@misc{,
title = {{Why Do Oil Wells Need Permeability and Porosity? - Hill Country Exploration, Inc.}},
url = {http://hillcountryexploration.com/why-do-oil-wells-need-permeability-and-porosity/},
urldate = {2020-02-25}
}
@misc{,
title = {{Triaxial Testing - an Introduction}},
url = {https://www.vjtech.co.uk/blog/triaxial-testing-an-introduction},
urldate = {2020-05-01}
}
@inproceedings{Ai2008,
author = {Ai, Z Y and Wang, Q S},
booktitle = {Geotechnical Special Publication},
isbn = {9780784409725},
issn = {08950563},
keywords = {Layered Soils ; Compression;},
number = {179},
pages = {678--685},
title = {{Axisymmetric biot's consolidation of multi-layered soils with compressible constituents}},
year = {2008}
}
@article{Ai2013,
abstract = {To start with, an analytical layer-element (i.e., a symmetric stiffness matrix), which describes the relationship between the generalized displacements and the stress levels of a layer subjected to non-axisymmetric loading, is exactly derived in the transformed domain by the application of a Laplace-Hankel transform with respect to variables t and r, a Fourier expansion with respect to variable $\theta$, and a Laplace transform and its inversion with respect to variable z, based on the governing equations of Biot's consolidation of multi-layered saturated poroelastic materials with anisotropic permeability. The analytical layer-element experiences considerable improvement in computation efficiency and stability, since it only contains negative exponential functions in its elements. In addition, a global stiffness matrix for multi-layered saturated poroelastic media is obtained by assembling the interrelated layer-elements based on the continuity conditions between adjacent layers. By introducing the boundary conditions and solving the global stiffness matrix, the solutions in the Laplace-Hankel transformed domain are obtained, and the final solutions can be recovered by a numerical inversion of the Laplace-Hankel transform. Finally, numerical examples are presented to verify the theory and to study the effect of the property of anisotropic permeability on vertical displacements and excess pore pressure. The calculation results show that the property of anisotropic permeability has a great influence on the process of consolidation. {\textcopyright} 2013 The Japanese Geotechnical Society. Production and hosting by Elsevier B.V. All rights reserved.},
author = {Ai, Zhi Yong and Cang, Nai Rui},
doi = {10.1016/j.sandf.2013.04.003},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Ai, Cang - 2013 - Non-axisymmetric Biot consolidation analysis of multi-layered saturated poroelastic materials with anisotropic permeab.pdf:pdf},
issn = {00380806},
journal = {Soils and Foundations},
keywords = {Analytical layer-element,Anisotropic permeability,Multi-layered saturated poroelastic materials,Non-axisymmetric consolidation},
number = {3},
pages = {408--416},
title = {{Non-axisymmetric Biot consolidation analysis of multi-layered saturated poroelastic materials with anisotropic permeability}},
volume = {53},
year = {2013}
}
@article{Andra2013,
author = {Andr{\"{a}}, Heiko and Combaret, Nicolas and Dvorkin, Jack and Glatt, Erik and Han, Junehee and Kabel, Matthias and Keehm, Youngseuk and Krzikalla, Fabian and Lee, Minhui and Madonna, Claudio and Marsh, Mike and Mukerji, Tapan and Saenger, Erik H. and Sain, Ratnanabha and Saxena, Nishank and Ricker, Sarah and Wiegmann, Andreas and Zhan, Xin},
doi = {10.1016/j.cageo.2012.09.005},
issn = {00983004},
journal = {Computers {\&} Geosciences},
month = {jan},
pages = {25--32},
title = {{Digital rock physics benchmarks—Part I: Imaging and segmentation}},
url = {https://linkinghub.elsevier.com/retrieve/pii/S0098300412003147},
volume = {50},
year = {2013}
}
@article{Andra2012,
abstract = {This is the second and final part of our digital rock physics (DRP) benchmarking study. We use segmented 3-D images (one for Fontainebleau, three for Berea, three for a carbonate, and one for a sphere pack) to directly compute the absolute permeability, the electrical resistivity, and elastic moduli. The numerical methods tested include a finite-element solver (elastic moduli and electrical conductivity), two finite-difference solvers (elastic moduli and electrical conductivity), a Fourier-based Lippmann-Schwinger solver (elastic moduli), a lattice-Boltzmann solver (hydraulic permeability), and the explicit-jump method (hydraulic permeability and electrical conductivity). The setups for these numerical experiments, including the boundary conditions and the total model size, varied as well. The results thus produced vary from each other. For example, the highest computed permeability value may differ from the lowest one by a factor of 1.5. Nevertheless, all these results fall within the ranges consistent with the relevant laboratory data. Our analysis provides the DRP community with a range of possible outcomes which can be expected depending on the solver and its setup.},
author = {Andr{\"{a}}, Heiko and Andr{\"{a}}, Andr¨ and Combaret, Nicolas and Dvorkin, Jack and Glatt, Erik and Han, Junehee and Kabel, Matthias and Keehm, Youngseuk and Krzikalla, Fabian and Lee, Minhui and Madonna, Claudio and Marsh, Mike and Mukerji, Tapan and Saenger, Erik H and Sain, Ratnanabha and Saxena, Nishank and Ricker, Sarah and Wiegmann, Andreas and Zhan, Xin},
doi = {10.1016/j.cageo.2012.09.008},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Andr{\"{a}} et al. - 2012 - Digital rock physics benchmarks-part II Computing effective properties.pdf:pdf},
keywords = {Carbonate,Digital rock,Effective physical properties,Numerical upscaling,Sandstone,Sphere pack},
title = {{Digital rock physics benchmarks-part II: Computing effective properties}},
url = {http://dx.doi.org/10.1016/j.cageo.2012.09.008},
year = {2012}
}
@article{Arns2002,
abstract = {... Accurately predicting properties from microstructural information requires an accurate quantitative description of the complex ... Arns et al., 2001a), we showed that it is possible to accurately predict transport properties from digitized images by estimating and minimizing ... $\backslash$n},
author = {Arns, Christoph H. and Knackstedt, Mark A. and Pinczewski, W. Val and Garboczi, Edward J.},
doi = {10.1190/1.1512785},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Arns et al. - 2002 - Computation of linear elastic properties from microtomographic images Methodology and agreement between theory and.pdf:pdf},
isbn = {00168033$\backslash$r19422156},
issn = {0016-8033},
journal = {Geophysics},
number = {5},
pages = {1396--1405},
title = {{Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment}},
url = {http://library.seg.org/doi/10.1190/1.1512785},
volume = {67},
year = {2002}
}
@article{Arns,
abstract = {Elastic property-porosity relationships are derived directly from microtomographic images. This is illustrated for a suite of four samples of Fontainebleau sandstone with porosities ranging from 7.5{\%} to 22{\%}. A finite-element method is used to derive the elastic properties of digitized images. By estimating and minimizing several sources of numerical error, very accurate predictions of properties are derived in excellent agreement with experimental measurements over a wide range of the porosity. We consider the elastic properties of the digitized images under dry, water-saturated, and oil-saturated conditions. The observed change in the elastic properties due to fluid substitution is in excellent agreement with the exact Gassmann's equations. This shows both the accuracy and the feasibility of combining mi-crotomographic images with elastic calculations to accurately predict petrophysical properties of individual rock morphologies. We compare the numerical predictions to various empirical, effective medium and rigorous approximations used to relate the elastic properties of rocks to porosity under different saturation conditions.},
author = {Arns, Christoph H and Knackstedt, Mark A and Pinczewski, W Val and Garboczi, Edward J},
doi = {10.1190/1.1512785},
journal = {GEOPHYSICS},
number = {5},
pages = {1396--1405},
title = {{Computation of linear elastic properties from microtomographic images: Methodology and agreement between theory and experiment}},
url = {http://library.seg.org/},
volume = {67},
year = {2002}
}
@article{ASTM2002,
abstract = {This standard is issued under the fixed designation D 3148; the number immediately following the designation indicates the year of original adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A superscript epsilon (e) indicates an editorial change since the last revision or reapproval. 1. Scope * 1.1 This test method covers the determination of elastic moduli of intact rock core specimens in uniaxial compression. It specifies the apparatus, instrumentation, and procedures for determining the stress-axial strain and the stress-lateral strain curves, as well as Young's modulus, E, and Poisson's ratio, n. NOTE 1—This test method does not include the procedures necessary to obtain a stress-strain curve beyond the ultimate strength.},
author = {ASTM},
doi = {10.1520/D7012-10.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/ASTM - 2002 - Standard Test Method for Compressive Strength and Elastic Moduli of Intact Rock Core Specimens under Varying States of Str.pdf:pdf},
journal = {Astm},
number = {C},
pages = {1--6},
title = {{Standard Test Method for Compressive Strength and Elastic Moduli of Intact Rock Core Specimens under Varying States of Stress and Temperatures}},
volume = {04},
year = {2002}
}
@article{Bagheri2006,
abstract = {Fracture opening and closure caused by changes in the effective stress on fracture planes is well known. This phenomenon happens in aquifers and hydrocarbon reservoirs where production or injection events change the applied effective stress. Modeling this phenomenon requires a rigorous coupled geomechanics and flow simulator as well as detailed information regarding fracture properties, spacing, and orientation. A method has been developed to account for the effects of fractures on deformation in coupled reservoir and geomechanics simulation. The equivalent continuum approach was used where the constitutive matrix of individual blocks was calculated by means of an analytical formula that considers both rock and fracture deformation properties. The rock material is assumed to be isotropic and the normal stiffness of fractures varies with the applied effective stress according to a law that is typical for joints. The shear deformation of the fractures can be incorporated easily in the future. The general pseudo-continuum model was verified by comparing it with an approach using explicit modeling of the fractures. The fractured rock geomechanics model is then coupled to a single porosity, multiphase flow model. The deformations produce changes in the permeability tensor in both magnitude and orientation, which in turn influences compaction behavior. {\textcopyright} 2006 NRC Canada.},
author = {Bagheri, Mohammad Ali and Settari, Antonin},
doi = {10.1139/T06-024},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Bagheri and Settari (2006) - Effects of fractures on reservoir deformation and flow modeling.pdf:pdf},
issn = {00083674},
journal = {Canadian Geotechnical Journal},
keywords = {Coupling,Equivalent moduli,Fracture deformation,Reservoir compaction,Reservoir simulation},
number = {6},
pages = {574--586},
title = {{Effects of fractures on reservoir deformation and flow modeling}},
volume = {43},
year = {2006}
}
@article{Baird2013,
author = {Baird, A. F. and Kendall, J.- M. and Verdon, J. P. and Wuestefeld, A. and Noble, T. E. and Li, Y. and Dutko, M. and Fisher, Q. J.},
doi = {10.1093/gji/ggt274},
journal = {Geophysical Journal International},
month = {nov},
number = {2},
pages = {1120--1131},
publisher = {Oxford University Press},
title = {{Monitoring increases in fracture connectivity during hydraulic stimulations from temporal variations in shear wave splitting polarization}},
url = {https://academic.oup.com/gji/article-lookup/doi/10.1093/gji/ggt274},
volume = {195},
year = {2013}
}
@article{Berryman1980,
author = {Berryman, James G},
doi = {10.1063/1.91951},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Berryman - 1980 - Cite as.pdf:pdf},
journal = {Appl. Phys. Lett},
pages = {382},
title = {{Confirmation of Biot's theory}},
url = {https://doi.org/10.1063/1.91951},
volume = {37},
year = {1980}
}
@article{Berryman1999,
author = {Berryman, James G},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Berryman - 1999 - Tutorial Origin of Gassmann ' s equations.pdf:pdf},
journal = {Geophysics},
number = {5},
pages = {1627 -- 1629},
title = {{Tutorial Origin of Gassmann ' s equations}},
url = {http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.80.5400{\&}rep=rep1{\&}type=pdf},
volume = {64},
year = {1999}
}
@article{Biot1955,
abstract = {The author's previous theory of elasticity and consolidation for isotropic materials [J. Appl. Phys. 12, 155-164 (1941)] is extended to the general case of anisotropy. The method of derivation is also different and more direct. The particular cases of transverse isotropy and complete isotropy are discussed.},
author = {Biot, M. A.},
doi = {10.1063/1.1721956},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1955 - Theory of elasticity and consolidation for a porous anisotropic solid.pdf:pdf},
issn = {00218979},
journal = {Journal of Applied Physics},
number = {2},
pages = {182--185},
title = {{Theory of elasticity and consolidation for a porous anisotropic solid}},
volume = {26},
year = {1955}
}
@article{BIOT1935,
author = {Biot, M. A.},
journal = {Annaies de la Societe Scientifique de Bruxelles},
pages = {110--113},
title = {{Le problem de la consolidation des matieres argileuses sous une charge}},
url = {https://ci.nii.ac.jp/naid/10007808764/},
year = {1935}
}
@phdthesis{Bird2013,
author = {Bird, Michael},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Unknown - 2013 - Numerical Calculation of Transport Properties of Rock With.pdf:pdf},
school = {University of Saskatchewan},
title = {{Numerical Calculation of Transport Properties of Rock with Geometry Obtained Using Synchrotron X-Ray Computed Microtomography}},
year = {2013}
}
@techreport{Boudreau1996,
abstract = {Use of Fick's First Law to estimate solute fluxes is arguably the most common and important calculation related to the geochemistry and environmental chemistry of fine-grained unlithified sediments. In such porous media, the diffusion coefficient in this law must be reduced by the square of the tortuosity to account for the longer diffusive paths. Experimental methods to estimate tortuosity are specialized or time consuming, and not routinely done. An analysis of available data shows that tortuosity, 0, is accurately correlated to readily measured porosity values, cp, through the simple relation: o2 = 1 {\_} Wv2).},
author = {Boudreau, Bernard P},
booktitle = {Geochimica et Cosmochimica Acta},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Boudreau - 1996 - The diffusive tortuosity of fine-grained unlithified sediments.pdf:pdf},
number = {16},
pages = {3139--3142},
title = {{The diffusive tortuosity of fine-grained unlithified sediments}},
volume = {60},
year = {1996}
}
@book{Bourbie1987,
address = {Houston},
author = {Bourbie, Thierry and Coussy, Olivier and Zinszner, Bernard},
isbn = {0-87201-025-2},
pages = {334},
publisher = {Gulf Publ. Co.},
title = {{Acoustics of Porous Media}},
year = {1987}
}
@book{Bower2009,
author = {Bower, A F},
isbn = {9781439802489},
keywords = {Applied;,Mechanics},
language = {English},
pages = {1--795},
publisher = {CRC Press},
title = {{Applied mechanics of solids}},
