三维非均匀不稳定渗流方程的自适应网格粗化算法

将渗透率自适应网格技术应用于三维非均匀不稳定渗流方程的网格粗化算法中,在渗透率或孔隙度变化异常区域自动采用精细网格,用直接解法求解渗透率或孔隙度变化异常区域的压强分布,在其它区域采用不均匀网格粗化的方法计算,即在流体流速大的区域采用精细网格.用该方法计算了三维非均匀不稳定渗流场的压降解,结果表明三维非均匀不稳定渗流方程的三维非均匀自适应网格粗化算法的解在渗透率或孔隙度异常区的压强分布规律与采用精细网格的解非常逼近,在其它区域压强分布规律与粗化算法的解非常逼近,计算速度比采用精细网格提高100多倍.

Adaptive Nonuniform Grid Upscaling Method of Three-dimensional Transient Heterogeneous Fluids in Porous Media

Adaptive grid technology is applied to upscaling method of 3D fluid equations in porous media. Where the permeability or porosity change is abnormal, the fine grid blocks are automatically adopted and the 3D fluid equations in porous media is solved by the direct method. In the other regions, the nonuniform upscaling method is adopted, i.e., using fine grid blocks in the high flow regions of the model. Using this method, the pressure distribution of the 3D transient heterogeneous fluid in porous media is calculated. Results show that the solutions by using nonuniform adaptive upscaling method of 3D transient heterogeneous fluid in porous media very approach the solutions by using fine grid blocks in the regions the permeability or porosity is abnormal and very approach the solutions by using coarse grid blocks in the other regions; however, the computation speed by using adaptive upscaling method is 100 times more than that by using fine grid block method.