渗流方程的渗透率自适应权重网格粗化算法

为了提高渗流方程的计算速度和精度,将渗透率自适应网格技术应用于三维非均匀非稳态渗流方程的网格粗化算法中。对于渗透率或孔隙度变化异常的区域,采用精细网格直接求解其压力分布;而在其他区域,采用不均匀网格粗化的方法计算其压力分布。用自适应权重网格粗化算法计算了三维非均匀非稳态渗流场的压力分布。结果表明,三维非均匀非稳态渗流方程的三维不均匀自适应网格粗化算法的解在渗透率或孔隙度异常区域的压力分布规律非常逼近精细网格算法的解,在其他区域的压力分布规律非常逼近粗化算法的解。与采用精细网格算法相比,其计算速度大大提高。

Adaptive grid roughening algorithm for average permeability of fluid equations

In order to improve the calculation speed and the precision of the equations of fluid flow in porous media, the adaptive grid technology was applied to grid roughening algorithm for the three-dimensional heterogeneous transient equations for fluid flow in porous media. The fine grid algorithm was automatically adopted to solve the pressure distribution of three-dimensional equations of fluid flow in porous media directly in the abnormally changing region of the permeability or porosity. The non-uniform grid roughening algorithm was adopted to calculate the pressure distribution of the three-dimensional transient heterogeneous fluid flow in porous media in other regions. The results show that the solutions obtained from the non-uniform adaptive grid roughening algorithm used to calculate the pressure distribution of three-dimensional heterogeneous transient fluid flow in porous media are in good agreement with the solutions of the permeability or porosity of the fine grid algorithm adopted in the abnormal regions. For other regions, the solutions of adaptive grid roughening algorithm agree well with the solutions of the grid roughening algorithm. The computation speed of adaptive grid roughening algorithm increases greatly compared with that of the fine grid method.