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CONTENTS
List of Figures
List of Tables
ix
xiv
1 Introduction 1
1.1 Issues of scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.2 Continuum modeling approach . . . . . . . . . . . . . . . . . . 3
1.3 Pore-scale modeling approach . . . . . . . . . . . . . . . . . . . 4
1.4 Research objectives . . . . . . . . . . . . . . . . . . . . . . . . . 8
1.5 Outline of the thesis . . . . . . . . . . . . . . . . . . . . . . . . 9
1.6 Programming issue . . . . . . . . . . . . . . . . . . . . . . . . . 13
I Generation of Multi-Directional Pore Network 17
2 A New Method for Generating Multi-Directional Pore-Network
Model 19
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20
2.2 Methodology and Formulation . . . . . . . . . . . . . . . . . . . 23
2.2.1 General Network Elements in MDPN . . . . . . . . . . 23
2.2.2 Network Connections . . . . . . . . . . . . . . . . . . . 25
iii