A new variational inequality formulation for unconfined seepage flow through fracture networks

Science China Technological Sciences

Volumn 55, Issue 11, 2012, Pages 3090-3101

  Jiang, Qinghui ^a   Ye, Zuyang ^a   Yao, Chi ^a   Zhou, Chuangbing ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

condition of Signorini's type; fracture network; free surface; seepage flow; variational inequality

Indexed keywords

BOUNDARY CONDITIONS; DRAINAGE; FRACTURE; NUMERICAL METHODS; SEEPAGE; VARIATIONAL TECHNIQUES;

CONDITION OF SIGNORINI'S TYPES; FRACTURE NETWORK; FREE SURFACES; SEEPAGE FLOWS; VARIATIONAL INEQUALITIES;

FLOW OF FLUIDS;

EID: 84867996783     PISSN: 16747321     EISSN: 18691900     Source Type: Journal    
DOI: 10.1007/s11431-012-4904-8     Document Type: Article

References (23)

1. Long J C S, Remer J S, Wilson C R, et al. Porous media equivalents for networks of discontinuous fractures. Water Resour Res, 1982, 18(3): 645-658
2. Oda M. An equivalent continuum model for coupled stress and fluid flow analysis in jointed rock masses. Water Resour Res, 1986, 22(13): 1845-1856
3. Wang Y, Su B Y, Xu Z Y. C Coupling seepage model of 3D fractured rock masses and finite element simulation (in Chinese). Hydrogeology Eng Geology, 19 1995, (3): 1-4
4. Tian K M, Wan L. Research and Evaluation of the Permeability of Anisotropic Fractured Media (in Chinese). Beijing: Academy Press, 1989
5. Zhang Q F, Wu Z R. The improved cut-off negative pressure method for unsteady seepage flow with free surface (in Chinese). Chinese J Geotech Eng, 2005, 127(1): 48-54
6. Zhang Y Z, Zhang W Q. 3D thermo-hydro-mechanical-migratory coupling model and FEM analyses for dual-porosity medium. Sci China Tech Sci, 2010, 53(8): 2172-2182
7. Hu R, Chen Y F, Zhou C B. Modeling of coupled deformation, water flow and gas transport in soil slopes subjected to rain infiltration. Sci China Tech Sci, 2011, 54(10): 2561-2575
8. Wittke W. Rock Mechanics-Theory and Applications with Case Histories. Berlin: Springer, 1990. 377-386
9. Wilson C R, Witherspoon P A. Steady state flow in rigid networks of fractures. Water Resour Res, 1974, 10(2): 328-335
10. Mao C X, Chen P, Li Z Y, et a1. Research on fractured rock mass seepage calculation method (in Chinese). Chinese J Geotech Eng, 1991, 13(6): 1-10
11. Wang E Z. Network analysis and seepage flow model of fractured rockmass (in Chinese). Chinese J Rock Mech Eng, 1993, 12(3): 214-221
12. Chai J R, Xu W S. Coupling analysis of unsteady seepage and stress fields in discrete fractures network of rock mass in dam foundation. Sci China Tech Sci, 2011, 54(Suppl. 1): 133-139
13. Long J C S, Gilmour P, Witherspoon P A. A method for steady fluid flow in random three-dimensional networks of disc-shaped fractures. Water Resour Res, 1985, 21(8): 1105-1115
14. Dershowitz W S, Einstein H H. Three dimensional flow modeling in jointed rock masses. In: Proceedings of the sixth international congress on rock mechanics, Rotterdam, Balkema, 1987. 87-92
15. Cacas M C, Ledoux E, Marsily de G, et al. Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation 1. The flow model. Water Resour Res, 1990, 26(3): 479-489
16. Wang E Z, Sun Y, Huang Y Z, et al. 3-D seepage flow model for discrete fracture network and verification experiment (in Chinese). Shuili Xuebao, 2002, (5): 37-40
17. Wang E Z. Seepage calculation method in fissure networks on vertical section (in Chinese). Hydrogeology Eng Geology, 1993, 20(4): 27-29
18. Chai J R, Wu Y Q. The method for determination of the position of free surface in fractured rock masses (in Chinese). Geotech Investigation Surveying, 2000, 1: 23-24
19. Zheng H, Liu D F, Lee C F, et al. A new formulation of Signorini's type for seepage problems with free surfaces. Int J Numer Meth Eng, 2005, 64: 1-16
20. Bathe K J, Khoshgoftaar M R. Finite element free surface seepage analysis without mesh iteration. Int J Numerical Analytical Methods Geomech, 1979, 3 (l): 13-22
21. Harr M E. Groundwater and Seepage. New York: Dover Publications, 1990
22. Shi G H. Discontinuous Deformation Analysis-a New Numerical Model for the Statics and Dynamics of Block System. Dissertation of Doctoral Degree. Berkeley: University of California, 1988
23. Zhang Y T, Zhou W Y. Deformation and Stability of High Rock Slope. Beijing: China Water Power Press, 1999