Citation: | Mingyu Wang, Jinsong Chen, Li Wan. Application of Stochastic Fracture Network with Numerical Fluid Flow Simulations to Groundwater Flow Modeling in Fractured Rocks. Journal of Earth Science, 2001, 12(3): 240-248. |
The continuum approach in fluid flow modeling is generally applied to porous geological media, but has limited applicability to fractured rocks. With the presence of a discrete fracture network relatively sparsely distributed in the matrix, it may be difficult or erroneous to use a porous medium fluid flow model with continuum assumptions to describe the fluid flow in fractured rocks at small or even large field scales. A discrete fracture fluid flow approach incorporating a stochastic fracture network with numerical fluid flow simulations could have the capability of capturing fluid flow behaviors such as inhomogeneity and anisotropy while reflecting the changes of hydraulic features at different scales. Moreover, this approach can be implemented to estimate the size of the representative elementary volume (REV) in order to find out the scales at which a porous medium flow model could be applied, and then to determine the hydraulic conductivity tensor for fractured rocks. The following topics are focused on in this study: (a) conceptual discrete fracture fluid flow modeling incorporating a stochastic fracture network with numerical flow simulations; (b) estimation of REV and hydraulic conductivity tensor for fractured rocks utilizing a stochastic fracture network with numerical fluid flow simulations; (c) investigation of the effect of fracture orientation and density on the hydraulic conductivity and REV by implementing a stochastic fracture network with numerical fluid flow simulations, and (d) fluid flow conceptual models accounting for major and minor fractures in the 2 D or 3 D flow fields incorporating a stochastic fracture network with numerical fluid flow simulations.
Hsieh P A, Neuman S P, 1985. Field Determination of the Three Dimensional Hydraulic Conductivity Tensor of Anisotropic Media, 1, Theory. Water Resources Research, 21(11): 1655-1665 doi: 10.1029/WR021i011p01655 |
Hsieh P A, Neuman S P, StilesG K, et al, 1985. Field Determination of the Three Dimensional Hydraulic Conductivity Tensor of Anisotropic Media, 2, Methodology and Application to Fractured Rocks. Water Resources Research, 21(11): 1667-1676 doi: 10.1029/WR021i011p01667 |
Kanatani K, 1984. Distribution of Directional Data and Fabric Tensors. Int J Engrg Sci, 22(2): 149-164 doi: 10.1016/0020-7225(84)90090-9 |
Kulatilake P HS W, Wang M, Um J, et al, 1998. Software Package for FRACNTWK— A Computer Package to Model Discontinuity Geometry in Rock Masses. Submitted to Metropolitan Water District of Southern California, Los Angeles, CA 90071-3123, USA |
Kulatilake P H S W, Wathugala D N, Stephansson O, 1993. Joint Network Modeling with a Validation Exercise in Stripa Mine, Sweden. Int J Rock Mech Min Sci& Geomech Abstr, 30(5): 503-526 |
Oda M, 1985. Permeability Tensor for Discontinuous Rock Masses. Geotechnique, 35(4): 483-495 doi: 10.1680/geot.1985.35.4.483 |
Panda B B, Kulatilake P HS W, 1999a. Influence of Discontinuity Geometry Parameters and Transmissivity on Hydraulic Behavior of Discontinuous Rock. Jour of Engrg Mech, 125(1): 41-50 doi: 10.1061/(ASCE)0733-9399(1999)125:1(41) |
Panda B B, Kulatilake P H S W, 1999b. Relations between Fracture Tensor Parameters and Permeability Tensor Parameters for Discontinuous Rock. Jour of Engrg Mech, 125(1): 51-59 doi: 10.1061/(ASCE)0733-9399(1999)125:1(51) |
Wang M, 2000a. Investigation of Hydraulic Behaviors for Fluid Flow in Fractured Rocks Based on Fracture Geometry Parameters. EOS, American Geophysical Union, 81(48): F409 |
Wang M, 2000b. Discrete Fracture Fluid Flow Modeling and Field Applications in Fractured Rocks: [Dissertation]. Tucson, Arizona, USA: The University of Arizona. 303 |
Wang M, Kulatilake P H S W, 2000. Discrete Fracture Fluid Flow Simulation of Pumping Tests in a Fractured Rock Mass. Proceedings of the Fourth North American Mechanics Symposium. Seattle, Washington, USA: American Rock Mechanics Association. 831-839 |
Wang M, Kulatilake P H S W, Panda B, et al, 2001a. Groundwater Resources Evaluation Case Study via Fracture Fluid Flow Modeling. Int Jour of Engineering Geology, 62(4): 267-291 doi: 10.1016/S0013-7952(01)00029-1 |
Wang M, Kulatilake P HS W, Um J, 2001b. Estimation of REV Size and Three Dimensional Hydraulic Conductivity Tensor for a Rock Mass through Discrete Fracture Fluid Flow Modeling. In: Girard J, Liebman M, Breeds C, et al, eds. Proceedings of 38th U.S. Rock MechanicsSymposium. Washington DC, USA: AA Balkema/ Rotterdam/Brookfield |