考虑曲折效应的粗糙节理渗流计算新公式研究

Abstract
Figure/Table
References
Related Citation (15)

Download: PDF (385 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Uneven distribution of joint apertures mainly causes the tortuosity of flow through a rough joint. Taking two joint specimens B01 and B02 as research objects，laboratory flow tests and numerical simulations through the specimens are performed after scanning three-dimensional(3D) surface topography of joint. The tortuous streamlines of flow through a joint are derived from numerical simulations；and the tortuosity coefficient which quantitatively describes the tortuosity effect of flow through a joint is defined and calculated according to the 3D void composite topography. Then based on modified cubic law taking into account the roughness of joint surface，the new equation accounting for tortuosity effect for calculating flow volumetric rate through a joint is deduced by applying the equivalent channel model which is adopted to analyze the permeability of rock. The two constants A and B in the new equation are obtained by fitting the numerical simulation results of joint specimen B01. Then the flow rates of joint specimen B02 derived from the new equation and numerical simulations are compared with each other to validate the new equation. Furthermore，the flow volumetric rates of the two joint specimens derived from the new equation，SU Baoyu empirical method and laboratory flow experiments are compared with each other，which shows that the results obtained by the new equation agree well with experimental observations，while the SU Baoyu empirical method overestimates the flow rates，thus verifying the validity of the new equation.

Key words： rock mechanics rough rock joint Reynolds equation flow tortuosity effect tortuosity coefficient

Received: 14 July 2011

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors

Cite this article:

URL:

https://rockmech.whrsm.ac.cn/EN/Y2011/V30/I12/2416

[1] GANGI A F. Variation of whole and fractured porous rock permeability with confining pressure[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1978，15(5)：249–257. [2] KRANZ R L，FRANKEL A D，ENGELDER T，et al. The permeability of whole and jointed Barre granite[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1979，16(4)：225–234. [3] TSANG Y W，WITHERSPOON P A. Hydromechanical behavior of a deformable rock fracture subject to normal stress[J]. Journal of Geophysical Research，1981，86(B10)：9 287–9 298. [4] SCHRAUF T W，EVANS D D. Laboratory studies of gas flow through a single natural fracture[J]. Water Resources Research，1986，22(7)：1 038–1 050. [5] SNOW D T. Anisotropic permeability of fractured media[J]. Water Resources Research，1969，5(6)：1 273–1 289. [6] LOMIZE G M. Flow in fracture rocks[M]. Moscow：Gesenergoizdat，1951：127. [7] LOUIS C. A study of groundwater flow in jointed rock and its influence on stability of rock masses[R]. London：Imperial College of Science and Technology，1969. [8] LOUIS C. Rock hydraulics in rock mechanics[M]. New York：Springer-Verlag，1974：299–387. [9] 速宝玉，詹美礼，赵坚. 仿天然岩体裂隙渗流的试验研究[J]. 岩土工程学报，1995，17(5)：19–24.(SU Baoyu，ZHAN Meili，ZHAO Jian. Study of fracture seepage in the imitative nature rock[J]. Chinese Journal of Geotechnical Engineering，1995，17(5)：19–24.(in Chinese)) [10] COOK A M，MYER L R. The effect of tortuosity on flow through a natural fracture[C]// Proceedings of the 31st U.S. Symposium on Rock Mechanics：Contributions and Challenges. Golder，Colorado：[s.n.]，1990：371–378. [11] BROWN S R. Fluid flow through rock joints：the effect of surface roughness[J]. Journal of Geophysical Research，1987，92(B2)：1 337– 1 347. [12] MURATA S，SAITO T. Estimation of tortuosity of fluid flow through a single fracture[J]. Journal of Canadian Petroleum Technology，2003，42(12)：39–45. [13] TSANG Y W. The effect of tortuosity on fluid flow through a single fracture[J]. Water Resources Research，1984，20(9)：1 209–1 215. [14] MURATA S，MITSUISHI H，SAITO T. Characterization of fracture permeability by using a fractal model[C]// Proceedings of the SPE Asia Pacific Oil and Gas Conference and Exhibition. Melbourne，Australia：[s.n.]，2002：778–781. [15] 夏才初，肖维民，王伟. 不同接触状态下节理三维组合形貌的计算方法[J]. 岩石力学与工程学报，2010，29(11)：2 203–2 210.(XIA Caichu，XIAO Weimin，WANG Wei. Calculation method for 3D composite topography of joint under different contact conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(11)：2 203–2 210.(in Chinese)) [16] 肖维民，夏才初，王伟. 考虑三维形貌特征的粗糙节理渗流空腔模型研究[J]. 岩石力学与工程学报，2011，30(增2)：3 786–3 795. (XIAO Weimin，XIA Caichu，WANG Wei. Study on void model for fluid flow through joints by considering 3D topography characteristics[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(Supp.2)：3 786–3 795.(in Chinese)) [17] ZIMMERMAN R W，BODVARSSON G S. Hydraulic conductivity of rock fractures[J]. Transport in Porous Media，1996，23(1)：1–30. [18] KOYAMA T. Stress，flow and particle transport in rock fractures[Ph. D. Thesis][D]. Stockholm，Sweden：Royal Institute of Technology，2007. [19] WALSH J B，BRACE W F. The effect of pressure on porosity and the transport properties of rock[J]. Journal of Geophysical Research，1984，89(11)：9 425–9 431. [20] GE S M. A governing equation for fluid flow in rough fractures[J]. Water Resources Research，1997，33(1)：53–61. [21] WAITE M E，GE S M，SPETZLER H. A new conceptual model for fluid flow in discrete fractures：an experimental and numerical study[J]. Journal of Geophysical Research，1999，104(B6)：13 049–13 060. [22] BELEM T，HOMAND-ETIENNE F，SOULEY M. Quantitative parameters for rock joint surface roughness[J]. Rock Mechanics and Rock Engineering，2000，33(4)：217–242.