A review of steady state seepage in a single fracture of rock

Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering

Volumn 28, Issue 9, 2009, Pages 1839-1847

  Xiong, Xiangbin ^a   Zhang, Chuhan ^a   Wang, Enzhi ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Experimental study; Influence factors; Numerical simulation; Rock mechanics; Single fracture; Steady state seepage

Indexed keywords

EXPERIMENTAL STUDY; INFLUENCE FACTORS; NUMERICAL SIMULATION; SINGLE FRACTURE; STEADY STATE SEEPAGE;

FLOW OF FLUIDS; FLOW SIMULATION; FLUIDS; FRACTURE; NUMERICAL METHODS; RESEARCH; ROCK MECHANICS; SEEPAGE; SIMULATORS; SYSTEMS ENGINEERING; THREE DIMENSIONAL;

MATHEMATICAL MODELS;

EID: 70349389769     PISSN: 10006915     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (59)

1. Louis C. Rock Hydraulics in Rock Mechanics[M]. New York: Springer-New Verlag, 1974.
2. Tsang C F. Coupled hydromechanical-thermochemical processes in rock fractures[J]. Reviews of Geophysics, 1991, 29(4): 537-551.
3. Huang T, Rudnicki J W. A mathematical model for seepage of deeply buried groundwater under higher pressure and temperature[J]. Journal of Hydrology, 2006, 27(3): 42-54.
4. Yates S R. An analytical solution for one-dimensional transport in heterogeneous porous media[J]. Water Resources Research, 1990, 26(10): 2331-2338.
5. Hayashi K, Jonathan W R, Hopkirk R J, et al. Numerical models of HDR geothermal reservoirs-a review of current thinking and progress[J]. Geothermics, 1999, 28(4): 507-518.
6. Tsang Y W, Tsang C F. Channel model of flow through fractured media[J]. Water Resources Research, 1987, 23(3): 467-479.
7. Jeong W, Song J. Numerical investigations for flow and transport in a rough fracture with hydromechanical effect[J]. Energy Sources, 2005, 27(11): 997-1011.
8. Koyama T, Li B, Jiang Y, et al. Numerical simulations for the effects of normal loading on particle transport in rock fractures during shear[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(8): 1403-1419.
9. Koyama T, Li B, Jiang Y, et al. Coupled shear-flow tests for rock fractures with visualization of fluid flow and their numerical simulations[J]. International Journal of Geotechnical Engineering, 2008, 2(3): 215-227.
10. Moreno L, Tsang Y W, Tsang C F, et al. Flow and tracer transport in a single fracture: stochastic model and its relation to some field observations[J]. Water Resources Research, 1988, 24(12): 33-48.
11. Koplik J, Ippolito I, Hulin J P. Tracer dispersion in rough channels: a two-dimensional numerical study[J]. Physics of Fluids A: Fluid Dynamics, 1993, 5(6): 1333-1343.
12. Romm E S. Flow Characteristics of Fractured Rocks[M]. Moscow: Nedra, 1966.
13. Ye Yuanxin, Liu Guangting. Porous seepage in calcirudite rock with 3D stresses[J]. Journal of Tsinghua University(Science and Technology), 2007, 47(3): 335-339.(in Chinese)
14. Adinbert R Z, Dil'Man V V. Semiempirical theory of turbulent transfer in the viscous sublayer[J]. Theoretical Foundations of Chemical Engineering, 1983, 17(3): 249-255.
15. Meheust Y, Schmittbuhl J. Flow enhancement of a rough fracture[J]. Geophysical Research Letters, 2000, 27(18): 2989-2992.
16. Zimmerman R W, Yaarubi A A, Pain C C, et al. Nonlinear regimes of fluid flow in rock fractures[J]. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(3): 384.
17. Chen Z, Lyons S L, Qin G. Derivation of the Forchheimer law via homogenization[J]. Transport in Porous Media, 2001, 44(2): 325-335.
18. Huang H, Ayoub J. Applicability of the Forchheimer equation for non-Darcy flow in porous media[C]// Proceedings of SPE Annual Technical Conference and Exhibition, ATCE 2006: Focus on the Future. [S.l.]: [s.n.], 2006: 2812-2825.
