广义反正切微分分布递减方程特征参数分析

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。

Characteristic Parameter Analysis of Generalized Arc-Tangent Distribution Production Decline Equation

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.