An implicit numerical model for multicomponent compressible two-phase flow in porous media
An implicit numerical model for multicomponent compressible two-phase flow in porous media
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DOI：
10.1016/j.advwatres.2015.09.006
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发表时间：
2015-11
影响因子：
4.7
通讯作者：
A. Zidane;A. Firoozabadi
中科院分区：
文献类型：
--
作者：
A. Zidane;A. Firoozabadi
本文引入了一种新的隐式方法来模拟多孔介质中多组分可压缩两相流，并考虑了两相间的物质传递。在本公式中对物质输运方程的隐式离散化中，我们首次计算了在恒定体积和温度条件下，组分α相的摩尔浓度（cα, i）对总摩尔浓度（ci）的导数。采用有限体积法对物种输运方程进行离散化。基于混合有限元法的强大特性，计算了网格-单元界面处的压力以及网格-单元中心的压力。通过与现有的三种隐式组合模型的比较，证明了该模型的有效性。尽管我们的算法是基于一阶空间离散化，但它具有较低的数值色散。该算法具有很强的鲁棒性。
We introduce a new implicit approach to model multicomponent compressible two-phase flow in porous media with species transfer between the phases. In the implicit discretization of the species transport equation in our formulation we calculate for the first time the derivative of the molar concentration of componentiin phaseα(cα, i) with respect to the total molar concentration (ci) under the conditions of a constant volumeVand temperatureT. The species transport equation is discretized by the finite volume (FV) method. The fluxes are calculated based on powerful features of the mixed finite element (MFE) method which provides the pressure at grid-cell interfaces in addition to the pressure at the grid-cell center. The efficiency of the proposed model is demonstrated by comparing our results with three existing implicit compositional models. Our algorithm has low numerical dispersion despite the fact it is based on first-order space discretization. The proposed algorithm is very robust.