水驱规律曲线数学理论推导

Deduction of Water Drive Curve Relation

主要对由累积产水量和累积产油量组成的半对数线性关系,即甲型水驱曲线关系式及乙型水驱曲线关系式、丙型水驱曲线关系式分别进行了推导,在推导的过程中总结出三种曲线的临界条件和每种水驱曲线关系式所对应的油水的相对渗透率比,从而推导出三种水驱曲线的简单关系式。对于预测水驱油田的未来开发动态和最终采收率,这是一个很重要的方法,在国内外得到了广泛的应用。

According to the half logarithm linear relationship consist of cumulative water production and cumulative oil pro- duction. The formulas of three water drive curve relationship are derived respectively. In the process of derivation, this paper summa- rizes the three kinds of curve of critical condition and relative permeability ratio corresponding oil - water of each water drive curve relation. Thus three kinds of water drive curve of simple relation can be deduced. This is a very important method to predict the fu- ture of the water drive oilfield development performance and ultimate recovery. It has been widely used at home and abroad.