Abstract: On the basis of the suppositions for oil reservoir model,the fundamental equations for fluid-solid coupling in elasticplastic oil reservoir were established by using the theory of rock mechanics and the mechanics of fluids flow in porous media,including constitutive equations,geometry equations,equilibrium equations and fluid equation in porous media.The mathematical model for fluid-solid coupling in elastic-plastic oil reservoir was deduced.In this model,the effect of media deformation on fluid mass conservation and that of pore fluid flow pressure on balance of media deformation were considered.The effect of media deformation on fluid flow and the dynamic variation of rock mechanics property were also in account.This model can be used to analyze the rule of fluid flow near well bore in the elastic-plastic oil reservoir.

Key words: elastic-plastic oil reservoir fluid-solid coupling equation fluid flow in porous medium mathematical model

摘要： 基于该储层模型假设,运用岩石力学和渗流力学的有关理论和方法,建立了流-固耦合变形的本构方程、几何方程、平衡方程和渗流方程,导出了可变形储层的流-固耦合渗流与变形基本模型.该模型不仅考虑了介质变形对流体质量守恒和孔隙流动压力对介质变形平衡的影响,也考虑了变形对流体流动的影响以及岩石力学性质的动态变化特征.该模型可用于研究井眼周围储层的变形及渗流规律.

关键词: 可变形储层, 流-固耦合方程, 多孔介质流体流动, 数学模型