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Dissertation/Thesis Abstract

Efficient particle tracking algorithms for solute transport in fracture rock with absorption and matrix diffusion
by Klein, Dylan Lowell, M.S., University of Colorado at Boulder, 2013, 82; 1552070
Abstract (Summary)

In this paper, we study solute transport in an individual fracture and the surrounding porous rock. Specifically, we consider a parallel-plate model of a single fracture that allows for the diffusion of solute within the matrix and the adsorption of solute to the fracture walls. We developed two stochastic particle-tracking methods to numerically solve for the concentration of the fracture model. The first is the hi-res method which captures the solute dynamics at a micro-scale. The second algorithm we develop, the upscaled method, captures the large-scale dynamics of the system at vastly reduced computational cost. We verified the accuracy of these methods by comparing their results to numerical results from the literature. We also compared the efficiency of the developed particle tracking methods to an existing particle tracking method from the literature in the case of no interface absorption.

Indexing (document details)
Advisor: Rajaram, Harihar
Commitee: Corcoran, Jem N., Dougherty, Anne
School: University of Colorado at Boulder
Department: Applied Mathematics
School Location: United States -- Colorado
Source: MAI 52/04M(E), Masters Abstracts International
Subjects: Applied Mathematics, Geology, Water Resource Management
Keywords: Absorption, Fracture, Modeling, Particle, Solute, Transport
Publication Number: 1552070
ISBN: 978-1-303-71070-4
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