切向位移作用下粗糙单裂隙高速非达西渗流特性研究
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摘要
目前的粗糙单裂隙非达西渗流特性研究主要集中于隙宽、粗糙度等因素的影响,而对切向位移作用下粗糙单裂隙非达西渗流特性研究较少。对此,基于Forchheimer方程,采用Fluent数值模拟软件,模拟研究了不同切向位移及不同粗糙度对粗糙单裂隙Forchheimer特征参数的影响,进而探讨了切向位移作用下粗糙单裂隙的非达西渗流特性。结果表明,渗透率k随粗糙度、切向位移的增大而减小;非达西影响系数β随粗糙度、切向位移的增大而增大,并获得定量的关系;临界雷诺数Rec可通过β、粗糙度、切向位移间定量关系由等效水力隙宽换算求得,且随粗糙度、切向位移的增大而增大。
At present,the research on non-Darcy seepage characteristics of rough single fracture is mainly focused on the influence of fracture aperture and roughness,while the research on non-Darcy seepage characteristics of rough single fracture under tangential displacement is few.Based on Forchheimer equation and Fluent software,the non-Darcy seepage of rough single fracture under different roughnesses and tangential displacement conditions was simulated.The influence of different tangential displacement and roughnesses on Forchheimer characteristic parameters of rough single fracture was studied.And then the non-Darcy seepage characteristics of rough single fracture under tangential displacement were discussed.The results show that the permeability k decreases with the increase of roughness and tangential displacement,the non-Darcy influence coefficientβincreases with the increase of roughness and tangential displacement,and the quantitative relationship is obtained.The critical Reynolds number Reccan be calculated by the quantitative relationship amongβ,roughness and tangential displacement from the equivalent hydraulic aperture.The critical Reynolds number Recincreases with the increase of roughness and tangential displacement.
At present,the research on non-Darcy seepage characteristics of rough single fracture is mainly focused on the influence of fracture aperture and roughness,while the research on non-Darcy seepage characteristics of rough single fracture under tangential displacement is few.Based on Forchheimer equation and Fluent software,the non-Darcy seepage of rough single fracture under different roughnesses and tangential displacement conditions was simulated.The influence of different tangential displacement and roughnesses on Forchheimer characteristic parameters of rough single fracture was studied.And then the non-Darcy seepage characteristics of rough single fracture under tangential displacement were discussed.The results show that the permeability k decreases with the increase of roughness and tangential displacement,the non-Darcy influence coefficientβincreases with the increase of roughness and tangential displacement,and the quantitative relationship is obtained.The critical Reynolds number Reccan be calculated by the quantitative relationship amongβ,roughness and tangential displacement from the equivalent hydraulic aperture.The critical Reynolds number Recincreases with the increase of roughness and tangential displacement.
引文
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[2] 胡少华,周佳庆,陈益峰,等.岩石粗糙裂隙非线性渗流特性试验研究[J].地下空间与工程学报,2017,13(1):48-56.
[3] Zoorabadi M,Saydam S,Timms W,et al.Non-linearFlow Behaviour of Rough Fractures having StandardJRC Profiles[J].International Journal of Rock Me-chanics &Mining Sciences,2015,76:192-199.
[4] Li B,Jiang Y,Koyama T,et al.Experimental Studyof the Hydro-mechanical Behavior of Rock Joints U-sing a Parallel-plate Model Containing Contact Are-as and Artificial Fractures[J].International Journalof Rock Mechanics &Mining Sciences,2008,45(3):362-375.
[5] Xie L Z,Gao C,Ren L,et al.Numerical Investigationof Geometrical and Hydraulic Properties in a SingleRock Fracture during Shear Displacement with theNavier-Stokes Equations[J].Environmental EarthSciences,2015,73(11):7 061-7 074.
[6] 徐维生,柴军瑞,陈兴周,等.岩体裂隙网络非线性非立方渗流研究与应用[C]//现代水利水电工程抗震防灾研究与进展,2009.
[7] Zimmerman R W,Bodvarsson G S.Hydraulic Con-ductivity of Rock Fractures[J].Transport in PorousMedia,1996,23(1):1-30.
[8] 许凯,雷学文,孟庆山,等.非达西渗流惯性系数研究[J].岩石力学与工程学报,2012,31(1):164-170.
[9] Zeng Z,Grigg R.A Criterion for Non-Darcy Flow inPorous Media[J].Transport in Porous Media,2006,63(5):57-69.
[10]Chaudhary K,Cardenas M B,Deng W,et al.The Role ofEddies Inside Pores in the Transition from Darcy toForchheimer flows[J].Geophysical Research Letters,2011,38(24):L24405.
[11]Zimmerman R W.Al-Yaarubi A,Pain C C,et al.Non-linear Regimes of Fluid Flow in Rock Fractures[J].Int.J.Rock Mech.Min.Sci.2004,41:163-169.