Effects of spatial heterogeneity and material anisotropy on the fracture pattern and macroscopic effective toughness of Mancos Shale in Brazilian tests

Na, SeonHong; Sun, WaiChing; Ingraham, Mathew D.; Yoon, Hongkyu

doi:10.1002/2016JB013374

Title: Effects of spatial heterogeneity and material anisotropy on the fracture pattern and macroscopic effective toughness of Mancos Shale in Brazilian tests

Journal Article · 18 August 2017 · Journal of Geophysical Research. Solid Earth

DOI: https://doi.org/10.1002/2016JB013374 · OSTI ID:1375649

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Department of Civil Engineering and Engineering Mechanics, Columbia University, New York New York USA
Geomechanics Department, Sandia National Laboratories, Albuquerque New Mexico USA

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Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0006883; SC0006883

OSTI ID:: 1375649

Alternate ID(s):: OSTI ID: 1375650; OSTI ID: 1377607

Journal Information:: Journal of Geophysical Research. Solid Earth, Journal Name: Journal of Geophysical Research. Solid Earth; ISSN 2169-9313

Publisher:: American Geophysical UnionCopyright Statement

Country of Publication:: United States

Language:: English

References (88)

A continuum phase field model for fracture Kuhn, Charlotte; Müller, Ralf Engineering Fracture Mechanics, Vol. 77, Issue 18 https://doi.org/10.1016/j.engfracmech.2010.08.009	journal	December 2010
Failure of transversely isotropic rock under Brazilian test conditions Vervoort, André; Min, Ki-Bok; Konietzky, Heinz International Journal of Rock Mechanics and Mining Sciences, Vol. 70 https://doi.org/10.1016/j.ijrmms.2014.04.006	journal	September 2014
Connecting microstructural attributes and permeability from 3D tomographic images of in situ shear-enhanced compaction bands using multiscale computations: MICROSCALE AND IMPACT ON PERMEABILITY Sun, WaiChing; Andrade, José E.; Rudnicki, John W. Geophysical Research Letters, Vol. 38, Issue 10 https://doi.org/10.1029/2011GL047683	journal	May 2011
Fracture mechanisms in soft rock: Identification and quantification of evolving displacement discontinuities by extended digital image correlation Nguyen, Tuong Lam; Hall, Stephen A.; Vacher, Pierre Tectonophysics, Vol. 503, Issue 1-2 https://doi.org/10.1016/j.tecto.2010.09.024	journal	April 2011
Nano to Macro Mechanical Characterization of Shale Kumar, Vikas; Sondergeld, Carl H.; Rai, Chandra Shekhar SPE Annual Technical Conference and Exhibition https://doi.org/10.2118/159804-MS	conference	April 2013
On the validity of the ‘Brazilian’ test for brittle materials Fairhurst, C. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 1, Issue 4 https://doi.org/10.1016/0148-9062(64)90060-9	journal	October 1964
Fracture and fragmentation of simplicial finite element meshes using graphs Mota, Alejandro; Knap, Jaroslaw; Ortiz, Michael International Journal for Numerical Methods in Engineering, Vol. 73, Issue 11 https://doi.org/10.1002/nme.2135	journal	January 2008
Ultrasonic velocity and anisotropy of hydrocarbon source rocks Vernik, Lev; Nur, Amos GEOPHYSICS, Vol. 57, Issue 5 https://doi.org/10.1190/1.1443286	journal	May 1992
The controlled failure of rock discs and rings loaded in diametral compression Hudson, J. A.; Brown, E. T.; Rummel, F. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 9, Issue 2 https://doi.org/10.1016/0148-9062(72)90025-3	journal	March 1972
The solid phase stress tensor in porous media mechanics and the Hill–Mandel condition Gray, William G.; Schrefler, Bernhard A.; Pesavento, Francesco Journal of the Mechanics and Physics of Solids, Vol. 57, Issue 3 https://doi.org/10.1016/j.jmps.2008.11.005	journal	March 2009
