新疆石油地质

新疆石油地质 ›› 2005, Vol. 26 ›› Issue (6): 670-672.

• 油藏工程 • 上一篇    下一篇

广义反正切微分分布递减方程特征参数分析

张原平, 高文君, 赵晓萍, 孙惠萍, 潘红芳, 王岚   

  1. 中国石油 吐哈油田分公司 勘探开发研究院,新疆 哈密 839009
  • 收稿日期:2005-01-31 出版日期:2005-12-01 发布日期:2020-11-23
  • 作者简介:张原平(1969-),女,甘肃永登人,工程师,应用数学,(Tel)0902-2765387.

Char acteristic Par ameter Analysis of Gener alized Arc-Tangent Distribution Production Decline Equation

ZHANG Yuan-ping, GAO Wen-jun, ZHAO Xiao-ping, SUN Hui-ping, PAN Hong-fang, WANG Lan   

  1. Research Institute of Exploration and Development, Tuha Oilfield Company, PetroChina, Hami, Xinjiang 839009, China
  • Received:2005-01-31 Online:2005-12-01 Published:2020-11-23

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摘要： 通过对广义反正切微分分布递减方程特征参数的分析,指出当 C=0 时,该递减方程可转化为 Arps 递减方程中的双曲递减方程; 当 C=0、m=-1 时,该递减方程可转化为 Arps 递减方程中的指数递减方程; 当 C=0、m→∞时,该递减方程一方面可直接转化为 Arps 递减方程中的调和递减方程,另一方面可近似转化为 Logistic 产量递减方程; 当 m=0 时,该方程即为反正切微分分布产量递减方程。在这些关系研究的基础上,提出了广义反正切微分分布产量递减方程的求解方法。经实例应用,效果很好,值得推广应用。

关键词: 产量, 递减, 特征, 参数, 分析

Abstract: The analysis of characteristic parameters from generalized arc-tangent distribution production decline equation shows that if C= 0, the decline equation can be transformed into hyperbolic decline equation of Arps decline equation; if C=0 and m=-1, the decline equation can be transformed into exponential decline equation of Arps decline equation; if C=0 and m→∞, the decline equation on one hand can be directly transformed into harmonic decline equation of it, and on the other hand can be approximately transformed into Logistic production decline equation; if m=0, the decline equation is the arc-tangent distribution production decline equation.Based on these studies, the solution to the generalized arc-tangent distribution production decline equation is presented in this paper.The good effect has been obtained from the case application and is worth popularizing.

Key words: production rate, decline, characteristic, parameter, analysis

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