裂隙岩体非稳定渗流的复合单元算法

doi:10.13722/j.cnki.jrme.2015.01.006

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摘要针对裂隙岩体渗流非连续、非均质和各向异性的特点，提出裂隙岩体非稳定渗流的复合单元算法，给出详细的计算格式和数值处理的关键技术，包括复合单元的前处理、求解自由面边界流量项的积分方法以及溢出边界的判断准则。该算法的特点是：(1) 可准确地离散岩体内任意分布的裂隙；(2) 可考虑岩块的渗透性及其与裂隙间的水量交换；(3) 可与传统有限单元计算程序无缝整合；(4) 复合单元的拓扑信息由裂隙面和常规有限单元的交切计算生成，由于事先未考虑裂隙的存在，极大地减轻了人工剖分网格的工作量；(5) 对裂隙岩体非稳定渗流过程中裂隙与岩块渗流不同步的现象具有较强的描述能力，并能提供近似于有限单元法的计算精度。通过典型砂槽试验验证了该算法的正确性和有效性。最后，对裂隙岩体进行非稳定渗流分析，计算结果很好地反映了岩体内水压力的传递过程，实现了对裂隙与岩块因水力特性不同而导致的不同于整体流向的局部流动的模拟。

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关键词 ：岩石力学, 裂隙岩体, 非稳定渗流, 复合单元法, 渗流不同步

Abstract：An algorithm of composite element for calculating the unsteady seepage in fractured rock masses was established according to the hydraulic properties of fractured rock masses including the discontinuity，the heterogeneity and the anisotropy. The pre-process of composite element，the method to calculate the integral over free surface boundary and the judging criterion of overflow boundary，etc. were presented. The features of the algorithm are as follows：(1) It can simulate arbitrary distributed fractures exactly. (2) The permeability of intact rock and the flow exchange between rock blocks and fractures are considered. (3) It can be integrated into conventional finite element method easily. (4) The topological information of composite elements is obtained by the calculation of intersection and incision between fractures and the finite elements. In this way，the mesh generation is not restricted by fractures and is considerably simplified. (5) The phenomenon that seepage in rock blocks and in fractures are out of sync can be simulated by using the algorithm which provides the same precision of calculation as finite element method. The validity of the algorithm was verified by a typical seepage test. Finally，the algorithm was applied to calculate the unsteady seepage behaviours in fractured rock masses and to reveal the process of pressure transfer. The calculated results show that the direction of local flow is different from the general one，which is due to the different hydraulic properties of fractures and rock blocks.

Key words： rock mechanics fractured rock masses unsteady seepage composite element method seepage asynchrony

收稿日期: 2014-01-09

引用本文:

侯晓萍，徐青，何吉，陈胜宏. 裂隙岩体非稳定渗流的复合单元算法[J]. 岩石力学与工程学报, 2015, 34(01): 48-56.
HOU Xiaoping，XU Qing，HE Ji，CHEN Shenghong. COMPOSITE ELEMENT ALGORITHM FOR UNSTEADY SEEPAGE IN FRACTURED ROCK MASSES. , 2015, 34(01): 48-56.

链接本文:

https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2015.01.006 或 https://rockmech.whrsm.ac.cn/CN/Y2015/V34/I01/48

