Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model
Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model
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DOI：
10.1155/2016/3047213
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发表时间：
2016-02
影响因子：
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通讯作者：
Yue-bao Deng;Gan-bin Liu;R. Zheng;K. Xie
中科院分区：
文献类型：
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作者：
Yue-bao Deng;Gan-bin Liu;R. Zheng;K. Xie
在毕奥的一般固结理论中引入非线性渗流关系，假定土体骨架中的流体流动服从Hansbo非达西渗流，渗透系数随孔隙比变化，对正常固结软土地基进行了有无排水沟的固结模拟。首先给出了力平衡条件和连续条件下的耦合非线性流动模型的控制方程。基于加权残值法推导了有限元公式，并对现有的有限元程序进行了相应的修改，以考虑非线性流动模型。用已建立的理论解和数值解进行了对比分析，结果令人满意。在此基础上，研究了耦合非线性渗流对固结发展的影响。
A nonlinear flow relationship, which assumes that the fluid flow in the soil skeleton obeys the Hansbo non-Darcian flow and that the coefficient of permeability changes with void ratio, was incorporated into Biot’s general consolidation theory for a consolidation simulation of normally consolidated soft ground with or without vertical drains. The governing equations with the coupled nonlinear flow model were presented first for the force equilibrium condition and then for the continuity condition. Based on the weighted residual method, the finite element (FE) formulations were then derived, and an existing FE program was modified accordingly to take the nonlinear flow model into consideration. Comparative analyses using established theoretical solutions and numerical solutions were completed, and the results were satisfactory. On this basis, we investigated the effect of the coupled nonlinear flow on consolidation development.