Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability

Li, Weixin; Zhou, Xinwei; Carey, J. William; Frash, Luke P.; Cusatis, Gianluca

doi:10.1007/s00603-018-1625-8

Title: Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability

Journal Article · 24 October 2018 · Rock Mechanics and Rock Engineering

DOI: https://doi.org/10.1007/s00603-018-1625-8 · OSTI ID:1525825

^[1]; Zhou, Xinwei ^[2];

^[3];

^[1]

Northwestern Univ., Evanston, IL (United States)
ES3, San Diego, CA (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

A three-dimensional multiphysics lattice discrete particle model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the material and simulates coupled mechanical and flow behavior. The mechanical lattice model simulates the granular internal structure of shale, and describes heterogeneous deformation by means of discrete compatibility and equilibrium equations. The network of flow lattice elements constitutes a dual graph of the mechanical lattice system. A discrete formulation of mass balance for the flow elements is presented to model fluid flow along cracks and intact materials. The overall computational framework is implemented with a mixed explicit–implicit integration scheme and a staggered coupling method that makes use of the dual lattice topology enabling the seamless two-way coupling of the mechanical and flow behaviors. The proposed model is used for the computational analysis of shale fracture permeability behavior by simulating triaxial direct shear tests on Marcellus shale specimens under various confining pressures. The simulated mechanical response is calibrated against the experimental data, and the predicted permeability values are also compared with the experimental measurements. Moreover, the paper presents the scaling analysis of both the mechanical response and permeability measurements based on simulations performed on geometrically similar specimens with increasing size. The simulated stress strain curves reflect a significant size effect in the post-peak due to the presence of localized fractures. The scaling analysis of permeability measurements enables prediction of permeability for large specimens by extrapolating the numerical results of small ones.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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

Grant/Contract Number:: 89233218CNA000001; AC52-06NA25396

OSTI ID:: 1525825

Report Number(s):: LA-UR--18-22183

Journal Information:: Rock Mechanics and Rock Engineering, Journal Name: Rock Mechanics and Rock Engineering Journal Issue: 12 Vol. 51; ISSN 0723-2632

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

References (78)

