This book is concerned with the mathematical description and numerical modeling of subsurface media. It is about the subsurface media that control the movement of fluids (including water, nonaqueous liquids, and gas), the migration of chemicals, the transfer of heat, and the deformation of media. It is about the physical laws that describe the flux of fluid, heat, and chemicals, and the relationship between stress and strain. It is about the chemical reactions along with fluid flows. It is about the biological interaction within the flow and thermal domain and among chemical constituents. It is about numerical methods needed to conduct simulations of both fluid flows and advection-dominant transport. In short, the study of the subsurface system is the investigation of major processes occurring in the subsurface and the interplay of these processes with the media through which they occur. Understanding the mechanisms controlling the occurrence of these processes and their interplay is the ultimate goal of this book because it provides a method for the prediction of the occurrence of these processes in the media. To make this goal possible, accurate numerical methods to efficiently and accurately approximate mathematical descriptions are of ultimate importance. Extensive coverages of finite element methods used in fluid flows and hybrid Lagrangian-Eulerian approaches best suited to deal with advection-dominant transport are included.
KeywordsPorous Medium Representative Elemental Volume Phreatic Aquifer External Body Force Subsurface System
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- Bear, J. 1979. Hydraulics of Groundwater. New York: McGraw-Hill.Google Scholar
- Bird, R. B., W. E. Stewart, and E. N. Lightfoot. 1960. Transport Phenomena. New York: Wiley.Google Scholar
- Bowen, R. M. 1976. Theory of mixtures: In A. C. Eringen ed., Continuum Physics. Vol. 3, Pt. I. New York: Academic Press.Google Scholar
- Fick, A. E. 1855. Philosophical Magazine. 10:30.Google Scholar
- Greenkorn, Robert A. 1983. Flow Phenomena in Porous Media. New York: Marcel Dekker.Google Scholar
- Mercer, J. W. and C. R. Faust. 1981. Ground-Water Modeling. National Water Well Association.Google Scholar
- Owczarek, J. A. 1964. Fundamental of Gas Dynamics. Scranton, PA: International Textbook.Google Scholar
- Todd, D. K. 1980. Groundwater Hydrology. 2nd Ed. New York: Wiley.Google Scholar