Three-way coupling of multiphase flow and poromechanics in porous media
Three-way coupling of multiphase flow and poromechanics in porous media
复制标题
多孔介质中多相流与孔隙力学的三向耦合
DOI：
10.1016/j.jcp.2019.109053
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
M. Wheeler
中科院分区：
文献类型：
--
作者：
Xueying Lu;M. Wheeler
建立了多孔弹性介质中单相渗流和状态方程(EOS)组分渗流的三向耦合模型。该算法的灵感来自于Dean等人之前的工作。[1]。在每个时间步计算一个误差指示器，以确定是否必须求解力学方程以及是否需要固定应力迭代耦合；否则，仅用外推的平均应力来求解流动方程。推广了Girault等人关于定应力迭代耦合的先验分析，建立了三向耦合的收敛性质。[2]。Mandel问题的数值结果证实了单相流的这些理论结果。三向耦合对Mandel问题和基于克兰菲尔德资料的场-尺度耦合的成分流动和地质力学模拟分别获得了2.7和6.6倍的加速比。具体来说，现场规模的CO2封存和表面活性剂交替气体(SAG)过程的模拟表明，与固定应力分裂相比，三向耦合分别显著减少了99.4%和97.5%的力学求解时间。
We formulate a three-way coupling for both single phase flow and equation-of-state (EOS) compositional flow in a poroelastic medium. The algorithm is inspired by the previous work of Dean et al. [1]. An error indicator is calculated at each time step to determine if the mechanics equation must be solved and whether the fixed-stress iterative coupling is necessary; otherwise, only the flow equation is solved with an extrapolated mean stress. The convergence of three-way coupling is established by extending the a priori analyses of fixed-stress iterative coupling by Girault et al. [2]. Numerical results for the Mandel's problem confirm these theoretical results for single phase flow. Three-way coupling achieves speedup with a factor 2.7 and 6.6 for Mandel's problem and field-scale coupled compositional flow and geomechanics simulations based on Cranfield field data respectively. Specifically, field-scale simulations of CO2sequestration and surfactant-alternating-gas (SAG) process show that the three-way coupling substantially reduces mechanics solving time by 99.4% and 97.5% respectively compared to the fixed-stress split.