REV and its properties on fracture system and mechanical properties, and an orthotropic constitutive model for a jointed rock mass in a dam site in China

Kulatilake, 2011, Evaluation of rock slope stability for Yujian River Dam site by kinematic and block theory analyses, Comput Geotech, 38, 846, 10.1016/j.compgeo.2011.05.004

Bieniawski, 1978, Determining rock mass deformability: experience from case histories, Int J Rock Mech Min Sci, 15, 237, 10.1016/0148-9062(78)90956-7

Heuze, 1980, Scale effects in the determination of rock mass strength and deformability, Rock Mech, 12, 167, 10.1007/BF01251024

John KM. Civil engineering approach to evaluate strength and deformability of closely jointed rock. In: Proc. 14th US symp on rock mech, rock mechanics-theory and, practice; 1970. p. 69–80.

Brown, 1970, Strength of models of rock with intermittent joints, J Soil Mech Found Div, 96, 1935, 10.1061/JSFEAQ.0001479

Ladanyi B, Archambault G. Simulation of shear behavior of a jointed rock mass. In: Proc llth syrup on rock mechanics. AIME, New York; 1970. p. 105–25.

Einstein, 1973, Model studies on mechanics of jointed rock, J Soil Mech Found Div, 99, 229, 10.1061/JSFEAQ.0001859

Chappel, 1974, Load distribution and deformational response in discontinua, Geotechnique, 24, 641, 10.1680/geot.1974.24.4.641

Kulatilake, 2001, Experimental and numerical simulations of jointed rock block strength under uniaxial loading, ASCE J Eng Mech, 127, 1240, 10.1061/(ASCE)0733-9399(2001)127:12(1240)

Kulatilake, 2001, Physical and particle flow modeling of jointed rock block behavior under uniaxial loading, Int J Rock Mech Min Sci, 38, 641, 10.1016/S1365-1609(01)00025-9

Kulatilake, 2006, A new rock mass strength criterion for biaxial loading conditions, Int J Geotech Geol Eng, 24, 871, 10.1007/s10706-005-7465-9

Salamon, 1968, Elastic moduli of a stratified rock mass, Int J Rock Mech Min Sci, 5, 519, 10.1016/0148-9062(68)90039-9

Singh B. Continuum characterization of jointed rock masses, part 1 and part 2. Int J Rock Mech Min Sci Geomech Abstr 1973; 10: 311–43.

Morland, 1976, Elastic anisotropy of regularly jointed media, Rock Mech, 8, 35, 10.1007/BF01239718

Amadei B, Goodman RE. A 3D constitutive relation for fractured rock masses. In: Proc int symp on mechanical behavior of structured media, Ottawa, Canada; 1981.

Gerrard, 1982, Equivalent elastic moduli of a rock mass consisting of orthorhombic layers, Int J Rock Mech Min Sci Geomech Abstr, 19, 9, 10.1016/0148-9062(82)90705-7

Fossum, 1985, Effective elastic properties for a randomly jointed rock mass, Int J Rock Mech Min Sci Geomech Abstr, 22, 467, 10.1016/0148-9062(85)90011-7

Kulatilake, 1985, Estimating elastic constants and strength of discontinuous rock, J Geotech Eng, 111, 847, 10.1061/(ASCE)0733-9410(1985)111:7(847)

Goodman, 1968, A model for the mechanics of jointed rock, J Soil Mech Found Div, 94, 637, 10.1061/JSFEAQ.0001133

Kulatilake, 1993, Effect of finite size joints on the deformability of jointed rock in three dimensions, Int J Rock Mech Min Sci Geomech Abstr, 30, 479, 10.1016/0148-9062(93)92216-D

Cundall, 1988, Formulation of a three-dimensional distinct element model – Part 1. A scheme to detect and represent contacts in a system composed of many polyhedral blocks, Int J Rock Mech Min Sci Geomech Abstr, 25, 107, 10.1016/0148-9062(88)92293-0

Hart, 1988, Foundation of a three dimensional distinct element model – Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks, Int J Rock Mech Min Sci Geomech Abstr, 25, 117, 10.1016/0148-9062(88)92294-2

Pouya, 2001, Determination of rock mass strength properties by homogenization, Int J Numer Anal Methods, 25, 1285, 10.1002/nag.176

Chalhoub, 2008, Numerical homogenization of a fractured rock mass: a geometrical approach to determine the mechanical representative elementary volume, Electron J Geotech Eng, 13, 1

Cundall PA. A computer model for simulating progressive large-scale movements in blocky rock system. In: Proc symp int rock mech, vol. 2(8); 1971. p. 129.

