Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media

Barenblatt, 1960, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks (strata), J. Appl. Math. Mech. Engl. Transl., 24, 1286, 10.1016/0021-8928(60)90107-6 Bear, 1972, Dynamics of Fluids in Porous Media, 764 Behie, 1984, Incomplete factorization methods for fully implicit simulation of enhanced oil recovery, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 5, 543, 10.1137/0905040 Berkowitz, 1988, Continuum models for contaminant transport in fractured porous formations, Water Resour. Res., 24, 1225, 10.1029/WR024i008p01225 Bibby, 1981, Mass transport of solutes in dual-porosity media, Water Resour. Res., 17, 1075, 10.1029/WR017i004p01075 Cacas, 1990, Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation, 1. The flow model, Water Resour. Res., 26, 479 Celia, 1990, A general mass-conservative numerical solution for the unsaturated flow equation, Water Resour. Res., 26, 1483, 10.1029/WR026i007p01483 Cherry, 1989, Hydrogeologic contaminant behaviour in fractured and unfractured clayey deposits in Canada, 11 Coats, 1964, Dead-end pore volume and dispersion in porous media, Soc. Pet. Eng. J., 4, 73, 10.2118/647-PA Cooley, 1971, A finite difference method for unsteady flow in variably saturated porous media: Application to a single pumping well, Water Resour. Res., 7, 1607, 10.1029/WR007i006p01607 Cooley, 1983, Some new procedures for numerical solution of variably saturated flow problems, Water Resour. Res., 19, 1271, 10.1029/WR019i005p01271 Dykhuizen, 1987, Transport of solutes through unsaturated fractured media, Water Res., 21, 1531, 10.1016/0043-1354(87)90138-2 Forsyth, 1988, Comparison of the single-phase and two-phase numerical formulation for saturated-unsaturated groundwater flow, Comput. Methods Appl. Mech. Eng., 69, 243, 10.1016/0045-7825(88)90190-9 Forsyth, 1991, A control volume finite element approach to NAPL groundwater contamination, SIAM (Soc. Ind. Appl. Math.) J. Sci. Stat. Comput., 12, 1029, 10.1137/0912055 Forsyth, 1986, Practical considerations for adaptive implicit methods in reservoir simulation, J. Comput. Phys., 62, 265, 10.1016/0021-9991(86)90127-0 Forsyth, 1991, A two phase, two component model for natural convection in a porous medium, Int. J. Num. Meth. Fluids, 12, 655, 10.1002/fld.1650120705 Freeze, 1979 Frind, 1982, Simulation of long-term transient density-dependent transport in groundwater contamination problems, Adv. Water Res., 5, 73, 10.1016/0309-1708(82)90049-5 Garabedian, 1991, Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2. Analysis of spatial moments for a nonreactive tracer, Water Resour. Res., 27, 911, 10.1029/91WR00242 Harrison, 1992, Numerical analysis of solute migration through fractured deposits into underlying aquifers, Water Resour. Res., 28, 515, 10.1029/91WR02559 Huyakorn, 1983 Huyakorn, 1983, Finite element techniques for modeling groundwater flow in fractured aquifers, Water Resour. Res., 19, 1019, 10.1029/WR019i004p01019 Huyakorn, 1984, Techniques for making finite elements competitive in modeling flow in variably saturated porous media, Water Resour. Res., 20, 1099, 10.1029/WR020i008p01099 Huyakorn, 1986, A three-dimensional finite-element model for simulating water flow in variably saturated porous media, Water Resour. Res., 22, 1790, 10.1029/WR022i013p01790 Huyakorn, 1987, TRAFRAP-WT A two-dimensional finite element code for simulating fluid flow and transport of radionuclides in fractured porous media with water table boundary conditions, 72 Keller, 1986, Fracture permeability and groundwater flow in clayey till near Saskatoon, Saskatchewan, Can. Geotech. J., 23, 229, 10.1139/t86-032 Kropinski, 1990, Numerical techniques for saturated-unsaturated groundwater flow Long, 1982, Porous media equivalent for networks of discontinuous fractures, Water Resour. Res., 18, 645, 10.1029/WR018i003p00645 Mase, 