Mathematical Modeling and Numerical Simulation for Transport Phenomena in Porous Medium

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题名:	Mathematical Modeling and Numerical Simulation for Transport Phenomena in Porous Medium
作者:	林宛瑩;Lin,Wan-Ying
贡献者:	數學系
关键词:	多孔介質;飽和層;移流;延散;擴散;吸附與解吸;Porous medium;saturated layer;advection;dispersion;diffusion;adsorption and desorption
日期:	2013-08-21
上传时间:	2013-10-08 15:26:23 (UTC+8)
出版者:	國立中央大學
摘要:	本篇論文目的在於理解地下水運動的規律和地下水環境，探討並建立地下水運動的數學模型。論文中，我們設定我們的環境為飽和層中溶質的地下水傳輸，我們著重於地下水中溶質的濃度傳輸在通過多孔介質時所遵循的物理現象。溶質傳輸模式受移流、延散、擴散影響。並探討地下水溶質運移所涉及的物理參數或經驗參數，以及這些參數的表達方式和物理意義。地下水溶質在地下水環境的一些化學反應，也會影響濃度的傳輸分布，如放射性衰變、注入與開採、吸附與解吸，加以考慮這些化學反應，使數學建模更能貼近現實環境。採用一些數值方法以及數值模擬溶質在地下水環境中，當受到移流、擴散、反應、孔隙度等的不同狀態影響下，地下水在計算範圍內濃度的傳輸分布情形。 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.
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