Groundwater flow Analysis and Computation for Zones of Large Hydrodynamic Conductivity Difference

• Main Authors: I-Fan Wei, 衛亦凡
• Other Authors: 黃良雄
• Format: Others
• Language: zh-TW
• Published: 2016
• Online Access: http://ndltd.ncl.edu.tw/handle/48332885398300369782

碩士 === 國立臺灣大學 === 土木工程學研究所 === 104 === Groundwater has a wide range distribution in all kinds of terrain. A huge order difference between the horizontal and vertical depth scale may cause the problem of massive computation and low accuracy in complete three dimensional groundwater flow. In dealing with this kind of problem, by using regular perturbation theory to separate the exact solution to the first order term and the higher-order terms, which could deal with large hydrodynamic conductivity difference in the groundwater computation and make the computation model of groundwater much more complete and diversified. In this study, the groundwater flow model follows Tsai’s(2000), the concept of layered three-dimensional groundwater flow simulation is proposed. Every layer is vertically integrated with an assumption that satisfies quadratic polynomial function and the interface between two layers must satisfies the continuity of pressure and flux too, however, the model is not efficient on dealing with large hydrodynamic conductivity difference in the groundwater computation, we continue and improve the development of this model to make the model better. The present study is introduced in the regular perturbation expansion of solving the boundary value problem for order(0) and order(ε) by Laplace Equation. Second, compute the same case by using Finite Difference Method to test how reasonable and match of the exact solution and the numerical methods.