考虑二次梯度项影响的溶洞-井筒连通模型渗流特征

Fluid Characteristic of Wellbore-Connected Model including the Effect of the Quadratic-Gradient Term

建立了设有忽略非线性偏微分中的二次梯度项影响的溶洞-井筒连通三重介质模型。采用一阶向前差分,二阶中心差分的方法获得了无限大地层定产量生产、有界封闭地层定产量生产和有界封闭地层定压生产时的模型差分方程,用解非线性方程组的Newton迭代法求得了方程组的数值解。分别讨论了三重介质参数变化时的压力变化规律,绘制并分析出了典型压力曲线图。

In this paper,Vug-Wellbore connected model of triple-medium that all terms in nonlinear partial differential equation are retained is built.The difference schemes of triple porosity model are obtained by forward difference and centered second difference method in a constant rate production in an infinitely large system,finite closed system and constant-pressure production in a finite closed system.The numerical solutions are obtained by Newton method.This paper addresses the change rule of pressure when triple porosity parameters change,the plots and analysis of typical pressure curves are given.