新疆石油地质 ›› 1994, Vol. 15 ›› Issue (1): 49-56.

• • 上一篇    下一篇

七种递减曲线的特性研究

俞启泰   

  1. 中国石油天然气总公司石油勘探开发科学研究院 北京 100083
  • 收稿日期:1993-05-07 出版日期:1994-03-01 发布日期:2020-08-06
  • 作者简介:高级工程师 油田开发

A STUDY OF FEATURES FOR SEVEN DECLINE CURVES

Yu Qitai   

  1. Science Research Institute of Petroleum Exploration & DeveIopmerit. CNPC, Beijing 100083
  • Received:1993-05-07 Online:1994-03-01 Published:2020-08-06
  • About author:Senior Engineer, Oilfield Development.

摘要: 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国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;②Komltob值和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。

关键词: 油田产量, 递减曲线, 对比特性

Abstract: The mathematicai representatives of seven decline curves were presented in this paper. By applying a standard chart for a generalized decline type curve, a correlation, analysis and study of features of these decline curves has been made, which shows, ①The Arps decline curve is described using formula of prouction decline as well as anaiytic solution of cumulative production rate. Therefore, it is easy to use them, clear for showing types of decline and popular for application. The generalized decline type curve presented on the basis of it is of a wide coverage. ②The Kopitov and the Matthews decline curves corresponded to the curve of n=0.5 of the Arps' are applicable to a reser­voir 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 all lie in range of n<0 of the Arps decline curve. They are applicable to reservoir with low viscosity under water drive. ⑤The Weible decfine curve is of great changes and wide coverage, even including the Arps decline curve, but it is only described using formula of production decline rather than analytic solution of cumulative production rate. Therefore, its appliction is restrained.

Key words: Oilfield output, Decline curve, Correlation feature