url = {http://solidmechanics.org/text/Chapter4{\_}1/Chapter4{\_}1.htm},
year = {2009}
}
@techreport{Brown1975,
abstract = {An equation is derived for the dependence of t,he elastic propert,ies of a porous material on the compressibility of{\_} the pore fluid More genarAlyj the elastic properties of a container of arbitrary shape are relat,ed to the compressibility of the fluid filling a cavity in the container. If t,he pore system or cavity under considerat,ion is filled wit)h a fluid of compressibility K{\~{}}, t,he cotnpres-sibility K* of the closed container is given by (K*-K,,f)-l = (KA-KA,)-' + [(KF-K{\&}{\#}'-1. Here K{\~{}} is the compressibilit,y of the container with the fluid pressure held constant in the interconnected pore system or cavity. Fluids in other pores or cavities not connected with the one in question cont,ribut,e to the value of KA. {\#} is the portiqity; i.e.; the volume fraction corresponding to the pore system or cavity in question. The equation contains t,wo distinct effective compressibilities, K,,{\~{}} and 4, of t,he material exclusive of the pore fluid. When this material is homogeneous, one has Key = K+, and the equation reduces to a well-known relat,ion by Gassmann. For t,he other elastic properties, we also obt,ain expressions which generalize Gasrmann' s work and which also differ from it only in the appearance of K+ instead of K.,{\textless} in one tfTIl1. Our redt is intimately related to the reciprocit,y theorem of elasticity. Special cases arc discllsscd. INTRODlC:CTION More than twenty ycnrs ago, Gnssmann (1051) derived a rclntion bctwvren the ela.stic propertirs of a porons medium with fluid-filled pores and the elastic proprrtics of that same medium with rmpty pore+. His rquntion has becomc an important tool in the intcrpreta-tion of seismic data on sedimrntnry matcrinls. We hnvc investigated the extent to whirl1 it, is valid for thesr applications. This question arises brcausr thr assumptions on which G;lsstnann' s equation rests do not, apply fully to many re:d materials of intrrrst. Gnssmann considered a mat{\&}d whic{\~{}}h is homogeneous on a macroscopic scnlc. It consists of a microhomoprneous and microisotropic elastic solid out, of which a porr is carved. The pore spnrc is interconnrctcd and has nn irrrgu-lar shape to make it, possible for the concept of macrohomogeneity to apply. The .solid need not be continuona. The fluid has a compressibility JQ., whirl1 is the explicit variable in Gnssmann' s theoretical considcrntions. Scdimentnry materials, to which his theory is most, often npplicd, do not even :ipproximat,cly satisfy thr conditions of microhomogmeitjy and microisotropy. For this reason WP trird t,o estimate the drparturcs from Gnssm:rnn' s equation to be rxpected for various models. To our surprise we folmtl that, with a minor grncralizatjion involving only one nrw pnramrtrr, the requirements of mirrohomogeneity and microisotropy can be dropped rntircly. This givrs a new cqua-tion which can be applird with much more confidrnce, nltjhough it, is of collrsr st,ill based on the nsslimptions that t,hn solid is elastic Manuscript received by t.he Editor Octohcr 7, 1974; rev{\&}d manuscript rcccived Frbrunr!: 5, 1975. * Chevron Oil Field Research Co., La Habm, Calif. 90631. t Chevron Oil Field Research Co., La Habra, Cxlif. 96031; pcrmancnt addrrss, Ohio State ITniversit,y, Columbus, Ohio 43210.},
author = {Brown, Robert J S and 4nd, * and Korringa', Jan},
booktitle = {GEOPHYSICS},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Brown, 4nd, Korringa' - 1975 - ON THE DEPENDENCE OF THE ELASTIC PROPERTIES OF A POROUS ROCK ON THE COMPRESSIBILITY OF THE PORE FLUID.pdf:pdf},
number = {4},
pages = {608--616},
title = {{ON THE DEPENDENCE OF THE ELASTIC PROPERTIES OF A POROUS ROCK ON THE COMPRESSIBILITY OF THE PORE FLUID}},
url = {http://library.seg.org/},
volume = {40},
year = {1975}
}
@article{Buckingham2004,
abstract = {When the bulk and shear moduli of the mineral frame are set to zero, the full Biot theory of wave propagation in a porous medium such as a marine sediment reduces to Williams' ''effective density fluid'' EDF model J. Acoust. Soc. Am. 110, 2276-2281 2001. Although eight material variables appear in the EDF model, it is in fact tightly constrained, possessing just three degrees of freedom: the phase speeds in the limits of low and high frequency, c 0 and c , respectively, and a transition frequency, f T , separating the low-and high-frequency regimes. In this paper, an algebraic approximation to the EDF model is formulated, which is termed the ''modified viscous fluid'' MVF model, involving only the three parameters (c 0 ,c , f T). Expressions are developed for (c 0 ,c , f T) in terms of the eight material properties; and a comparison of the MVF and EDF dispersion curves is performed, showing that they are essentially identical at all frequencies. Apart from its computational simplicity, the MVF model provides insight into the effect of each material parameter on the shape of the dispersion curves. For instance, the transition frequency scales as the ratio of the pore-fluid viscosity to the permeability, but neither the viscosity nor the permeability affects the limiting phase speeds c 0 and c .},
author = {Buckingham, Michael J},
doi = {10.1121/1.1646672},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Buckingham - 2004 - A three-parameter dispersion relationship for Biot's fast compressional wave in a marine sediment.pdf:pdf},
keywords = {4320Jr WMS Pages,4330Ma,769-776,PACS numbers},
title = {{A three-parameter dispersion relationship for Biot's fast compressional wave in a marine sediment}},
year = {2004}
}
@article{Butler2019,
author = {Butler, Samuel},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Butler - 2019 - An Analytical Solution for a Spherical Rock with a Spherical Fluid Inclusion.pdf:pdf},
title = {{An Analytical Solution for a Spherical Rock with a Spherical Fluid Inclusion}},
year = {2019}
}
@article{Butler2018,
author = {Butler, Samuel},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Butler - Unknown - Comparison of a simple 2D poro-elastic solid results with simulations and determination of coefficients(2).pdf:pdf},
journal = {Unpublished},
title = {{Comparison of a Simple 2D Poro-Elastic Solid Results with Simulations and determination of Coefficients}},
year = {2018}
}
@misc{Butler,
author = {Butler, Samuel},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Butler - Unknown - Comparison of a simple 2D poro-elastic solid results with simulations and determination of coefficients(2).pdf:pdf},
title = {{Comparison of a simple 2D poro-elastic solid results with simulations and determination of coefficients}}
}
@misc{Butlera,
author = {Butler, Samuel},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Butler - Unknown - A Simple 1-D Model for Effective Parameters.pdf:pdf},
title = {{A Simple 1-D Model for Effective Parameters}}
}
@misc{Butlerb,
author = {Butler, Samuel},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Butler - Unknown - Solid Mechanics Equations' Derivations.pdf:pdf},
title = {{Solid Mechanics Equations' Derivations}}
}
@article{Deng2016,
author = {Deng, Wubing and Morozov, Igor B.},
doi = {10.1190/geo2015-0406.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Deng, Morozov - 2016 - Solid viscosity of fluid-saturated porous rock with squirt flows at seismic frequencies.pdf:pdf},
issn = {0016-8033},
journal = {Geophysics},
number = {4},
pages = {D395--D404},
title = {{Solid viscosity of fluid-saturated porous rock with squirt flows at seismic frequencies}},
url = {http://library.seg.org/doi/10.1190/geo2015-0406.1},
volume = {81},
year = {2016}
}
@incollection{Detournay1993,
author = {Detournay, Emmanuel and {H-D Cheng}, Alexander},
booktitle = {Chapter 5 of Comprehensive Rock Engineering: Principles, Practice and Projects},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Barton et al. - 2009 - Journal of Human Nutrition and Dietetics (JHND).pdf:pdf},
pages = {113--171},
publisher = {Pergamon Press},
title = {{Fundamentals of Poroelasticity}},
url = {https://olemiss.edu/projects/sciencenet/poronet/fundporo.pdf},
volume = {II},
year = {1993}
}
@book{Donaldson2008,
abstract = {"The wettability of oil reservoirs is the most important factor controlling the rate of oil recovery, providing a profound effect on petroleum production. The petroleum industry has increased the research effort on wettability, but, so far, there has never been a comprehensive book on the topic. This is the first book to go through all of the major research and applications on wettability. This book will prepare the professional, and academic, engineer for the challenges facing the oil and gas production characteristics of petroleum reservoirs."–BOOK JACKET.},
address = {Houston, Tex.},
author = {Donaldson, Erle C},
isbn = {1933762292},
keywords = {Wetting},
language = {eng},
publisher = {Gulf Pub. Co.},
title = {{Wettability}},
year = {2008}
}
@article{Fabricius2010,
abstract = {Elastic moduli of water-saturated sedimentary rocks are in some cases different from moduli derived using Gassmann fluid substitution on data for rocks in the dry state. To address this discrepancy, we use a data set representing 115 carbonate samples from different depositional settings and a wide range of porosity and permeability. Depositional texture is reflected in the effect of water on elastic moduli and in the porosity-permeability relationship. Depositional texture is taken into account when porosity and permeability are combined in the effective specific surface of pores, which is related for a given pore fluid to the reference frequency as defined by Biot. For a given frequency of elastic waves, we obtain Biot's frequency ratio between measured ultrasonic wave frequency and Biot reference frequency. For mostsamples with a frequency ratio above 10, elastic moduli in the water-saturated case are higher than predicted from elastic moduli in the dry case by Gassmann fluid substitution. This stiffening effect of water in some cases may be described by Biot's high-frequency model, although in heterogeneous samples, a squirt mechanism is more probable. For data representing frequency ratios of 0.01 to 1, Gassmann fluid substitution works well. For samples with frequency ratios below 0.001, elastic moduli in the water-saturated case are lower than would be expected according to Gassmann's equations or to Biot's theory. This water-softening effect becomes stronger with decreasing frequency ratio. Water softening or stiffening of elastic moduli may be addressed by effective-medium modeling. In this study, we used the isoframe model to quantify water softening as a function of frequency ratio. {\textcopyright} 2010 Society of Exploration Geophysicists.},
author = {Fabricius, Ida L. and B{\"{a}}chle, Gregor T. and Eberli, Gregor P.},
doi = {10.1190/1.3374690},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Fabricius et al. (2010) - Elastic moduli of dry and water-saturated carbonates-Effect of depositional texture, porosity, and permeability.pdf:pdf},
issn = {00168033},
journal = {Geophysics},
number = {3},
title = {{Elastic moduli of dry and water-saturated carbonates - Effect of depositional texture, porosity, and permeability}},
volume = {75},
year = {2010}
}
@book{Fridtjov2008,
abstract = {"This book presents an introduction to the science of Continuum Mechanics. It is written as a textbook for advanced undergraduate and graduate students, and for researchers, and is supplied with examples and exercise problems. The subject matter is organized such that the book may be used as a textbook in four separate courses: an introductory course in Continuum Mechanics focusing on kinematics, kinetics, stress analysis, tensors in Cartesian coordinates, small strain analysis, classical theory of elasticity, and fluid mechanics; a supplementary course in Mechanics of Materials including anisotropic elasticity, viscoelasticity, and plasticity; a graduate course in Continuum Mechanics including the theory of large deformations and the general theory of constitutive modelling of materials; and Tensor Analysis in Cartesian and general curvilinear coordinates."--Jacket.},
author = {Fridtjov, Irgens},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Continuum Mechanics Textbook (2008) - Fridtjov Irgens.pdf:pdf},
isbn = {9783540742982},
keywords = {Continuum mechanics,Continuum mechanics -- Textbooks,Textbooks},
pages = {1--667},
publisher = {Springer-Verlag Berlin Heidelberg},
title = {{Continuum mechanics}},
year = {2008}
}
@article{Ghabezloo2015,
abstract = {A self-consistent micromechanical model is proposed to evaluate the effective compressibility of sandstones. The sandstone microstructure is modelled by spherical inclusions with imperfect interfaces embedded in a matrix. Strain localisation coef.cients are obtained by extension of the composite sphere model of Herve and Zaoui (1993) to the case of imperfect interfaces between phases. The variations of the effective compressibility and Poisson's ratio of the composite are evaluated as a function of the porosity and the normal and tangential interface compliances. Assuming a stress dependent compliance for the interface between the grains results in a rock compressibility which is decreasing by increasing confining pressure. It is demonstrated that by calibration of a simple stress dependency law for the interface compliances the model results in stress-dependent compressibility which is compatible with the experimental evaluations. The proposed model is compared with the cracks in matrix model of Sayers and Kachanov (1995) and very close results are obtained for modelling the stress-dependent compressibility. This shows that if the isotropic case is considered, it does not matter if cracks are considered to be at grain boundaries or not, as long as their orientation distribution is isotropic and their centers distribution is random.},
author = {Ghabezloo, Siavash},
doi = {10.1016/j.euromechsol.2014.12.007},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Ghabezloo - 2015 - A micromechanical model for the effective compressibility of sandstones.pdf:pdf},
issn = {09977538},
journal = {European Journal of Mechanics, A/Solids},
keywords = {Imperfect interface,Micromechanics,Sandstone},
pages = {140--153},
publisher = {Elsevier Masson SAS},
title = {{A micromechanical model for the effective compressibility of sandstones}},
url = {http://dx.doi.org/10.1016/j.euromechsol.2014.12.007},
volume = {51},
year = {2015}
}
@article{Goranson1934,
author = {Goranson, Roy R.W.},
doi = {10.2307/24529495},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Roy R.W. Goranson - 1934 - A note on the elastic properties of rocks.pdf:pdf},
journal = {Journal of the Washington Academy of Sciences},
number = {10},
pages = {419--428},
title = {{A note on the elastic properties of rocks}},
volume = {24},
year = {1934}
}
@book{Guo2017,