Hygro-thermo-chemical modeling of high-performance concrete. II: Numerical implementation, calibration, and validation Di Luzio, Giovanni; Cusatis, Gianluca Cement and Concrete Composites, Vol. 31, Issue 5 https://doi.org/10.1016/j.cemconcomp.2009.02.016	journal	May 2009
A lattice discrete particle model for pressure-dependent inelasticity in granular rocks Esna Ashari, S.; Buscarnera, G.; Cusatis, G. International Journal of Rock Mechanics and Mining Sciences, Vol. 91 https://doi.org/10.1016/j.ijrmms.2016.10.007	journal	January 2017
High-stress triaxial direct-shear fracturing of Utica shale and in situ X-ray microtomography with permeability measurement: SHALE FRACTURE, μCT, AND PERMEABILITY Frash, Luke P.; Carey, J. William; Lei, Zhou Journal of Geophysical Research: Solid Earth, Vol. 121, Issue 7 https://doi.org/10.1002/2016JB012850	journal	July 2016
Fully Coupled Nonlinear Fluid Flow and Poroelasticity in Arbitrarily Fractured Porous Media: A Hybrid-Dimensional Computational Model: Poromechanics of Fractured Media Jin, L.; Zoback, M. D. Journal of Geophysical Research: Solid Earth, Vol. 122, Issue 10 https://doi.org/10.1002/2017JB014892	journal	October 2017
Pore-scale modeling of fluid-particles interaction and emerging poromechanical effects: PORE-SCALE MODELING OF FLUID-PARTICLES INTERACTION Catalano, E.; Chareyre, B.; Barthélémy, E. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 38, Issue 1 https://doi.org/10.1002/nag.2198	journal	June 2013
A multiscale framework for the simulation of the anisotropic mechanical behavior of shale: A MULTISCALE DISCRETE APPROACH TO ANISOTROPIC MECHANICAL BEHAVIOR OF SHALE Li, Weixin; Rezakhani, Roozbeh; Jin, Congrui International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 41, Issue 14 https://doi.org/10.1002/nag.2684	journal	February 2017
Capturing the two-way hydromechanical coupling effect on fluid-driven fracture in a dual-graph lattice beam model: Capturing the two-way hydromechanical coupling effect on fluid-driven fracture in a dual-graph lattice beam model Ulven, Ole Ivar; Sun, WaiChing International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 42, Issue 5 https://doi.org/10.1002/nag.2763	journal	December 2017
Hydraulic conductivity of rock fractures Zimmerman, RobertW.; Bodvarsson, GudmundurS. Transport in Porous Media, Vol. 23, Issue 1 https://doi.org/10.1007/BF00145263	journal	April 1996
Evaluating the Poroelastic Effect on Anisotropic, Organic-Rich, Mudstone Systems Suarez-Rivera, Roberto; Fjær, Erling Rock Mechanics and Rock Engineering, Vol. 46, Issue 3 https://doi.org/10.1007/s00603-013-0374-y	journal	March 2013
Size Effect Analysis for the Characterization of Marcellus Shale Quasi-brittle Fracture Properties Li, Weixin; Jin, Zhefei; Cusatis, Gianluca Rock Mechanics and Rock Engineering, Vol. 52, Issue 1 https://doi.org/10.1007/s00603-018-1570-6	journal	August 2018
Fundamentals of Poroelasticity Detournay, E.; Cheng, Alexander H. -D Analysis and Design Methods: Principles, Practice and Projects https://doi.org/10.1016/B978-0-08-040615-2.50011-3	book	January 1993
Fracture analyses using spring networks with random geometry Bolander, J. E.; Saito, S. Engineering Fracture Mechanics, Vol. 61, Issue 5-6 https://doi.org/10.1016/S0013-7944(98)00069-1	journal	November 1998
Effect of shear displacement on the aperture and permeability of a rock fracture Yeo, I. W.; de Freitas, M. H.; Zimmerman, R. W. International Journal of Rock Mechanics and Mining Sciences, Vol. 35, Issue 8 https://doi.org/10.1016/S0148-9062(98)00165-X	journal	December 1998
Stress-dependent permeability of a de-mineralised fracture in shale Gutierrez, M.; Øino, L. E.; Nygård, R. Marine and Petroleum Geology, Vol. 17, Issue 8 https://doi.org/10.1016/S0264-8172(00)00027-1	journal	September 2000
