一种裂隙-连续介质的耦合渗流计算方法
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摘要
目前单独的孔隙介质(如土体)一般采用基于达西定律的连续介质渗流理论进行渗流分析,单独的裂隙介质(如岩体)多用基于立方定律的离散裂隙网络模型进行渗流分析。对于既有孔隙介质,又有裂隙介质的渗流区域,并没有形成一个整体的分析方法。针对裂隙岩基上修筑土石坝这种特殊渗流区域,对岩体裂隙区域和土体孔隙区域采取不同的渗流理论,通过交界区节点水头一致性条件,形成耦合整体渗透矩阵,建立了裂隙-连续介质耦合渗流计算方法,编制了裂隙-连续介质耦合渗流分析程序并进行了算例和工程验证,为裂隙与连续介质的耦合渗流计算提供了新的解决方法。
At present,the seepage analysis of porous media( such as soil) is generally based on Darcy's law,and fracture media( such as rock) often uses the discrete fracture network model which is based on cubic law to conduct the seepage analysis. For the seepage area having both porous media and fracture media,an overall analysis method still need to be developed. This paper applies the different seepage theories suited to the porous media and fracture media respectively for the special seepage area of rock-filled dam built on the fractured rock foundation. By the consistency condition of the junction head node,coupling integral penetration matrix is derived,and in this way the coupled fracture-continuous media seepage calculation method is developed. A coupled seepage analysis program for fracture-continuous medium is coded and verified by an example and engineering case. The study provides a new solution for the calculation of coupled seepage flow between fractures and continuous media.
At present,the seepage analysis of porous media( such as soil) is generally based on Darcy's law,and fracture media( such as rock) often uses the discrete fracture network model which is based on cubic law to conduct the seepage analysis. For the seepage area having both porous media and fracture media,an overall analysis method still need to be developed. This paper applies the different seepage theories suited to the porous media and fracture media respectively for the special seepage area of rock-filled dam built on the fractured rock foundation. By the consistency condition of the junction head node,coupling integral penetration matrix is derived,and in this way the coupled fracture-continuous media seepage calculation method is developed. A coupled seepage analysis program for fracture-continuous medium is coded and verified by an example and engineering case. The study provides a new solution for the calculation of coupled seepage flow between fractures and continuous media.
引文
[1]Snow D T.Anisotropie permeability of fractured media[J].Water Resources Research,2010,5(6):1273-1289.
[2]Long J C S,Remer J S,Wilson C R,et al.Porous media equivalents for networks of discontinuous fractures[J].Water Resources Research,1982,18(3):645-658.
[3]Oda M.An equivalent continuum model for coupled stress and fluid flow analysis in jointed rock masses[J].Water Resources Research,1986,22(13):1845-1856.
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[9]王洪涛,王恩志.各向异性裂隙岩体渗透系数计算方法探讨[J].武汉大学学报(工学版),1997(2):49-53.
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[11]何杨.岩体离散裂隙网络非稳定渗流场与应力场耦合分析[D].西安:西安理工大学,2007.
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[14]柴军瑞,仵彦卿.岩体多重裂隙网络渗流模型研究[J].煤田地质与勘探,2000,28(2):33-36.
[15]王月英,姚军,黄朝琴.裂隙岩体流动模型综述[J].东北石油大学学报,2011,35(5):42-48.
[16]张奇华,徐威,殷佳霞.二维任意裂隙网络裂隙-孔隙渗流模型的两种解法[J].岩石力学与工程学报,2012,31(2):217-227.
[17]胡井友,吴龙梁,闫茂林,等.基于非饱和流固耦合理论的某尾矿坝渗流与稳定性分析[J].水利与建筑工程学报,2015,13(4):126-129.
[18]徐建国,于松聆,王刚,等.基于流固耦合理论的隧道围岩稳定性分析[J].水利与建筑工程学报,2018,16(4):62-67.
[19]仵彦卿.岩体水力学基础(五)---岩体渗流场与应力场耦合的裂隙网络模型[J].水文地质工程地质,1997(5):43-47.
[20]仵彦卿.岩体水力学基础(二)---岩体水力学的基础理论[J].水文地质工程地质,1997(1):24-28.
[2]Long J C S,Remer J S,Wilson C R,et al.Porous media equivalents for networks of discontinuous fractures[J].Water Resources Research,1982,18(3):645-658.
[3]Oda M.An equivalent continuum model for coupled stress and fluid flow analysis in jointed rock masses[J].Water Resources Research,1986,22(13):1845-1856.
[4]张有天.裂隙岩体渗流数学模型研究现况[J].人民长江,1991,22(3):1-10.
[5]田开铭,万力.各向异性裂隙介质渗透性的研究与评价[M].北京:学苑出版社,1989.
[6]田开铭.论裂隙岩石的水文地质模型---以国外学者的模型为例[J].勘察科学技术,1984(4):29-36.
[7]Wittke W.Rock Mechanics,Theory and Applications with Case Histories[M].Springer-Verlag,1990.
[8]Wilson C R,Witherspoon P A.Steady state flow in rigid networks of fractures[J].Water Resources Research,1974,10(2):328-335.
[9]王洪涛,王恩志.各向异性裂隙岩体渗透系数计算方法探讨[J].武汉大学学报(工学版),1997(2):49-53.
[10]万力,李定方,李吉庆.三维裂隙网络的多边形单元渗流模型[J].水利水运工程学报,1993(4):347-353.
[11]何杨.岩体离散裂隙网络非稳定渗流场与应力场耦合分析[D].西安:西安理工大学,2007.
[12]周志芳.裂隙介质水动力学[M].北京:中国水利水电出版社,2004.
[13]柴军瑞,仵彦卿.岩体渗流场与应力场耦合分析的多重裂隙网络模型[J].岩石力学与工程学报,2000,19(6):712-717.
[14]柴军瑞,仵彦卿.岩体多重裂隙网络渗流模型研究[J].煤田地质与勘探,2000,28(2):33-36.
[15]王月英,姚军,黄朝琴.裂隙岩体流动模型综述[J].东北石油大学学报,2011,35(5):42-48.
[16]张奇华,徐威,殷佳霞.二维任意裂隙网络裂隙-孔隙渗流模型的两种解法[J].岩石力学与工程学报,2012,31(2):217-227.
[17]胡井友,吴龙梁,闫茂林,等.基于非饱和流固耦合理论的某尾矿坝渗流与稳定性分析[J].水利与建筑工程学报,2015,13(4):126-129.
[18]徐建国,于松聆,王刚,等.基于流固耦合理论的隧道围岩稳定性分析[J].水利与建筑工程学报,2018,16(4):62-67.
[19]仵彦卿.岩体水力学基础(五)---岩体渗流场与应力场耦合的裂隙网络模型[J].水文地质工程地质,1997(5):43-47.
[20]仵彦卿.岩体水力学基础(二)---岩体水力学的基础理论[J].水文地质工程地质,1997(1):24-28.