A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems
碩士 === 國立臺灣大學 === 土木工程研究所 === 81 === A regional numerical model is developed for the simulation of transient seawater intrusion in two-layer coastal aquifers in this research. According to the theory of groundwater flow and seawater intrusi...
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ndltd-TW-081NTU000150582016-07-20T04:11:53Z http://ndltd.ncl.edu.tw/handle/54160737567736875603 A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems 雙層滲漏含水層海水入侵交界面數值模式之建立 Chang,Hsiu-Chi 張修齊 碩士 國立臺灣大學 土木工程研究所 81 A regional numerical model is developed for the simulation of transient seawater intrusion in two-layer coastal aquifers in this research. According to the theory of groundwater flow and seawater intrusion, the model can be applied to locate the position and shape of interface in two-layer aquifers seperated by an aquitard. The sharp interface assumption which assumes seawater and fresh water are not mixed is adopted here. The Dupuit assumption and vertical integral are used to simplify the 3-D mathematical model which is difficult to solve. The combining governing equations of seawater and fresh water in each aquifer are flow equations of groundwater. The Hubbert's equation is used to couple seawater and fresh water in each aquifer. The numerical model adopts the Picard's Iteration Method to linearize the nonlinear equations. The Galerkin Finite Element Method and the Finite Difference Method are used to discretize the space domain and time domain to form matrix equation, and the matrix solver is the Conjugated Gradient Method. The exact analytical solution of four examples are presented to verify the numerical model. The discrepancy between the Ghyben - Herzberg equation and Hubbert equation is also discussed in this research. The results are compared very favorably or consistent with the physics. Hsu,Nien-Sheng 徐年盛 1993 學位論文 ; thesis 118 zh-TW |
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碩士 === 國立臺灣大學 === 土木工程研究所 === 81 === A regional numerical model is developed for the simulation of
transient seawater intrusion in two-layer coastal aquifers in
this research. According to the theory of groundwater flow and
seawater intrusion, the model can be applied to locate the
position and shape of interface in two-layer aquifers seperated
by an aquitard. The sharp interface assumption which assumes
seawater and fresh water are not mixed is adopted here. The
Dupuit assumption and vertical integral are used to simplify
the 3-D mathematical model which is difficult to solve. The
combining governing equations of seawater and fresh water in
each aquifer are flow equations of groundwater. The Hubbert's
equation is used to couple seawater and fresh water in each
aquifer. The numerical model adopts the Picard's Iteration
Method to linearize the nonlinear equations. The Galerkin
Finite Element Method and the Finite Difference Method are used
to discretize the space domain and time domain to form matrix
equation, and the matrix solver is the Conjugated Gradient
Method. The exact analytical solution of four examples are
presented to verify the numerical model. The discrepancy
between the Ghyben - Herzberg equation and Hubbert equation is
also discussed in this research. The results are compared very
favorably or consistent with the physics.
|
author2 |
Hsu,Nien-Sheng |
author_facet |
Hsu,Nien-Sheng Chang,Hsiu-Chi 張修齊 |
author |
Chang,Hsiu-Chi 張修齊 |
spellingShingle |
Chang,Hsiu-Chi 張修齊 A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
author_sort |
Chang,Hsiu-Chi |
title |
A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
title_short |
A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
title_full |
A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
title_fullStr |
A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
title_full_unstemmed |
A Numerical Model for Simulating Sharp - Interface of Seawater Intrusion in Aquifer - Aquitard Systems |
title_sort |
numerical model for simulating sharp - interface of seawater intrusion in aquifer - aquitard systems |
publishDate |
1993 |
url |
http://ndltd.ncl.edu.tw/handle/54160737567736875603 |
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