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