[1] 钟建华, 刘圣鑫, 马寅生, 等. 页岩宏观破裂模式与微观破裂机理[J]. 石油勘探与开发, 2015, 42(2): 242-250.
ZHONG Jianhua, LIU Shengxin, MA Yinsheng, et al. Macro-fracture mode and micro-fracture mechanism of shale[J]. Petroleum Exploration and Development, 2015, 42(2): 242-250.
[2] WITHERSPOON P A, WANG J S, IWAI K, et al. Validity of cubic law for fluid flow in a deformable rock fracture[J]. Water Resources Research, 1980, 16(6): 1016-1024.
[3] BROWN S R. Fluid flow through rock joints: The effect of surface roughness[J]. Journal of Geophysical Research, 1987, 92(B2): 1337-1347.
[4] BROWN S R, BRUHN R L. Fluid permeability of deformable fracture networks[J]. Journal of Geophysical Research, 1998, 103(B2): 2489-2500.
[5] THOMPSON M E, BROWN S R. The effect of anisotropic surface roughness on flow and transport in fractures[J]. Journal of Geophysical Research, 1991, 96(B13): 923-932.
[6] BROWN S R. Transport of fluid and electric current through a single fracture[J]. Journal of Geophysical Research, 1989, 94(B7): 9429-9438.
[7] LOMIZE G M. Water flow through jointed rock[M]. Moscow: Gesenergoizdat, 1951.
[8] LOUIS C A. A study of groundwater flow in jointed rock and its influence on the stability of rock masses[J]. Rock Mechanics Research Report, 1969, 2(10): 10-15.
[9] 速宝玉, 詹美礼, 赵坚. 仿天然岩体裂隙渗流的实验研究[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.
[10] 肖维民, 夏才初, 王伟, 等. 考虑曲折效应的粗糙节理渗流计算新公式研究[J]. 岩石力学与工程学报, 2011, 12(30): 2416-2425.
XIAO Weimin, XIA Caichu, WANG Wei, et al. Study of a new equation for fluid flow through a single rough joint considering tortuosity effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 12(30): 2416-2425.
[11] ZHANG Zhenyu, NEMCIK J, QIAO Qiuqiu, et al. A model for water flow through rock fractures based on friction factor[J]. Rock Mechanics and Rock Engineering, 2015, 48(2): 559-571.
[12] ZHANG Z, NEMCIK J. Friction factor of water flow through rough rock fractures[J]. Rock Mechanics and Rock Engineering, 2013, 46(5): 1125-1134.
[13] ROSE W, BRUCE W A. Evaluation of capillary character in petroleum reservoirs rock[J]. AIME Transactions, 1949, 186(2): 127-142.
[14] NAZRIDOUST K, AHMADI G, SMITH D H. A new friction factor correlation for laminar, single-phase flows through rock fractures[J]. Journal of Hydrology, 2006, 329(1): 315-328.
[15] TSANG Y W. The effect of tortuosity on fluid flow through a single fracture[J]. Water Resources Research, 1984, 20(9): 1209-1215.
[16] BROWN M, CARLSON W D, DENISON C. Topology of syntectonic melt flow network in the deep crust: Inferences from three dimensional images of leucosome geometry in migmatites[J]. American Mineralogist, 1999, 84(12): 1793-1818.
[17] DULLIEN A F. Porous media: Fluid transport and pore structure[M]. San Diego: Academic Press, 1992.
[18] PETFORD N, KOENDERS M A. Consolidation phenomena in sheared granitic magma: Effects of grain size and tortuosity[J]. Physics and Chemistry of the Earth, 2001, 26(4): 281-286.
[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(B11): 9425-9431.
[20] 程万, 金衍, 陈勉, 等. 三维空间中水力裂缝穿透天然裂缝的判别准则[J]. 石油勘探与开发, 2014, 41(3): 336-340.
CHENG Wan, JIN Yan, CHEN Mian, et al. A criterion for identifying hydraulic fractures crossing natural fractures in 3D space[J]. Petroleum Exploration and Development, 2014, 41(3): 336-340.
[1] GE J, GHASSEMI A. Stimulated reservoir volume by hydraulic fracturing in naturally fractured shale gas reservoirs[R]. ARMA12-468, 2012.
[2] WU Kan, OLSON J E. Mechanics analysis of interaction between hydraulic and natural fractures in shale reservoirs[R]. SPE 1922946, 2014.
[3] 张程宾, 陈永平, 施明恒, 等. 表面粗糙度的分形特征及其对微通道内层流流动的影响[J]. 物理学报, 2009, 58(10): 7050-7056.
ZHANG Chengbin, CHEN Yongping, SHI Mingheng, et al. Fractal characteristics of surface roughness and its effect on laminar flow in microchannels[J]. Acta Physica Sinica, 2009, 58(10): 7050-7056.
[4] 鞠杨, 张钦刚, 杨永明, 等. 岩体粗糙单裂隙流体渗流机制的实验研究[J]. 中国科学(技术科学), 2013, 43(10): 1144-1154.
JU Yang, ZHANG Qin’gang, YANG Yongming, et al. An experimental investigation on the mechanism of fluid flow through single fracture of rock[J]. Scientia Sinica Technologica, 2013, 43(10): 1144-1154.
[5] BELEM T, HOMAND-ETIENNE F. Quantitative parameters for rock joint surface roughness[J]. Rock Mechanics and Rock Engineering, 2000, 33(4): 217-242.
[6] TATONE B S A, GRASSELI G. An investigation of discontinuity roughness scale dependency using high-resolution surface measurements[J]. Rock Mechanics and Rock Engineering, 2014, 46(4): 657-681.
[7] 陈军斌, 肖述琴, 李璗, 等. 油气井压裂后效果评价的系统聚类分析方法[J]. 天然气工业, 2004, 24(10): 56-58.
CHEN Junbin, XIAO Shuqin, LI Dang, et al. Systematic cluster analysis method of evaluating oil/gas well postfracture response[J]. Natural Gas Industry, 2004, 24(10): 56-58.
[8] PARSONS R W. Permeability of idealized fractured rock[R]. SPE1289, 1966.
[9] NELSON R A. Geological analysis of naturally fractured reservoirs[M]. Boston: Gulf Professional Publishing, 2001.
[10] 何雅玲, 王勇, 李庆, 等. 格子Boltzmann方法的理论与应用[M]. 北京: 科学出版社, 2009.
HE Yaling, WANG Yong, LI Qing, et al. Lattice Boltzmann method: Theory and applications[M]. Beijing: Science Press, 2009.
[11] 郭照立, 郑楚光. 格子Boltzmann方法的原理及应用[M]. 北京: 科学出版社, 2009.
GUO Zhaoli, ZHENG Chuguang. Theory and applications of Lattice Boltzmann method[M]. Beijing: Science Press, 2009.
[12] QIAN Y H. Lattice BGK models for Navier-Stokes Equation[J]. Europhysics Letters, 1992, 17(6): 479-484.
[13] 宁正福, 王波, 杨峰, 等. 页岩储集层微观渗流的微尺度效应[J]. 石油勘探与开发, 2014, 41(4): 445-452.
NING Zhengfu, WANG Bo, YANG Feng, et al. Microscale effect of microvadose in shale reservoirs[J]. Petroleum Exploration and Development, 2014, 41(4): 445-452.
[14] 袁恩熙. 工程流体力学[M]. 北京: 石油工业出版社, 2010.
YUAN Enxi. Engineering fluid mechanics[M]. Beijing: Petroleum Industry Press, 2010.