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岩体裂隙中渗流场有限元随机模拟分析
引用本文:李守巨,刘迎曦,冯文文,霍趁方.岩体裂隙中渗流场有限元随机模拟分析[J].岩土力学,2009,30(7):2119-2125.
作者姓名:李守巨  刘迎曦  冯文文  霍趁方
作者单位:大连理工大学,工业装备结构分析国家重点实验室,大连,116024
基金项目:国家自然科学基金,国家重点基础研究发展规划(973计划) 
摘    要:采用有限元方法数值,模拟了开度随机分布裂隙中的渗流场问题。根据给定的裂隙开度均值和标准差,随机分布生成有限元模型中的单元裂隙开度,模型中的材料参数和单元属性用ANSYS中的APDL参数化语言赋值。根据有限元随机模拟断面的流量分布和稳态渗流问题的达西定律,计算在不同裂隙开度标准差条件下的等效导水系数,研究等效导水系数与裂隙粗糙度之间的关系。数值模拟结果表明,与光滑平直的裂隙相对比,在裂隙平均开度为常数、开度随机正态分布的条件下,表面粗糙裂隙的等效导水系数略有降低;对于裂隙平均开度为0.5 mm的裂隙模型,裂隙开度标准差从0.01 mm变化到 0.2 mm,其等效导水系数变化小于5 %。传统的渗流控制方程无法精确描述地下水在粗糙裂隙中的流动特征,因为在压力水头的定义中忽略了速度项。

关 键 词:等效导水系数  裂隙开度  正态分布  APDL参数化语言  有限元模拟
收稿时间:2008-01-04

Randomly numerical simulation of water flow field in fractured rock mass with finite element method
LI Shou-ju,LIU Ying-xi,FENG Wen-wen,HUO Chen-fang.Randomly numerical simulation of water flow field in fractured rock mass with finite element method[J].Rock and Soil Mechanics,2009,30(7):2119-2125.
Authors:LI Shou-ju  LIU Ying-xi  FENG Wen-wen  HUO Chen-fang
Institution:State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China
Abstract:The water flow problem in fractured rock mass, in which the fracture aperture is distributed randomly, is simulated by using finite element method. The fracture apertures of model elements are generated randomly according to the average value and standard deviation of fracture aperture; and material parameters and element properties are changed by ANSYS parameter design language. The equivalent transmissivity of fracture is computed according to flow flux through some section computed by FEM and Darcy law; and the relationship between the equivalent transmissivity and roughness of fracture is presented. The numerical simulation investigation shows that compared with straight and smooth fracture, the equivalent transmissivity of fracture with rough surface will decrease slightly. For the investigated fracture model with 0.5 mm average aperture, the equivalent transmissivity of fracture with different standard deviations of fracture aperture changes only 5 % while the standard deviation of fracture aperture fluctuates from 0.01 mm to 0.2 mm. Traditional governing equation of water flow can not accurately depict the transform principle of water through rough fracture because the definition of pressure water-head in the equation ignores the velocity item.
Keywords:equivalent transmissivity  fracture aperture  normal distribution  APDL parameter design language  finite element simulation
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