Zhang, C., Hongkyu, Y., Werth, C.J., Valocchi, A.J., Basu, N.B. and Jawitz, J.W. (2008) Evaluation of Simplified Mass Transfer Models to Simulate the Impacts of Source Zone Architecture on Nonaqueous Phase Liquid Dissolution in Heterogeneous Porous Media. Journal of Contaminant Hydrology, 102, 49-60.
https://doi.org/10.1016/j.jconhyd.2008.05.007

has been cited by the following article:

• TITLE: Two-Dimensional Modeling of the NAPL Dissolution in Porous Media: Heterogeneities Effects on the Large Scale Permeabilities and Mass Exchange Coefficient

  AUTHORS: Bernard Mabiala, Timothée Nsongo, Dominique Nkounkou Tomodiatounga, Christian Tathy, Dominique Nganga

  KEYWORDS: Modeling, NAPL Dissolution, Porous Media, Large Scale Average Mass Exchange Coefficient, Large Scale Permeabilities

  JOURNAL NAME: Computational Water, Energy, and Environmental Engineering, Vol.6 No.1, December 28, 2016

  ABSTRACT: In this paper, we are interested by the dissolution of NAPL (Non-Aqueous Phase Liquid) contaminants in heterogeneous soils or aquifers. The volume averaging technique is applied to 2D systems with Darcy-scale heterogeneities. A large-scale model is derived from a Darcy-scale dissolution model in the case of small and large Damkholer numbers, i.e., for smooth or sharp dissolution fronts. The resulting models in both cases have the mathematical structure of a non-equilibrium dissolution model. It is shown how to calculate the resulting mass exchange and relative permeability terms from the Darcy-scale heterogeneities and other fluid properties. One of the important finding is that the obtained values have a very different behavior compared to the Darcy-scale usual correlations. The large scale correlations are also very different between the two limit cases. The resulting large-scale models are compared favorably to Darcy-scale direct simulations.