Discontinuous enrichment in finite elements with a partition of unity method Dolbow, John; Moës, Nicolas; Belytschko, Ted Finite Elements in Analysis and Design, Vol. 36, Issue 3-4 https://doi.org/10.1016/S0168-874X(00)00035-4	journal	November 2000
A New Overview of The Trilinos Project Heroux, Michael A.; Willenbring, James M. Scientific Programming, Vol. 20, Issue 2 https://doi.org/10.1155/2012/408130	journal	January 2012
A Review of the Tensile Strength of Rock: Concepts and Testing Perras, Matthew A.; Diederichs, Mark S. Geotechnical and Geological Engineering, Vol. 32, Issue 2 https://doi.org/10.1007/s10706-014-9732-0	journal	January 2014
Effect of layer orientation on the failure of layered sandstone under Brazilian test conditions Tavallali, Abbass; Vervoort, André International Journal of Rock Mechanics and Mining Sciences, Vol. 47, Issue 2 https://doi.org/10.1016/j.ijrmms.2010.01.001	journal	February 2010
Efficient Completions in Anisotropic Shale Gas Formations Mighani, Saied; Sondergeld, Carl; Rai, Chandra Proceedings of the 2nd Unconventional Resources Technology Conference https://doi.org/10.15530/urtec-2014-1934272	conference	January 2014
Numerical simulations and interpretations of Brazilian tensile tests on transversely isotropic rocks Dan, Dinh Quoc; Konietzky, Heinz International Journal of Rock Mechanics and Mining Sciences, Vol. 71 https://doi.org/10.1016/j.ijrmms.2014.06.015	journal	October 2014
Continuum phase field modeling of dynamic fracture: variational principles and staggered FE implementation Hofacker, Martina; Miehe, Christian International Journal of Fracture, Vol. 178, Issue 1-2 https://doi.org/10.1007/s10704-012-9753-8	journal	July 2012
A simple extension strain criterion for fracture of brittle rock Stacey, T. R. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 18, Issue 6 https://doi.org/10.1016/0148-9062(81)90511-8	journal	December 1981
Geology and oil and gas assessment of the Mancos-Menefee Composite Total Petroleum System: Chapter 4 in Total petroleum systems and geologic assessment of undiscovered oil and gas resources in the San Juan Basin Province, exclusive of Paleozoic rocks, New Mexico and Colorado Ridgley, J. L.; Condon, S. M.; Hatch, J. R. https://doi.org/10.3133/ds69F4	report	January 2013
Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock Park, Bona; Min, Ki-Bok International Journal of Rock Mechanics and Mining Sciences, Vol. 76 https://doi.org/10.1016/j.ijrmms.2015.03.014	journal	June 2015
Numerical simulation of Brazilian disk rock failure under static and dynamic loading Zhu, W. C.; Tang, C. A. International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 2 https://doi.org/10.1016/j.ijrmms.2005.06.008	journal	February 2006
Organic matter variations in transgressive and regressive shales Pasley, Mark A.; Gregory, William A.; Hart, George F. Organic Geochemistry, Vol. 17, Issue 4 https://doi.org/10.1016/0146-6380(91)90114-Y	journal	January 1991
Virtual Strain Gage Size Study Reu, Phillip Experimental Techniques, Vol. 39, Issue 5 https://doi.org/10.1111/ext.12172	journal	September 2015
Stabilized mixed finite elements for deformable porous media with double porosity Choo, Jinhyun; Borja, Ronaldo I. Computer Methods in Applied Mechanics and Engineering, Vol. 293 https://doi.org/10.1016/j.cma.2015.03.023	journal	August 2015
`p4est` : Scalable Algorithms for Parallel Adaptive Mesh Refinement on Forests of Octrees Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar SIAM Journal on Scientific Computing, Vol. 33, Issue 3 https://doi.org/10.1137/100791634	journal	January 2011
