메뉴 건너뛰기




Volumn 519, Issue PA, 2014, Pages 881-891

A numerical procedure for transient free surface seepage through fracture networks

Author keywords

Finite element; Fracture network; Parabolic variational inequality; Seepage; Transient free surface

Indexed keywords

SEEPAGE;

EID: 84906727120     PISSN: 00221694     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jhydrol.2014.07.066     Document Type: Article
Times cited : (55)

References (31)
  • 1
    • 33847284549 scopus 로고    scopus 로고
    • Hydraulic properties of fractured rock masses with correlated fracture length and aperture
    • Baghbanan A., Jing L. Hydraulic properties of fractured rock masses with correlated fracture length and aperture. Int. J. Rock Mech. Min. Sci. 2007, 44(5):704-719.
    • (2007) Int. J. Rock Mech. Min. Sci. , vol.44 , Issue.5 , pp. 704-719
    • Baghbanan, A.1    Jing, L.2
  • 2
    • 0036307653 scopus 로고    scopus 로고
    • A practical method for solving free-surface seepage problems
    • Bardet J.P., Tobita T. A practical method for solving free-surface seepage problems. Comput. Geotech. 2002, 29:451-475.
    • (2002) Comput. Geotech. , vol.29 , pp. 451-475
    • Bardet, J.P.1    Tobita, T.2
  • 3
    • 0036704681 scopus 로고    scopus 로고
    • Characterizing flow and transport in fractured geological media: a review
    • Berkowitz B. Characterizing flow and transport in fractured geological media: a review. Adv. Water Resour. 2002, 25:861-884.
    • (2002) Adv. Water Resour. , vol.25 , pp. 861-884
    • Berkowitz, B.1
  • 4
    • 0026186848 scopus 로고
    • On the solution of elliptic free boundary problems via Newton's method
    • Borja R.I., Kishnani S.S. On the solution of elliptic free boundary problems via Newton's method. Comput. Methods Appl. Mech. Eng. 1991, 88:341-361.
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.88 , pp. 341-361
    • Borja, R.I.1    Kishnani, S.S.2
  • 5
    • 0001500776 scopus 로고
    • Sur une nouvelle formulation due proble`me de l'ecoulement a travers une digue
    • Brezis H., Kinderlehrer D., Stampacchia G. Sur une nouvelle formulation due proble`me de l'ecoulement a travers une digue. C. R. Acad. Sci. Paris Ser. A 1978, 287:711-714.
    • (1978) C. R. Acad. Sci. Paris Ser. A , vol.287 , pp. 711-714
    • Brezis, H.1    Kinderlehrer, D.2    Stampacchia, G.3
  • 6
    • 0025591480 scopus 로고
    • Modeling fracture flow with a stochastic discrete fracture network: calibration and validation 1. The flow model
    • Cacas M.C., Ledoux E., Marsily G.de, Tillie B., Barbreau A., Durand E., Feuga B., Peaudecerf P. Modeling fracture flow with a stochastic discrete fracture network: calibration and validation 1. The flow model. Water Resour. Res. 1990, 26(3):479-489.
    • (1990) Water Resour. Res. , vol.26 , Issue.3 , pp. 479-489
    • Cacas, M.C.1    Ledoux, E.2    Marsily, G.3    Tillie, B.4    Barbreau, A.5    Durand, E.6    Feuga, B.7    Peaudecerf, P.8
  • 7
    • 42649090466 scopus 로고    scopus 로고
    • A numerical solution to seepage problems with complex drainage systems
    • Chen Y.F., Zhou C.B., Zheng H. A numerical solution to seepage problems with complex drainage systems. Comput. Geotech. 2008, 35(3):383-393.
    • (2008) Comput. Geotech. , vol.35 , Issue.3 , pp. 383-393
    • Chen, Y.F.1    Zhou, C.B.2    Zheng, H.3
  • 8
    • 79958813518 scopus 로고    scopus 로고
    • A new parabolic variational inequality formulation of Signorini's condition for non-steady seepage problems with complex seepage control systems
    • Chen Y.F., Hu R., Zhou C.B., Li D.Q., Rong G. A new parabolic variational inequality formulation of Signorini's condition for non-steady seepage problems with complex seepage control systems. Int. J. Numer. Anal. Methods Geomech. 2011, 35:1034-1058.
    • (2011) Int. J. Numer. Anal. Methods Geomech. , vol.35 , pp. 1034-1058
    • Chen, Y.F.1    Hu, R.2    Zhou, C.B.3    Li, D.Q.4    Rong, G.5
  • 9
    • 0032876851 scopus 로고    scopus 로고
    • Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method
    • Dershowitz W.S., Fidelibus C. Derivation of equivalent pipe network analogues for three-dimensional discrete fracture networks by the boundary element method. Water Resour. Res. 1999, 35(9):2685-2691.