abstract = {As a well stimulation technique, hydraulic fracturing has a wide range of applications, including the development of unconventional resources, production enhancement in low- and moderate-permeability reservoirs, bypassing near wellbore damage in high-permeability reservoirs, reducing sand production in loosely consolidated or unconsolidated sandstone reservoirs, and connecting the natural fractures in a formation to the wellbore. Hydraulic fracturing is a process in which fluid is pumped through the wellbore into the targeted formation at pressures high enough to break the rock and create a fracture. A clean fluid is typically pumped initially to allow the fracture to initiate and propagate. Once the desired fracture dimensions are achieved, the pumping is switched from the clean fluid to a mixture of fluid and proppant. Upon the completion of the process, the fluid inside the fracture continues leaking off into the formation until the fracture closes on proppant. The goal of hydraulic fracturing is to create a conductive path from the wellbore extended deep into the reservoir. This chapter presents a detailed description of hydraulic fracturing treatments covering basic rock mechanics, overview of hydraulic fracture geometry, fracture models, fracturing pressure analysis, fracturing materials and equipment, fractured well productivity, fracturing treatment design, frac-pack treatments, fracturing horizontal wells, and fracturing treatment evaluation.},
address = {Boston},
author = {Guo, Boyun and Liu, Xinghui and Tan, Xuehao},
doi = {https://doi.org/10.1016/B978-0-12-809374-0.00014-3},
editor = {Guo, Boyun and Liu, Xinghui and Tan, Xuehao B T - Petroleum Production Engineering (Second Edition)},
isbn = {978-0-12-809374-0},
keywords = {Hydraulic,frac-fluid,fracturing,models,proppant},
pages = {389--501},
publisher = {Gulf Professional Publishing},
title = {{Chapter 14 - Hydraulic Fracturing}},
url = {http://www.sciencedirect.com/science/article/pii/B9780128093740000143},
year = {2017}
}
@article{Handoyo2017,
abstract = {Rock properties analysis (porosity, permeability, elastic modulus, and wave velocity) of the rock is important to note as one of the methods to determine the characteristics of the reservoir rock. Rock properties can calculated in conventional (laboratory), indirect (inversion of seismic waves), and digital computation (Digital Rock Physics). This paper will introduce and discuss the digital calculation/simulation and empirical equation to predict the value of the rock properties from reservoir sandstone. The data used is the samples of the data sandstone core (reservoir) subsurface in an oil field. The research method is to combine the data from a thin layer, a digital image of rocks in three-dimensional ($\mu$-CT-Scan), and empirical approaches of the equations of permeability on rocks and Lattice Boltzmann equation. Digital image of a scanned using $\mu$-CT-Scan used to determine value rock properties and pore structure at the microscale and visualize the shape of the pores of rock samples in 3D. The method combined with rock physics can be powerful tools for determining rock properties from small rock fragments.},
author = {Handoyo, Handoyo and Fatkhan, Fatkhan and Suharno and Fourier, Del},
journal = {IOP Conference Series: Earth and Environmental Science},
keywords = {Digitalbild ; D{\"{u}}nne Schicht ; Seismische Welle ; B,Handoyo2017},
language = {eng},
mendeley-tags = {Handoyo2017},
number = {1},
pages = {12022},
title = {{Introduction to Digital Rock Physics and Predictive Rock Properties of Reservoir Sandstone}},
url = {https://iopscience.iop.org/article/10.1088/1755-1315/62/1/012022/pdf},
volume = {62},
year = {2017}
}
@article{Handoyo2017a,
abstract = {Rock properties analysis (porosity, permeability, elastic modulus, and wave velocity) of the rock is important to note as one of the methods to determine the characteristics of the reservoir rock. Rock properties can calculated in conventional (laboratory), indirect (inversion of seismic waves), and digital computation (Digital Rock Physics). This paper will introduce and discuss the digital calculation/simulation and empirical equation to predict the value of the rock properties from reservoir sandstone. The data used is the samples of the data sandstone core (reservoir) subsurface in an oil field. The research method is to combine the data from a thin layer, a digital image of rocks in three-dimensional ($\mu$-CT-Scan), and empirical approaches of the equations of permeability on rocks and Lattice Boltzmann equation. Digital image of a scanned using $\mu$-CT-Scan used to determine value rock properties and pore structure at the microscale and visualize the shape of the pores of rock samples in 3D. The method combined with rock physics can be powerful tools for determining rock properties from small rock fragments.},
author = {Handoyo and Fatkhan and Suharno and Fourier, Del},
doi = {10.1088/1755-1315/62/1/012022},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Handoyo et al (2017) - Introduction to Digital Rock Physics and Predictive Rock Properties of Reservoir Sandstone.pdf:pdf},
issn = {17551315},
journal = {IOP Conference Series: Earth and Environmental Science},
number = {1},
title = {{Introduction to Digital Rock Physics and Predictive Rock Properties of Reservoir Sandstone}},
volume = {62},
year = {2017}
}
@article{Hilfer1998,
abstract = {The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena. Therefore a more general system of macroscopic equations is derived here which incorporates the spatiotemporal variation of interfacial energies. These equations are based on the theory of mixtures in macroscopic continuum mechanics. They include wetting phenomena through surface tensions instead of the traditional use of capillary pressure functions. Relative permeabilities can be identified in this approach which exhibit a complex dependence on the state variables. A capillary pressure function can be identified in equilibrium which shows the qualitative saturation dependence known from experiment. In addition the new equations allow to describe the spatiotemporal changes of residual saturations during immiscible displacement.},
archivePrefix = {arXiv},
arxivId = {cond-mat/9804299},
author = {Hilfer, R.},
doi = {10.1103/PhysRevE.58.2090},
eprint = {9804299},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Hilfer - 1998 - Macroscopic equations of motion for two-phase flow in porous media.pdf:pdf},
isbn = {1063-651X},
issn = {1063651X},
journal = {Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
number = {2},
pages = {2090--2096},
primaryClass = {cond-mat},
title = {{Macroscopic equations of motion for two-phase flow in porous media}},
volume = {58},
year = {1998}
}
@article{Ingram2006,
abstract = {We explore a few topics in continuum theory from their roots. Specifically, we examine the evolution of the definition of continuum and then restrict most of our attention to one-dimensional continua. Particular attention is paid to indecomposable continua, the fixed point property, hereditary equivalent continua, homogeneous continua, chainable continua and span of continua. In this paper, we give an inverse limit description of an indecomposable circle-like continuum that is homeomorphic to the first example of an indecomposable continuum given by L.E.J. Brouwer in 1910. {\textcopyright} 2005 Elsevier B.V. All rights reserved.},
author = {Ingram, W. T.},
doi = {10.1016/j.topol.2004.08.024},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Ingram - 2006 - A brief historical view of continuum theory.pdf:pdf},
issn = {01668641},
journal = {Topology and its Applications},
keywords = {Chainable,Circle-like,Continuum,Fixed point property,Hereditarily equivalent,Homogeneous,Indecomposable,Span},
month = {apr},
number = {10 SPEC. ISS.},
pages = {1530--1539},
publisher = {Elsevier},
title = {{A brief historical view of continuum theory}},
volume = {153},
year = {2006}
}
@techreport{King1892,
author = {King, F. H.},
booktitle = {United States Department Of Agriculture, Weather Bureau, Bulletin 5},
institution = {United States Department Of Agriculture, Weather Bureau, Bulletin 5},
title = {{Fluctuations in the Level and Rate of Movement of Ground-water on the Wisconsin Agricultural Experiment Station Farm, and at Whitewater, Wisconsin}},
year = {1892}
}
@techreport{Kundu,
abstract = {Linear elasticity and Poroelasticity both are parts of the continuum mechanics. Mathematical study of the deformation under the given loading conditions is present by the linear elasticity. In Poroelasticity inhomogeneous media consisting of an elastic solid skeleton in filtrated by a diffusing pore fluid. Present paper gives the review of the available elasticity and poroelasticity theory for the various media. Some general mathematical expression for the available theory is also given. In the literature, the deformation problem of a poroelastic half-space by surface loads is widely studied. The deformation study has importance in geophysical applications, such as mine collapse and fluid-driven cracks.},
author = {Kundu, Sandeep and Kundu, Pradeep},
booktitle = {International Journal of Trend in Research and Development},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Kundu, Kundu - Unknown - A Review on Elasticity and Poroelasticity Theory for Various Media 1.pdf:pdf},
keywords = {Elasticity,Poroelasticity},
number = {3},
pages = {2394--9333},
title = {{A Review on Elasticity and Poroelasticity Theory for Various Media 1}},
url = {www.ijtrd.com},
volume = {3}
}
@article{Makhnenko2013,
abstract = {The unjacketed bulk modulus of sandstone, Ks', is often considered to be equal to the bulk modulus of quartz, the main mineral which forms it. However, preliminary tests and some other works show that for Berea sandstone this assumption might be violated. Three different types of laboratory experiments were performed on the rock to measure Ks' and Biot's coefficient $\alpha$: unjacketed plane strain compression, drained compression with water collection, and jacketed/unjacketed hydrostatic compression. The values of these parameters are reported at 5 MPa mean Terzaghi effective stress; $\alpha$ is found to be in the range of 0.64 - 0.74 and Ks' = 27.2 - 30.9 GPa. The latter value is significantly smaller than the measured bulk modulus of quartz, Kquartz = 37.0 GPa. It can be explained by the presence of clays or the existence of non-connected pore space in the rock. {\textcopyright} 2013 American Society of Civil Engineers.},
author = {Makhnenko, R. M. and Labuz, J. F.},
doi = {10.1061/9780784412992.057},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Makhnenko and Labuz (2013) - Unjacketed Bulk Compressibility of Sandstone in Laboratory Experiments.pdf:pdf},
isbn = {9780784412992},
journal = {Poromechanics V - Proceedings of the 5th Biot Conference on Poromechanics},
number = {May 2014},
pages = {481--488},
title = {{Unjacketed bulk compressibility of sandstone in laboratory experiments}},
year = {2013}
}
@article{Makhnenko2012,
author = {Makhnenko, Roman},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Makhnenko - 2012 - Drained and Undrained Plane Strain.pdf:pdf},
number = {November 2016},
pages = {21--23},
title = {{Drained and Undrained Plane Strain}},
year = {2012}
}
@article{Makhnenko2016,
abstract = {In situ rock is often saturated with fluid, the presence of which affects both elastic parameters and inelastic deformation processes. Techniques were developed for testing fluid-saturated porous rock under the limiting conditions of drained (long-term), undrained (short-term) and unjacketed (solid matrix) response in hydrostatic, axisymmetric and plane-strain compression. Drained and undrained poroelastic parameters, including bulk modulus, Biot and Skempton coefficients, of Berea sandstone were found to be stress dependent up to 35 MPa mean stress, and approximately constant at higher levels of loading. The unjacketed bulk modulus was measured to be constant for pressure up to 60 MPa, and it appears to be larger than the unjacketed pore bulk modulus. An elasto-plastic constitutive model calibrated with parameters from drained tests provided a first-order approximation of undrained inelastic deformation: dilatant hardening was observed due to pore pressure decrease during inelastic deformation of rock specimens with constant fluid content.This article is part of the themed issue 'Energy and the subsurface'.},
author = {Makhnenko, Roman Y. and Labuz, Joseph F.},
doi = {10.1098/rsta.2015.0422},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Makhnenko, Labuz - 2016 - Elastic and inelastic deformation of fluid-saturated rock.pdf:pdf},
isbn = {978-0-444-50260-5},
issn = {1364503X},
journal = {Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences},
keywords = {Dilatant hardening,Drained and undrained response,Plane-strain compression,Poroelasticity,Unjacketed bulk moduli},
number = {2078},
pmid = {27597783},
title = {{Elastic and inelastic deformation of fluid-saturated rock}},
volume = {374},
year = {2016}
}
@techreport{Mania2017,
author = {Mania, Faustine Matiku and Skogen, Erik},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Mania, Skogen - 2017 - ESTIMATION OF PERMEABILITY IN SILICICLASTIC RESERVOIRS FROM WELL LOG ANALYSIS AND CORE PLUG DATA BASED ON THE DAT.pdf:pdf},
title = {{Estimation of Permeability in Siliciclastic Reservoirs from Well Log Analysis And Core Plug Data; Based on The Data from An Exploration Well Offshore Norway}},
url = {https://brage.bibsys.no/xmlui/bitstream/handle/11250/2460619/17938{\_}FULLTEXT.pdf?sequence=1},
year = {2017}
}
@book{Mavko2009,
address = {Cambridge},
author = {Mavko, Gary and Mukerji, Tapan and Dvorkin, Jack},
doi = {10.1017/CBO9780511626753},
isbn = {9780511626753},
publisher = {Cambridge University Press},
title = {{The Rock Physics Handbook}},
url = {http://ebooks.cambridge.org/ref/id/CBO9780511626753},
year = {2009}
}
@article{McLellan1996,
abstract = {Wellbore instability can lead to expensive operational problems during the drilling, completion and production of horizontal and inclined wells. This paper reviews the direct and indirect symptoms of wellbore instability, its root causes, and various empirical and deterministic modelling approaches to predicting the risk of hole collapse or convergence. In general, linear elastic models that are only concerned with stability at the wellbore wall often give overly pessimistic predictions. An alternative approach, using the extent of the "yielded" zone around an unstable wellbore and the kinematics of rock detachment, is proposed for practical risk assessments. A case history for an open hole completed horizontal well in a limestone reservoir under high drawdown is described. General guidelines for conducting field-oriented stability assessments conclude the paper.},
author = {McLellan, P. J.},
doi = {10.2118/96-05-02},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/McLellan - 1996 - Assessing the risk of wellbore instability in horizontal and inclined wells.pdf:pdf},
issn = {00219487},
journal = {Journal of Canadian Petroleum Technology},
number = {5},
pages = {21--32},
title = {{Assessing the risk of wellbore instability in horizontal and inclined wells}},
volume = {35},
year = {1996}
}
@article{McNamee1960,
abstract = {In a previous paper (1) it was shown that the task of determining the displacements and stresses in a porous elastic medium could be facilitated by the introduction of two displacement functions and by the use of repeated transforms. Two problems of the semi-infinite body to the surface of which a uniform pressure is applied along an infinite strip or over a circular area are treated here in parallel. Expressions for quantities of engineering significance are derived when the surface is either fully permeable or completely impermeable to the flow of pore water, and the relation to the solutions of the equivalent elastic problems is discussed. 1. Introduction IN an earlier paper the authors reformulated the equations governing the stresses, displacements, and pore-water flow, in a loaded stratum of saturated clay (1). The theory of diffusion in a porous elastic medium is due to Biot (2); but we were able to show in the paper cited that, in problems of plane strain or axially symmetric strain, the dependent variables (the pore-water pressure, displacements, and stresses) could be expressed in terms of two displacement functions E and S. The use of these functions in conjunction with linear transforms leads to a simple and practical method for solving problems relating to the semi-infinite body. We illustrate the technique by considering two such problems here: (i) The stratum z {\^{}} 0 is loaded on the plane z = 0 by a uniform normal stress / along the strip-b {\^{}} x {\^{}} 6. Following Biot (2), we assume that the medium is isotropic, that the stress-strain relations are linear, and that the elastic constants and permeability are constant in space and time. (ii) The stratum is loaded on the surface 2 = 0 by a uniform normal pressure / over the circular area p {\^{}} b. The solutions of these problems are given in section 2 below in the form of infinite integrals which are in general rapidly convergent and easy to compute. A parallelism between plane strain and radial symmetry was established in (1) and this enables us to treat problems (i) and (ii) together with considerable economy of analysis. We have sought to simplify the},
