Upscaling and Inverse Modeling of Groundwater Flow and Mass ...

Contents
Abstract v
Resumen ix
Resum xiii
Acknowledgements xvii
1 Introduction 1
1.1 Motivation and Objectives . . . . . . . . . . . . . . . . . . . . . 1
1.2 Thesis Organization . . . . . . . . . . . . . . . . . . . . . . . . 2
2 A Comparative Study of Three-Dimensional Hydraulic Conductivity
Upscaling at the MAcro-Dispersion Experiment (MADE)
site, Columbus Air Force Base, Mississippi (USA) (published in
Journal of Hydrology) 5
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2 Modeling transport at the MADE site . . . . . . . . . . . . . . 8
2.3 Hydraulic conductivity upscaling . . . . . . . . . . . . . . . . . 13
2.3.1 Simple averaging . . . . . . . . . . . . . . . . . . . . . . 13
2.3.2 Simple-Laplacian . . . . . . . . . . . . . . . . . . . . . . 14
2.3.3 Laplacian-with-skin . . . . . . . . . . . . . . . . . . . . 16
2.3.4 Non-uniform coarsening . . . . . . . . . . . . . . . . . . 19
2.4 Coarse model and simulation results . . . . . . . . . . . . . . . 19
2.4.1 Coarse Flow and Transport Equations . . . . . . . . . . 19
2.4.2 Upscaling design and error measure . . . . . . . . . . . 21
2.4.3 Results and Comparisons . . . . . . . . . . . . . . . . . 23
2.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
2.6 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . 34
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
xix