求解复合油藏非线性径向流模型的新方法

发布时间：2018-09-19 15:04

【摘要】：本文基于实际油藏模型,结合复合油藏的渗流机理和复合型微分方程的相似结构理论,研究了在不同外边界条件和内边界条件干扰下的复合油藏非线性径向流数学模型的求解问题,建立了四种复合油藏模型,得出了求解该类复合油藏数学模型的新方法----相似构造法,并给出了该方法的具体步骤。该方法的具体流程如下:首先对所建立的油藏模型做代数变换-----变量替换和Laplace变换,再利用复合型微分方程解的构造理论,在Laplace空间中分别得到内区和外区的储集层压力和井底压力解。
[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.
【学位授予单位】：西华大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O175

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