反正切微分产量递减方程参数分析及求解方法

The Parameter Analysis and the Solution Methods of Arc-tangent Differential Production Decline Equation

通过对广义反正切微分分布产量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趋于无穷大时,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。在此关系研究基础上,提出了广义反正切微分分布产量递减方程的求解方法。后经实例应用,效果很好,值得推广应用。

The characteristic parameters of generalized arc-tangent differential distribution production decline equation have been analyzed. If C=0, this decline equation can be transformed into hyperbolic decline equation of Arps decline equation. If C=0, m=-1, it can be transformed into exponential decline equation of Arps'. If C=0 and m tends to be infinite, the decline equation, on one hand, can be directly transformed into harmonic decline equation of Arps', and on the other hand approximatively into Logistic production decline equation; if m=0, the equation is arc-tangent differential distribution production decline equation. Based on the study above, the solution to the generalized arc-tangent differential distribution production decline equation has been presented. Its application effect is pretty good, which is good for popularization.