Pore-lining phases and capillary breakthrough pressure of mudstone caprocks: Sealing efficiency of geologic CO2 storage sites Heath, Jason E.; Dewers, Thomas A.; McPherson, Brian J. O. L. International Journal of Greenhouse Gas Control, Vol. 11 https://doi.org/10.1016/j.ijggc.2012.08.001	journal	November 2012
Experimental, numerical and analytical studies on tensile strength of rocks Erarslan, Nazife; Williams, David John International Journal of Rock Mechanics and Mining Sciences, Vol. 49 https://doi.org/10.1016/j.ijrmms.2011.11.007	journal	January 2012
In Situ Permeability Measurements inside Compaction Bands Using X-Ray CT and Lattice Boltzmann Calculations Lenoir, N.; Andrade, J. E.; Sun, W. C. Advances in Computed Tomography for Geomaterials: GeoX 2010 https://doi.org/10.1002/9781118557723.ch33	other	March 2010
Fluid-Filled Fracture Propagation With a Phase-Field Approach and Coupling to a Reservoir Simulator Wick, Thomas; Singh, Gurpreet; Wheeler, Mary F. SPE Journal, Vol. 21, Issue 03 https://doi.org/10.2118/168597‐PA	journal	June 2016
Block-preconditioned Newton–Krylov solvers for fully coupled flow and geomechanics White, Joshua A.; Borja, Ronaldo I. Computational Geosciences, Vol. 15, Issue 4 https://doi.org/10.1007/s10596-011-9233-7	journal	April 2011
The Phenomena of Rupture and Flow in Solids Griffith, A. A. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 221, Issue 582-593 https://doi.org/10.1098/rsta.1921.0006	journal	January 1921
A multiscale DEM-LBM analysis on permeability evolutions inside a dilatant shear band Sun, WaiChing; Kuhn, Matthew R.; Rudnicki, John W. Acta Geotechnica, Vol. 8, Issue 5 https://doi.org/10.1007/s11440-013-0210-2	journal	May 2013
Characterization of anisotropy in the permeability of organic-rich shales Mokhtari, Mehdi; Tutuncu, Azra N. Journal of Petroleum Science and Engineering, Vol. 133 https://doi.org/10.1016/j.petrol.2015.05.024	journal	September 2015
Analysis of CO ₂ leakage through ‘low-permeability’ faults from natural reservoirs in the Colorado Plateau, east-central Utah Shipton, Z. K.; Evans, J. P.; Kirschner, D. Geological Society, London, Special Publications, Vol. 233, Issue 1 https://doi.org/10.1144/GSL.SP.2004.233.01.05	journal	January 2004
Poisson's ratio values for rocks Gercek, H. International Journal of Rock Mechanics and Mining Sciences, Vol. 44, Issue 1 https://doi.org/10.1016/j.ijrmms.2006.04.011	journal	January 2007
Importance of anisotropy when estimating and measuring in situ stresses in rock Amadei, B. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 33, Issue 3 https://doi.org/10.1016/0148-9062(95)00062-3	journal	April 1996
A review of the Brazilian test for rock tensile strength determination. Part I: calculation formula Andreev, G. E. Mining Science and Technology, Vol. 13, Issue 3 https://doi.org/10.1016/0167-9031(91)91006-4	journal	December 1991
Phase-field modeling of ductile fracture Ambati, M.; Gerasimov, T.; De Lorenzis, L. Computational Mechanics, Vol. 55, Issue 5 https://doi.org/10.1007/s00466-015-1151-4	journal	April 2015
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits Miehe, Christian; Hofacker, Martina; Welschinger, Fabian Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 45-48 https://doi.org/10.1016/j.cma.2010.04.011	journal	November 2010
Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients White, Joshua A.; Borja, Ronaldo I. Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 49-50 https://doi.org/10.1016/j.cma.2008.05.015	journal	September 2008
Mechanical properties of shale-gas reservoir rocks — Part 1: Static and dynamic elastic properties and anisotropy Sone, Hiroki; Zoback, Mark D. GEOPHYSICS, Vol. 78, Issue 5 https://doi.org/10.1190/geo2013-0050.1	journal	September 2013
