| Signorini型变分不等式方法在实际工程渗流问题中的应用 |
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| 引用本文： | 陈益峰,卢礼顺,周创兵,戴跃华.Signorini型变分不等式方法在实际工程渗流问题中的应用[J].岩土力学,2007,28(Z1):178-182. |
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| 作者姓名： | 陈益峰 卢礼顺 周创兵 戴跃华 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金项目资助(No. 50539100, 50639100)，教育部科学技术研究重点项目(No. 106157) |
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| 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。
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| 关 键 词： | Signorini型变分不等式 渗流 自适应罚Heaviside函数 |
| 收稿时间： | 2007-05-31 |
Application of the variational inequality approach of Signorini type to an engineering seepage problem |
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| CHEN Yi-feng,LU Li-shun,ZHOU Chuang-bing,DAI Yue-hua.Application of the variational inequality approach of Signorini type to an engineering seepage problem[J].Rock and Soil Mechanics,2007,28(Z1):178-182. |
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| Authors: | CHEN Yi-feng LU Li-shun ZHOU Chuang-bing DAI Yue-hua |
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| Institution: | 1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China; 2. Shanghai Maglev Transportation Development Co., Ltd., Shanghai 201204, China; 3. Guangdong Investigation Design & Research Institute of Water Conservancy & Electric Power, Guangzhou 510170, China |
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| 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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