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Adaptive mesh refinement for one-dimensional three-phase flow with phase change in porous media

机译:多孔介质中具有相变的一维三相流的自适应网格细化

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This article presents a detailed analysis of the implementation of the adaptive mesh refinement (AMR) technique to one-dimensional three-phase flows in heterogeneous porous media, including phase change. Since this is a particularly complex, highly nonlinear problem, many difficulties had to be resolved. A specific refining procedure and refinement criterion are proposed to deal with discontinuous saturations across interfaces between different rock types. In addition, we propose an alternative numerical algorithm to avoid difficulties in applying previous multilevel or multigrid algorithms to advance the solution on the AMR grids. Numerical examples, focused on steam injection modeling, show that the AMR technique is fast and has good accuracy.
机译:本文详细介绍了自适应网格细化(AMR)技术对非均质多孔介质中一维三相流(包括相变)的实现方式。由于这是一个特别复杂,高度非线性的问题,因此必须解决许多困难。提出了一种特定的提炼程序和提炼标准,以处理不同岩石类型之间界面上的不连续饱和。此外,我们提出了一种替代的数值算法,以避免在应用以前的多级或多网格算法以在AMR网格上推进求解时遇到的困难。以蒸汽注入模型为重点的数值例子表明,AMR技术是快速的并且具有良好的准确性。

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