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首页> 外文期刊>Transport in Porous Media >A Comparison Study Between an Adaptive Quadtree Grid and Uniform Grid Upscaling for Reservoir Simulation
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A Comparison Study Between an Adaptive Quadtree Grid and Uniform Grid Upscaling for Reservoir Simulation

机译：储层模拟的自适应四叉树网格与均匀网格放大的比较研究。

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An adaptive quadtree grid generation algorithm is developed and applied for tracer and multiphase flow in channelized heterogeneous porous media. Adaptivity was guided using two different approaches. In the first approach, wavelet transformation was used to generate a refinement field based on permeability variations. The second approach uses flow information based on the solution of an initial-time fine-scale problem. The resulting grids were compared with uniform grid upscaling. For uniform upscaling, two commonly applied methods were used: renormalization upscaling and local-global upscaling. The velocities obtained by adaptive grid and uniformly upscaled grids, were downscaled. This procedure allows us to separate the upscaling errors, on adaptive and uniform grids, from the numerical dispersion errors resulting from solving the saturation equation on a coarse grid. The simulation results obtained by solving on flow-based adaptive quadtree grids for the case of a single phase flow show reasonable agreement with more computationally demanding fine-scale models and local-global upscaled models. For the multiphase case, the agreement is less evident, especially in piston-like displacement cases with sharp frontal movement. In such cases a non-iterative transmissibility upscaling procedure for adaptive grid is shown to significantly reduce the errors and make the adaptive grid comparable to iterative local-global upscaling. Furthermore, existence of barriers in a porous medium complicates both upscaling and grid adaptivity. This issue is addressed by adapting the grid using a combination of flow information and a permeability based heuristic criterion.
机译：开发了一种自适应四叉树网格生成算法，并将其应用于通道化非均质多孔介质中的示踪剂和多相流。适应性使用两种不同的方法进行指导。在第一种方法中，小波变换用于基于磁导率变化生成精化场。第二种方法基于初始时间精细问题的解决方案使用流量信息。将生成的网格与统一的网格放大进行了比较。对于统一的升级，使用了两种常用的方法：重新规范化升级和局部全局升级。通过自适应网格和均匀放大的网格获得的速度被缩小了。该程序使我们能够将自适应网格和均匀网格上的放大误差与求解粗网格上的饱和度方程所产生的数值离散误差分开。通过求解基于流动的自适应四叉树网格的单相流情况所获得的仿真结果与计算量更大的精细模型和局部全局放大模型具有合理的一致性。对于多相情况，一致性不太明显，尤其是在活塞运动剧烈且向前运动剧烈的情况下。在这种情况下，自适应网格的非迭代透射率放大过程显示出可显着减少误差，并使自适应网格可与迭代局部-全局放大过程媲美。此外，多孔介质中壁垒的存在使放大和网格适应性都变得复杂。通过使用流量信息和基于渗透率的启发式标准的组合来调整网格，可以解决此问题。

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