author = {McNamee, John and Gibson, R. E.},
journal = {The Quarterly Journal of Mechanics and Applied Mathematics},
number = {2},
pages = {210--227},
title = {{Plane Strain and Axially Symmetric Problems of The Consolidation of a Semi-Infinite Clay Stratum}},
url = {https://academic.oup.com/qjmam/article-abstract/13/2/210/1889737},
volume = {13},
year = {1960}
}
@book{Melchior1983,
abstract = {Results of studies of the earth's tides are synthesized, the methods of the research are explained, and recommendations for future studies are made. The major topics covered include: tidal potential; the relation between the tidal theory and the precession-nutation theory; Love numbers and the description of tidal deformations; Kelvin's and Herglotz's theories of earth tides; reduction of the problem of elastic deformations of a sphere to a system of six differential equations of the first order; the liquid-core dynamic theory; tidal analysis; and measurement of the earth's tilt. Other major subjects addressed include: measurement of gravity tide; extensometry; deformations and indirect effects of a radially symmetric earth by surface loads; local perturbations in earth tide observations; general comparisons of experimental and theoretical results; tidal effects in astronomy; earth tides, satellite orbits, and space navigation; solid tides on the moon's surface; and tidal triggering of earthquakes, volcanoes, and geyser activity.},
address = {New York},
author = {Melchior, P. J.},
edition = {2nd},
keywords = {Astronomical Bodies,Astronomical Instruments,Camber,Covering,Deformation Effects,Deformation Mechanisms,Differential Equations,Dynamic Tests,Dynamical Systems,Dynamics,Elastic Deformation,Extensometers,Geophysics (Ah),Gravitation,Navigation,Presses,Probes,Satellites,Seismic Phenomena,Spheres,Surface Chemistry,Volcanoes,and Space Habitats (Mt)},
pages = {653},
publisher = {Pergamon Press},
title = {{The Tides of The Planet Earth}},
url = {http://search.proquest.com/docview/24090384/},
year = {1983}
}
@article{Meziere2014,
abstract = {To cite this version: Fabien M{\'{e}}zi{\`{e}}re, Marie Muller, Emmanuel Bossy, Arnaud Derode. Measurements of ultrasound velocity and attenuation in numerical anisotropic porous media compared to Biot's and multiple scattering models. Abstract This article quantitatively investigates ultrasound propagation in numerical anisotropic porous media with finite-difference simulations in 3D. The propagation media consist of clusters of ellipsoidal scatterers randomly distributed in water, mimicking the anisotropic structure of cancellous bone. Velocities and attenuation coefficients of the ensemble-averaged transmitted wave (also known as the coherent wave) are measured in various configurations. As in real cancellous bone, one or two longitudinal modes emerge, depending on the micro-structure. The results are confronted with two standard theoretical approaches: Biot's theory, usually invoked in porous media, and the Independent Scattering Approximation (ISA), a classical first-order approach of multiple scattering theory. On the one hand, when only one longitudinal wave is observed, it is found that at porosities higher than 90{\%} the ISA successfully predicts the attenuation coefficient (unlike Biot's theory), as well as the existence of negative dispersion. On the other hand, the ISA is not well suited to study two-wave propagation, unlike Biot's model, at least as far as wave speeds are concerned. No free fitting parameters were used for the application of Biot's theory. Finally we investigate the phase-shift between waves in the fluid and the solid structure, and compare them to Biot's predictions of in-phase and out-of-phase motions.},
author = {M{\'{e}}zi{\`{e}}re, Fabien and Muller, Marie and Bossy, Emmanuel and Derode, Arnaud and M{\'{e}}z{\`{i}}, Fabien},
doi = {10.1016/j.ultras.2013.09.013ï},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/M{\'{e}}zi{\`{e}}re et al. - 2014 - Measurements of ultrasound velocity and attenuation in numerical anisotropic porous media compared to Biot's and.pdf:pdf},
journal = {Ultrasonics},
keywords = {Biot's theory,Cancellous bone,FDTD simulations,Fast and slow waves,Multiple scattering,Porous media},
number = {5},
pages = {1146--54},
publisher = {Elsevier},
title = {{Measurements of ultrasound velocity and attenuation in numerical anisotropic porous media compared to Biot's and multiple scattering models.}},
url = {https://www.hal.inserm.fr/inserm-00877374},
volume = {54},
year = {2014}
}
@article{Moreles2018,
abstract = {Of interest is the characterization of a cancellous bone immersed in an acoustic fluid. The bone is placed between an ultrasonic point source and a receiver. Cancellous bone is regarded as a porous medium saturated with fluid according to Biot's theory. This model is coupled with the fluid in an open pore configuration and solved by means of the Finite Volume Method. Characterization is posed as a Bayesian parameter estimation problem in Biot's model given pressure data collected at the receiver. As a first step we present numerical results in 2D for signal recovery. It is shown that as point estimators, the Conditional Mean outperforms the classical PDE-constrained minimization solution.},
address = {Ithaca},
author = {Moreles, Miguel and Neria, Jose and Pe{\~{n}}a, Joaquin},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Moreles, Neria, Pe{\~{n}}a - 2018 - Biot's parameters estimation in ultrasound propagation through cancellous bone.pdf:pdf},
journal = {arXiv.org},
keywords = {Bayesian Analysis,Finite Volume Method,Mathematical Models,Parameter Estimation,Porous Media,Signal Reconstruction},
publisher = {Cornell University Library, arXiv.org},
title = {{Biot's parameters estimation in ultrasound propagation through cancellous bone}},
url = {http://search.proquest.com/docview/2071303209/},
year = {2018}
}
@misc{Morozov2018a,
author = {Morozov, Igor},
booktitle = {[Class handout]},
doi = {10.1016/S0074-6142(05)80003-8},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Igor's Lectures 5 - Elasticity.pdf:pdf},
issn = {00746142},
title = {{Seismology and Ground Penetrating Radar methods: Elasticity and Seismic Waves}},
url = {http://seisweb.usask.ca/classes/GEOL335/2019/WWW/index.html},
year = {2018}
}
@misc{Morozov,
author = {Morozov, Igor},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Morozov - Unknown - Suggestions for Modeling of Elastic Potential.doc:doc},
title = {{Suggestions for Modeling of Elastic Potential}}
}
@article{Morozov2016b,
abstract = {Sedimentary rocks possess complex microstructures and re-quire simplified descriptions in terms of averaged, or effective mechanical properties. Most conventional approaches to effec-tive media use the concept of viscoelastic moduli to describe the frequency-dependent wave velocities and attenuation. However, for rock containing pore fluids, a single pair of bulk and shear moduli does not account for slow P-and S-waves and for re-flections and conversions in heterogeneous media. To overcome these limitations, we use the general linear solid (GLS) theoreti-cal framework to derive multiphase models of effective media. Two types of models are considered. First, for sandstone con-taining thin layers saturated with brine and gas, two-phase effective-medium relations are derived in a (relatively) closed form for the density and elasticity, and the parameters of internal friction are inferred by fitting the dispersion spectra of both fast and slow P-waves. In the second application, we consider the generalized standard linear solid (GSLS) medium, which is broadly used in numerical simulations of seismic wavefields. The GLS point of view suggests that (petro)physical signifi-cance should always be sought for the mathematical variables usually assumed in GSLS models. Inertial effects and inter-actions between internal variables cause additional wave modes in a GSLS medium. Contrary to what is often thought, with in-ertial effects and fuller interactions between the internal varia-bles, near-zero or negative velocity dispersion can occur in a medium with band-limited attenuation.},
author = {Morozov, Igor B. and Deng, Wubing},
doi = {10.1190/geo2014-0404.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Morozov, Deng - 2016 - Macroscopic framework for viscoelasticity, poroelasticity, and wave-induced fluid flows — Part 2 Effective media.pdf:pdf},
issn = {0016-8033},
journal = {Society of Exploration Geophysicists},
number = {4},
pages = {D405--D417},
title = {{Macroscopic framework for viscoelasticity, poroelasticity, and wave-induced fluid flows — Part 2: Effective media}},
url = {http://library.seg.org/doi/10.1190/geo2014-0404.1},
volume = {81},
year = {2016}
}
@article{Morozov2018,
abstract = {To quantitatively interpret the results of a subresonant laboratory or numerical experiment with wet porous rock, it is insufficient to merely state the measured frequency-dependent viscoelastic moduli and Q-factors. The measured properties are apparent, i.e., dependent on the experimental setup such as the length of the sample and boundary conditions for pore flows. To reveal the true properties of the material, all experimental factors need to be accurately modeled and corrected for. Here, such correction is performed by developing an effective Biot's model for the material and using it to predict driven oscillations of a cylindrical rock specimen. The model explicitly describes elastic and inertial effects, Biot's flows, and viscous internal friction within the solid frame and pore fluid, and it approximates squirt and other wave-induced flow effects. The model predicts the dynamic permeability of the specimen, fast (traveling) and slow (diffusive) P- and axial-deformation waves, and it allows accurate modeling of any other ultrasonic or seismic-frequency experiments with the same rock. To illustrate the approach, attenuation and dispersion data from two laboratory and numerical experiments with sandstones are inverted for effective, frequency-dependent moduli of drained sandstone. Several observations from this inversion may be useful for interpreting experiments with porous rock. First, Young's moduli measured in a short rock cylinder differ from those in a traveling wave within an infinite rod. In particular, for the modeled 8 cm long rock specimen, modulus dispersion and attenuation (1∕Q) are approximately 10 times greater than for a traveling wave. Second, P-wave moduli cannot be derived from the measured Young's and shear moduli by using conventional (visco)elastic relations. Third, because of wavelengths comparable with the size of the specimen, slow waves contribute to its quasistatic and low-frequency behaviors. Similar observations should also apply to seismic waves traveling through approximately 10 cm layering in the field.},
author = {Morozov, Igor B. and {Wubing Deng}},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Igor B. Morozov, Wubing Deng - 2018 - Inversion for Biot-consistent material properties in subresonant oscillation experiments with flui.pdf:pdf},
journal = {Society of Exploration Geophysicists},
number = {2},
pages = {MR67--MR79},
title = {{Inversion for Biot-consistent material properties in subresonant oscillation experiments with fluid-saturated porous rock}},
url = {https://library.seg.org/doi/10.1190/geo2017-0511.1},
volume = {83},
year = {2018}
}
@article{Murphy1986,
abstract = {Partial fluid saturation affects absorption and dispersion in sandstones. The proposed theoretical model describes acoustic relaxation due to local fluid flow. Previously proposed models of local flow were based on microgeometries not representative of sedimentary rocks; they were unable to describe the behavior of partially saturated sandstones. The new model is based upon observed microstructures in sandstones. A fraction of the grain contacts in sandstones are permeated by sheet‐like gaps. The incomplete solid‐solid contact allows an interconnected fluid film to exist between the grain surfaces. The model consists of a narrow gap connected to a finite annular pore. An acoustic stress wave drives the film out of the narrow contact region and into the adjacent pore. The viscous flow results in a dissipation of energy. The model predicts the real and imaginary parts of the complex frame moduli as a function of frequency and fluid saturation. The predictions agree well with experimental results.},
author = {Murphy, William F. and Winkler, Kenneth W. and Kleinberg, Robert L.},
doi = {10.1029/GL011i009p00805},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Murphy, Winkler, Kleinberg - 1986 - Acoustic relaxation in sedimentary rocks Dependence on grain contacts and fluid saturation.pdf:pdf},
isbn = {757},
issn = {19448007},
journal = {Geophysics},
number = {6},
pages = {757--766},
title = {{Acoustic relaxation in sedimentary rocks: Dependence on grain contacts and fluid saturation}},
volume = {51},
year = {1986}
}
@article{PawelDobak2015,
author = {{Pawel Dobak} and {Jan GASZY{\~{N}}SKI}},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Pawel Dobak, Jan GASZY{\~{N}}SKI - 2015 - Evaluation of soil permeability from consolidation analysis based on Terzaghi's and Biot's theories.pdf:pdf},
journal = {Geological Quarterly},
number = {2},
pages = {373--381},
title = {{Evaluation of soil permeability from consolidation analysis based on Terzaghi's and Biot's theories}},
volume = {59},
year = {2015}
}
@article{Physics1976,
author = {Physics, Space},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Physics - 1976 - Diffusion Solutions for Fluid-Saturated Elastic Porous M Constituents.pdf:pdf},
number = {2},
pages = {227--241},
title = {{Diffusion Solutions for Fluid-Saturated Elastic Porous M Constituents}},
volume = {14},
year = {1976}
}
@techreport{Poullain2012,
author = {Poullain, John},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Poullain - 2012 - PDHonline Course C393 (1 PDH).pdf:pdf},
pages = {13},
title = {{PDHonline Course C393 (1 PDH)}},
url = {www.PDHcenter.com https://pdhonline.com/courses/m246/m246content.pdf},
year = {2012}
}
@article{Pratt1926,
author = {Pratt, Wallace E and Johnson, Douglas W},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Pratt, Johnson - 1926 - Local Subsidence of the Goose Creek Oil.pdf:pdf},
journal = {The Journal of Geology},
number = {7},
pages = {577--590},
title = {{Local Subsidence of the Goose Creek Oil}},
url = {https://www-jstor-org.cyber.usask.ca/stable/pdf/30056838.pdf?refreqid=excelsior{\%}3A34ba33172609c850025608469865096a},
volume = {34},
year = {1926}
}
@article{Quintal2016,
