定量开采条件下径向渗流的液固耦合问题

考虑到多孔介质渗透率随孔隙度变化的特点，建立了力学模型，研究定量抽放问题；对于广义平面应力状态下的非线性渗流耦合问题，提出了解的构造方法和解耦方法；求出了耦合条件下的孔隙压力，多孔介质总应力、总应变和总位移的解析解；进行了实例计算，并与Biot理论进行了对比，结果表明两种理论的差别很大。因此在渗透系数有较明显变化的场舍下不能采用Biot理论进行分析。

Liquid-solid Coupled Radial Problem related to Liquid Mineral Extraction at Given Outflow Rate

Taking into account the change of the permeability with pores variation, a mechanical model is presented. The extraction of liquid mineral in general plain stress state at given outflow rate is studied by using the model. A method of constructing poroelastic solution is presented, fluid flowing and the deformation of porous media can be decoupled easily by the method. The analytical solutions of the stresses, strains, displacements and pore pressure are derived. The case computations are conducted, and the comparison of non-linear coupled model with Biot's theory is made. The results of comparison show that there is obvious difference between these two theories. So Biot's theory can't be applied to the situation that hydraulic conductivity alters remarkedly.