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    Contaminant flow and transport simulation in cracked porous media using locally conservative schemes

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    Type
    Article
    Authors
    Song, Pu
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Environmental Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2015-06-03
    Online Publication Date
    2015-06-03
    Print Publication Date
    2012-08
    Permanent link to this record
    http://hdl.handle.net/10754/562375
    
    Metadata
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    Abstract
    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-m1108
    Publisher
    Global Science Press
    Journal
    Advances in Applied Mathematics and Mechanics
    DOI
    10.4208/aamm.10-m1108
    ae974a485f413a2113503eed53cd6c53
    10.4208/aamm.10-m1108
    Scopus Count
    Collections
    Articles; Environmental Science and Engineering Program; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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