七种递减曲线的特性研究

A STUDY OF FEATURFS FOR SEVEN DECLINE CURVES

介绍了七种递减曲线的数学表达式。应用广义递减曲线标准图版对这些递减曲线的特性进行了对比、分析和研究后表明：①Ａｒｐｓ递减曲线既有产量递减公式，又有累积产量解析式，因此使用方便，递减类型清楚，得到了广泛的应用，在此基础上建立的广义递减曲线具有广泛的代表性；②和Ｍａｔｔｈｅｗｓ递减曲线相当于Ａｒｐｓ递减曲线ｎ＝０．５的情况，适用于水驱和重力驱油田；③Ｊｏｓｈｉ递减曲线相当于Ａｒｐｓ递减ｎ＝０．即指数递减的情况；④Ｌｏｇｉｓｔｉｃ和Ｇｏｍｐｅｒｔｓ递减曲线不符合Ａｒｐｓ递减，它们都处于Ａｒｐｓ递减ｎ＜０的范围中．它们适用于低粘度的水驱油田；⑤Ｗｅｉｂｌｅ递减曲线变化范围和覆盖面极大，甚至可以包括Ａｒｐｓ递减，但它只有产量递减表达式，而没有累积产量的解析式，因而限制了它的应用。

The mathematical representatives of seven decline curves were presented in this paper.By applying a standardchart for a generalized decline type curve,a correlation, analysis and study of features of these decline curves hasbeen made, which shows:①The Arps decline curve is described using formula of production decline as well as analyticsolution of cumulative production rate. Thetefore,it is easy to use them, clear for showing types of decline andpopular for application,The generalized decline type curve presented on the basis of it is of a wide coverage.②TheKopitov and the Matthews decline curves corresponded to the curve of n=0.5 of the Arps' are applicable to a reser-voir by water-drive and gravity drainage,③The Joshi decline curve is equal to the curve of n=0 of the Arps'(i.e.the exponential decline).④The Logistic and the Gomperts decline curves are inconsistent with the Arps'.for they alllie in range of n<0 of the Arps decline curve. They are applicable to reservoir with low viscosity under water-drive.⑤The Weible decline curve is of great changes and wide coverage,even including the Arps decline curve,butit is only described using formula of production decline rather than analytic solution of cumulative production rate.Therefore,its application is restrained.