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

Handle URI:
http://hdl.handle.net/10754/562375
Title:
Contaminant flow and transport simulation in cracked porous media using locally conservative schemes
Authors:
Song, Pu; Sun, Shuyu ( 0000-0002-3078-864X )
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.
KAUST Department:
Computational Transport Phenomena Lab; Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program
Publisher:
Global Science Press
Journal:
Advances in Applied Mathematics and Mechanics
Issue Date:
25-Oct-2012
DOI:
10.4208/aamm.10-m1108
Type:
Article
ISSN:
20700733
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Computational Transport Phenomena Lab

DC FieldValue Language
dc.contributor.authorSong, Puen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2015-08-03T10:02:59Zen
dc.date.available2015-08-03T10:02:59Zen
dc.date.issued2012-10-25en
dc.identifier.issn20700733en
dc.identifier.doi10.4208/aamm.10-m1108en
dc.identifier.urihttp://hdl.handle.net/10754/562375en
dc.description.abstractThe 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.en
dc.publisherGlobal Science Pressen
dc.subjectDiscontinuous Galerkin methodsen
dc.subjectFlow equationen
dc.subjectMixed finite element methodsen
dc.subjectReactive transport equationen
dc.titleContaminant flow and transport simulation in cracked porous media using locally conservative schemesen
dc.typeArticleen
dc.contributor.departmentComputational Transport Phenomena Laben
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalAdvances in Applied Mathematics and Mechanicsen
dc.contributor.institutionDepartment of Mathematical Sciences, Clemson University, Clemson, SC 29634, United Statesen
kaust.authorSun, Shuyuen