A new variational inequality formulation for unconfined seepage flow through fracture networks

作     者：JIANG QingHui YE ZuYang YAO Chi ZHOU ChuangBing 

作者机构：School of Civil EngineeringWuhan UniversityWuhan 430072China State Key Laboratory of Water Resources and Hydropower Engineering ScienceWuhan UniversityWuhan 430072China 

基　　金：supported by the National Natural Science Foundation of China (Grant No. 51079110) the National Basic Research Program of China ("973" Project) (Grant No. 2011CB013506) 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2012年第55卷第11期

页      码：3090-3101页

摘      要：Darcy s law only applying to the flow domain is extended to the entire fracture network domain including the dry *** partial differential equation(PDE) formulation for unconfined seepage flow problems for discrete fracture network is established,in which a boundary condition of Signorini s type is prescribed over the potential seepage *** order to reduce the difficulty in selecting trial functions,a new variational inequality formulation is presented and mathematically proved to be equivalent to the PDE *** numerical procedure based on the VI formulation is proposed and the corresponding algorithm has been *** a continuous penalized Heaviside function is introduced to replace a jump function in finite element analysis,oscillation of numerical integration for facture elements cut by the free surface is eliminated and stability of numerical solution is *** numerical results from two typical examples demonstrate,on the one hand the effectiveness and robustness of the proposed method,and on the other hand the capability of predicting main seepage pathways in fractured rocks and flow rates out of the drainage system,which is very important for performance assessments and design optimization of complex drainage system.

主 题 词：变分不等式 无压渗流 裂隙网络 Heaviside函数 无线网络连接 自由表面 排水系统 设计优化 

学科分类：0810[工学-土木类] 07[理学] 08[工学] 080104[080104] 0815[工学-矿业类] 0805[工学-能源动力学] 0701[理学-数学类] 0702[理学-物理学类] 0812[工学-测绘类] 070101[070101] 0801[工学-力学类] 

核心收录：

D　O　I：10.1007/s11431-012-4904-8

馆 藏 号：203617963...