基于Comsol的饱和多孔介质动力方程的数值模拟及应用

发布时间：2018-10-13 16:52

【摘要】：两相饱和多孔介质的动力响应问题在地震工程领域具有重要的研究意义,由于涉及到固相和液相的动力耦合,使得该问题的求解尤为复杂。本文利用Comsol在求解多场耦合问题上的优点,针对Biot饱和多孔介质u-U耦合形式下的波动方程特征,经过一系列微分算子运算和矩阵变换得到导数形式下的波动方程,基于Comsol Multiphysics提供的广义偏微分方程模式对变形后的波动方程进行求解,并把改进后的无限元边界应用到无限域动力问题的模拟中。通过与饱和多孔介质动力响应的解析解进行对比,验证模型求解技术的可行性和正确性,并在此基础上讨论饱和土地基中空沟隔振效果与饱和土体参数孔隙率、泊松比的关系。通过研究分析,可以为饱和土地基中空沟隔振设计提供一些有价值的参考。
[Abstract]:The dynamic response of two-phase saturated porous media is of great significance in the field of seismic engineering. Due to the dynamic coupling of solid and liquid phase, the solution of the problem is particularly complex. In this paper, by using the advantage of Comsol in solving the multi-field coupling problem, the wave equation in the form of u-U coupling in Biot saturated porous media is obtained by a series of differential operator operations and matrix transformation, and the wave equation in the form of derivative is obtained according to the characteristics of the wave equation in the u-U coupling form of Biot saturated porous medium. Based on the generalized partial differential equation model provided by Comsol Multiphysics, the deformed wave equation is solved, and the improved infinite element boundary is applied to the simulation of the dynamic problem in infinite domain. By comparing with the analytical solution of the dynamic response of saturated porous medium, the feasibility and correctness of the model solution are verified, and the relationship between the effect of isolating vibration of hollow ditch on saturated soil foundation and the porosity and Poisson's ratio of saturated soil is discussed. Through the research and analysis, it can provide some valuable reference for the design of saturated soil foundation hollow ditch vibration isolation.
【作者单位】：北京交通大学土木建筑工程学院;华北水利水电大学资源与环境学院;
【基金】：国家重点基础研究发展计划(2015CB057800)
【分类号】：TU435

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