多重介质组合油藏非定常非达西高速渗流问题的解析研究

本文用分段线性化的方法修正了Forchheimer方程，用组合油藏的研究方法，建立了单一介质、双重介质、三重介质非达西高速渗流问题的数学模型，并获得了单一介质，双重介质、三重介质非定常非达西高速渗流无穷大地层的解及相应的长时渐近解。单一介质、双重介质、三重介质非定常达西渗流及组合油藏达西渗流，只是上述问题的特殊情况。从长时渐近解可知，三重介质的压力曲浅有两个台阶，双重介质的压力曲线有一个台阶，单一介质的压力曲线没有台阶。当产量很高时，压力曲线都会变成丁字型。

ANALYTICAT STUDY OF UNSTEADY AND NON-DARCY HIGH-SPEED ELOVV THROUGH MULTIPLE MEDIUM IN COMPOSITE RESERVOIRS

This paper has revised Forchheimer Equation by dividing the curve into two segments linearly,established mathematical models of unsteady and Non-Darcy high-speed flow through porous medium, double medium and triple medium in composite reservoirs,and gained their solutions and their corresponding long time asymptotic solutions. The unsteady Darcy flow and the Darcy flow in composite reservoirs through porous medium, double medium and triple medium are special cases of their own.