Application of the variational inequality approach of Signorini type to an engineering seepage problem

CHEN Yi-feng; LU Li-shun; ZHOU Chuang-bing; DAI Yue-hua

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Application of the variational inequality approach of Signorini type to an engineering seepage problem

更新时间：2026-06-25

- Application of the variational inequality approach of Signorini type to an engineering seepage problem
- Vol. 28, Issue S1, (2007)
- 作者机构：
  
  1. 武汉大学水资源与水电工程科学国家重点实验室岩石力学与工程研究所,武汉,430072
  2. 上海磁浮交通发展有限公司,上海,201204
  3. 广东省水利电力勘测设计研究院,广州,510170
- 作者简介：
- 基金信息：
- DOI：
  CLC： O357.3
- Online First：28 March 2014，
  
  Published：2007
- 稿件说明：
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CHEN Yi-feng, LU Li-shun, ZHOU Chuang-bing, et al. Application of the variational inequality approach of Signorini type to an engineering seepage problem[J]. 2007, 28(S1).
DOI：

CHEN Yi-feng, LU Li-shun, ZHOU Chuang-bing, et al. Application of the variational inequality approach of Signorini type to an engineering seepage problem[J]. 2007, 28(S1). DOI：

摘要

对Signorini型变分不等式方法定义的罚Heaviside函数进行了改进，建立了自适应罚Heaviside函数，从而使Signorini型变分不等式方法的数值稳定性进一步得到改善，网格依赖性进一步得到克服。通过将Signorini型变分不等式方法应用于深圳市公明水库坝区渗流分析，论证了Signorini型变分不等式方法在复杂强非线性三维渗流问题中的适用性。

Abstract

The penalized Heaviside function associated with the discrete variational inequality formulation of Signorini type is improved

and an adaptive form of the penalized Heaviside function is suggested to further improve numerical stability and overcome mesh dependence of the variational inequality approach of Signorini type. The suggested approach is applied to seepage analysis of the dam site of Gongming Reservoir

Shenzhen

and the effectiveness of the variational inequality approach of Signorini type for complex three-dimensional seepage problems with strong nonlinearity is validated.

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