Shape effects in the Brazilian tensile strength test and a 3D FEM correction Yu, Yong; Yin, Jianmin; Zhong, Zouwu International Journal of Rock Mechanics and Mining Sciences, Vol. 43, Issue 4 https://doi.org/10.1016/j.ijrmms.2005.09.005	journal	June 2006
Failure of Layered Sandstone under Brazilian Test Conditions: Effect of Micro-Scale Parameters on Macro-Scale Behaviour Tavallali, Abbass; Vervoort, André Rock Mechanics and Rock Engineering, Vol. 43, Issue 5 https://doi.org/10.1007/s00603-010-0084-7	journal	February 2010
deal.II---A general-purpose object-oriented finite element library Bangerth, W.; Hartmann, R.; Kanschat, G. ACM Transactions on Mathematical Software, Vol. 33, Issue 4 https://doi.org/10.1145/1268776.1268779	journal	August 2007
Estimation of Elastic Properties of Organic Matter in Woodford Shale Through Nanoindentation Measurements Kumar, Vikas; Curtis, Mark Erman; Gupta, Nabanita SPE Canadian Unconventional Resources Conference https://doi.org/10.2118/162778-MS	conference	April 2013
Effective toughness of heterogeneous media Hossain, M. Z.; Hsueh, C. -J.; Bourdin, B. Journal of the Mechanics and Physics of Solids, Vol. 71 https://doi.org/10.1016/j.jmps.2014.06.002	journal	November 2014
The tensile strength of rocks Hobbs, D. W. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 1, Issue 3 https://doi.org/10.1016/0148-9062(64)90005-1	journal	May 1964
Observations of Tensile Fracturing of Anisotropic Rocks Mighani, Saied; Sondergeld, Carl H.; Rai, Chandra S. SPE Journal https://doi.org/10.2118/1934272-PA	journal	January 2016
Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials Zhang, Zhengyu (Jenny); Paulino, Glaucio H. International Journal of Plasticity, Vol. 21, Issue 6 https://doi.org/10.1016/j.ijplas.2004.06.009	journal	June 2005
Long-wave elastic anisotropy produced by horizontal layering Backus, George E. Journal of Geophysical Research, Vol. 67, Issue 11 https://doi.org/10.1029/JZ067i011p04427	journal	October 1962
Brazilian test: stress field and tensile strength of anisotropic rocks using an analytical solution Claesson, J.; Bohloli, B. International Journal of Rock Mechanics and Mining Sciences, Vol. 39, Issue 8 https://doi.org/10.1016/S1365-1609(02)00099-0	journal	December 2002
Fracture Mechanics Anderson, Ted L.; Anderson, T. L. CRC Press https://doi.org/10.1201/9781420058215	book	June 2005
Computational thermo-hydro-mechanics for multiphase freezing and thawing porous media in the finite deformation range Na, SeonHong; Sun, WaiChing Computer Methods in Applied Mechanics and Engineering, Vol. 318 https://doi.org/10.1016/j.cma.2017.01.028	journal	May 2017
Capturing Key Attributes of Fine-Grained Sedimentary Rocks In Outcrops, Cores, and Thin Sections: Nomenclature and Description Guidelines Lazar, O. R.; Bohacs, K. M.; Macquaker, J. H. S. Journal of Sedimentary Research, Vol. 85, Issue 3 https://doi.org/10.2110/jsr.2015.11	journal	March 2015
Brazilian tensile strength tests on some anisotropic rocks Dan, Dinh Quoc; Konietzky, Heinz; Herbst, Martin International Journal of Rock Mechanics and Mining Sciences, Vol. 58 https://doi.org/10.1016/j.ijrmms.2012.08.010	journal	February 2013
Intrinsic elasticity of a textured transversely isotropic muscovite aggregate: Comparisons to the seismic anisotropy of schists and shales Cholach, Pavlo Y.; Schmitt, Douglas R. Journal of Geophysical Research, Vol. 111, Issue B9 https://doi.org/10.1029/2005JB004158	journal	January 2006
An introduction to phase-field modeling of microstructure evolution Moelans, Nele; Blanpain, Bart; Wollants, Patrick Calphad, Vol. 32, Issue 2 https://doi.org/10.1016/j.calphad.2007.11.003	journal	June 2008