Hydro-mechanical model for wetting/drying and fracture development in geomaterials Asahina, D.; Houseworth, J. E.; Birkholzer, J. T. Computers & Geosciences, Vol. 65 https://doi.org/10.1016/j.cageo.2013.12.009	journal	April 2014
TOUGH–RBSN simulator for hydraulic fracture propagation within fractured media: Model validations against laboratory experiments Kim, Kunhwi; Rutqvist, Jonny; Nakagawa, Seiji Computers & Geosciences, Vol. 108 https://doi.org/10.1016/j.cageo.2017.05.011	journal	November 2017
Simulation of shrinkage induced cracking in cement composite overlays Bolander, John E.; Berton, Stefano Cement and Concrete Composites, Vol. 26, Issue 7 https://doi.org/10.1016/j.cemconcomp.2003.04.001	journal	October 2004
Hygro-thermo-chemical modeling of high-performance concrete. II: Numerical implementation, calibration, and validation Di Luzio, Giovanni; Cusatis, Gianluca Cement and Concrete Composites, Vol. 31, Issue 5 https://doi.org/10.1016/j.cemconcomp.2009.02.016	journal	May 2009
Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. II: Calibration and validation Cusatis, Gianluca; Mencarelli, Andrea; Pelessone, Daniele Cement and Concrete Composites, Vol. 33, Issue 9 https://doi.org/10.1016/j.cemconcomp.2011.02.010	journal	October 2011
Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. I: Theory Cusatis, Gianluca; Pelessone, Daniele; Mencarelli, Andrea Cement and Concrete Composites, Vol. 33, Issue 9 https://doi.org/10.1016/j.cemconcomp.2011.02.011	journal	October 2011
Intense fracturing and fracture sealing induced by mineral growth in porous rocks Noiriel, Catherine; Renard, François; Doan, Mai-Linh Chemical Geology, Vol. 269, Issue 3-4 https://doi.org/10.1016/j.chemgeo.2009.09.018	journal	January 2010
A new open-source software developed for numerical simulations using discrete modeling methods Kozicki, J.; Donzé, F. V. Computer Methods in Applied Mechanics and Engineering, Vol. 197, Issue 49-50 https://doi.org/10.1016/j.cma.2008.05.023	journal	September 2008
Discrete element model for the analysis of fluid-saturated fractured poro-plastic medium based on sharp crack representation with embedded strong discontinuities Nikolic, Mijo; Ibrahimbegovic, Adnan; Miscevic, Predrag Computer Methods in Applied Mechanics and Engineering, Vol. 298 https://doi.org/10.1016/j.cma.2015.10.009	journal	January 2016
A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain Wang, Kun; Sun, WaiChing Computer Methods in Applied Mechanics and Engineering, Vol. 304 https://doi.org/10.1016/j.cma.2016.02.020	journal	June 2016
Coupled phase-field and plasticity modeling of geological materials: From brittle fracture to ductile flow Choo, Jinhyun; Sun, WaiChing Computer Methods in Applied Mechanics and Engineering, Vol. 330 https://doi.org/10.1016/j.cma.2017.10.009	journal	March 2018
Numerical simulation of drained triaxial test using 3D discrete element modeling Belheine, N.; Plassiard, J. -P.; Donzé, F. -V. Computers and Geotechnics, Vol. 36, Issue 1-2 https://doi.org/10.1016/j.compgeo.2008.02.003	journal	January 2009
A three-phase XFEM model for hydraulic fracturing with cohesive crack propagation Salimzadeh, Saeed; Khalili, Nasser Computers and Geotechnics, Vol. 69 https://doi.org/10.1016/j.compgeo.2015.05.001	journal	September 2015
Shales at all scales: Exploring coupled processes in mudrocks Ilgen, Anastasia G.; Heath, Jason E.; Akkutlu, I. Yucel Earth-Science Reviews, Vol. 166 https://doi.org/10.1016/j.earscirev.2016.12.013	journal	March 2017
Cohesive crack analysis of size effect Cusatis, Gianluca; Schauffert, Edward A. Engineering Fracture Mechanics, Vol. 76, Issue 14 https://doi.org/10.1016/j.engfracmech.2009.06.008	journal	September 2009
Discontinuous Cell Method (DCM) for the simulation of cohesive fracture and fragmentation of continuous media Cusatis, Gianluca; Rezakhani, Roozbeh; Schauffert, Edward A. Engineering Fracture Mechanics, Vol. 170 https://doi.org/10.1016/j.engfracmech.2016.11.026	journal	February 2017