    • (1999) Water Resour. Res. , vol.35 , Issue.9 , pp. 2685-2691
    • Dershowitz, W.S.1    Fidelibus, C.2
  • 10
    • 84906765603 scopus 로고
    • Development of phreatic surfaces in earth embankments
    • Water and Power Resources Services, Denver, Colorado.
    • Desai, C.S., Kuppusamy, T., 1980. Development of phreatic surfaces in earth embankments. Report No. VPI-E-80.22, to Water and Power Resources Services, Denver, Colorado.
    • (1980)
    • Desai, C.S.1    Kuppusamy, T.2
  • 11
    • 0020506229 scopus 로고
    • A numerical procedure for three-dimensional transient free surface seepage
    • Desai C.S., Lightner J.G., Somasundaram S. A numerical procedure for three-dimensional transient free surface seepage. Adv. Water Resour. 1983, 6:175-181.
    • (1983) Adv. Water Resour. , vol.6 , pp. 175-181
    • Desai, C.S.1    Lightner, J.G.2    Somasundaram, S.3
  • 12
    • 0020245503 scopus 로고
    • Approaches to evaluating the permeability and porosity of fractured rock masses
    • Proc. U.S. Symp. Rock Mech. 23rd
    • Doe, T.W., Long, J.C.S., Endo, H.K., Wilson, C.R., 1982. Approaches to evaluating the permeability and porosity of fractured rock masses. Proc. U.S. Symp. Rock Mech. 23rd, pp. 30-38.
    • (1982) , pp. 30-38
    • Doe, T.W.1    Long, J.C.S.2    Endo, H.K.3    Wilson, C.R.4
  • 13
    • 0022913679 scopus 로고
    • A model to evaluate the transient hydraulic response of three-dimensional sparsely fractured rockmasses
    • Elsworth D. A model to evaluate the transient hydraulic response of three-dimensional sparsely fractured rockmasses. Water Resour. Res. 1986, 22(13):1809-1819.
    • (1986) Water Resour. Res. , vol.22 , Issue.13 , pp. 1809-1819
    • Elsworth, D.1
  • 14
    • 0027873328 scopus 로고
    • Study of transient flow in hard fractured rocks with a discrete fracture network model
    • Ezzedine S., Marsily G.D. Study of transient flow in hard fractured rocks with a discrete fracture network model. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1993, 30(7):1605-1609.
    • (1993) Int. J. Rock Mech. Min. Sci. Geomech. Abstr. , vol.30 , Issue.7 , pp. 1605-1609
    • Ezzedine, S.1    Marsily, G.D.2
  • 15
    • 77955624542 scopus 로고    scopus 로고
    • Stochastic simulation of non-Gaussian 3D conductivity fields in a fractured medium with multiple statistical populations: case study
    • Llopis-Albert C., Capilla J.E. Stochastic simulation of non-Gaussian 3D conductivity fields in a fractured medium with multiple statistical populations: case study. J. Hydrol. Eng. 2010, 15(7):1943-5584.
    • (2010) J. Hydrol. Eng. , vol.15 , Issue.7 , pp. 1943-5584
    • Llopis-Albert, C.1    Capilla, J.E.2
  • 16
    • 12944314763 scopus 로고    scopus 로고
    • Application of modified EP method in steady seepage analysis
    • Ji C., Wang Y.Z., Shi Y. Application of modified EP method in steady seepage analysis. Comput. Geotech. 2005, 32:27-35.
    • (2005) Comput. Geotech. , vol.32 , pp. 27-35
    • Ji, C.1    Wang, Y.Z.2    Shi, Y.3
  • 17
    • 84876549445 scopus 로고    scopus 로고
    • Seepage flow with free surface in fracture networks
    • Jiang Q.H., Yao C., Ye Z.Y., Zhou C.B. Seepage flow with free surface in fracture networks. Water Resour. Res. 2013, 49(1):176-186.
    • (2013) Water Resour. Res. , vol.49 , Issue.1 , pp. 176-186
    • Jiang, Q.H.1    Yao, C.2    Ye, Z.Y.3    Zhou, C.B.4
  • 18
    • 84876161738 scopus 로고    scopus 로고
    • Application of NEM in seepage analysis with a free surface
    • Jie Y.X., Liu L.Z., Xua W.J., Li G.X. Application of NEM in seepage analysis with a free surface. Math. Comput. Simul. 2013, 89:23-37.
    • (2013) Math. Comput. Simul. , vol.89 , pp. 23-37
    • Jie, Y.X.1    Liu, L.Z.2    Xua, W.J.3    Li, G.X.4
  • 20
    • 0035301285 scopus 로고    scopus 로고
    • Modeling of fluid flow and solid deformation for fractured rocks with discontinuous deformation analysis (DDA) method
    • Jing L., Ma Y., Fang Z. Modeling of fluid flow and solid deformation for fractured rocks with discontinuous deformation analysis (DDA) method. Int. J. Rock Mechods Min. Sci. 2001, 38(3):343-355.
    • (2001) Int. J. Rock Mechods Min. Sci. , vol.38 , Issue.3 , pp. 343-355
