流-固全耦合新模型研究  

Research on New Mathematical Model for Fluid-Solid Coupling

作　　者：刘晓旭[1,2] 胡勇[1] 赵金洲[2] 胡永全[2] 

机构地区：[1]西南油气田公司勘探开发研究院 [2]"油气藏地质及开发工程"国家重点实验室,西南石油学院

出　　处：《断块油气田》2006年第3期45-46,60,共3页Fault-Block Oil & Gas Field

摘　　要：在油藏开采过程中,储层岩石体变形与流体的流动是相互耦合作用的,并且流体渗流时的压力、饱和度也是不断变化的。假设岩石体变形为弹性小变形,建立其变形方程。由达西定律,考虑油、水两相流体耦合渗流时的饱和度变化,经过推导变换,得到了油、水两相流体的耦合渗流方程,从而得到了以岩石质点位移、流体压力和流体饱和度为未知量的流-固耦合数学模型,并给出了求解数学模型所需的定解条件。新模型拓宽了以前以岩石质点和流体压力为未知量的流-固耦合数学模型,实现了岩石变形和流体渗流的真正意义上的耦合,丰富了流-固耦合理论,为考虑流-固耦合影响下的油藏数值模拟奠定了理论基础。During the course of reservoir development, the rock deformation and the fluid flowing are inter-coupling. Fluid pressure and saturation are changing continuously. This paper supposed the rock deformation is small elastic deformation and set up the rock deformation equation. Through Darcy lawand considering the saturation change of oil phase and water phase, this paper developed the flowing equation of oil phase and water phase, then the fluid-solid coupling mathematical model which takes the rock particle displacement, fluid pressure and fluid saturation as the unknown parameter was drawn and the definite condition was given to solve the mathematical model. The mathematical model broadened the previous fluid-solid coupling mathematical model which takes the rock particle displacement and fluid pressure as the unknown parameters, realized the rock deformation and fluid flowing couple in a truly sense, enriched the fluid-solid coupling theory and laid a theory foundation for the reservoir numerical simulation which the fluid-solid coupling was considered.

关 键 词：流-固耦合 变形场 渗流场 流体压力 饱和度 数学模型 

分 类 号：O359[理学—流体力学]