A fully coupled 3-D mixed finite element model of Biot consolidation

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• 作者：Massimiliano Ferronato ; Nicola Castelletto ; Giuseppe Gambolati
• 关键词：Mixed finite elements ; Biot consolidation ; Coupled solution
• 刊名：Journal of Computational Physics
• 出版年：2010
• 出版时间：20 June 2010
• 年：2010
• 卷：229
• 期：12
• 页码：4813-4830
• 全文大小：1659 K

文摘

The numerical solution to the Biot equations of 3-D consolidation is still a challenging task because of the ill-conditioning of the resulting algebraic system and the instabilities that may affect the pore pressure solution. Recently new approaches have been advanced based on mixed formulations. In the present paper a fully coupled 3-D mixed finite element model is developed with the aim at alleviating the pore pressure numerical oscillations at the interface between materials with different permeabilities. A solution algorithm is implemented that takes advantage of the block structure of the discretized problem. The proposed model is verified against well-known analytical solutions and successfully experimented with in realistic applications of soil consolidation.