三维多孔介质的热弹性动力问题研究

Research on Thermoelastic Dynamic Problems for Three Dimensional Porous Media

在Biot理论的基础上，考虑了瞬态热弹性、热载荷影响因素，对在这一因素作用下的三维多孔介质的基本方程进行了推导．讨论了瞬态热弹性、热载荷作用下多孔介质4种情况的边界（即Phrear－atos－1～4）并进行了划分．分析了热载荷对渗透层介质力学性能的影响，从数学理论上论证了宏观固化Biot理论在有瞬态热载荷下的边界单元法格式，给出了在微孔压力下位移场的积分表达方式。

Based on Biot Theory and taking into account the effects of transient thermal loading or thermo-elasticity, the basic equations for three dimensional porous media are presented, and four types of boundary of porous media (Phrear-atos-1 ~ 4)under the action of transient thermal loading or thermo-elasticity are discussed. The analysis shows that the thermal loading has an important effect on the performance of the porous media. From the mathematical point of view, the form of the boundary element method for the macroscopic consolidation of Biot Theory under transient thermal loading is deducted, and integral representation of the displacement fields under pore pressure is obtained. Finally, the results obtained by using the methods are given.