abstract = {The deformations caused by an acoustic wavefield in sub-surface rock can induce fluid flow within hydraulically in-terconnected mesoscopic fractures, from one fracture into the other. The viscous friction associated with this squirt-type fluid flow parallel to the fracture walls results in energy dissipation and velocity dispersion. We have developed a quasi-static hydromechanical approach that is suitable for simulating squirt-type flow in the mesoscopic scale range and microscopic squirt flow. Our approach couples Nav-ier-Stokes equation with Hooke's law to describe the lam-inar flow of a viscous compressible fluid in conduits embedded in an elastic solid background. Results from the proposed method were compared with those obtained with Biot's equations for a model containing interconnected mesoscopic fractures embedded in a background of very low porosity and permeability. Despite significant differences in the flow and dissipation spatial patterns, we have observed an essentially perfect agreement of the attenuation and modulus dispersion characteristics predicted by the two ap-proaches. The difference in the flow and dissipation spatial patterns are associated with the " upscaling " inherent to Bi-ot's equations and, correspondingly, with differing boundary conditions at the fracture walls. Our results demonstrate that the proposed hydromechanical approach can provide addi-tional insights on the physics of squirt-type flow in the mesoscopic and microscopic scale ranges.},
author = {Quintal, Beatriz and Rubino, J. Germ{\'{a}}n and Caspari, Eva and Holliger, Klaus},
doi = {10.1190/geo2015-0383.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Quintal et al. - 2016 - A simple hydromechanical approach for simulating squirt-type flow.pdf:pdf},
issn = {0016-8033},
journal = {Geophysics},
keywords = {Rock physics,squirt flow,poroelasticity,attenuatio},
number = {4},
pages = {D335--D344},
title = {{A simple hydromechanical approach for simulating squirt-type flow}},
url = {http://library.seg.org/doi/10.1190/geo2015-0383.1},
volume = {81},
year = {2016}
}
@book{Ran2014,
abstract = {Volcanic gas reservoirs are the new natural gas frontier. Once thought too complex, too harsh on the drilling bit, and too difficult to characterize, reservoir engineers and petroleum geologists alike now manage more advanced seismic and logging tools, making these "impossible" field developments possible. Bridging meaningful information about these complicated provinces and linking various unconventional methods and techniques, Volcanic Gas Reservoir Characterization: Describes a set of leading-edge integrated volcanic gas reservoir characterization techniques, helping to ensure the effective development of the field Reveals the grade and relationship of volcanic stratigraphic sequence Presents field identification and prediction methods, and interpretation technology of reservoir parameters, relating these to similar complex fields such as shale These innovative approaches and creative methods have been successfully applied to actual development of volcanic gas reservoirs. By sharing...},
author = {Ran, Q and Wang, Y and Sun, Y and Yan, L and Tong, M},
isbn = {9780124171312},
issn = {97801241},
keywords = {Volcanic gas reservoirs. Volcanic gas reservoirs –},
pages = {1--583},
publisher = {Elsevier Inc.},
title = {{Volcanic Gas Reservoir Characterization}},
year = {2014}
}
@article{RezaSaberi2018a,
author = {{Reza Saberi}, M and Jenson, F},
issn = {15274063},
journal = {Hart's E and P},
language = {English},
number = {August},
publisher = {Hart Publications Inc.},
title = {{Determining dynamic biot's coefficient for unconventionals}},
year = {2018}
}
@article{Rani2007,
abstract = {The Biot linearized theory of fluid saturated porous materials is used to study the plane strain deformation of a two-phase medium consisting of a homogeneous, isotropic, poroelastic half-space in welded contact with a homogeneous, isotropic, perfectly elastic half-space caused by a two-dimensional source in the elastic half-space. The integral expressions for the displacements and stresses in the two half-spaces in welded contact are obtained from the corresponding expressions for an unbounded elastic medium by applying suitable boundary conditions at the interface. The case of a long dip-slip fault is discussed in detail. The integrals for this source are solved analytically for two limiting cases: (i) undrained conditions in the high frequency limit, and (ii) steady state drained conditions as the frequency approaches zero. It has been verified that the solution for the drained case ($\omega$ → 0) coincides with the known elastic solution. The drained and undrained displacements and stresses are compared graphically. Diffusion of the pore pressure with time is also studied.},
author = {Rani, Sunita and Singh, Sarva Jit},
doi = {10.1007/s12040-007-0010-x},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Rani, Singh - 2007 - Quasi-static deformation due to two-dimensional seismic sources embedded in an elastic half-space in welded contact.pdf:pdf},
journal = {Journal of Earth System Science},
keywords = {Dip-slip fault,dip-slip fault,plane strain,poroelastic,seismic source,welded half-spaces},
mendeley-tags = {Dip-slip fault,plane strain,poroelastic,seismic source,welded half-spaces},
number = {2},
pages = {99--111},
title = {{Quasi-static deformation due to two-dimensional seismic sources embedded in an elastic half-space in welded contact with a poroelastic half-space}},
url = {https://link-springer-com.cyber.usask.ca/content/pdf/10.1007{\%}2Fs12040-007-0010-x.pdf},
volume = {116},
year = {2007}
}
@article{RezaSaberi2018,
author = {{Reza Saberi}, M and Jenson, F},
journal = {Hart's E and P},
language = {English},
number = {August},
publisher = {Hart Publications Inc.},
title = {{Determining dynamic biot's coefficient for unconventionals}},
url = {https://www.hartenergy.com/exclusives/determining-dynamic-biots-coefficient-unconventionals-177102},
year = {2018}
}
@article{Rice1976,
author = {Rice, James R. and Cleary, Michael P.},
doi = {10.1029/RG014i002p00227},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Rice, Cleary - 1976 - Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents.pdf:pdf},
journal = {Reviews of Geophysics},
month = {may},
number = {2},
pages = {227},
publisher = {John Wiley {\&} Sons, Ltd},
title = {{Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents}},
url = {http://doi.wiley.com/10.1029/RG014i002p00227},
volume = {14},
year = {1976}
}
@article{Roeloffs1988,
abstract = {The stress and pore pressure changes produced by a steady periodic variation of water level on the surface of a uniform porous elastic half‐space are evaluated using the fully coupled (Biot) equations of elastic deformation and pore fluid flow. Diverse choices of material properties all give a coupled stress field differing from the elastic stress field by at most 0.035 , where is the water pressure at the bottom of the reservoir. Peak coupled pore pressure change can lag peak water level in the depth range 0 {\textless} ($\omega$/2) {\textless} $\pi$, where $\omega$ is frequency of the cyclic change in water level, is diffusivity, and is depth. The maximum lag increases as decreases, where is the ratio of pore pressure increase to mean compressive stress increase under undrained conditions. Directly beneath the reservoir, for example, peak pore pressure in an annual cycle can lag peak water level by at most 10 days if = 0.80, but can lag by up to 122 days if = 0.11. When cyclic water level changes are superimposed on the steady state reservoir level, the time during the cycle at which a fault is most destabilized depends on whether the weight of the reservoir stabilizes or destabilizes the fault, which, in turn, depends on its orientation and location relative to the reservoir. and also influence the timing of the greatest destabilization. If and are low, maximum destabilization at low water level is possible for faults that are stabilized by the weight of the reservoir; this mechanism may have operated at Lake Mead. The analysis suggests that induced seismic events should be separated into groups having a common focal mechanism and occurring in similar locations relative to the reservoir before studying the time at which the events occur relative to the water level. The fully coupled solution is compared with an uncoupled solution, with a solution that is coupled but which assumes incompressible solid and fluid constituents (consolidation) and with a decoupled solution in which the difference between the pore pressure field and times the elastic mean compressive stress obeys a homogeneous diffusion equation. The uncoupled and consolidation solutions respectively underestimate and overestimate pore pressure during short‐term reservoir level fluctuations as well as at times short compared to that required to achieve steady state. In contrast, the decoupled solution agrees closely with the fully coupled solution for the problem studied here.},
author = {Roeloffs, Evelyn A.},
issn = {0148-0227},
journal = {Journal of Geophysical Research: Solid Earth},
keywords = {Arizona,Asia,Case Studies,Clark County Nevada,Commonwealth Of Independent States,Earthquakes,Engineering Geology,Faults,Impoundment,Induced Earthquakes,Lake Mead,Levels,Mohave County Arizona,Nevada,Northwestern Arizona,Nurek Tajikistan,Periodicity,Pore Pressure,Pressure,Reservoirs,Seismology,Southeastern Nevada,Stress,Tajikistan,Theoretical Studies,United States,Ussr},
number = {B3},
pages = {2107--2124},
title = {{Fault stability changes induced beneath a reservoir with cyclic variations in water level}},
volume = {93},
year = {1988}
}
@article{Rudnicki2001,
abstract = {This review article discusses the applications of poroelasticity to the mechanics of faulting and failure in geomaterials. Values of material parameters inferred from laboratory and field studies are summarized. Attention is focused on solutions for shear dislocations and shear cracks. A common feature is that undrained response, invoked by rapid slip or deformation, is stiffer than drained response, which occurs for slower slip or deformation. The time and spatial variation of the stress and pore pressure is different for slip on permeable and impermeable planes. These solutions are applied to interpretation of water well level changes due to slip, earthquake precursory processes, and stabilization of spreading slip zones. Inclusion models for reservoirs, aquifers, and other inhomogeneities are formulated and the results are applied to stress and strain changes caused by fluid mass injection or withdrawal. This article has 120 references.},
author = {Rudnicki, J W},
doi = {10.1115/1.1410935},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Rudnicki - 2001 - Coupled deformation-diffusion effects in the mechanics of faulting and failure of geomaterials.pdf:pdf},
journal = {Applied Mechanics Reviews},
number = {6},
pages = {483--502},
title = {{Coupled deformation-diffusion effects in the mechanics of faulting and failure of geomaterials}},
url = {http://www.civil.northwestern.edu/people/rudnicki/PDFPub/01{\_}AMR{\_}Coupled{\_}Def{\_}Dif.pdf},
volume = {54},
year = {2001}
}
@techreport{Rudnicki1988,
abstract = {Pore pressure changes due to a ramp introduction of slip on permeable and impermeable faults in a fluid-saturated rock mass are calculated for the purpose of evaluating water well level fluctuations. The calculations demonstrate the importance of coupling between deformation and fluid diffusion at observation points less than 5(4Cto) •/2, where c is the diffusivity and t o is the rise time. The decay of pore pressure in the results here is due entirely to fluid mass diffusion. An approach that neglects diffusion and assumes that the pore pressure is proportional to the mean normal stress would predict a ramp pore pressure response. At distances greater than 5(4Cto) •/2 the pore pressure decays so slowly that the neglect of diffusion may be appropriate. For both permeable and impermeable faults, the pore pressure decays more rapidly for shorter slip zone lengths and longer rise times. However, the pore pressure change calculated for the impermeable fault is larger, particularly for observation points near the fault, and decays less rapidly than for the permeable fault. These differences suggest that fault permeability can be a significant factor in the response of water wells near faults and care should be used in inferring details of the slip distribution if hydrologic conditions are not known. These results are applied to a water well level change observed by Lippincott et al. A satisfactory fit to the data is obtained by uniform slip over a fault length of about 1.5 km and a rise time of 8 hours. Although the slip magnitude is not well constrained by the fit, the range of possible values includes the 0.5 to 1.0 cm inferred by Lippincott et al. using a different approach.},
author = {Rudnicki, J W and Hsu, Tze-Chi},
booktitle = {JOURNAL OF GEOPHYSICAL RESEARCH},
doi = {10.1029/JB093iB04p03275},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Rudnicki, Hsu - 1988 - Pore Pressure Changes Induced by Slip on Permeable and Impermeable Faults.pdf:pdf},
keywords = {doi:10.1029/JB093iB04p03275,http://dx.doi.org/10.1029/JB093iB04p03275},
number = {B4},
pages = {3275--3285},
title = {{Pore Pressure Changes Induced by Slip on Permeable and Impermeable Faults}},
url = {https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1029/JB093iB04p03275},
volume = {93},
year = {1988}
}
@article{Sadeq2015,
abstract = {The 60{\%} of the world's oil and 40{\%} of the world's gas reserves occurs in carbonate reservoirs. Around 70{\%} of oil and 90{\%} of gas reserves held within the carbonate reservoirs in the Middle East for example. Carbonates can exhibit highly varying properties (e.g., porosity, permeability, flow mechanisms) within small sections of the reservoir, making them difficult to characterize. A focused approach is needed to better understand the heterogeneous nature of the rock containing the fluids and the flow properties within the porous and often fractured formations. This involves detailed understanding of the fluids saturation, pore-size distribution, permeability, rock texture, reservoir rock type, and natural fracture systems at different scales. Deposition, sedimentation, diagenesis and other geological features of carbonate rocks has been studied leading their classification into: mudstone, wackestone, packstone, grainstone, boundstone and crystalline carbonate rocks. Various features such as fractures and vugs, which influence its petrophysical behavior, characterize all these. The study of the main features of carbonate reservoir using Archie's cementation exponent “m” is an acceptable method of verifying the geological features in the reservoir, which actually contribute to rock fluid properties and other production attributes of the reservoir. This proved for some reservoir using well log values for KF2 oil field in Iraq. The dominating geological features of the field confirmed from a graphical representation of the different data from field reservoir. The reservoirs used as case studies in the research classified into different carbonate rocks using a graphical plot of their permeability against porosity values. This result gives an evidence of the textural and grain size characteristics as well as the effective pore sizes of the reservoir. This method of analysis makes it easier to evaluate the post diagenetic strength of the reservoir rocks and fluid hosting capability in assessment of recovering.},
author = {Sadeq, Qays Mohammed and {Wan Yusoff}, Wan Ismail Bin},
