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68 CHAPTER 3. TRANSPORT UPSCALING USING MULTI- . . . conductivities and that using a skin to compute them results in a good reproduction of flows at the fine scale. Moreover, we found that proper transport upscaling is particularly important for the reproduction of the late time behavior of the solute breakthrough curves. We also found that proper transport upscaling is important to not underestimate the breakthrough curve prediction uncertainty.
Bibliography Bear, J., 1972. Dynamics of fluids in porous media. American Elsevier Pub. Co., New York. Benson, D. A., Wheatcraft, S. W., Meerschaert, M. M., 2000. Application of a fractional advection-dispersion equation. Water Resour Res 36 (6), 1403– 1412. Berkowitz, B., Scher, H., 1998. Theory of anomalous chemical transport in random fracture networks. Phys Rev E 57 (5), 5858–5869. Bierkens, M., Gaast, J., 1998. Upscaling hydraulic conductivity: theory and examples from geohydrological studies. Nutrient Cycling in Agroecosystems 50, 193–207. Burnett, R. D., Frind, E. O., 1987. Simulation of contaminant transport in three dimensions: 2. dimensionality effects. Water Resour Res 23 (4). Carrera, J., Sánchez-Vila, X., Benet, I., Medina, A., Galarza, G., Guimerà, J., 1998. On matrix diffusion: formulations, solution methods and qualitative effects. Hydrogeology Journal 6 (1), 178–190. Cassiraga, E. F., Fernàndez-Garcia, D., Gómez-Hernández, J. J., 2005. Performance assessment of solute transport upscaling methods in the context of nuclear waste disposal. Int J of Rock Mec Min 42 (5-6), 756–764. Chen, Y., Durlofsky, L. J., Gerritsen, M., Wen, X. H., 2003. A coupled localglobal upscaling approach for simulating flow in highly heterogeneous formations. Adv. Water Resour. 26 (10), 1041–1060. Cushman, J. H., 1984. On unifying the concepts of scale, instrumentation, and stochastics in the development of multiphase transport theory. Water Resour. Res. 20 (11), 1668–1676. Dagan, G., 1986. Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale. Water Resour. Res. 22 (9), 120S–134S. 69
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Upscaling and Inverse Modeling of G
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c⃝ Copyright by Liangping Li 2011
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Abstract The need to reduce the com
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improved as more data is assimilate
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Resumen La necesidad de reducir el
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Por último, en el tercer bloque, e
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Resum La necessitat de reduir el co
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flux i el transport (conductivitat
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Acknowledgements I want to thank my
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xx CONTENTS 3 Transport Upscaling U
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xxii CONTENTS
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xxiv LIST OF FIGURES 2.7 Flow compa
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xxvi LIST OF FIGURES 4.4 Reference
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xxviii LIST OF FIGURES
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1.1 Motivation and Objectives 1 Int
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CHAPTER 1. INTRODUCTION 3 Chapter 2
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6 CHAPTER 2. A COMPARATIVE STUDY OF
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8 CHAPTER 2. A COMPARATIVE STUDY OF
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10 CHAPTER 2. A COMPARATIVE STUDY O
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Page 70 and 71: 38 BIBLIOGRAPHY Berkowitz, B., Sche
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Page 74 and 75: 42 BIBLIOGRAPHY Salamon, P., Fernà
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Page 102 and 103: 70 BIBLIOGRAPHY Dagan, G., 1994. Up
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Page 106 and 107: 74 BIBLIOGRAPHY Zhang, Y., 2004. Up
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Page 134 and 135: 102 BIBLIOGRAPHY Durlofsky, L. J.,
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118 CHAPTER 5. JOINTLY MAPPING HYDR
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136 BIBLIOGRAPHY Chen, Y., Zhang, D
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138 BIBLIOGRAPHY Journel, A., 1974.
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140 BIBLIOGRAPHY Wen, X., Deutsch,
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142 CHAPTER 6. GROUNDWATER FLOW INV
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170 BIBLIOGRAPHY Deutsch, C. V., Jo
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172 BIBLIOGRAPHY Lee, S., Carle, S.
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174 BIBLIOGRAPHY Yeh, W., 1986. Rev
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176 CHAPTER 7. CONCLUSIONS travels
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178 CHAPTER 7. CONCLUSIONS predicti
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180 APPENDIX A. FLOWXYZ3D - A THREE
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182 APPENDIX A. FLOWXYZ3D - A THREE
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