可动凝胶深部调驱流线模拟方法研究

可动凝胶深部调驱过程中流体的流动涉及复杂的物理化学过程,快速准确地模拟该过程是参数优化、方案设计的关键.在建立起可动凝胶深部调驱的油水两相多组分数学模型的基础上,推导出了考虑重力和毛管力的三维流线模型,将求解饱和度的三维问题转化为一维问题.采用算子分离技术将流线上的饱和度方程分解为典型的双曲型方程和抛物型方程,并采用分数步差分法求解饱和度方程,利用显示方法解决了隐式问题,提高了求解精度和速度,从而实现了可动凝胶深部调驱的快速准确模拟.

A New 3D Streamline Simulation Model for Weak Gel Driving

The flow of fluids is a very complex process involving some physical and chemical phenomena while weak gel driving. Accurate and fast modeling of this complex flow is crucial to optimize parameters of injection and design project. We have developed a three dimensional (3D) compositional mathematical model for two phase (oil and water) flow and derived a new 3D streamline model with capillarity and gravity effects. The pressure equation is decoupled from the saturation and solved by 7-points finite difference format. Then the 3D saturation equation is decomposed into a set of one dimensional (1D) equations along the streamlines. The saturation equation is a typical convection-diffusion equation. The convection-diffusion equation is split into a hyperbolic equation for convection and a parabolic equation for diffusion by means of operator splitting algorithms. To improve the speed and accurate of solution, we have used the finite difference method of fractional steps to solve the split equations. So, the implicit equations are solved by explicit difference format. The Application result shows that we can accurately and fast simulate the process of weak gel driving using the 3D streamline simulator.