Adaptive mesh refinement for non-isothermal multiphase flows in heterogeneous porous media comprising different rock types with tensor permeability

作者:Ding, Yun-Xiao; Shi, An-Feng*; Luo, Hai-Shan; Wang, Xiao-Hong
来源:Numerical Heat Transfer Part A-Applications, 2016, 69(1): 31-50.
DOI:10.1080/10407782.2015.1023081

摘要

This paper presents an adaptive mesh refinement (AMR) algorithm to solve the non-isothermal multiphase flows in heterogeneous porous media comprising different rock types. To address the discontinuity coming from different rock types, we found that the ratios of relative permeability and oil-gas capillary pressure are continuous; hence they are chosen as the judging values for the regridding purpose. Moreover, because of the tensorial permeability and the complex topology of the AMR grid, a coupling flux solution based on the multipoint flux approximation was carefully designed. Numerical examples revealed the accuracy and efficiency of the proposed AMR algorithm.