低渗透气藏反问题数学模型数值解法研究

The Research on the Inverse-problem Model about the Low-permeability Gas with Numerical Method

在研究低渗透气藏中的脱滑效应时,渗流规律偏离了达西定律,在有关文献[1-3]中,运动方程的参数表述具有多种形式,且差异较大.本文建立了非线性偏微分方程反问题的数学模型,来研究具有滑脱效应下的渗流特征.并用PST方法对该问题进行了数值求解,得到了满意的结果.

With researching the effect of siippage of in low-permeability gas reservoir,we find that fluid flow in low-permeability gas deviates from Darcy＇s law.In many references,there are different expressions of fluid moving equations,In order to research the feature of the fluids flow in low-permeability gas reservoir,we have found a nonlinear PDE for the model to inverse problem.And we apply the method of PST to the equations to the numerical solution.