多孔介质孔隙尺度下不可压缩流体流动特性SPH模拟

基于孔隙尺度下的多孔介质模型,使用光滑粒子动力学(SPH)数值模拟方法研究多孔介质中不可压缩流体流动现象,分析流体在孔隙尺度下的流动特性.首先通过模拟经典的Poiseuille流和Couette流验证方法的正确性.随后,针对流体在分别由圆柱和方柱为骨架构造的规则多孔介质内的流动情况,同时使用SPH方法和有限元法(FEM)进行模拟,所得的结果十分吻合.最后利用SPH方法对流体在基于贝雷岩心获得的多孔介质模型和以同尺度的圆柱为基元构造的一种人工随机多孔介质模型内的流动进行模拟,证明平均流体速度和单位质量体积力具有很好的线性关系.

Simulation of incompressible fluid flow in porous media at pore scale via smoothed particle hydrodynamics

Based on the porous media model, smoothed particle hydrodynamics (SPH) is employed to simulate the incompressible fluid flow in porous media and study the flow characteristics at pore scale. Firstly, the classic Poiseuille flow and Couette flow are investigated to validate the SPH method. And then, the fluid flow in the regular porous media constructed by square and circle cylinder respectively, is simulated by both finite element method (FEM) and SPH method. The simulation results show a good agreement. At last, the fluid flow in an artificial randomization porous media model constructed by the circular grains of same size, and in the Berea sandstone is modeled at the same time and a linear relationship between the average flow velocity and the body force per unit mass is found.