doi = {10.4172/2155-9546.1000371},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Unknown - 2015 - (No Title).pdf:pdf},
journal = {Journal of Aquaculture},
keywords = {Carbonate reservoir,Diagenesis,Fractures,Petrophysical,Porosity and permeability,Vugs},
mendeley-tags = {Carbonate reservoir,Diagenesis,Fractures,Petrophysical,Porosity and permeability,Vugs},
number = {10},
pages = {1--5},
title = {{Porosity and Permeability Analysis from Well Logs and Core in Fracture, Vugy and Intercrystalline Carbonate Reservoirs}},
url = {https://www.longdom.org/open-access/porosity-and-permeability-analysis-from-well-logs-and-core-in-fracturevugy-and-intercrystalline-carbonate-reservoirs-2155-9546-1000371.pdf},
volume = {6},
year = {2015}
}
@article{Singh2007,
abstract = {The fully coupled Biot quasi-static theory of fluid-infiltrated porous materials is used to study the two-dimensional plane strain deformation of a multilayered poroelastic half-space by internal sources. Pure compliance formulation, in which the stresses and the pore pressure are taken as the basic state variables, is used. Displacements are then obtained by integrating the coupled constitutive relations and the fluid flux from the Darcy law. The problem is formulated in terms of the propagator matrices. Simplified explicit expressions for the elements of the 6 {\textperiodcentered} 6 propagator matrix are obtained. The propa-gator matrix is also used to obtain explicit expressions for the surface displacements and fluid flow due to a line force and a fluid injection source buried in a poroelastic half-space.},
author = {Singh, S J and Rani, S},
doi = {10.1007/s00707-007-0452-x},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Singh, Delhi, Rani - 2007 - Quasi-static deformation of a multilayered poroelastic half-space by two-dimensional buried sources.pdf:pdf},
journal = {Acta Mechanica},
keywords = {airy stress function,line source,pore pressure,poroelastic medium,propagaor matrix},
mendeley-tags = {airy stress function,line source,pore pressure,poroelastic medium,propagaor matrix},
number = {3-4},
pages = {161--179},
title = {{Quasi-static deformation of a multilayered poroelastic half-space by two-dimensional buried sources}},
url = {https://link-springer-com.cyber.usask.ca/content/pdf/10.1007{\%}2Fs00707-007-0452-x.pdf},
volume = {191},
year = {2007}
}
@article{Solberg1977,
abstract = {Laboratory hydrofracture experiments were performed on triaxially stressed specimens of oil shale and low-permeability granite. The results show that either shear or tension fractures could develop depending on the level of differential stress, even in specimens containing preexisting fractures. With 1 kb of confining pressure and differential stress greater than 2 kb, hydraulic fluid diffusion into the specimens reduced the effective confining pressure until failure occurred by shear fracture. Below 2 kb of differential stress, tension fractures occurred. These results suggest that hydraulic fracturing in regions of significant tectonic stress may produce shear rather than tension fractures. In this case in situ stress determinations based on presumed tension fractures would lead to erroneous results.},
author = {Solberg, P and Lockner, D and Byerlee, J},
doi = {https://doi.org/10.1007/BF01637103},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Solberg, Lockner, Byerlee - 1977 - Shear and Tension Hydraulic Fractures in Low Permeability Rocks.pdf:pdf},
journal = {Pure and Applied Geophysics},
keywords = {Hydroffacture technique,Hydrofracture technique,Stress hydrofracture},
mendeley-tags = {Hydrofracture technique,Stress hydrofracture},
number = {1-2},
pages = {191--198},
title = {{Shear and Tension Hydraulic Fractures in Low Permeability Rocks}},
url = {https://link.springer.com/content/pdf/10.1007{\%}2FBF01637103.pdf},
volume = {115},
year = {1977}
}
@techreport{Tang,
abstract = {This paper describes a fast algorithm for estimating formation permeability from Stone-ley wave logs. The procedure uses a simplified Biot-Rosenbaum model formulation. The input to the inversion is the Stoneley wave spectral amplitudes at each depth and receiver , the borehole fluid properties (velocity and density), the borehole caliper log, the formation density and porosity (from log data), and the compressional and shear velocities for the interval of interest. The model uses the borehole caliper and elastic properties to compute the Stoneley wave excitation (that is, predicted amplitude without permeability effects) as a function of frequency, and the porosity and permeability to compute the fluid flow amplitude reduction. This method also uses a reference depth of known permeability and compares amplitude variations at other depths relative to the reference depth. The permeability value obtained from the inversion represents the best fit over all receivers and all relevant frequencies. A processing example is shown to demonstrate the ability of this technique to extract formation permeability from Stoneley wave logs.},
author = {Tang, X M and Cheng, C H},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Tang, Cheng - 1996 - FAST INVERSION OF FORMATION PERMEABILITY FROM STONELEY WAVE LOGS USING A SIMPLIFIED BlOT-ROSENBAUM MODEL.pdf:pdf},
title = {{Fast Inversion of Formation Permeability from Stoneley Wave Logs Using A Simplified Blot-Rosenbaum Model}},
url = {https://core.ac.uk/download/pdf/9592086.pdf},
year = {1996}
}
@article{Tang2011,
abstract = {Rocks in earth's crust usually contain both pores and cracks. This phenomenon significantly affects the propagation of elastic waves in earth. This study describes a unified elastic wave theory for porous rock media containing cracks. The new theory extends the classic Biot's poroelastic wave theory to include the effects of cracks. The effect of cracks on rock's elastic property is introduced using a crack-dependent dry bulk modulus. Another important frequency-dependent effect is the "squirt flow" phenomenon in the cracked porous rock. The analytical results of the new theory demonstrate not only reduction of elastic moduli due to cracks but also significant elastic wave attenuation and dispersion due to squirt flow. The theory shows that the effects of cracks are controlled by two most important parameters of a cracked solid: crack density and aspect ratio. An appealing feature of the new theory is its maintenance of the main characteristics of Biot's theory, predicting the characteristics of Biot's slow wave and the effects of permeability on elastic wave propagation. As an application example, the theory correctly simulates the change of elastic wave velocity with gas saturation in a field data set. Compared to Biot theory, the new theory has a broader application scope in the measurement of rock properties of earth's shallow crust using seismic/acoustic waves. poroelasticity, wave propagation, cracked medium, rockphysics Citation: Tang X M. A unified theory for elastic wave propagation through porous media containing cracks-An extension of Biot's poroelastic wave theory.},
author = {Tang, Xiaoming},
doi = {10.1007/s11430-011-4245-7},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Tang - 2011 - SCIENCE CHINA A unified theory for elastic wave propagation through porous media containing cracks-An extension of Biot's.pdf:pdf},
journal = {Sci China Earth Sci},
number = {9},
pages = {1441--1452},
title = {{SCIENCE CHINA A unified theory for elastic wave propagation through porous media containing cracks-An extension of Biot's poroelastic wave theory}},
url = {www.springerlink.com},
volume = {54},
year = {2011}
}
@article{Terzaghi1923,
abstract = {The differential equation by Terzaghi and Fr?hlich, better known as Terzaghi's one-dimensional consolidation equation, simulates the visco-elastic behaviour of soils depending on the loads applied as it happens, for example, when foundations are laid and start carrying the weight of the structure. Its application is traditionally based on Taylor's solution that approximates experimental results by introducing non-dimensional variables that, however, contradict the actual behaviour of soils. The proposal of this research is an exact solution consisting in a non-linear equation that can be considered correct as it meets both mathematical and experimental requirements. The solution proposed is extended to include differential equations relating to two/three dimensional consolidation by adopting a transversally isotropic model more consistent with the inner structure of soils.},
author = {Terzaghi, K.},
doi = {10.4236/am.2013.44099},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Terzaghi - 1923 - Die Berechnung der Durchlassigkeitsziffer des Tones aus Dem Verlauf der Hidrodynamichen Span-nungserscheinungen Akadem.pdf:pdf},
issn = {2152-7385},
journal = {Mathematish-Naturwissen-Schaftiliche Klasse},
month = {apr},
number = {132},
pages = {105--124},
publisher = {Scientific Research Publishing},
title = {{Die Berechnung der Durchlassigkeitsziffer des Tones aus Dem Verlauf der Hidrodynamichen Span-nungserscheinungen Akademie der Wissenschaften in Wien}},
url = {http://www.scirp.org/journal/doi.aspx?DOI=10.4236/am.2013.44099},
volume = {2a},
year = {1923}
}
@book{Turcotte2002,
author = {Turcotte, Donald Lawson and Schubert, Gerald},
edition = {2},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Turcotte, Schubert - 2002 - Geodynamics.pdf:pdf},
isbn = {ISBN 0 521 66624 4},
pages = {456},
publisher = {Cambridge University Press},
title = {{Geodynamics}},
year = {2002}
}
@article{Urken1995,
abstract = {The deformation mechanics of multi-walled carbon nanotubes (MWCNT) and vertically aligned carbon nanotube (VACNT) arrays were studied using analytical and numerical methods. An equivalent orthotropic representation (EOR) of the mechanical properties of MWCNTs was developed to model the anisotropic mechanical behavior of these tubes during various types of deformation. Analytical models of the micro-mechanical contact and deformation during nano- indentation and scratching of VACNTs were developed. The EOR model was developed based on finite element (FE) nested shell structural representation of MWCNTs. The EOR was used together with the FE method to simulate bending, axial compression and lateral compression. Results were compared with those of the nested shell model for 4-, 8-, 9-, 14-, and 19-walled carbon nanotubes. The comparison of axial and lateral compression results indicated that although MWCNTs have high strength and stiffness in the axial direction, they can exhibit significant radial deformability owing to their relatively compliant interwall normal and shear behaviors. The EOR results provide an improvement in computational efficiency as well as a successful replication of the overall deformation behavior including the initial linear elastic behavior and the onset of buckling of MWCNTs and the post-buckling compliance. The post- buckling progression in wavelength (a doubling of wavelength as deformation progresses) was not captured by the EOR model. Analytical predictions of the force-penetration depth during nano-indentation with a three-sided pyramidal shaped indentor tip were compared with results from macro-scale experiments, FE simulations and nano-indentation of VACNT forests. These comparisons indicated that the proposed nano-indentation micro-mechanical contact model captures effectively both the nonlinear deformation mechanics and buckling effects of MWCNTs. The effective bending modulus of two VACNT forest samples was found to be 1.10 TPa and 1.08 TPa. Similarly, results from the micro-mechanical contact model for nano-scratching were compared with the results from macro-scale experiments with a sharp tip and FE simulations with both sharp and Bekovich tips. The comparison of these results indicated that the proposed contact model is able to capture remarkably well the variation in vertical force with lateral indentor tip displacement. The proposed FE and analytical models offer computationally efficient methods for simulating large and complex systems of MWCNTs with a small penalty in precision.},
author = {Urken, Mark L.},
doi = {10.1001/archotol.1995.01890060005001},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Urken - 1995 - The Restoration or Preservation of Sensation in the Oral Cavity Following Ablative Surgery.pdf:pdf},
isbn = {0021-8979},
issn = {1538361X},
journal = {Archives of Otolaryngology—Head and Neck Surgery},
number = {6},
pages = {607--612},
pmid = {7772309},
title = {{The Restoration or Preservation of Sensation in the Oral Cavity Following Ablative Surgery}},
volume = {121},
year = {1995}
}
@article{Vardoulakis1986,
abstract = {A numericl method for solving consolidation problems of layered soils is developed. Starting from the governing differential equations for the coupled poro‐elastic medium, the governing partial differential equations are reduced to ordinary differential equations by means of the appropriate displacement functions and Laplace‐Fourier transformation. Once the fundamental solution in the transformed domain has been found, the solution in the physical domain is obtained by numerically inverting the transformations. A series of soil consolidation problems have been solved and validated against existing solutions in order to compare the feasibility and the accuracy of the present technique.},
address = {Sussex},
author = {Vardoulakis, I and Harnpattanapanich, T},
issn = {0363-9061},
journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
language = {eng},
number = {4},
pages = {347--365},
publisher = {John Wiley {\&} Sons, Ltd},
title = {{Numerical Laplace‐Fourier transform inversion technique for layered‐soil consolidation problems: I. Fundamental solutions and validation}},
volume = {10},
year = {1986}
}
@incollection{Verruijt1969,
address = {New York},
author = {Verruijt, Arnold},
booktitle = {Flow through Porous Media},
editor = {DeWiest, R . J . M},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Verruijt - 1969 - Elastic Storage of Aquifers.pdf:pdf},
number = {January 1969},
pages = {331--376},
publisher = {Academic Press},
title = {{Elastic Storage of Aquifers}},
year = {1969}
}
@book{Wang2000,
address = {Princeton, NJ},
author = {Wang, Herbert F},
isbn = {0-691-03746-9},
keywords = {Algorithms,Anisotropic Materials,Anisotropy,Boundary Conditions,Compressibility,Diffusivity,Education,Elasticity,Engineering Geology,Erodibility,Finite Element Analysis,Fluid Dynamics,Graduate-Level Education,Green-Ampt Model,Hydraulic Conductivity,Hydraulics,Hydrogeology,Hydrology,Kinematics,Mathematical Geology,Mathematical Models,Mathematical Transformations,Mechanics,Permeability,Physical Properties,Pore Pressure,Poroelasticity,Porous Materials,Reservoirs,Sedimentation,Sediments,Statistical Analysis,Storage Coefficient,Stress,Textbooks},
publisher = {Princeton University Press},
series = {Princeton series in geophysics},
title = {{Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology}},
year = {2000}
}
@article{Wang2003,
abstract = {In this paper, the non-axisymmetric Biot consolidation problem for multilayered porous media is studied. Taking stresses, pore pressure and displacements at layer interfaces as basic unknown functions, two sets of partial differential equations, which are independent each other, are formulated. Using Fourier expansion, Laplace transforms and Hankel transforms with respect to the circumferential, time and radial coordinates, respectively, the partial differential equations presented are reduced to the ordinary differential equations. Transfer matrices describing the transfer relation between the state vectors for a finite layer are derived explicitly in the transform space. Using the transfer matrices presented, three cases are studied for the lower surface: (1) permeable rough rigid base, (2) impermeable rough rigid base, and (3) poroelastic half space. The explicit solution in the transform space is presented. Considering the continuity condition at layer interfaces, the solutions of the non-axisymmetric Biot consolidation problems for multilayered semi-infinite porous media are presented in the integral form. The time histories of displacements, stresses and pore pressure are obtained by solving a linear equation system for discrete values of Laplace-Hankel transform inversions.},