An extended finite element method for hydraulic fracture propagation in deformable porous media with the cohesive crack model Mohammadnejad, T.; Khoei, A. R. Finite Elements in Analysis and Design, Vol. 73 https://doi.org/10.1016/j.finel.2013.05.005	journal	October 2013
Dissolution and deformation in fractured carbonates caused by flow of CO2-rich brine under reservoir conditions Elkhoury, Jean E.; Ameli, Pasha; Detwiler, Russell L. International Journal of Greenhouse Gas Control, Vol. 16 https://doi.org/10.1016/j.ijggc.2013.02.023	journal	June 2013
Caprock integrity susceptibility to permeable fracture creation Frash, Luke P.; Carey, J. William; Ickes, Timothy International Journal of Greenhouse Gas Control, Vol. 64 https://doi.org/10.1016/j.ijggc.2017.06.010	journal	September 2017
Discrete modeling of ultra-high-performance concrete with application to projectile penetration Smith, Jovanca; Cusatis, Gianluca; Pelessone, Daniele International Journal of Impact Engineering, Vol. 65 https://doi.org/10.1016/j.ijimpeng.2013.10.008	journal	March 2014
Fluid–particle flow simulations using two-way-coupled mesoscale SPH–DEM and validation Robinson, Martin; Ramaioli, Marco; Luding, Stefan International Journal of Multiphase Flow, Vol. 59 https://doi.org/10.1016/j.ijmultiphaseflow.2013.11.003	journal	February 2014
A bonded-particle model for rock Potyondy, D. O.; Cundall, P. A. International Journal of Rock Mechanics and Mining Sciences, Vol. 41, Issue 8, p. 1329-1364 https://doi.org/10.1016/j.ijrmms.2004.09.011	journal	December 2004
Analysis of thermally induced changes in fractured rock permeability during 8 years of heating and cooling at the Yucca Mountain Drift Scale Test Rutqvist, J.; Freifeld, B.; Min, K. -B. International Journal of Rock Mechanics and Mining Sciences, Vol. 45, Issue 8 https://doi.org/10.1016/j.ijrmms.2008.01.016	journal	December 2008
Investigation of damage-induced permeability of Opalinus clay Jobmann, M.; Wilsnack, Th.; Voigt, H. -D. International Journal of Rock Mechanics and Mining Sciences, Vol. 47, Issue 2 https://doi.org/10.1016/j.ijrmms.2009.11.009	journal	February 2010
A lattice discrete particle model for pressure-dependent inelasticity in granular rocks Esna Ashari, S.; Buscarnera, G.; Cusatis, G. International Journal of Rock Mechanics and Mining Sciences, Vol. 91 https://doi.org/10.1016/j.ijrmms.2016.10.007	journal	January 2017
Anisotropic elastic, strength, and fracture properties of Marcellus shale Jin, Zhefei; Li, Weixin; Jin, Congrui International Journal of Rock Mechanics and Mining Sciences, Vol. 109 https://doi.org/10.1016/j.ijrmms.2018.06.009	journal	September 2018
On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture Grassl, P.; Fahy, C.; Gallipoli, D. Journal of the Mechanics and Physics of Solids, Vol. 75 https://doi.org/10.1016/j.jmps.2014.11.011	journal	February 2015
Minimization principles for the coupled problem of Darcy–Biot-type fluid transport in porous media linked to phase field modeling of fracture Miehe, Christian; Mauthe, Steffen; Teichtmeister, Stephan Journal of the Mechanics and Physics of Solids, Vol. 82 https://doi.org/10.1016/j.jmps.2015.04.006	journal	September 2015
Asymptotic expansion homogenization of discrete fine-scale models with rotational degrees of freedom for the simulation of quasi-brittle materials Rezakhani, Roozbeh; Cusatis, Gianluca Journal of the Mechanics and Physics of Solids, Vol. 88 https://doi.org/10.1016/j.jmps.2016.01.001	journal	March 2016
Spherocylindrical microplane constitutive model for shale and other anisotropic rocks Li, Cunbao; Caner, Ferhun C.; Chau, Viet T. Journal of the Mechanics and Physics of Solids, Vol. 103 https://doi.org/10.1016/j.jmps.2017.03.006	journal	June 2017
Experimental study of permeability characteristics for the cemented natural fractures of the shale gas formation Zhou, Tong; Zhang, Shicheng; Feng, Yin Journal of Natural Gas Science and Engineering, Vol. 29 https://doi.org/10.1016/j.jngse.2016.01.005	journal	February 2016
