求解復合油藏非線性徑向流模型的新方法
發(fā)布時間:2018-09-19 15:04
【摘要】:本文基于實際油藏模型,結(jié)合復合油藏的滲流機理和復合型微分方程的相似結(jié)構(gòu)理論,研究了在不同外邊界條件和內(nèi)邊界條件干擾下的復合油藏非線性徑向流數(shù)學模型的求解問題,建立了四種復合油藏模型,得出了求解該類復合油藏數(shù)學模型的新方法----相似構(gòu)造法,并給出了該方法的具體步驟。該方法的具體流程如下:首先對所建立的油藏模型做代數(shù)變換-----變量替換和Laplace變換,再利用復合型微分方程解的構(gòu)造理論,在Laplace空間中分別得到內(nèi)區(qū)和外區(qū)的儲集層壓力和井底壓力解。
[Abstract]:Based on the actual reservoir model, this paper combines the percolation mechanism of composite reservoir and the similar structure theory of complex differential equation. In this paper, the solution of nonlinear radial flow mathematical model of composite reservoir under different external and inner boundary conditions is studied, and four kinds of complex reservoir models are established. A new method for solving the mathematical model of this kind of composite reservoir, the similar construction method, is obtained, and the concrete steps of this method are given. The flow chart of this method is as follows: firstly, algebraic transformation-variable substitution and Laplace transformation are performed on the established reservoir model, and then the construction theory of the solution of complex differential equation is used. The solutions of reservoir pressure and bottom hole pressure are obtained in Laplace space.
【學位授予單位】:西華大學
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:O175
本文編號:2250479
[Abstract]:Based on the actual reservoir model, this paper combines the percolation mechanism of composite reservoir and the similar structure theory of complex differential equation. In this paper, the solution of nonlinear radial flow mathematical model of composite reservoir under different external and inner boundary conditions is studied, and four kinds of complex reservoir models are established. A new method for solving the mathematical model of this kind of composite reservoir, the similar construction method, is obtained, and the concrete steps of this method are given. The flow chart of this method is as follows: firstly, algebraic transformation-variable substitution and Laplace transformation are performed on the established reservoir model, and then the construction theory of the solution of complex differential equation is used. The solutions of reservoir pressure and bottom hole pressure are obtained in Laplace space.
【學位授予單位】:西華大學
【學位級別】:碩士
【學位授予年份】:2015
【分類號】:O175
【參考文獻】
相關(guān)期刊論文 前1條
1 李順初;;二階常系數(shù)齊次線性微分方程邊值問題的解的相似結(jié)構(gòu)[J];西華大學學報(自然科學版);2007年01期
,本文編號:2250479
本文鏈接:http://www.sikaile.net/kejilunwen/yysx/2250479.html
最近更新
教材專著