19. Wang Yuan. Coupling characteristic of stress and fluid flow within a single fracture[J]. Chinese Journal of Rock Mechanics and Engineering, 2002, 21(1): 83-87.(in Chinese)
20. Olssona R, Barton N. An improved model for hydromechanical coupling during shearing of rock joints[J]. International Journal of Rock Mechanics and Mining Sciences, 2001, 38(3): 317-329.
21. Esaki T, Du S, Mitani Y, et al. Development of a shear-flow test apparatus and determination of coupled properties for a single rock joint[J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(5): 641-650.
22. Yeo I W, Freitas M H D E, Zimmerman R W. Effect of shear displacement on the aperture and permeability of a rock fracture[J]. International Journal of Rock Mechanics and Mining Sciences, 1998, 35(8): 1051-1070.
23. Grassellia G, Egger P. Constitutive law for the shear strength of rock joints based on three-dimensional surface parameters[J]. International Journal of Rock Mechanics and Mining Sciences, 2003, 40(1): 25-40.
24. Liu Guangting, Ye Yuanxin, Hu Yu, et al. Study on the deformation law of calcirudite rock mass with a single fracture[J]. Journal of Hydroelectric Engineering, 2007, 26(5): 25-30.(in Chinese)
25. Zheng Shaohe, Zhao Yangsheng, Duan Kanglian. An experimental study on the permeability law of natural fracture under 3D stresses[J]. Chinese Journal of Rock Mechanics and Engineering, 1999, 18(2): 133-136.(in Chinese)
26. Zhao Yangsheng, Yang Dong, Zheng Shaohe, et al. An experimental study on the permeability law of rock fracture under 3D stresses[J]. Science in China(Ser. E), 1999, 29(1): 133-136.(in Chinese)
27. Wei Lide, Yang Chunhe, Xu Weiya. Study on constitutive model and permeable coefficient tensor of rock under tensile load with micromechanics(1): anisotropic constitutive model[J]. Rock and Soil Mechanics, 2005, 26(5): 779-783.(in Chinese)
28. Wei Lide, Yang Chunhe, Xu Weiya. Study on constitutive model and permeable coefficient tensor of rock under tensile load with micromechanics(2): anisotropic permeable coefficient tensor and example[J]. Rock and Soil Mechanics, 2005, 26(12): 241-246.(in Chinese)
29. Zhang Youtian. Rock Hydraulics and Engineering[M]. Beijing: China Water Power Press, 2005.(in Chinese)
30. Barton N. Review of a new shear strength criterion for rock joints[J]. Engineering Geology, 1973, 7(4): 287-332.
31. Barton N. Modelling Rock Joint Behaviour from in Situ Block Tests: Implications for Nuclear Waste Repository Design[R]. Columbus, OH: Office of Nuclear Waste Isolation, 1982.
32. Barton N, Choubey V. The shear strength of rock joints in theory and practice[J]. Rock Mechanics, 1997, 10(1/2): 1-54.
33. Mandelbrot B B. The Fractal of Nature[M]. New York: [s. n.], 1983.
34. Tse R, Gruden D M. Estimating Joint roughness coefficients[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics, 1979, 16(2): 303-307.
35. Wang Yuan, Su Baoyu. Research on the behavior of fluid flow in a single fracture and its equivalent hydraulic aperture[J]. Advances in Water Science, 2002, 13(1): 61-68.(in Chinese)
36. Fardin N. Influence of structural non-stationarity of surface roughness on morphological characterization and mechanical deformation of rock joints[J]. Rock Mechanics and Rock Engineering, 2008, 41(2): 267-297.
37. Uustrulid W A, Johnson G A. Rock mechanics contributions and challenges[C]// Proceedings of the 31st US Symposium on Rock Mechanics. Rotterdam: A. A. Balkema, 1990: 471-478.
38. Orey S. Gaussian sample functions and Housdorff dimensions of level crossings[J]. Wahrscheninkeits Theorie Gebiete, 1970, 15(3): 249-256.