1990, Hydrogeology of desiccated clays, Eos (Trans. Am. Geophys. Union), 71, 1345 McKay, 1991, Groundwater flow and contaminant transport in a fractured clay till Mendoza, 1992, Capillary pressure and relative transmissivity relationships describing two-phase flow through rough-walled fractures in geologic materials Mendoza, 1991, Hierarchical scaling of constitutive relationships controlling multi-phase flow in fractured geologic media Millington, 1959, Gas diffusion in porous media, Science, 130, 100, 10.1126/science.130.3367.100-a Milly, 1985, A mass-conservative procedure for time-stepping in models of unsaturated flow, Adv. Water Resour., 8, 32, 10.1016/0309-1708(85)90078-8 Mualem, 1976, A new model to predict the hydraulic conductivity of unsaturated porous media, Water Resour. Res., 12, 513, 10.1029/WR012i003p00513 Neretnieks, 1980, Diffusion in the rock matrix: An important factor in radionuclide retardation?, J. Geophys. Res., 85, 4379, 10.1029/JB085iB08p04379 Neuman, 1973, Saturated-unsaturated seepage by finite elements, 99, 2233 Nielsen, 1986, Water flow and solute transport processes in the unsaturated zone, Water Resour. Res., 22, 89S, 10.1029/WR022i09Sp0089S Nitao, 1991, Infiltration of a liquid front in an unsaturated, fractured porous medium, Water Resour. Res., 27, 2099, 10.1029/91WR01369 Panday, 1993, Improved three-dimensional finite element techniques for field simulation of variably saturated flow and transport, J. Contam. Hydrol., 12, 3, 10.1016/0169-7722(93)90013-I Peters, 1988, A continuum model for water movement in an unsaturated fractured rock mass, Water Resour. Res., 24, 416, 10.1029/WR024i003p00416 Pruess, 1990, On two-phase relative permeability and capillary pressure of rough-walled rock fractures, Water Resour. Res., 26, 1915, 10.1029/WR026i009p01915 Rasmussen, 1989, Fluid flow and solute transport modeling in three-dimensional networks of variably saturated discrete fractures, U.S. Nucl. Regulat. Comm., Washington, DC, Rep. NUREG/CR-5239 Reitsma, 1994, Laboratory measurement of capillary pressure-saturation relationships in a rock fracture, Water Resour. Res., 30, 865, 10.1029/93WR03451 Sammon, 1988, An analysis of upstream differencing, Soc. Pet. Eng. J. Res. Eng., 3, 1053 Schwartz, 1988, A continuum approach for modeling mass transport in fractured media, Water Resour. Res., 24, 1360, 10.1029/WR024i008p01360 Schwartz, 1983, A stochastic analysis of macroscopic dispersion in fractured media, Water Resour. Res., 19, 1253, 10.1029/WR019i005p01253 Smith, 1984, An analysis of the influence of fracture geometry on mass transport in fractured media, Water Resour. Res., 20, 1241, 10.1029/WR020i009p01241 Sudicky, 1986, A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the advection process, Water Resour. Res., 22, 2069, 10.1029/WR022i013p02069 Sudicky, 1990, The Laplace transform Galerkin technique for efficient time-continuous solution of solute transport in double-porosity media, Geoderma, 46, 209, 10.1016/0016-7061(90)90016-3 Sudicky, 1992, The Laplace transform Galerkin technique for large-scale simulation of mass transport in discretely-fractured porous formations, Water Resour. Res., 28, 499, 10.1029/91WR02560 Sudicky, 1995, A noniterative technique for the direct implementation of well-bore boundary conditions in three-dimensional heterogeneous formations, Water Resour. Res., 31, 411, 10.1029/94WR02854 Tang, 1981, Contaminant transport in fractured porous media: Analytical solution for a single fracture, Water Resour. Res., 17, 555, 10.1029/WR017i003p00555 Therrien, 1992, Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media van Genuchten, 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892, 10.2136/sssaj1980.03615995004400050002x Wang, 1985, Hydrologic mechanisms governing fluid flow in a partially saturated, fractured, porous medium, Water Resour. Res., 21, 1861, 10.1029/WR021i012p01861