三维任意裂隙网络渗流模型及其解法  

THREE-DIMENSIONAL ARBITRARY FRACTURE NETWORK SEEPAGE MODEL AND ITS SOLUTION

作　　者：张奇华[1] 邬爱清[1] 

机构地区：[1]长江科学院水利部岩土力学与工程重点实验室,湖北武汉430010

出　　处：《岩石力学与工程学报》2010年第4期720-730,共11页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家自然科学基金重点项目(50639090);长江科学院中央级公益性科研院所科研业务费项目(CKSF2010017)

摘　　要：首先,分析三维裂隙网络渗流分析模型需解决的2个关键问题,即如何获得结构面网络相交形成的裂隙渗流通道、如何计算二维任意形态区域的渗流问题。采用全空间块体搜索(三维块体切割)技术,得到封闭块体的边界就是渗流通道,块体边界的连接关系就是渗流有限元计算节点的连接关系;块体边界的裂隙面(或临空面)由不同形态、不同数量的回路构成,将每个回路上的渗流考虑为二维连续介质渗流,在面的局部坐标系下,通过单纯形积分解决任意形态回路上的渗流问题。然后,根据计算节点连接关系,形成总体渗流矩阵和渗流控制方程后就可实现三维任意结构面网络渗流计算。最后,采用算例对理论分析过程和计算程序进行检验,并将三维结构面网络渗流分析结果应用到块体系统渐进失稳分析中。For the three-dimensional arbitrary fracture network seepage model,it is necessary to solve two key problems,i.e.how to get the seepage paths cutting by 3D arbitrary fracture networks,and how to analyze the seepage of two-dimensional arbitrary-shaped zone.All enclosed blocks cutting by arbitrary fractures can be searched by spatial block identification（3D block cutting） method.The boundaries of all blocks form the seepage paths.So the relationships of calculating nodes of seepage FEM can be determined by the connection relationships of the blocks＇ boundaries.On the other hand,block boundaries formed by fractures or openings are composed of closed loops with all kinds of shapes.The seepage occurring in the loops can be treated as 2D continuum seepage in the fracture＇s local coordinate system,and it can be solved by simplex integration even though the shapes of loops may be arbitrary.Then,according to the relationships of calculating nodes,the total seepage matrix and functions can be obtained;and the seepage calculation can be completed.At last,some cases are analyzed to check the theoretical schemes and calculating programs.The results of 3D fracture network seepage are applied to the block system for progressive failure analysis.

关 键 词：岩石力学 裂隙岩体渗流 三维裂隙网络渗流 全空间块体搜索 三维块体切割 单纯形积分 

分 类 号：TU45[建筑科学—岩土工程]