A Study On The Solution Of The Nonlinear Spherical Seepage Model Of Three-Area Composite Reservoir

This paper studies the problem of the nonlinear spherical seepage model of three-area composite reservoir which considering quadratic gradient effect.On the basis of seepage mechanism of three-area composite reservoir,this paper establishes seepage mathematical models of composite reservoir with four kinds of different inter boundary conditions and three kinds of outer boundary conditions(constant pressure,closed and infinite)are taken into consideration.Firstly taking the three-area composite normalized Bessel equation as an example to obtain the method for solving this kind of problem:similar construction method.And the steps of composite differential equation is summarized;secondly set up the composite mathematical model of three-area composite reservoir,and applying variable substitution and Laplace transform on the model;finally according to similar structure of solution of the boundary value problem of differential equation,the model is solved.Furthermore,a method for solving the class of nonlinear spherical seepage mathematical models of three-area composite reservoir is obtained.The similar construction method is simple and easy to grasp and provide the clear mentality for programmer.This method has broad application in terms of research the inherent laws of fluid flaws.