Contaminant flow and transport simulation in cracked porous media using locally conservative schemes
Type
ArticleAuthors
Song, PuSun, Shuyu

KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Environmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2015-06-03Online Publication Date
2015-06-03Print Publication Date
2012-08Permanent link to this record
http://hdl.handle.net/10754/562375
Metadata
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The purpose of this paper is to analyze some features of contaminant flow passing through cracked porous medium, such as the influence of fracture network on the advection and diffusion of contaminant species, the impact of adsorption on the overall transport of contaminant wastes. In order to precisely describe the whole process, we firstly build the mathematical model to simulate this problem numerically. Taking into consideration of the characteristics of contaminant flow, we employ two partial differential equations to formulate the whole problem. One is flow equation; the other is reactive transport equation. The first equation is used to describe the total flow of contaminant wastes, which is based on Darcy law. The second one will characterize the adsorption, diffusion and convection behavior of contaminant species, which describes most features of contaminant flow we are interested in. After the construction of numerical model, we apply locally conservative and compatible algorithms to solve this mathematical model. Specifically, we apply Mixed Finite Element (MFE) method to the flow equation and Discontinuous Galerkin (DG) method for the transport equation. MFE has a good convergence rate and numerical accuracy for Darcy velocity. DG is more flexible and can be used to deal with irregular meshes, as well as little numerical diffusion. With these two numerical means, we investigate the sensitivity analysis of different features of contaminant flow in our model, such as diffusion, permeability and fracture density. In particular, we study K d values which represent the distribution of contaminant wastes between the solid and liquid phases. We also make omparisons of two different schemes and discuss the advantages of both methods. © 2012 Global Science Press.Citation
Song, P., & Sun, S. (2012). Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes. Advances in Applied Mathematics and Mechanics, 4(04), 389–421. doi:10.4208/aamm.10-m1108Publisher
Global Science Pressae974a485f413a2113503eed53cd6c53
10.4208/aamm.10-m1108