author = {Wang, Jianguo and Fang, Shisheng},
doi = {10.1016/S0020-7225(03)00062-4},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Wang, Fang - Unknown - State space solution of non-axisymmetric Biot consolidation problem for multilayered porous media.pdf:pdf},
journal = {International Journal of Engineering Science},
keywords = {Biot{\~{O}}s consolidation problems,Multilayered poroelastic media,Non-axisymmety,State space method},
number = {15},
pages = {1799--1813},
title = {{State Space Solution of Non-Axisymmetric Biot Consolidation Problem for Multilayered Porous Media}},
url = {www.elsevier.com/locate/ijengsci},
volume = {41},
year = {2003}
}
@article{Williams2002,
abstract = {During the sediment acoustics experiment in 1999 (SAX99), several researchers measured sound speed and attenuation. Together, the measurements span the frequency range of about 125 Hz–400 kHz. The data are unique both for the frequency range spanned at a common location, and for the extensive environmental characterization that was carried out as part of SAX99. Environmental measurements were sufficient to determine or bound the values of almost all the sediment and pore water physical property input parameters of the Biot poroelastic model for sediment. However, the measurement uncertainties for some of the parameters result in significant uncertainties for Biotmodel predictions. Here, measured sound-speed and attenuation results are compared to the frequency dependence predicted by Biot theory and a simpler “effective density” fluid model derived from Biot theory. Model/data comparisons are shown where the
uncertainty in Biot predictions due to the measurement uncertainties for values of each input parameter are quantified. A final set of parameter values, for use in other modeling applications (e.g., in modeling backscattering (Williams et al., this issue) are given, that optimize the fit of the Biot and effective density fluid models to the sound-speed dispersion and attenuation measured during SAX99. The results indicate that the variation of sound speed with
frequency is fairly well modeled by Biot theory but the variation of attenuation with frequency deviates from Biot theory predictions for homogeneous sediment as frequency increases. This deviation may be due to scattering from volume heterogeneity. Another possibility for this deviation is shearing at grain contacts hypothesized by Buckingham; comparisons are also made with this model.},
author = {Williams, Kevin L. and Jackson, Darrell R. and Thorsos, Eric I. and Tang, Dajun and Schock, Steven G.},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Williams et al. - 2002 - Comparison of Sound Speed and Attenuation Measured in a Sandy Sediment to Predictions Based on the Biot Theory.pdf:pdf},
journal = {IEEE JOURNAL OF OCEANIC ENGINEERING},
number = {3},
pages = {413--428},
title = {{Comparison of Sound Speed and Attenuation Measured in a Sandy Sediment to Predictions Based on the Biot Theory of Porous Media}},
url = {https://ieeexplore-ieee-org.cyber.usask.ca/stamp/stamp.jsp?tp={\&}arnumber=1040928},
volume = {27},
year = {2002}
}
@article{Yamakawa2009,
author = {Yamakawa, Soji and Shimada, Kenji},
doi = {10.1007/978-3-642-04319-2_2},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Yamakawa, Shimada - 2009 - Removing self intersections of a triangular mesh by edge swapping, edge hammering, and face lifting.pdf:pdf},
isbn = {9783642043185},
journal = {Proceedings of the 18th International Meshing Roundtable, IMR 2009},
pages = {13--29},
title = {{Removing self intersections of a triangular mesh by edge swapping, edge hammering, and face lifting}},
year = {2009}
}
@article{ZhuW.2014Podr,
author = {Zhu, W and Shan, R},
issn = {10007210},
journal = {Shiyou Diqiu Wuli Kantan/Oil Geophysical Prospecting},
keywords = {Digital Rock ; Digital Rock Physics ; Equivalent P},
number = {6},
pages = {1138--1146},
publisher = {Science Press},
title = {{Progress of digital rock physics}},
volume = {49},
year = {2014}
}
@book{Zou2013,
abstract = {ISBN : 9780123971630 (alk. paper) Includes bibliographical references (pages 185-188) and index},
address = {Waltham, MA},
author = {Zou, Caineng},
edition = {First edit},
isbn = {9780123971630},
issn = {97801239},
keywords = {Hydrocarbon Reservoirs ; Volcanic Soils ; Petroleu},
language = {eng},
publisher = {Elsevier},
title = {{Volcanic reservoirs in petroleum exploration}},
year = {2013}
}
@book{1390,
author = {سعید, صاحبدل فر،},
file = {:C$\backslash$:/Users/Somtico/Documents/Thesis/Papers/Das{\_}Principles{\_}Geotechnical{\_}Engineering.pdf:pdf},
isbn = {9780495411307},
pages = {368},
title = {{No Titleنانوکاتالیست ها کاربردنانوفناوری در کاتالیزگری}},
year = {1390}
}
@article{Biot1941,
abstract = {The settlement of soils under load is caused by a phenomenon called consolidation, whose mechanism is known to be in many cases identical with the process of squeezing water out of an elastic porous medium. The mathematical physical consequences of this viewpoint are established in the present paper. The number of physical constants necessary to determine the properties of the soil is derived along with the general equations for the prediction of settlements and stresses in three‐dimensional problems. Simple applications are treated as examples. The operational calculus is shown to be a powerful method of solution of consolidation problems.},
author = {Biot, Maurice A.},
doi = {10.1063/1.1712886},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1941 - General Theory of Three‐Dimensional Consolidation.pdf:pdf},
issn = {0021-8979},
journal = {Journal of Applied Physics},
month = {feb},
number = {2},
pages = {155--164},
publisher = {American Institute of Physics},
title = {{General Theory of Three‐Dimensional Consolidation}},
url = {http://aip.scitation.org/doi/10.1063/1.1712886},
volume = {12},
year = {1941}
}
@article{Zhu2017,
author = {Zhu, Wei and Zhao, Luanxiao and Shan, Rui},
doi = {10.1190/geo2016-0556.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Zhu, Zhao, Shan - 2017 - Modeling effective elastic properties of digital rocks using a new dynamic stress-strain simulation method.pdf:pdf},
issn = {0016-8033},
journal = {Geophysics},
number = {6},
pages = {MR163--MR174},
title = {{Modeling effective elastic properties of digital rocks using a new dynamic stress-strain simulation method}},
url = {http://library.seg.org/doi/10.1190/geo2016-0556.1},
volume = {82},
year = {2017}
}
@article{Ai2014,
abstract = {This paper presents an analytical layer-element solution to non-axisymmetric consolidation of multilayered poroelastic materials with anisotropic permeability and compressible constituents. By applying Fourier expansions, Hankel transforms and Laplace transforms to the state variables involved in the governing equations of poroelasticity with respect to the circumferential, radial and time coordinates, respectively, the analytical layer-element (i.e. a symmetric stiffness matrix) is derived, which describes the relationship between the transformed generalized stresses and displacements at the surface (z= 0) and those at an arbitrary depth z, considering the corresponding boundary and continuity conditions at the layer interfaces, the global stiffness matrix of a multilayered system is assembled in the transformed domain. The actual solutions in the physical domain are acquired by applying numerical quadrature schemes for the inversion of the Laplace-Hankel transform. Finally, numerical calculation is presented to investigate the influence of layering and poroelastic material parameters on consolidation process. {\textcopyright} 2013 Elsevier Inc.},
author = {Ai, Zhi Yong and Hu, Ya Dong and Cheng, Yi Chong},
doi = {10.1016/j.apm.2013.06.014},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Ai, Hu, Cheng - 2014 - Non-axisymmetric consolidation of poroelastic multilayered materials with anisotropic permeability and compressib.pdf:pdf},
issn = {0307904X},
journal = {Applied Mathematical Modelling},
keywords = {Analytical layer-element,Anisotropic permeability,Compressible constituents,Multilayered poroelastic materials,Non-axisymmetric consolidation},
number = {2},
pages = {576--587},
title = {{Non-axisymmetric consolidation of poroelastic multilayered materials with anisotropic permeability and compressible constituents}},
volume = {38},
year = {2014}
}
@article{Rubino2013,
abstract = {Wave-induced fluid flow at microscopic and mesoscopic scales arguably constitutes the major cause of intrinsic seismic attenuation throughout the exploration seismic and sonic frequency ranges. The quantitative analysis of these phenomena is, however, complicated by the fact that the governing physical processes may be dependent. The reason for this is that the presence of microscopic heterogeneities, such as micro-cracks or broken grain contacts, causes the stiffness of the so-called modified dry frame to be complex-valued and frequency-dependent, which in turn may affect the viscoelastic behaviour in response to fluid flow at mesoscopic scales. In this work, we propose a simple but effective procedure to estimate the seismic attenuation and velocity dispersion behaviour associated with wave-induced fluid flow due to both microscopic and mesoscopic heterogeneities and discuss the results obtained for a range of pertinent scenarios.},
author = {Rubino, German J. and Holliger, Klaus},
doi = {10.1111/1365-2478.12009},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Unknown - Unknown - Rubino and Holliger (2013) - Seismic attenuation due to wave‐induced fluid flow at microscopic and mesoscopic scales.pdf:pdf},
journal = {Geophysical Prospecting},
keywords = {Acoustics,Attenuation,Modelling,Rock physics,Seismics},
mendeley-tags = {Acoustics,Attenuation,Modelling,Rock physics,Seismics},
pages = {882--889},
title = {{Seismic attenuation due to wave‐induced fluid flow at microscopic and mesoscopic scales.pdf}},
volume = {61},
year = {2013}
}
@article{Singh2006,
abstract = {The Biot linearized quasi-static theory of fluid-infiltrated porous materials is used to formulate the problem of the two-dimensional plane strain deformation of a multi-layered poroelastic half-space by surface loads. The Fourier-Laplace transforms of the stresses, displacements, pore pressure and fluid flux in each homogeneous layer of the multi-layered half-space are expressed in terms of six arbitrary constants. Generalized Thomson-Haskell matrix method is used to obtain the deformation field. Simplified explicit expressions for the elements of the 6×6 propagator matrix for the poroelastic medium are obtained. As an example of the possible applications of the analytical formulation developed, formal solution is given for normal strip loading, normal line loading and shear line loading.},
author = {Singh, Sarva Jit and Rani, Sunita},
doi = {0.1007/s12040-006-0001-3},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Singh, Rani - 2006 - Plane strain deformation of a multi-layered poroelastic half-space by surface loads.pdf:pdf},
journal = {Journal of Earth System Science},
keywords = {multi-layered half-space,place strain,poroelastic,propagator matrix,surface loads},
mendeley-tags = {multi-layered half-space,place strain,poroelastic,propagator matrix,surface loads},
number = {6},
pages = {685--694},
title = {{Plane strain deformation of a multi-layered poroelastic half-space by surface loads}},
url = {https://link-springer-com.cyber.usask.ca/content/pdf/10.1007{\%}2Fs12040-006-0001-3.pdf},
volume = {115},
year = {2006}
}
@techreport{Pan1999,
abstract = {In this paper, the complete Green's functions in a multilayered, isotropic, and poroelastic half-space are presented. It is the "rst time that all the common point sources, i.e. the total force, {\#}uid force, {\#}uid dilatation, and dislocation, are considered for a layered system. The Laplace transform is applied "rst to suppress the time variable. The cylindrical and Cartesian systems of vector functions and the propagator matrix method are then employed to derive the Green's functions. In the treatment of a point dislocation, an equivalent body-source concept is introduced, and the di!erence of a dislocation in a purely elastic and a poroelastic medium is discussed. While the spatial integrals involved in the Green's functions can be evaluated accurately by an adaptive Gauss quadrature with continued fraction expansions, the inverse Laplace transform can be carried out by applying a common numerical inversion technique. These complete Green's functions can be implemented into a suitable boundary element formulation to study the deformation and fracture problems in a layered poroelastic half-space.},
author = {Pan, E},
booktitle = {INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS Int. J. Numer. Anal. Meth. Geomech},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Pan - 1999 - GREEN'S FUNCTIONS IN LAYERED POROELASTIC HALF-SPACES.pdf:pdf},
keywords = {Green's function,dislocation,equivalent body force,layered poroelastic half-space,propagator matrix,vector function},
pages = {1631--1653},
title = {{Green's Functions in Layered Poroelastic Half-Spaces}},
url = {https://blogs.uakron.edu/ernianpan/files/2014/09/038{\_}1999IJNAMGPanLayPoro.pdf},
volume = {23},
year = {1999}
}
@article{Green1990,
abstract = {A definition for the specific storage coefficient Ss is given which is unambiguous for general isotropic three-dimensional aquifer elasticity. In every representative elementary volume, Ss is the fluid volume released from storage per unit decline in hydraulic head, per unit bulk volume, under conditions such that there is no strain in two orthogonal directions, and the total normal stress in the third orthogonal direction is constant. The specific storage coefficient is a point property of the aquifer and is defined independently of problem domain stress and head boundary conditions. The expression for Ss in terms of aquifer and fluid compressibilities is identical to the familiar forms obtained assuming zero horizontal strain and constant overburden in an aquifer, although it is not restricted to these conditions. As a point property of the fluid-saturated material, the specific storage coefficient is one of four constants in the general constitutive poroelastic equations relating three-dimensional aquifer stress and strain to fluid pressure and dilatation. Written in terms of Ss, these equations show that pore fluid mass diffusion is governed by a diffusivity equal to the ratio of hydraulic conductivity to specific storage under arbitrary boundary conditions. It is shown that Ss controls slow compressional body wave velocity in the low frequency limit and that the uniaxial aquifer compressibility $\alpha$ is not necessarily related to the vertical direction.},
author = {Green, D. H. and Wang, H. F.},
doi = {10.1029/WR026i007p01631},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Green, Wang - 1990 - Specific storage as a poroelastic coefficient.pdf:pdf},
isbn = {1944-7973},
issn = {19447973},
journal = {Water Resources Research},