    • Jing, L.1    Ma, Y.2    Fang, Z.3
  • 21
    • 0023453068 scopus 로고
    • Flow through porous media: a procedure for locating the free surface
    • Lacy S.J., Prevost J.H. Flow through porous media: a procedure for locating the free surface. Int. J. Numer. Anal. Methods Geomech. 1987, 11:585-601.
    • (1987) Int. J. Numer. Anal. Methods Geomech. , vol.11 , pp. 585-601
    • Lacy, S.J.1    Prevost, J.H.2
  • 22
    • 0001191369 scopus 로고
    • The relationship of the degree of interconnection to permeability in fracture networks
    • Long J.C.S., Witherspoon P.A. The relationship of the degree of interconnection to permeability in fracture networks. J. Geophys. Res. 1985, 90(B4):3087-3098.
    • (1985) J. Geophys. Res. , vol.90 , pp. 3087-3098
    • Long, J.C.S.1    Witherspoon, P.A.2
  • 23
    • 0036761519 scopus 로고    scopus 로고
    • A note on unsaturated flow in two-dimensional fracture networks
    • Liu H.H., Bodvarsson G.S., Finsterle S. A note on unsaturated flow in two-dimensional fracture networks. Water Resour. Res. 2002, 38(9):1176. 10.1029/2001WR000977.
    • (2002) Water Resour. Res. , vol.38 , Issue.9 , pp. 1176
    • Liu, H.H.1    Bodvarsson, G.S.2    Finsterle, S.3
  • 24
    • 4344673745 scopus 로고    scopus 로고
    • Stress-dependent permeability of fractured rock masses: a numerical study
    • Min K.B., Rutqvist J., Tsang C.F., Jing L. Stress-dependent permeability of fractured rock masses: a numerical study. Int. J. Rock Mech. Min. Sci. 2004, 41(7):1191-1210.
    • (2004) Int. J. Rock Mech. Min. Sci. , vol.41 , Issue.7 , pp. 1191-1210
    • Min, K.B.1    Rutqvist, J.2    Tsang, C.F.3    Jing, L.4
  • 25
    • 0035423584 scopus 로고    scopus 로고
    • On a few properties of solutions of nonlinear parabolic variational inequalities
    • Nagase H. On a few properties of solutions of nonlinear parabolic variational inequalities. Nonlinear Anal. 2001, 47:1659-1669.
    • (2001) Nonlinear Anal. , vol.47 , pp. 1659-1669
    • Nagase, H.1
  • 26
    • 0019216230 scopus 로고
    • Recent advances: theory of variational inequalities with applications to problems of flow through porous media
    • Oden J.T., Kikuchi N. Recent advances: theory of variational inequalities with applications to problems of flow through porous media. Int. J. Eng. Sci. 1980, 18:1173-1284.
    • (1980) Int. J. Eng. Sci. , vol.18 , pp. 1173-1284
    • Oden, J.T.1    Kikuchi, N.2
  • 27
    • 0027847488 scopus 로고
    • Equivalent properties of a jointed Boit material
    • Pariseau W.G. Equivalent properties of a jointed Boit material. Int. J. Rock Mech. Min. Sci. Geomech. 1993, 30:1151-1157.
    • (1993) Int. J. Rock Mech. Min. Sci. Geomech. , vol.30 , pp. 1151-1157
    • Pariseau, W.G.1
  • 28
    • 85035336939 scopus 로고
    • Hydraulic and mechanical properties of natural fractures in low permeability Rock
    • Balkema, Rotterdam, G. Herget, S. Vongpaisal (Eds.)
    • Pyrak-Nolte L.J., Myer L.R., Cook N.G.W., Witherspoon P.A. Hydraulic and mechanical properties of natural fractures in low permeability Rock. Proc. Sixth Int. Congr. Rock Mech. 1987, 225-231. Balkema, Rotterdam. G. Herget, S. Vongpaisal (Eds.).
    • (1987) Proc. Sixth Int. Congr. Rock Mech. , pp. 225-231
    • Pyrak-Nolte, L.J.1    Myer, L.R.2    Cook, N.G.W.3    Witherspoon, P.A.4
  • 30
    • 24944507815 scopus 로고    scopus 로고
    • A new formulation of Signorini's type for seepage problems with free surfaces
    • Zheng H., Liu D.F., Lee C.F., Tham L.G. A new formulation of Signorini's type for seepage problems with free surfaces. Int. J. Numer. Methods Eng. 2005, 64:1-16.
    • (2005) Int. J. Numer. Methods Eng. , vol.64 , pp. 1-16
    • Zheng, H.1    Liu, D.F.2    Lee, C.F.3    Tham, L.G.4
  • 31
    • 0029280261 scopus 로고
    • An iterative method for the discrete problems of class of elliptical variational inequalities
    • Zheng T.S., Li L., Xu Q.Y. An iterative method for the discrete problems of class of elliptical variational inequalities. Appl. Math. Mech. 1995, 16(4):351-358.
    • (1995) Appl. Math. Mech. , vol.16 , Issue.4 , pp. 351-358
    • Zheng, T.S.1    Li, L.2    Xu, Q.Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.