Computational simulation for the morphological evolution of nonaqueous phase liquid dissolution fronts in two-dimensional fluid-saturated porous media
Computational simulation for the morphological evolution of nonaqueous phase liquid dissolution fronts in two-dimensional fluid-saturated porous media
复制标题
二维流体饱和多孔介质中非水相液体溶解前沿形态演化的计算模拟
DOI：
10.1007/s10596-010-9206-2
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发表时间：
2011
影响因子：
2.5
通讯作者：
Ord, A.
中科院分区：
文献类型：
--
作者：
Zhao, Chongbin;Regenauer-Lieb, K.;Hobbs, B. E.;Ord, A.
本文讨论了二维有限域流体饱和多孔介质中非水相液体溶解前缘不稳定性的计算问题。在简要介绍了非水相液体溶解系统的控制方程后，提出了用有限元和有限差分相结合的方法来求解这些方程。在所提出的数值方法中，有限差分法用于离散时间，而有限元法用于离散空间。两个基准问题，无论是分析结果或以前的解决方案，用于验证所提出的数值方法。这两个基准问题的相关模拟结果表明，所提出的数值方法是有用的，适用于模拟二维有限域流体饱和多孔介质中的NAPL溶解前沿的形态演化。作为应用，本文提出的数值方法已被用来模拟超临界NAPL溶解体系中三种NAPL溶解前沿的形态演化过程。人们认识到：（1）当NAPL溶解体系的Zhao数处于超临界Zhao数的较低范围内时，NAPL溶解前缘以基本模式为主，（2）当Zhao数处于超临界Zhao数的中等范围内时，NAPL溶解前缘以（正常）指进模式为主;（3）当Zhao数在超临界Zhao数的较高范围内时，NAPL溶解前缘以分形模式为主。
This paper deals with the computational aspects of nonaqueous phase liquid (NAPL) dissolution front instability in two-dimensional fluid-saturated porous media of finite domains. After the governing equations of an NAPL dissolution system are briefly described, a combination of the finite element and finite difference methods is proposed to solve these equations. In the proposed numerical procedure, the finite difference method is used to discretize time, while the finite element method is used to discretize space. Two benchmark problems, for which either analytical results or previous solutions are available, are used to verify the proposed numerical procedure. The related simulation results from these two benchmark problems have demonstrated that the proposed numerical procedure is useful and applicable for simulating the morphological evolution of NAPL dissolution fronts in two-dimensional fluid-saturated porous media of finite domains. As an application, the proposed numerical procedure has been used to simulate morphological evolution processes for three kinds of NAPL dissolution fronts in supercritical NAPL dissolution systems. It has been recognized that: (1) if the Zhao number of an NAPL dissolution system is in the lower range of the supercritical Zhao numbers, the fundamental mode is predominant; (2) if the Zhao number is in the middle range of the supercritical Zhao numbers, the (normal) fingering mode is the predominant pattern of the NAPL dissolution front; and (3) if the Zhao number is in the higher range of the supercritical Zhao numbers, the fractal mode is predominant for the NAPL dissolution front.
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DOI：
10.1007/978-1-4612-0575-3_12
发表时间：
1998
期刊：
--
影响因子：
--
作者：
B. Reddy
通讯作者：
B. Reddy
影响因子：
4.7
作者：
P. Imhoff;M. Farthing;Cass T. Miller
通讯作者：
P. Imhoff;M. Farthing;Cass T. Miller
DOI：
10.1007/978-0-387-76543-3_4
发表时间：
2008
期刊：
--
影响因子：
--
作者：
B. Straughan
通讯作者：
B. Straughan
DOI：
10.1002/nag.880
发表时间：
2010-12
影响因子：
4
作者：
Chong-bin Zhao;B. Hobbs;A. Ord
通讯作者：
Chong-bin Zhao;B. Hobbs;A. Ord
影响因子：
5.4
作者：
J. Geller;James R. Hunt
通讯作者：
J. Geller;James R. Hunt