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不相混流体在多孔介质中置换不稳定现象的三维数值模拟
Three Dimensional Simulation of Unstable Immiscible Displacement in the Porous Medium
【摘要】 本文采用不连续势函数在待定界面上变化的方法模拟不相混流体在多孔介质中置换.描述流体在多孔介质中的流动的连续方程在三维直角坐标系下被转化为七点式代数方程.采用强隐式法(Stronglyimplictprocedure)求解,再确定变动的流体间界面.计算中只模拟从稳定向不稳定置换转化这一过程中界面的变动.计算中考虑了多孔介质的浸润特性、毛细管压力、及多孔介质渗透不均匀性.
【Abstract】 In this study changes of uncontinucus potential functions at the interfacewere used to simulate the immiscible displacemnt in porous media. The ellipticpartial differential equation was changed to a seven-point molecule form algebraic equation in three dimensions using the finite difference method.The strongly implicit procedure was adopted to determine the potential functions at everytime instant. Then the change of interface was continued until the displacementchanged to unstable state. The effect of capillary pressure, wetting property,and nonuniformity were considered.
【Key words】 immiscible fluids; interface movement; porous medium; instability;
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,1997年01期
- 【分类号】O351.2
- 【下载频次】57