Mathematical Modeling and Numerical Simulation for Transport Phenomena in Porous Medium

碩士 === 國立中央大學 === 數學系 === 101 === This study discussed the law of groundwater movement and the groundwater environment, and constructed a mathematical model of groundwater movement. The environment was set as groundwater transport of solute in the saturated layer. The focus of this study was the phy...

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Bibliographic Details
Main Authors: Wan-Ying Lin, 林宛瑩
Other Authors: John M. Hong
Format: Others
Language:en_US
Published: 2013
Online Access:http://ndltd.ncl.edu.tw/handle/k7avak
Description
Summary:碩士 === 國立中央大學 === 數學系 === 101 === This study discussed the law of groundwater movement and the groundwater environment, and constructed a mathematical model of groundwater movement. The environment was set as groundwater transport of solute in the saturated layer. The focus of this study was the physical phenomenon of concentration of solute in groundwater through porous medium. The solute transport model was influenced by advection, dispersion and dif- fusion. The physical parameters or empirical parameters related to groundwater solute transport and the mode of expression and physical significance of these parameters were discussed. Some chemical reactions of groundwater solute in the groundwater environment also influenced the migration and distribution of concentration, such as radioactive decay, infusion and exploitation, adsorption and desorption. These chemical reactions were con- sidered to approximate the mathematical modeling to real environment. Some numerical methods and values were used to simulate the solute in groundwater environment, the concentration migration and distribution of groundwater in the computing range under the effects of advection, diffusion, reaction and porosity.