油藏热流固耦合渗流问题的有限元方法

AN IMPROVED FINITE ELEMENT METHOD TO SOLVE THE COUPLING MODEL OF HOT FLUID & RESERVOIR

提出了一种有效实用的求解油藏热流固耦合渗流问题的数值计算方法。该方法以有限元法为主 ,结合有限差分法 ,用有限元法求解耦合温度场方程和岩石耦合变形方程 ,用有限差分法求解流体耦合渗流方程 ,发挥有限元法网格技术和单元划分灵活的特点及处理复杂的油藏边界优势 ,兼顾了有限差分法在流场分析方面的成熟应用 ,使复杂的热流固耦合数学模型得以完整求解 ,取得了单由有限元法或有限差分法难以取得的效果 。

In this paper a practical numerical computation method, namely improved finite element method to solve fluid flow in deforming reservoir is presented, which is used to solve the thermal equation and rock deforming equation by combining with finite difference method. Since the finite element method has its own advantages in designing grid system and treating complicated reservoir boundary and it has been successfully applied to fluid field study, it is used to solve the complicated mathematical model of hot fluid flow and deforming reservoir. The results from case study indicate that the new method is better than any other finite element or finite difference methods.