39. Lee Y H. The fractal dimension as a measure of the roughness of rock discontinuity profiles[J]. International Journal of Rock Mechanics and Mining Sciences, 1990, 27(6): 395-404.
40. Askari M, Ahmadi M. Failure process after peak strength of artificial joints by fractal dimension[J]. Geotechnical and Geological Engineering, 2007, 25(6): 631-637.
41. Xie Heping, Pariseau W G. Estimating joint roughness coefficients(JRC) with fractal dimension[J]. Science in China(Ser. B), 1994, 24(5): 524-530.(in Chinese)
42. Jiang Y, Li B, Tanabashi Y. Estimation the relation between surface roughness and mechanical properities rock joints[J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(6): 837-846.
43. Baghbanan A, Jing L R. Stress effects on permeability in a fractured rock mass with correlated fracture length and aperture[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(8): 1320-1334.
44. Baghbanan A, Jing L R. Hydraulic properties of fractured rock masses with correlated fracture length and aperture[J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(5): 704-719.
45. Bandis S C, Lumsden A C, Barton N R. Fundamentals of rock joint deformation[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1983, 20(6): 249-268.
46. Koyama T, Neretnieks I, Jing L. A numerical study on differences in using Navier-Stokes and Reynolds equations for modeling the fluid flow and particle transport in single rock fractures with shear[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(7): 1082-1101.
47. Koyama T, Li B, Jiang Y, et al. Numerical modelling of fluid flow tests in a rock fracture with a special algorithm for contact areas[J]. Computers and Geotechnics, 2009, 36(1/2): 291-303.
48. Hakami E. Aperture distribution of rock fractures[Ph. D. Thesis][D]. Stockholm: Division of Engineering Geology, Royal Institute of Technology, 1995.
49. Li B, Jiang Y, Koyama T, et al. Experimental study of the hydro- mechanical behavior of rock joints using a parallel-plate model containing contact areas and artificial fractures[J]. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(3): 362-375.
50. Tian Kaiming, Chen Mingyou, Wang Hailin. Deflection Flow in Fractures[M]. Beijing: Academy Press, 1989.(in Chinese)
51. Indraratna B, Ranjith P G, Gale W. Single phase water flow through rock fracture[J]. Geotechnical and Geological Engineering, 1999, 17(3/4): 211-240.
52. Svenson E, Todd S, Lawrence C M. Analysis of the hydro-mechanical behavior of a flat-lying fracture during a slug test[J]. Journal of Hydrology, 2007, 347(1/2): 35-47.
53. Kettil P, Engstrom G, Wiberg N E. Coupled simulation of wave propagation and water pumping phenomenon in driven concrete piles[J]. Computers and Structures, 2007, 85(3/4): 170-178.
54. Brown S R. Simple mathematical model of a rough fracture[J]. Journal of Geophysical Research, 1995, 100(B4): 5941-5952.
55. Jeong W. A numerical study on flow and transport in a rough fracture with self-affine fractal variable apertures[J]. Energy Sources, 2008, 30(7): 606-619.
56. Zimmerman R W, Bodvarsson G S. Hydraulic conductivity of rock fractures[J]. Transport in Porous Media, 1996, 23(1): 1-30.
57. Witherspoon P A, Wang J S Y, Iwai K, et al. Validity of cubic law for fluid flow in a deformable rock fracture[J]. Water Resources Research, 1980, 6(6): 1016-1024.
58. Sourith S, Azzan A Y, Charis C P, Zimmerman R W. A simple model for deviations from the cubic law for a fracture undergoing dilation or closure[J]. Pure Application Geophysics, 2003, 160(5/6): 1009-1022.
59. Ivars D M. Water inflow into excavations in fractured rock-a three-dimensional hydro-mechanical numerical study[J]. International Journal of Rock Mechanics and Mining Sciences, 2006, 43(5): 705-725.