Determination of deformability and tensile strength of anisotropic rock using Brazilian tests Chen, Chao-Shi; Pan, Ernian; Amadei, Bernard International Journal of Rock Mechanics and Mining Sciences, Vol. 35, Issue 1 https://doi.org/10.1016/S0148-9062(97)00329-X	journal	January 1998
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations Miehe, C.; Welschinger, F.; Hofacker, M. International Journal for Numerical Methods in Engineering, Vol. 83, Issue 10 https://doi.org/10.1002/nme.2861	journal	August 2010
Effect of layer orientation on acoustic emission characteristics of anisotropic shale in Brazilian tests Wang, Jun; Xie, Lingzhi; Xie, Heping Journal of Natural Gas Science and Engineering, Vol. 36 https://doi.org/10.1016/j.jngse.2016.03.046	journal	November 2016
The controlled failure of rock discs and rings loaded in diametral compression Datta, R. N. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 10, Issue 3 https://doi.org/10.1016/0148-9062(73)90034-X	journal	May 1973
A phase-field model for cohesive fracture: A PHASE-FIELD MODEL FOR COHESIVE FRACTURE Verhoosel, Clemens V.; de Borst, René International Journal for Numerical Methods in Engineering, Vol. 96, Issue 1 https://doi.org/10.1002/nme.4553	journal	July 2013
The Brazilian Disc Test for Rock Mechanics Applications: Review and New Insights Li, Diyuan; Wong, Louis Ngai Yuen Rock Mechanics and Rock Engineering, Vol. 46, Issue 2 https://doi.org/10.1007/s00603-012-0257-7	journal	May 2012
Rock fracture-toughness determination by the Brazilian test Guo, H.; Aziz, N. I.; Schmidt, L. C. Engineering Geology, Vol. 33, Issue 3 https://doi.org/10.1016/0013-7952(93)90056-I	journal	February 1993
Introductory Studies of Natural and Artificial Argillaceous Aggregates by Sound-Propagation and X-ray Diffraction Methods Kaarsberg, E. A. The Journal of Geology, Vol. 67, Issue 4 https://doi.org/10.1086/626597	journal	July 1959
Fracture toughness anisotropy in shale: FRACTURE TOUGHNESS ANISOTROPY IN SHALE Chandler, Michael R.; Meredith, Philip G.; Brantut, Nicolas Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 3 https://doi.org/10.1002/2015JB012756	journal	March 2016
A phase-field description of dynamic brittle fracture Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A. Computer Methods in Applied Mechanics and Engineering, Vol. 217-220 https://doi.org/10.1016/j.cma.2012.01.008	journal	April 2012
Mechanical properties of shale-gas reservoir rocks — Part 2: Ductile creep, brittle strength, and their relation to the elastic modulus Sone, Hiroki; Zoback, Mark D. GEOPHYSICS, Vol. 78, Issue 5 https://doi.org/10.1190/geo2013-0051.1	journal	September 2013
Propagation of fractures from an interface in a Brazilian test specimen Malan, D. F.; Napier, J. A. L.; Watson, B. P. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 31, Issue 6 https://doi.org/10.1016/0148-9062(94)90002-7	journal	December 1994
Spectrum of pore types and networks in mudrocks and a descriptive classification for matrix-related mudrock pores Loucks, Robert G.; Reed, Robert M.; Ruppel, Stephen C. AAPG Bulletin, Vol. 96, Issue 6 https://doi.org/10.1306/08171111061	journal	June 2012
Phase field approximation of dynamic brittle fracture Schlüter, Alexander; Willenbücher, Adrian; Kuhn, Charlotte Computational Mechanics, Vol. 54, Issue 5 https://doi.org/10.1007/s00466-014-1045-x	journal	June 2014
Mudstone (“shale”) depositional and diagenetic processes: Implications for seismic analyses of source-rock reservoirs Hart, Bruce S.; Macquaker, Joe H. S.; Taylor, Kevin G. Interpretation, Vol. 1, Issue 1 https://doi.org/10.1190/INT-2013-0003.1	journal	August 2013
Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy: PHASE-FIELD MODELING AND SIMULATION OF STRONGLY ANISOTROPIC FRACTURE Li, Bin; Peco, Christian; Millán, Daniel International Journal for Numerical Methods in Engineering, Vol. 102, Issue 3-4 https://doi.org/10.1002/nme.4726	journal	July 2014