[1]	倪绍虎，何世海，汪小刚，等. 裂隙岩体水力学特性研究[J]. 岩石力学与工程学报，2012，31(3)：488-498.(NI Shaohu，HE Shihai，WANG Xiaogang，et al. Hydraulic properties of fractured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(3)：488-498.(in Chinese))
[2]	胡冉，陈益峰，周创兵，等. 非稳定渗流问题的变分不等式方法及工程应用[J]. 水动力学研究与进展：A辑，2011，26(2)：239-251.(HU Ran，CHEN Yifeng，ZHOU Chuangbing，et al. A variational inequality approach for non-steady seepage problems and its application in engineering practices[J]. Chinese Journal of Hydrodynamics：Ser. A，2011，26(2)：239-251.(in Chinese)) " target="_blank">
[3]	张有天. 岩石水力学[M]. 北京：中国水利水电出版社，2005：93-160.(ZHANG Youtian. Rock hydraulics[M]. Beijing：China Water Power Press，2005：93-160.(in Chinese)) " target="_blank">
[4]	宋晓晨，徐卫亚. 裂隙岩体渗流概念模型研究[J]. 岩土力学，2004，25(2)：226-232.(SONG Xiaochen，XU Weiya. A study on conceptual models of fluid flow in fractured rock[J]. Rock and Soil Mechanics，2004，25(2)：226-232.(in Chinese)) " target="_blank">
[5]	王恩志. 岩体裂隙的网络分析及渗流模型[J]. 岩石力学与工程学报，1993，12(3)：214-221.(WANG Enzhi. Network analysis and seepage flow model of fractured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，1993，12(3)：214-221.(in Chinese))
[6]	叶祖洋，姜清辉，姚池，等. 三维裂隙网络非稳定渗流分析的变分不等式方法[J]. 力学学报，2013，45(6)：878-887.(YE Zuyang，JIANG Qinghui，YAO Chi，et al. A variational inequality approach for non-steady seepage flow through three-dimensional fracture network[J]. Chinese Journal of Theoretical Applied Mechanics，2013，45(6)：878-887.(in Chinese))
[7]	王洪涛，聂永丰，李雨松. 耦合岩体主干裂隙和网络状裂隙渗流分析及应用[J]. 清华大学学报：自然科学版，1998，38(12)：23-26.(WANG Hongtao，NIE Yongfeng，LI Yusong. Flow analysis by coupling dominant fracture and network fracture systems and its application[J]. Journal of Tsinghua University：Science and Technology，1998，38(12)：23-26.(in Chinese)) " target="_blank">
[8]	CHEN S H，EGGER P，MIGLIAZZA R，et al. Three-dimensional composite element modeling of hollow bolt in rock masses[C]// Proceedings of the ISRM International Symposium on Rock Engineering for Mountainous Regions—Eurock?2002. Madeira，Portugal：[s. n.]，2002：25-28. " target="_blank">
[9]	CHEN S H，HE Z G，EGGER P. Study of hollow friction bolts in rock by a three dimensional composite element method[C]// Proceedings of the 10th Congress of the ISRM—Technology Roadmap for Rock Mechanics. South Africa：[s. n.]，2003：203-206. " target="_blank">
[10]	CHEN S H，QIANG S. Composite element model for discontinuous rock masses[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(7)：865-870. " target="_blank">
[11]	CHEN S H，FENG X M. Composite element model for rock mass seepage flow[J]. Journal of Hydrodynamics，2006，18(2)：219-224. " target="_blank">
[12]	陈胜宏. 计算岩体力学与工程[M]. 北京：中国水利水电出版社，2006：465-510.(CHEN Shenghong. Computational rock mechanics and engineering[M]. Beijing：China Water Power Press，2006：465-510.(in Chinese)) " target="_blank">
[13]	毛昶熙. 渗流计算分析与控制[M]. 北京：中国水利水电出版社，2003：13-20.(MAO Changxi. Seepage computation analysis and control[M]. Beijing：China Water Power Press，2003：13-20.(in Chinese)) " target="_blank">
[14]	冯学敏. 裂隙岩体渗流场及其渗透特性的复合单元法研究[博士学位论文][D]. 武汉：武汉大学，2006.(FENG Xuemin. Study on the composite element method for the seepage field and characteristics of the fractured rock masses[Ph. D. Thesis][D]. Wuhan：Wuhan University，2006.(in Chinese)) " target="_blank">
[15]	张有天，陈平，王镭. 有自由面渗流分析的初流量法[J]. 水利学报，1988，(8)：18-26.(ZHANG Youtian，CHEN Ping，WANG Lei. Initial flow method for seepage analysis with free surface[J]. Journal of Hydraulic Engineering，1988，(8)：18-26.(in Chinese)) " target="_blank">
[16]	王媛. 求解有自由面渗流问题的初流量法的改进[J]. 水利学报，1998，(3)：68-73.(WANG Yuan. The modified initial flow method for 3D unconfined seepage computation[J]. Journal of Hydraulic Engineering，1998，(3)：68-73.(in Chinese)) " target="_blank">
[17]	王永翔. 三维饱和非稳定渗流场的有限元模拟及工程应用[硕士学位论文][D]. 武汉：武汉大学，2012.(WANG Yongxiang. Numerical simulation of 3D saturated unsteady seepage field based on finite element method and its engineering application[M. S. Thesis][D]. Wuhan：Wuhan University，2012.(in Chinese)) " target="_blank">
[18]	郑桂兰，王媛，裴利华. 三维非恒定渗流自由面边界积分项的高精度数值积分[J]. 水科学进展，2008，19(1)：123-128.(ZHENG Guilan，WANG Yuan，PEI Lihua. High precision numerical integral on free surface boundary of 3D unsteady seepage problem[J]. Advances in Water Science，2008，19(1)：123-128.(in Chinese))
[19]	赤井浩一，大西有三，西垣誠. 有限要素法による飽和-不飽和浸透流の解析[J]. 土質工学会論文報告集，1977，19(1)：87-96. " target="_blank">
[20]	顾慰慈. 渗流计算原理及应用[M]. 北京：中国建材工业出版社，2000：171-179.(GU Weici. Seepage calculation principle and application[M]. Beijing：China Building Industry Press，2000：171-179.(in Chinese)) " target="_blank">
[21]	冯学敏，陈胜宏. 含复杂裂隙网络岩体渗流特性研究的复合单元法[J]. 岩石力学与工程学报，2006，25(5)：918-924.(FENG Xuemin，CHEN Shenghong. Composite element method for seepage characteristics study on rock masses with complicated fracture network[J]. Chinese Journal of Rock Mechanics and Engineering，2006，25(5)：918-924.(in Chinese))