Fracture-permeability behavior of shale Carey, J. William; Lei, Zhou; Rougier, Esteban Journal of Unconventional Oil and Gas Resources, Vol. 11 https://doi.org/10.1016/j.juogr.2015.04.003	journal	September 2015
Brittle–ductile transition, shear failure and leakage in shales and mudrocks Nygård, Runar; Gutierrez, Marte; Bratli, Rolf K. Marine and Petroleum Geology, Vol. 23, Issue 2 https://doi.org/10.1016/j.marpetgeo.2005.10.001	journal	February 2006
Microscopic fracture characterization of gas shale via scratch testing Akono, Ange-Therese; Kabir, Pooyan Mechanics Research Communications, Vol. 78 https://doi.org/10.1016/j.mechrescom.2015.12.003	journal	December 2016
Permeability of macro-cracked argillite under confinement: Gas and water testing Davy, Catherine A.; Skoczylas, F.; Barnichon, J. -D. Physics and Chemistry of the Earth, Parts A/B/C, Vol. 32, Issue 8-14 https://doi.org/10.1016/j.pce.2006.02.055	journal	January 2007
Impact of Nanoporosity on Hydrocarbon Transport in Shales’ Organic Matter Obliger, Amaël; Ulm, Franz-Josef; Pellenq, Roland Nano Letters, Vol. 18, Issue 2 https://doi.org/10.1021/acs.nanolett.7b04079	journal	January 2018
Permeability alteration due to mineral dissolution in partially saturated fractures Detwiler, Russell L. Journal of Geophysical Research, Vol. 115, Issue B9 https://doi.org/10.1029/2009JB007206	journal	January 2010
Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents Rice, James R.; Cleary, Michael P. Reviews of Geophysics, Vol. 14, Issue 2 https://doi.org/10.1029/RG014i002p00227	journal	January 1976
Validity of Cubic Law for fluid flow in a deformable rock fracture Witherspoon, P. A.; Wang, J. S. Y.; Iwai, K. Water Resources Research, Vol. 16, Issue 6 https://doi.org/10.1029/WR016i006p01016	journal	December 1980
Subcontinuum mass transport of condensed hydrocarbons in nanoporous media Falk, Kerstin; Coasne, Benoit; Pellenq, Roland Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7949	journal	April 2015
Size Effect in Blunt Fracture: Concrete, Rock, Metal Bažant, Zdeněk P. Journal of Engineering Mechanics, Vol. 110, Issue 4 https://doi.org/10.1061/(ASCE)0733-9399(1984)110:4(518)	journal	April 1984
Confinement-Shear Lattice Model for Concrete Damage in Tension and Compression: I. Theory Cusatis, Gianluca; Bažant, Zdeněk P.; Cedolin, Luigi Journal of Engineering Mechanics, Vol. 129, Issue 12 https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1439)	journal	December 2003
Confinement-Shear Lattice Model for Concrete Damage in Tension and Compression: II. Computation and Validation Cusatis, Gianluca; Bažant, Zdeněk P.; Cedolin, Luigi Journal of Engineering Mechanics, Vol. 129, Issue 12 https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1449)	journal	December 2003
High-Order Microplane Theory for Quasi-Brittle Materials with Multiple Characteristic Lengths Cusatis, Gianluca; Zhou, Xinwei Journal of Engineering Mechanics, Vol. 140, Issue 7 https://doi.org/10.1061/(ASCE)EM.1943-7889.0000747	journal	July 2014
Sustainability of Fractured Rock Permeability under Varying Pressure Kluge, C.; Blöcher, G.; Milsch, H. Sixth Biot Conference on Poromechanics, Poromechanics VI https://doi.org/10.1061/9780784480779.148	conference	July 2017
Computational Analysis of the Fracture-Permeability Behavior of Shale Li, Weixin; Bousikhane, Faysal; Carey, J. William Sixth Biot Conference on Poromechanics, Poromechanics VI https://doi.org/10.1061/9780784480779.149	conference	July 2017
General Theory of Three‐Dimensional Consolidation Biot, Maurice A. Journal of Applied Physics, Vol. 12, Issue 2 https://doi.org/10.1063/1.1712886	journal	February 1941
Growth model for large branched three-dimensional hydraulic crack system in gas or oil shale Chau, Viet T.; Bažant, Zdeněk P.; Su, Yewang Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, Issue 2078 https://doi.org/10.1098/rsta.2015.0418	journal	October 2016
