具有封闭孔隙的孔隙介质边界条件

Boundary conditions for porous media of sealed pores

石油大学, 东营257062

The University of Petroleum, Dongying City, Intercode: 257062

本文基于Biot孔隙介质理论, 根据两种孔隙介质分界面上孔隙介质之间接触的微观结构特征, 分析了封闭孔隙量对应力连续性的影响, 建立了分界面处封闭孔隙量与两种孔隙介质应力连续性之间的关系。根据Biot孔隙介质波动方程解的能量守恒原则, 由两种介质分界面处的应力连续关系推出了速度、位移连续关系, 从而给出了具有封闭孔隙的孔隙介质边界条件的一般形式。根据概率统计理论, 本交给出了统计意义下的孔隙介质边界条件形式。最后从孔隙一孔隙介质边界条件推出孔隙介质一均匀介质边界条件。

Based on Biot’s theory this paper analyses the effect of the amount of sealed pores on stress continuity according to the microstructure characteristics cxhibility at the interface between two porous media. At the interface,a relation has been established for the amount of sealed pores and the stress continuity between two media. In Iight of the conservation of energy for wave cquation solution of Biotts porous media,velocity and displancement continuous relations have been derived by means of stress continity,so that the general form of the boundary conditions for porous media of sealed pores has been established. The boundary conditions for porous media are also established statisticaly. The porous-homogeneous media boundary conditions are presented via porous-porous media boundary conditions.