| Summary: | 碩士 === 國立臺灣海洋大學 === 河海工程學系 === 103 === Groundwater Seepage has been one of the iconic problems in the field of geotechnical engineering. Because of the specific geological condition in Taiwan, the groundwater resource is abundant. Consequently, the groundwater is often encountered and caused engineering problems. It is therefore necessary to further study the groundwater problems.
In this study, the numerical solutions of transient groundwater flow in a layered soil using the method of fundamental solutions (MFS) is presented. For solving the transient groundwater problems, the MFS coupled with the method of particular solutions (MPS) with the use of the radial basis function was proposed. In addition, the domain decomposition method was adopted to solve the groundwater flow in layered soil profiles where the flux conservation and the continuity of groundwater head at the interface between two consecutive layers were considered in the numerical model. The validity of the model is established for a number of test problems, including problems in simply connected, doubly connected, and multiply connected domains, by comparing numerical results with the analytical solutions.
In order to further apply the proposed numerical model to engineering problems, several application examples, including the sheet-pile problem and the groundwater seepage analysis of gravity dam, were carried out. In addition, the problems of groundwater flow in a layered soil were also carried out. The results show that the proposed numerical method based on the MFS has been demonstrated as a promising mesh-free numerical tool to solve the transient groundwater flow problems in layered soil.
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