Understanding hydraulic fracturing: a multi-scale problem Hyman, J. D.; Jiménez-Martínez, J.; Viswanathan, H. S. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 374, Issue 2078 https://doi.org/10.1098/rsta.2015.0426	journal	October 2016
Elastic Microplane Formulation for Transversely Isotropic Materials Jin, Congrui; Salviato, Marco; Li, Weixin Journal of Applied Mechanics, Vol. 84, Issue 1 https://doi.org/10.1115/1.4034658	journal	October 2016
A Phase-Field Method for Propagating Fluid-Filled Fractures Coupled to a Surrounding Porous Medium Mikelić, Andro; Wheeler, Mary F.; Wick, Thomas Multiscale Modeling & Simulation, Vol. 13, Issue 1 https://doi.org/10.1137/140967118	journal	January 2015
A discrete numerical model for granular assemblies Cundall, P. A.; Strack, O. D. L. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.47	journal	March 1979
Porosity and Permeability of Eastern Devonian Gas Shale Soeder, D. J. SPE Formation Evaluation, Vol. 3, Issue 01 https://doi.org/10.2118/15213-PA	journal	March 1988
Pressure-Dependent Natural-Fracture Permeability in Shale and Its Effect on Shale-Gas Well Production Cho, Younki; Ozkan, Erdal; Apaydin, Osman G. SPE Reservoir Evaluation & Engineering, Vol. 16, Issue 02 https://doi.org/10.2118/159801-PA	journal	May 2013
Pressure-Dependent Natural-Fracture Permeability in Shale and its Effect on Shale-Gas Well Production Cho, Y. .; Apaydin, O. G.; Ozkan, E. . SPE Annual Technical Conference and Exhibition, All Days https://doi.org/10.2118/159801-ms	conference	October 2012
Laboratory Measurement of Hydraulic Fracture Conductivities in the Barnett Shale Kamenov, Anton; Zhu, Ding; Hill, Alfred Daniel SPE Hydraulic Fracturing Technology Conference https://doi.org/10.2118/163839-ms	conference	February 2013
Laboratory Measurement of Hydraulic Fracture Conductivities in the Barnett Shale Zhang, Junjing; Kamenov, Anton; Zhu, D. International Petroleum Technology Conference https://doi.org/10.2523/IPTC-16444-MS	conference	March 2013
Three-Dimensional Network Model for Coupling of Fracture and Mass Transport in Quasi-Brittle Geomaterials Grassl, Peter; Bolander, John Materials, Vol. 9, Issue 9 https://doi.org/10.3390/ma9090782	journal	September 2016
On a 2D hydro-mechanical lattice approach for modelling hydraulic fracture Grassl, Peter; Fahy, Caroline; Gallipoli, Domenico arXiv https://doi.org/10.48550/arxiv.1411.7901	text	January 2014
Three-Dimensional Network Model for Coupling~of~Fracture and Mass Transport in Quasi-Brittle Geomaterials Grassl, Peter; Bolander, John arXiv https://doi.org/10.48550/arxiv.1510.05184	text	January 2015
Elastic Microplane Formulation for Transversely Isotropic Materials Jin, Congrui; Salviato, Marco; Li, Weixin arXiv https://doi.org/10.48550/arxiv.1608.03904	text	January 2016
Discontinuous Cell Method (DCM) for the Simulation of Cohesive Fracture and Fragmentation of Continuous Media Cusatis, Gianluca; Rezakhani, Roozbeh; Schauffert, Edward A. arXiv https://doi.org/10.48550/arxiv.1608.06893	preprint	January 2016
A semi-implicit discrete-continuum coupling method for porous media based on the effective stress principle at finite strain Wang, Kun; Sun, WaiChing Columbia University https://doi.org/10.7916/d8057g97	text	January 2016
Capturing the two-way hydromechanical coupling effect on fluid-driven fracture in a dual-graph lattice beam model Ulven, Ole Ivar; Sun, WaiChing Columbia University https://doi.org/10.7916/d8zp5drb	text	January 2017

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58 GEOSCIENCES
Dual lattice
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Hydro-mechanical coupling
Lattice discrete particle model
Triaxial direct shear

Title: Multiphysics Lattice Discrete Particle Modeling (M-LDPM) for the Simulation of Shale Fracture Permeability

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