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Article: Semi-numerical simulation of groundwater flow induced by periodic forcing with a case-study at an island aquifer

TitleSemi-numerical simulation of groundwater flow induced by periodic forcing with a case-study at an island aquifer
Authors
KeywordsAquifer parameter estimation
Coastal aquifer
Complex amplitude
Fourier analysis
Least-squares fitting
Periodic forcing
Periodic solution
Semi-numerical solution
Watertable fluctuation
Issue Date2006
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jhydrol
Citation
Journal Of Hydrology, 2006, v. 327 n. 3-4, p. 438-446 How to Cite?
AbstractThis paper presents an efficient method to analyze the aquifer response to periodic forcing. A complex transformation is used to change the time-dependent linear aquifer model into an equivalent time-independent problem of a complex function (referred to as the "complex amplitude" hereafter). The magnitude of the complex amplitude represents the amplitude of the sinusoidal fluctuation of the groundwater level, and the argument of the complex amplitude, the phase shift of the fluctuation. Different iterative methods can be used to obtain the numerical solution. A semi-analytical numerical solution of the groundwater level, which is numerical for the spatial variables and analytical for the time variable, can be obtained by implementing a simple inverse complex transform to the complex amplitude. The advantages of the time-independent method include ruling out of initial conditions, direct outputs of the amplitude and phase shift of different sinusoidal components of the water level fluctuations. On the contrary, the numerical solutions of the time-dependent model need further computational efforts for the analyses of the amplitudes and phase shifts of different sinusoidal components, and have to consider an initial condition whose impacts on the periodicity have to be eliminated by running sufficiently great number of tidal circles. A case study at an unconfined aquifer formed by fill materials near Lam Chau Island, Hong Kong SAR, PR China shows the applicability of the semi-numerical solution to analyze tide-induced watertable fluctuations. The aquifer parameters were estimated by minimizing a least-squares objective function to fit the complex amplitude of semidiurnal and diurnal components of the observed water level fluctuations. Compared with the parameter estimations of some of the previous analytical solutions, the numerical method gives not only better fitting to the water level observations, but also more aquifer parameters. © 2006 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/72505
ISSN
2015 Impact Factor: 3.043
2015 SCImago Journal Rankings: 1.743
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLi, Hen_HK
dc.contributor.authorJiao, JJen_HK
dc.contributor.authorTang, Zen_HK
dc.date.accessioned2010-09-06T06:42:28Z-
dc.date.available2010-09-06T06:42:28Z-
dc.date.issued2006en_HK
dc.identifier.citationJournal Of Hydrology, 2006, v. 327 n. 3-4, p. 438-446en_HK
dc.identifier.issn0022-1694en_HK
dc.identifier.urihttp://hdl.handle.net/10722/72505-
dc.description.abstractThis paper presents an efficient method to analyze the aquifer response to periodic forcing. A complex transformation is used to change the time-dependent linear aquifer model into an equivalent time-independent problem of a complex function (referred to as the "complex amplitude" hereafter). The magnitude of the complex amplitude represents the amplitude of the sinusoidal fluctuation of the groundwater level, and the argument of the complex amplitude, the phase shift of the fluctuation. Different iterative methods can be used to obtain the numerical solution. A semi-analytical numerical solution of the groundwater level, which is numerical for the spatial variables and analytical for the time variable, can be obtained by implementing a simple inverse complex transform to the complex amplitude. The advantages of the time-independent method include ruling out of initial conditions, direct outputs of the amplitude and phase shift of different sinusoidal components of the water level fluctuations. On the contrary, the numerical solutions of the time-dependent model need further computational efforts for the analyses of the amplitudes and phase shifts of different sinusoidal components, and have to consider an initial condition whose impacts on the periodicity have to be eliminated by running sufficiently great number of tidal circles. A case study at an unconfined aquifer formed by fill materials near Lam Chau Island, Hong Kong SAR, PR China shows the applicability of the semi-numerical solution to analyze tide-induced watertable fluctuations. The aquifer parameters were estimated by minimizing a least-squares objective function to fit the complex amplitude of semidiurnal and diurnal components of the observed water level fluctuations. Compared with the parameter estimations of some of the previous analytical solutions, the numerical method gives not only better fitting to the water level observations, but also more aquifer parameters. © 2006 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/jhydrolen_HK
dc.relation.ispartofJournal of Hydrologyen_HK
dc.rightsJournal of Hydrology. Copyright © Elsevier BV.en_HK
dc.subjectAquifer parameter estimationen_HK
dc.subjectCoastal aquiferen_HK
dc.subjectComplex amplitudeen_HK
dc.subjectFourier analysisen_HK
dc.subjectLeast-squares fittingen_HK
dc.subjectPeriodic forcingen_HK
dc.subjectPeriodic solutionen_HK
dc.subjectSemi-numerical solutionen_HK
dc.subjectWatertable fluctuationen_HK
dc.titleSemi-numerical simulation of groundwater flow induced by periodic forcing with a case-study at an island aquiferen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-1694&volume=327 &issue=3-4&spage=438&epage=446 &date=2006&atitle=Semi-numerical+simulation+of+groundwater+flow+induced+by+periodic+forcing+with+a+case-study+at+an+island+aquiferen_HK
dc.identifier.emailJiao, JJ:jjiao@hku.hken_HK
dc.identifier.authorityJiao, JJ=rp00712en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jhydrol.2005.11.032en_HK
dc.identifier.scopuseid_2-s2.0-33746256772en_HK
dc.identifier.hkuros114321en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33746256772&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume327en_HK
dc.identifier.issue3-4en_HK
dc.identifier.spage438en_HK
dc.identifier.epage446en_HK
dc.identifier.isiWOS:000239870900013-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLi, H=35769216800en_HK
dc.identifier.scopusauthoridJiao, JJ=7102382963en_HK
dc.identifier.scopusauthoridTang, Z=14012663900en_HK

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