Digital rock physics benchmarks—part II: Computing effective properties

Arns, 2002, Computation of linear elastic properties from microtomographic images: methodology and agreement between theory and experiment, Geophysics, 67, P1395, 10.1190/1.1512785 Bourbie, 1985, Hydraulic and acoustic properties as a function of porosity in Fontainebleau sandstone, Journal of Geophysical Research, 90, 11524, 10.1029/JB090iB13p11524 Cancelliere, 1990, The permeability of a random medium: comparison of simulation with theory, Physics of Fluids A, 2, 2085, 10.1063/1.857793 Chopard, 1998 1990 Dvorkin, 2011, Relevance of computational rock physics, Geophysics, 76, E141, 10.1190/geo2010-0352.1 Dvorkin, 1996, Elasticity of high-porosity sandstones: theory for two North Sea data sets, Geophysics, 61, 1363, 10.1190/1.1444059 Fredrich, 1993, Pore geometry and transport properties of Fontainebleau sandstone, International Journal of Rock Mechanics and Mineral Sciences, 30, 691, 10.1016/0148-9062(93)90007-Z Fredrich, 2006, Predicting macroscopic transport properties using microscopic image data, Journal of Geophysical Research, 111, B03201, 10.1029/2005JB003774 Garboczi, E. J., 1998, Finite element and finite difference programs for computing the linear electric and elastic properties of digital image of random materials. National Institute of Standards and Technology Interagency Report 6269. Garboczi, 1995, Modelling the influence of the interfacial zone on the D.C. electrical conductivity of mortar, Advanced Cement-Based Materials, 2, 169, 10.1016/1065-7355(95)00016-K Garboczi, 2001, Elastic moduli of a material containing composite inclusions: effective medium theory and finite element computations, Mechanics of Materials, 33, 455, 10.1016/S0167-6636(01)00067-9 Gomez, C., 2009. Reservoir characterization combining elastic velocities and electrical resistivity measurements. Ph. D. Dissertation. Stanford University, Stanford. 189pp. Guyon, 1986, Transport properties in sintered porous media composed of two particle sizes, Journal of Physics D: Applied Physics, 20, 1637, 10.1088/0022-3727/20/12/015 Han, 1986, Effect of porosity and clay content on wave velocity in sandstones, Geophysics, 51, 2093, 10.1190/1.1442062 Harlow, 1965, Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface, Physics of Fluids, 8, 2182, 10.1063/1.1761178 Kandhai, 1998, A comparison between lattice-Boltzmann and finite-element simulations of fluid flow in static mixer reactors, International Journal of Modern Physics, 9, 1123, 10.1142/S0129183198001035 Kandhai, 1999, Lattice-Boltzmann and finite-element simulations of fluid flow in a SMRX static mixer reactor, International Journal for Numerical Methods in Fluids, 31, 1019, 10.1002/(SICI)1097-0363(19991130)31:6<1019::AID-FLD915>3.0.CO;2-I Keehm, Y., 2003. Computational rock physics: Transport properties in porous media and applications. Ph.D. Dissertation. Stanford University, 135pp. Ladd, 1994, Numerical simulations of particulate suspensions via a discretized Boltzmann equation: Part 1: theoretical foundation, Journal of Fluid Mechanics, 271, 285, 10.1017/S0022112094001771 Ladd, 1994, Numerical simulations of particulate suspensions via a discretized Boltzmann equation: Part 2, Numerical results. Journal of Fluid Mechanics, 271, 311, 10.1017/S0022112094001783 Madadi, 2009, 3D imaging and simulation of elastic properties of porous materials, Computing in Science and Engineering, 11, 65, 10.1109/MCSE.2009.110 Martys, 1996, Simulation of multicomponent fluids in complex three dimensional geometries by the lattice Boltzmann method, Physical Reviews E, 53, 743, 10.1103/PhysRevE.53.743 Martys, 1999, Large scale simulations of single and multi-component flow in porous media, Proceedings of SPIE, The International Society for Optical Engineering, 3772, 205 Mavko, 2009 Meille, 2001, Linear elastic properties of 2-D and 3-D models of porous materials made from elongated objects, Modelling and Simulation in Materials Science and Engineering, 9, 371, 10.1088/0965-0393/9/5/303 Moulinec, 1998, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, 157, 69, 10.1016/S0045-7825(97)00218-1 Press, 2007 Roberts, 2002, Elastic properties of model random three-dimensional open-cell solids, Journal of the Mechanics and Physics of Solids, 50, 33, 10.1016/S0022-5096(01)00056-4 Roberts, 2002, Computation of the linear elastic properties of random porous materials with a wide variety of microstructure, Proceedings of the Royal Society of London, 458, 1033, 10.1098/rspa.2001.0900 Rothman, 1997 Saenger, 2008, Numerical methods to determine effective elastic properties, International Journal of Engineering Science, 46, 598, 10.1016/j.ijengsci.2008.01.005 Saenger, 2000, Modeling the propagation of elastic waves using a modified finite-difference grid, Wave Motion, 31, 77, 10.1016/S0165-2125(99)00023-2 Saenger, 2006, Effective elastic properties of fractured rocks: dynamic versus static considerations, International Journal of Fractures, 139, 569, 10.1007/s10704-006-0105-4 Saenger, 2011, Digital rock physics: effect of fluid viscosity on effective elastic properties, Journal of Applied Geophysics, 74, 236, 10.1016/j.jappgeo.2011.06.001 Sain, R., 2010. Numerical Simulation of pore-scale heterogeneity and its effects on elastic, electrical and transport properties. Ph.D. Dissertation. Stanford University, Stanford. 198 pp. Schwartz, 1989, Influence of rough surface on electrolytic conduction in porous media, Physical Review B, 40, 2450, 10.1103/PhysRevB.40.2450 Sen, 1981, Self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics, 46, 781, 10.1190/1.1441215 Storvoll, 2004, Sonic velocity and grain contact properties in reservoir sandstones, Petroleum Geoscience, 10, 215, 10.1144/1354-079303-598 Vanorio, 2008, The effects of chemical and physical processes on the acoustic properties of carbonate rocks, The Leading Edge, 27, 1040, 10.1190/1.2967558 Wiegmann, A., 2007. Computation of the permeability of porous materials from their microstructure by FFF-Stokes. Bericht des Fraunhofer ITWM, Nr. 129. Wiegmann, A., Zemitis, A., 2006. EJ-HEAT: A Fast Explicit Jump Harmonic Averaging Solver for the Effective Heat Conductivity of Composite Materials. Bericht des Fraunhofer ITWM, Nr. 94. Wiegmann, 2000, The explicit-jump immersed interface method: finite difference methods for PDES with piecewise smooth solutions, SIAM Journal on Numerical Analysis, 37, 827, 10.1137/S0036142997328664 Yale, D.P., 1984. Network modeling of flow, storage and deformation in porous rocks. Ph. D. Dissertation, Stanford University, Stanford, 167pp. Zeller, 1973, Elastic constants of polycrystals, Physica Status Solidi, 55, 831, 10.1002/pssb.2220550241 Zhan, 2010, Pore scale modeling of electrical and fluid transport in Berea sandstone, Geophysics, 75, F135, 10.1190/1.3463704