Title page for ETD etd-0418102-131049


Type of Document Dissertation
Author Liu, Guangli
Author's Email Address gliu@lsu.edu
URN etd-0418102-131049
Title High Resolution Modeling of Transport in Porous Media
Degree Doctor of Philosophy (Ph.D.)
Department Chemical Engineering
Advisory Committee
Advisor Name Title
Karsten E. Thompson Committee Chair
Danny D. Reible Committee Member
Elizabeth J. Podlaha Committee Member
Ralph W. Pike Committee Member
Philip Sprunger Dean's Representative
Keywords
  • network model
  • heterogeneity
  • interfacial mass transfer
  • transversal dispersion
  • streamline
  • nodal mixing
  • random walk
Date of Defense 2002-04-08
Availability unrestricted
Abstract
This dissertation presents research on the pore-level modeling of transport in porous media. The focus of this work is on high-resolution modeling, a rigorous approach that represents detailed geometry and first-principle physics at the streamline scale. Three major topics are presented in this dissertation: an efficient approach for solving Stokes flow in essentially arbitrary disordered porous media, high-resolution versus network simulations of dispersion phenomena, and a stochastic model for solving interfacial mass transfer from source spheres in porous media. First an approach was developed for solving the Stokes flow problem in a comparatively large, very heterogeneous two-dimensional porous media with high efficiency using a combined domain decomposition and boundary element method. The second topic discussed in this dissertation is the high-resolution and network simulation of dispersion in the porous media for the purpose of evaluating network discretization effects for the hydrodynamic model and the nodal mixing assumption for the solute transport model. It was found that molecular diffusion is not resolved properly with the nodal mixing assumption in the high Peclet number range. The third topic was the development of a stochastic model for simulating interfacial mass transfer from the surface of a single source sphere in a heterogeneous porous medium, which is valid in both low and high Peclet number range.
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