Microcrack modelling of Brazilian tensile tests with the boundary element method Lanaro, Flavio; Sato, Toshinori; Stephansson, Ove International Journal of Rock Mechanics and Mining Sciences, Vol. 46, Issue 3 https://doi.org/10.1016/j.ijrmms.2008.11.007	journal	April 2009
Hydromechanical Modeling of Unsaturated Flow in Double Porosity Media Choo, Jinhyun; White, Joshua A.; Borja, Ronaldo I. International Journal of Geomechanics, Vol. 16, Issue 6 https://doi.org/10.1061/(ASCE)GM.1943-5622.0000558	journal	December 2016
A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach Heister, Timo; Wheeler, Mary F.; Wick, Thomas Computer Methods in Applied Mechanics and Engineering, Vol. 290 https://doi.org/10.1016/j.cma.2015.03.009	journal	June 2015
Applications of an explicit solution for the transversely isotropic circular disc compressed diametrically Exadaktylos, G. E.; Kaklis, K. N. International Journal of Rock Mechanics and Mining Sciences, Vol. 38, Issue 2 https://doi.org/10.1016/S1365-1609(00)00072-1	journal	February 2001
A review of the Brazilian test for rock tensile strength determination. Part II: contact conditions Andreev, G. E. Mining Science and Technology, Vol. 13, Issue 3 https://doi.org/10.1016/0167-9031(91)91035-G	journal	December 1991
Brazilian Tests on Transversely Isotropic Rocks: Laboratory Testing and Numerical Simulations Tan, Xin; Konietzky, Heinz; Frühwirt, Thomas Rock Mechanics and Rock Engineering, Vol. 48, Issue 4 https://doi.org/10.1007/s00603-014-0629-2	journal	July 2014
Advances in Two-Dimensional and Three-Dimensional Computer Vision Sutton, Michael A.; McNeill, Stephen R.; Helm, Jeffrey D. Topics in Applied Physics https://doi.org/10.1007/3-540-48800-6_10	book	January 2000
Elastic anisotropy of shales Sondergeld, Carl H.; Rai, Chandra S. The Leading Edge, Vol. 30, Issue 3 https://doi.org/10.1190/1.3567264	journal	March 2011
Static and dynamic pressure sensitivity anisotropy of a calcareous shale: Pressure anisotropy of calcareous shale Ong, Oliver N.; Schmitt, Douglas R.; Kofman, Randolph S. Geophysical Prospecting, Vol. 64, Issue 4 https://doi.org/10.1111/1365-2478.12403	journal	June 2016
A phase field model of dynamic fracture: Robust field updates for the analysis of complex crack patterns: A PHASE FIELD MODEL OF DYNAMIC FRACTURE Hofacker, M.; Miehe, C. International Journal for Numerical Methods in Engineering, Vol. 93, Issue 3 https://doi.org/10.1002/nme.4387	journal	July 2012
Multiscale method for characterization of porous microstructures and their impact on macroscopic effective permeability Sun, W. C.; Andrade, J. E.; Rudnicki, J. W. International Journal for Numerical Methods in Engineering, Vol. 88, Issue 12 https://doi.org/10.1002/nme.3220	journal	May 2011
Behaviour of layered sandstone under Brazilian test conditions: Layer orientation and shape effects Tavallali, Abbass; Vervoort, André Journal of Rock Mechanics and Geotechnical Engineering, Vol. 5, Issue 5 https://doi.org/10.1016/j.jrmge.2013.01.004	journal	October 2013
Velocity anisotropy in shales: A petrophysical study Vernik, Lev; Liu, Xingzhou GEOPHYSICS, Vol. 62, Issue 2 https://doi.org/10.1190/1.1444162	journal	March 1997
Transversely Isotropic Poroelasticity Arising from Thin Isotropic Layers Berryman, James G. Mathematics of Multiscale Materials https://doi.org/10.1007/978-1-4612-1728-2_3	book	January 1998
The Variational Approach to Fracture Bourdin, Blaise; Francfort, Gilles A.; Marigo, Jean-Jacques Journal of Elasticity, Vol. 91, Issue 1-3 https://doi.org/10.1007/s10659-007-9107-3	journal	March 2008

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