摘要
用高压泵将水强行注入油层,使原油从生产井排出,这是近代采油的一种重要手段,将水注入油层后,水驱动油层中的石油,这就是两相驱动问题。对可压缩、可混溶问题,其密度实际上不仅依赖于压力而且还依赖于饱和度。其数学模型虽然早就提出,但在数值分析方面,无论在方法上,还是在理论上,出现了实质性困难。到目前为止。
Two-pliase,compressible flow in porou? media is geverned by a system of nonlinear par-tial differential equations. The density of the mixture is related to the pressure and the concen-tration. Two numerical methods are introduced. The concentration is treated by an implicitfinite difference method that applies a form of the method of characteristics to the transportterms in both procedures, while the pressure is treated either by a finite difference method orby a parabolic mixed finite element method. Optimal order estimates. are derived for the errorsin the approximate solution for two methods.
出处
《计算数学》
CSCD
北大核心
1993年第1期16-28,共13页
Mathematica Numerica Sinica
基金
国家自然科学基金