Lemos JV, Hart RD, Cundall PA. A generalized distinct element program for modelling jointed rock mass. In: Proc symp on fundamentals of rock joints, Bjorkliden, Sweden; 1985. p. 335–43.

Kulatilake, 1992, Use of the distinct element method to perform stress analysis in rock with non-persistent joints and to study the effect of joint geometry parameters on the strength and deformability of rock masses, Rock Mech Rock Eng, 25, 253, 10.1007/BF01041807

Wang, 1993, Linking between joint geometry models and a distinct element method in three dimensions to perform stress analyses in rock masses containing finite size joints, Jpn Soc Soil Mech Found Eng, 33, 88, 10.3208/sandf1972.33.4_88

Kulatilake, 1994, Effect of finite size joints on the deformability of jointed rock at the two dimensional level, Can Geotech J, 31, 364, 10.1139/t94-044

Kulatilake, 2004, Estimation of rock mass strength and deformability in 3D for a 30m cube at a depth of 458m at Aspo Hard Rock Laboratory, Geotech Geol Eng, 22, 313, 10.1023/B:GEGE.0000025033.21994.c0

Min, 2003, Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method, Int J Rock Mech Min Sci, 40, 795, 10.1016/S1365-1609(03)00038-8

Min, 2004, Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: method and application to the field data from Sellafield, UK, Hydrogeol J, 12, 497, 10.1007/s10040-004-0331-7

Itasca Consulting Group, Inc. PFC3D-Particle flow code in 3-dimensions, version 1.1; 1995.

Esmaieli, 2010, Estimating geometrical and mechanical REV based on synthetic rock mass models at Brunswick Mine, Int J Rock Mech Min Sci, 47, 915, 10.1016/j.ijrmms.2010.05.010

Cundall PA, Pierce M, Mas Ivars D. Quantifying the size effect of rock mass strength. In: Proceeding of the first southern hemisphere international rock mechanics symposium, Perth, Western Australia; 2008. p. 3–15.

Mas Ivars D, Pierce M, De Gagne D, Darcel C. Anisotropy and scale dependency in jointed rock mass strength—a synthetic rock mass study. In: Proceedings of the first international FLAC/DEM symposium, paperno.06-01, Minneapolis, MN; 2008.

Long, 1982, Porous media equivalent for networks of discontinuous fractures, Water Resour Res, 18, 645, 10.1029/WR018i003p00645

Panda, 1999, Relations between fracture tensor parameters and permeability tensor parameters for discontinuous rock, ASCE J Eng Mech, 125, 51, 10.1061/(ASCE)0733-9399(1999)125:1(51)

Kulatilake PHSW, Panda BB. Effect of block size and joint geometry on jointed rock hydraulics and REV. ASCE J Eng Mech 2000; 126(8): 850–8.

Chen, 2008, Numerical estimation of REV and permeability tensor for fractured rock masses by composite element method, Int J Numer Anal Methods Geomech, 32, 1459, 10.1002/nag.679

Wang, 2002, Estimation of REV size and three-dimensional hydraulic conductivity tensor for a fractured rock mass through a single well packer test and discrete fracture fluid flow modeling, Int J Rock Mech Min Sci, 39, 887, 10.1016/S1365-1609(02)00067-9

Min, 2004, Stress dependent mechanical properties and bounds of Poisson’s ratio for fractured rock masses investigated by a DFN–DEM technique, Int J Rock Mech Min Sci, 41, 1, 10.1016/j.ijrmms.2003.12.072

Baghbanan, 2007, Hydraulic properties of fractured rock masses with correlated fracture length and aperture, Int J Rock Mech Min Sci, 44, 704, 10.1016/j.ijrmms.2006.11.001

Kulatilake PHSW. Software manual for FRACNTWK – a computer package to model discontinuity geometry in rock masses. Technical report submitted to Metropolitan Water District of South California (MWD); 1998.

Kulatilake, 1993, Joint network modeling including a validation to an area in Stripa mine, Sweden, Int J Rock Mech Min Sci, 30, 503, 10.1016/0148-9062(93)92217-E

Kulatilake, 1996, Discontinuity geometry characterization for the rock mass around a tunnel close to the permanent shiplock area of the Three Gorges Dam Site in China, Int J Rock Mech Min Sci, 33, 255, 10.1016/0148-9062(95)00060-7

Kulatilake, 2003, Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA, Eng Geol, 70, 131, 10.1016/S0013-7952(03)00087-5

Oda, 1982, Fabric tensor for discontinuous geological materials, Soil Mech Found, 22, 96, 10.3208/sandf1972.22.4_96

Itasca Consulting Group, Inc. 3DEC-3 dimensional distinct element code, version 4.1; 2007.

Desai, 1984

Goodman, 1989