hyperbolic decline
1.The Arps equation involves exponential decline, hyperbolic decline and harmonic decline, in which the hyperbolic decline equation is widely used and can be solved in many methods.
2.The three types of decline curves presented by Arps(i.e. Exponential decline, Hyperbolic decline, and Harmonic decline)has been applied extensively in reservoir engineering.
3.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;
5.After the gas field has entered into the production decline stage , its decline law can be studied by use of the typical curve fitting method or coordinate transform method through Arps hyperbolic decline equation generally .
6.A simplified formula for Arps hyperbolic decline equation is given out, and the general formula of cumulative production with production change relation is obtained. When decline exponent n=0 and n=0. 5,the relational expressions of cumulative production of exponential decline and modified Kopatove decline with production are obtained.
7.Based on the study on various solution methods of J. J. Arps hyperbolic decline equation, this paper gives a new solution method of simultaneous equations.
8.This paper analysed every solving method of Arps Hyperbolic decline equation,pointed out their respective shortcomings, and them presented a new method which solves equation.
9.To solve the problem,a pure non-linear model is developed on the basis of the Arps hyperbolic decline equation and the various methods of solving parameters to calculate decline parameters by applying cure matching after we have surveyed .
10.In terms of analyses and research of references athome and abroad, a method for calculating Arps hyperbolic decline parameters has been screened, which is more reasonable, more simple and clear and much easierto use.
