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Mathematical Modeling and Numerical ...

Wang, Yuhang.

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Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales./
Author:	Wang, Yuhang.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	166 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-05, Section: B.
Contained By:	Dissertations Abstracts International82-05B.
Subject:	Geological engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28031205
ISBN:	9798678177919

Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales.
Wang, Yuhang.

Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 166 p.

Source: Dissertations Abstracts International, Volume: 82-05, Section: B.

Thesis (Ph.D.)--University of Wyoming, 2020.

This item must not be sold to any third party vendors.

The primary interest of this work is in the area of flow through permeable media in the context of the subsurface. This area receives growing interest in the scientific community due to the wide range of applications that rely on an in-depth understanding of subsurface systems. The multi-scale and multi-physics nature of flow through permeable media pose significant challenges for modeling and simulation as scientific tools to understand such processes. The aim is to propose predictive mathematical models motivated by physical observations or high-fidelity simulations, and to develop reliable and robust numerical framework to predict the dynamics of flow across different scales.The first part targets discretization schemes for simulation of fractured reservoirs. A discrete fracture model is implemented using an unstructured Voronoi mesh that can capture complex fracture geometries. The mesh generation algorithm is extended to enable modeling complex fractures in fully three-dimensional space. The proposed approach is validated against results obtained from a commercial simulator. The second part develops a high-resolution numerical framework for immiscible two-phase flow, which helps to exploit the interplay of nonlinearity and heterogeneity, as well as nonequilibrium models on the behavior of fluid mixing. A generalized analytical scaling relation is derived for two-phase flow subject to self-similar heterogeneity. Moreover, we proposed a novel, self-consistent, and physics-based mathematical formulation for multiphase flow. The proposed model generates evolving fronts that match experimental observations. The third part investigates rarefied gas flow using the lattice Boltzmann method. New optimal values for slip coefficients are proposed to capture slip velocities. Results are validated against molecular dynamics simulation reported in the literature. To capture the confined phase behavior of methane, we developed a modified extension of Peng-Robinson equation of state. The proposed equation is coupled with lattice Boltzmann method to investigate transport of methane in slit nanopores. Result indicates that pressure plays an important role in determining the transport characteristics in confined systems.

ISBN: 9798678177919Subjects--Topical Terms:

2122713
Geological engineering.

Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales.
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100 1 $a Wang, Yuhang. $3 3560428
245 1 0 $a Mathematical Modeling and Numerical Simulation of Subsurface Flow in Permeable Media Across Different Scales.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 166 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-05, Section: B.
500 $a Advisor: Aryana, Saman A.
502 $a Thesis (Ph.D.)--University of Wyoming, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a The primary interest of this work is in the area of flow through permeable media in the context of the subsurface. This area receives growing interest in the scientific community due to the wide range of applications that rely on an in-depth understanding of subsurface systems. The multi-scale and multi-physics nature of flow through permeable media pose significant challenges for modeling and simulation as scientific tools to understand such processes. The aim is to propose predictive mathematical models motivated by physical observations or high-fidelity simulations, and to develop reliable and robust numerical framework to predict the dynamics of flow across different scales.The first part targets discretization schemes for simulation of fractured reservoirs. A discrete fracture model is implemented using an unstructured Voronoi mesh that can capture complex fracture geometries. The mesh generation algorithm is extended to enable modeling complex fractures in fully three-dimensional space. The proposed approach is validated against results obtained from a commercial simulator. The second part develops a high-resolution numerical framework for immiscible two-phase flow, which helps to exploit the interplay of nonlinearity and heterogeneity, as well as nonequilibrium models on the behavior of fluid mixing. A generalized analytical scaling relation is derived for two-phase flow subject to self-similar heterogeneity. Moreover, we proposed a novel, self-consistent, and physics-based mathematical formulation for multiphase flow. The proposed model generates evolving fronts that match experimental observations. The third part investigates rarefied gas flow using the lattice Boltzmann method. New optimal values for slip coefficients are proposed to capture slip velocities. Results are validated against molecular dynamics simulation reported in the literature. To capture the confined phase behavior of methane, we developed a modified extension of Peng-Robinson equation of state. The proposed equation is coupled with lattice Boltzmann method to investigate transport of methane in slit nanopores. Result indicates that pressure plays an important role in determining the transport characteristics in confined systems.
590 $a School code: 0264.
650 4 $a Geological engineering. $3 2122713
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