水驱粘塑性非牛顿原油渗流特性的数值模拟

Numerical Simulation of Displacement Characteristics of Viscous Plastic Non Newtonian Oil by Water

针对水驱粘塑性非牛顿原油在地层下呈强非线性渗流特征，建立了描述其流动过程的数学方程； 采用全隐式离散、牛顿－ 拉弗松方法迭代线化，稳定双共轭梯度方法求解，对特定初边条件下二维油藏油水两相流动问题作了数值模拟．结果表明。

A governing equation and a numerical method describing the highly non linear characteristics of the displacement of a viscous plastic non Newtonian fluid by a Newtonian fluid in subsurface porous media have been developed. In numerical simulations of the two dimensional oil reservoir of the oil water two phase fluid flow under specific initial condition and boundary conditions, the full implicit method of finite difference discretization and the solving technique of coupled non linear algebraic equations by Newton Laphson iteration and biconjugate gradient stabilized method (BiCGSTAB) were applied. The numerical results demonstrate that there is a distinct difference between non Newtonian fluid and Newtonian fluid in the displacement of porous media.