含排水孔裂隙岩体渗流与法向应力耦合的复合单元算法

薛娈鸾

含排水孔裂隙岩体渗流与法向应力耦合的复合单元算法 English Version

薛娈鸾^1,2

1. 华南理工大学土木与交通学院，广东广州 510641; 2. 华南理工大学亚热带建筑科学国家重点实验室，广东广州 510641

基金项目: 国家自然科学基金项目（51209097）

详细信息

作者简介:
薛娈鸾(1982- )，女，湖北随州人，博士，讲师，主要从事裂隙岩体多场耦合的数值仿真等方面的研究与教学工作。E-mail: xueluanluan@scut.edu.cn。

中图分类号: TU452
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出版历程
- 收稿日期: 2012-10-07
- 发布日期: 2013-08-19

Composite element algorithm of seepage-normal stress coupling for fractured rock masses with drainage holes

XUE Luan-luan^1,2

1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510641, China; 2. State Key Lab of Subtropical Building Science, South China University of Technology, Guangzhou 510641, China

摘要

摘要: 提出了含排水孔裂隙岩体的渗流与法向应力耦合的复合单元算法。基于“空气单元”和“充填模型”，提出的复合单元耦合模型视排水孔和裂隙为虚拟的具有高空隙率的“充填介质”，采用复合单元前处理程序，排水孔和裂隙依据其具体位置和方位可自动离散模拟在复合单元内部，计算网格生成时无需考虑排水孔和裂隙的存在，网格划分不受限制。基于复合单元法，采用两场交叉迭代算法，建立了含排水孔裂隙岩体的渗流与法向应力耦合算法。此耦合算法不仅考虑了排水孔和裂隙中的渗流，而且考虑了排水孔和裂隙与相邻岩块之间的流量交换。通过复合单元和传统有限元两种数值模型进行简单算例分析，可知两种算法结果基本一致，进一步验证了提出的含排水孔裂隙岩体的渗流与法向应力耦合算法的有效性，同时可看出复合单元耦合模型的前处理简便快捷。
- 排水孔 /
- 裂隙 /
- 复合单元法 /
- 渗流 /
- 应力 /
- 耦合
Abstract: A composite element algorithm of seepage-normal stress coupling for fractured rock masses with drainage holes is proposed. The coupling relation between fracture seepage and normal stress makes use of “air element” and “filled model”, which regards the drainage holes and fractures as “filled media” with high porosity. The existence of the drainage holes and fractures is not considered in the mesh generation, but it will be considered explicitly in the mapping composite element by means of the composite element pre-processing work program. The computational mesh generation is simple without restriction. Based on the composite element method, the seepage-normal stress coupling is achieved by applying the cross iterative algorithm. The proposed algorithm considers the flows in the drainage holes and fractures and the flow exchange between the drainage holes and fractures and the adjacent rock masses. The verification of the proposed algorithm is conducted through a simple numerical example, from which the advantages and the reliability of the proposed algorithm are illustrated.
- drainage hole /
- fracture /
- composite element method /
- seepage /
- stress /
- coupling

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参考文献(1)

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