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求解復(fù)合油藏非線(xiàn)性徑向流模型的新方法

發(fā)布時(shí)間:2018-09-19 15:04
【摘要】:本文基于實(shí)際油藏模型,結(jié)合復(fù)合油藏的滲流機(jī)理和復(fù)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(fù)合油藏非線(xiàn)性徑向流數(shù)學(xué)模型的求解問(wèn)題,建立了四種復(fù)合油藏模型,得出了求解該類(lèi)復(fù)合油藏?cái)?shù)學(xué)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(duì)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(fù)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(chǔ)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(xué)位授予單位】:西華大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2015
【分類(lèi)號(hào)】:O175

【參考文獻(xiàn)】

相關(guān)期刊論文 前1條

1 李順初;;二階常系數(shù)齊次線(xiàn)性微分方程邊值問(wèn)題的解的相似結(jié)構(gòu)[J];西華大學(xué)學(xué)報(bào)(自然科學(xué)版);2007年01期

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