number = {7},
pages = {1631--1637},
title = {{Specific storage as a poroelastic coefficient}},
volume = {26},
year = {1990}
}
@article{Feranie2013,
abstract = {Tortuosity ($\tau$) of two-dimensional fractal model of porous media is investigated to study their relationship with porosity. Square full-walk technique is applied to obtain $\tau$ in a two-dimensional fractal model of porous substance constructed by Randomized Sierspinski Carpets. The numerical result is in good agreement with previous results and empirical relation between tortuosity and porosity given by $\tau$ ∼ p(1 - $\phi$) + 1 that was found by other using Lattice Gas Automata method for solving flow equation on two-dimensional porous substance constructed by randomly placed rectangles of equal size and with unrestricted overlap. Average tortuosity of the flow path decreases linearly as fractal dimension of pore increases at each fractal iteration. Both fractal dimension and iteration give almost the same linearly tortuosity-porosity relation. The type of random algorithm for constructing Randomized Sierspinski Carpets has no significant influence on the tortuosity-porosity relation. {\textcopyright} 2013 World Scientific Publishing Company.},
author = {Feranie, Selly and Latief, Fourier D.E.},
doi = {10.1142/S0218348X13500138},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Feranie, Latief - 2013 - Tortuosity-porosity relationship in two-dimensional fractal model of porous media.pdf:pdf},
issn = {0218348X},
journal = {Fractals},
keywords = {Porosity,Randomized Sierspinski Carpets,Tortuosity},
number = {2},
publisher = {World Scientific Publishing Co. Pte Ltd},
title = {{Tortuosity-porosity relationship in two-dimensional fractal model of porous media}},
volume = {21},
year = {2013}
}
@article{Biot1957,
author = {Biot, M A and Willis, D G},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Unknown - 1989 - Theory of consolidation.pdf:pdf},
journal = {Journal of Applied Mechanics},
pages = {594--601},
title = {{The Elastic Coefficients of the Theory of Consolidation}},
url = {https://pdfs.semanticscholar.org/19f3/031f724d31b37ad38a0ae67bdace1e539488.pdf},
volume = {79},
year = {1957}
}
@article{Biot1962,
abstract = {A unified treatment of the mechanics of deformation and acoustic propagation in porous media is presented, and some new results and generalizations are derived. The writer's earlier theory of deformation of porous media derived from general principles of nonequilibrium thermodynamics is applied. The fluid‐solid medium is treated as a complex physical‐chemical system with resultant relaxation and viscoelastic properties of a very general nature. Specific relaxation models are discussed, and the general applicability of a correspondence principle is further emphasized. The theory of acoustic propagation is extended to include anisotropic media, solid dissipation, and other relaxation effects. Some typical examples of sources of dissipation other than fluid viscosity are considered.},
author = {Biot, M. A.},
doi = {10.1063/1.1728759},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1962 - Mechanics of Deformation and Acoustic Propagation in Porous Media.pdf:pdf},
issn = {0021-8979},
journal = {Journal of Applied Physics},
month = {apr},
number = {4},
pages = {1482--1498},
publisher = {American Institute of Physics},
title = {{Mechanics of Deformation and Acoustic Propagation in Porous Media}},
url = {http://aip.scitation.org/doi/10.1063/1.1728759},
volume = {33},
year = {1962}
}
@article{Morozov2016a,
abstract = {Field and laboratory observations of seismic wave propagation and attenuation are usually explained using the viscoelastic (VE) model and effective moduli. However, in sedimentary rocks, wave velocities and attenuation rates are dominated by pore-fluid effects, such as poroelasticity, squirt, and mesoscopic wave-induced fluid flows. Physically, such effects are significantly different from viscoelasticity, and the pore-fluid and VE phenomena are difficult to compare quantitatively without a common theoretical framework. We develop such a unified macroscopic framework that we call the general linear solid (GLS). The GLS is based on Lagrangian continuum mechanics, and it can be summarized as multiphase poroelasticity extended by solid and fluid viscosities. The formulation is carried out strictly in terms of continuum mechanics, measurable physical properties, and boundary conditions, from which the observable wave velocities and attenuation are predicted. Explicit differential equations are derived in matrix form, from which a variety of numerical modeling schemes can be obtained. A rigorous correspondence principle is formulated, in which viscosity effects contribute to complex-valued VE moduli, and Darcy friction lead to a complex-valued density matrix. Within the GLS framework, the viscoelasticity represents an end member characterized by zero Darcy-type friction, whereas the poroelasticity is an end member with zero solid viscosity. Transitions between these end members and their extensions yield macroscopic models of viscoporoelasticity, poroelasticity with multiple saturating fluids and double porosity, and poroelasticity with squirt flows. The approach is illustrated on models of layered poroelastic and viscoporoelastic media. Applications of the GLS framework are continued in part 2 of this study.},
author = {Morozov, Igor B. and Deng, Wubing},
doi = {10.1190/geo2014-0404.1},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Morozov, Deng - 2016 - Macroscopic framework for viscoelasticity, poroelasticity, and wave-induced fluid flows — Part 1 General Linear S.pdf:pdf},
issn = {0016-8033},
journal = {Society of Exploration Geophysicists},
number = {1},
pages = {L1--L13},
title = {{Macroscopic framework for viscoelasticity, poroelasticity, and wave-induced fluid flows — Part 1: General Linear Solid}},
url = {https://library.seg.org/doi/abs/10.1190/geo2014-0171.1},
volume = {81},
year = {2016}
}
@article{PatrickKurzeja2012,
abstract = {Biot's theory of wave propagation in porous media includes a characteristic frequency which is used to distinguish the low-frequency from the high-frequency range. Its determination is based on an investigation of fluid flow through different pore geometries on a smaller scale and a subsequent upscaling process. This idea is limited due to the assumptions made on the smaller scale. It can be enhanced for a general two-phase system by three properties: Inertia of the solid, elasticity of the solid, and frequency dependent corrections of the momentum exchange. They become important for highly porous media with liquids.},
author = {{Patrick Kurzeja} and {Holger Steeb}},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Patrick Kurzeja, Holger Steeb - 2012 - About the transition frequency in Biot's theory.pdf:pdf},
journal = {Acoustical Society of America},
number = {6},
pages = {EL454--60},
title = {{About the transition frequency in Biot's theory}},
url = {https://www.researchgate.net/publication/227394783{\_}About{\_}the{\_}transition{\_}frequency{\_}in{\_}Biot's{\_}theory},
volume = {131},
year = {2012}
}
@article{Studies2017,
author = {Studies, Postdoctoral},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Studies - 2017 - MECHANISMS AND MODELS OF SEISMIC ATTENUATION.pdf:pdf},
number = {April},
title = {{MECHANISMS AND MODELS OF SEISMIC ATTENUATION}},
year = {2017}
}
@article{Toms2006,
author = {Toms, J. and M{\"{u}}ller, T.M. and Ciz, R. and Gurevich, B.},
doi = {10.1016/j.soildyn.2006.01.008},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Toms et al. - 2006 - Comparative review of theoretical models for elastic wave attenuation and dispersion in partially saturated rocks.pdf:pdf},
issn = {02677261},
journal = {Soil Dynamics and Earthquake Engineering},
keywords = {Journal Article},
month = {jun},
number = {6-7},
pages = {548--565},
publisher = {Elsevier},
title = {{Comparative review of theoretical models for elastic wave attenuation and dispersion in partially saturated rocks}},
url = {http://linkinghub.elsevier.com/retrieve/pii/S0267726106000091},
volume = {26},
year = {2006}
}
@article{Ahmed2019,
abstract = {We present a digital rock workflow to determine poroelastic parameters which are difficult to extract from well-log or laboratory measurements. The drained pore modulus is determinant in the compaction problem. This modulus represents the ratio of pore volume change to confining pressure when the fluid pressure is constant. In laboratory experiments, bulk volume changes are accurately measured by sensors attached to the outer surface of the rock sample. In contrast, pore volume changes are notoriously difficult to measure because these changes need to quantify the pore boundary deformation. Hence, accurate measures of the drained pore modulus are challenging. We simulate static deformation experiments at the pore-scale utilizing a digital rock image. We model an Ottawa F-42 sand pack obtained from an X-ray micro-tomographic image. This image is segmented into a network of grains and pore space. The network of grains is taken as an elastic, isotropic and homogeneous continuum. We then compute the linear momentum balance for the network of grains. We calculate the change in pore volume using a post-processing algorithm, which allows us to compute the local changes in pore volume due to the applied load. This process yields an accurate drained pore modulus. We then use an alternative estimate of the drained pore modulus. We exploit its relation to the drained bulk modulus and the solid phase bulk modulus (i.e., Biot coefficient) using the digital rock work- flow. Finally, we compare the drained pore modulus values obtained from these two independent analyses and find reasonable agreement.},
author = {Ahmed, Shakil and M{\"{u}}ller, Tobias M. and Madadi, Mahyar and Calo, Victor},
doi = {10.1016/j.ijrmms.2018.12.019},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Ahmed et al. - 2019 - Drained pore modulus and Biot coefficient from pore-scale digital rock simulations.pdf:pdf},
issn = {13651609},
journal = {International Journal of Rock Mechanics and Mining Sciences},
keywords = {Biot coefficient,Digital rocks,Drained pore modulus,Poroelasticity},
number = {February 2018},
pages = {62--70},
publisher = {Elsevier Ltd},
title = {{Drained pore modulus and Biot coefficient from pore-scale digital rock simulations}},
url = {https://doi.org/10.1016/j.ijrmms.2018.12.019},
volume = {114},
year = {2019}
}
@article{Biot1956a,
abstract = {The author's previous theory of elasticity and consolidation for isotropic material is extended to the general case of anisotropy. the method of derivation is also different and more direct. The particular cases of transverse isotropy and complete isotropy are discussed.},
archivePrefix = {arXiv},
arxivId = {arXiv:1011.1669v3},
author = {Biot, M. A.},
doi = {10.1063/1.1722402},
eprint = {arXiv:1011.1669v3},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1956 - Theory of deformation of a porous viscoelastic anisotropic solid.pdf:pdf},
isbn = {00218979},
issn = {00218979},
journal = {Journal of Applied Physics},
number = {5},
pages = {459--467},
pmid = {25246403},
title = {{Theory of deformation of a porous viscoelastic anisotropic solid}},
volume = {27},
year = {1956}
}
@article{Biot1956,
abstract = {Equations of elasticity and consolidation for a porous elastic material containing a fluid have been previously established. General solutions of these equations for the isotropic case are developed, giving directly the displacement field or the stress field in analogy with the Boussinesq-Papkovitch solution and the stress functions of the theory of elasticity. General properties of the solu- tions also are examined and the viewpoint of eigenfunctions in consolidation problems is introduced},
author = {Biot, Maurice A.},
doi = {60/8/1002 [pii]},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1956 - General solutions of the equation of elasticity and consolidation for a porous material.pdf:pdf},
isbn = {1079-5006 (Print)},
issn = {0148-0227},
journal = {Journal of Applied Mechanics},
pages = {91--96},
pmid = {16127103},
title = {{General solutions of the equation of elasticity and consolidation for a porous material}},
volume = {78},
year = {1956}
}
@article{Biot1956b,
author = {Biot, M A},
doi = {10.1121/1.1908241},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Biot - 1956 - Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range.pdf:pdf},
journal = {Citation: The Journal of the Acoustical Society of America},
pages = {179},
title = {{Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range}},
url = {https://doi.org/10.1121/1.1908241},
volume = {28},
year = {1956}
}
@article{Meinzer1928,
author = {Meinzer, Edward Oscar},
doi = {https://doi-org.cyber.usask.ca/10.2113/gsecongeo.23.3.263},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Edward Meinzer - 1928 - COMPRESSIBILITY AND ELASTICITY OF ARTESIAN A(2UIFERS.pdf:pdf},
journal = {Economic Geology},
number = {3},
pages = {263--291},
title = {{Compressibility And Elasticity of Artesian Aquifers}},
url = {https://pubs.geoscienceworld.org/segweb/economicgeology/article-pdf/23/3/263/3475640/263.pdf},
volume = {23},
year = {1928}
}
@inproceedings{Sungkorn2015,
abstract = {Digital rock physics (DRP) is becoming a standard tool for rock characterization. DRP utilizes 2D and 3D digital images of rock samples to analyze petrophysical and geological properties. The ability to apply DRP to a large rock sample opens a way for economic exploration and recovery of hydrocarbon. Nevertheless, due to the well-known multi-scale nature of rocks and limitations in imaging technology, less than 1{\%} by volume of a rock sample will be digitally acquired and analyzed. Undoubtedly, relevancy and representativeness of DRP remain hotly debated topics in oil and gas industry. Machine learning (ML) has recently accelerated advances in many industries. ML brings together multiple disciplines such as computer science, statistics, and natural science to create algorithms that can learn from data. DRP can harness the power of ML to learn from its data, the digital image of rocks, to generate breakthroughs in the oil and gas industry. In this paper, we present a framework that combines advances in DRP and ML to characterize rock samples at a large scale, not only a tiny part of it. The framework is based on an understanding that a rock consists of multi-scale rock fabrics intermixed spatially. These rock fabrics are captured as groups of patterns within a digital image when they are smaller than the image resolution being used. We developed ML algorithms that can automatically learn about rock fabrics and their patterns. This learning process can be iteratively repeated down to an image resolution that resolves the smallest or the most significant rock fabrics. Thus, the framework integrates DRP paradigm to achieve a truly multi-scale analysis. Also, DRP and ML analysis determine the optimum number and optimum locations for further acquisition and analysis of rock fabrics at a higher resolution.},
author = {Sungkorn, R and Morcote, A and Carpio, G and Davalos, G and Mu, Y and Grader, A and Derzhi, N and Toelke, J},
booktitle = {International Symposium of the Society of Core Analysts},
file = {:C$\backslash$:/Users/Somtico/AppData/Local/Mendeley Ltd./Mendeley Desktop/Downloaded/Sungkorn et al. - 2015 - Multi-Scale and Upscaling of Digital Rock Physics With a Machine That Can Learn About Rocks.pdf:pdf},
pages = {16--21},
title = {{Multi-Scale and Upscaling of Digital Rock Physics With a Machine That Can Learn About Rocks}},
year = {2015}
}