弹性多孔介质粘土膨胀和微粒运移的数学模拟方法

孔隙介质的变形，粘土的膨胀，孔隙介质内部微粒的释放，运移和滞留及注入流体携带的外部微粒的入侵是导致孔隙介质的孔隙度和渗透率发生改变的主要因素。在注水开发油田过程中由于孔隙变形，粘土的膨胀，孔隙介质内部微粒的释放，运移。滞留和微粒入侵导致的油层伤害是一个普遍现象。在论述孔隙变形，粘土的膨胀，孔隙介质中微粒的释放，运移和滞留及微粒在孔隙介质表面吸附和在孔喉堵塞导致油层伤害机理的基础上，建立了一个综合的描述油层伤害数学模型并采用有限差分法进行了数值求解。利用数值运算的结果研究了由油层内部微粒，外部微粒共存时孔隙度和渗透率变化的动态特征。

The mathematical simulation method of migration of fines and clay swell in elastic porous medium

The pore deformation, clay swelling, the release, migration and retention of in situ fines in the porous medium and the invasion of external particles carried by injected fluids are major factors to bring about change in porosity and permeability. It is a common phenomenon of formation damage caused by pore deformation, clay swelling, migration and retention of fines in the process of water injection in oilfields. Following a brief review of the mechanism of pore deformation, clay swelling, fine release, migration and retention in porous medium and formation damage result from adsorption of fine on the surface of pore bodies and blocking at pore throats, a comprehensive mathematical model to describe the process of formation damage was developed and solved by the finite difference method. And a number of runs were used to study the dynamic characteristics of porosity and permeability changes caused by the migration of external particles and in situ fines.