2004
DOI: 10.1002/hyp.1411
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Application of spectral analysis to determine hydraulic diffusivity of a sandy aquifer (Pingtung County, Taiwan)

Abstract: Abstract:The study demonstrates spectral relationships in the time-frequency domain for one-dimensional groundwater flow in aquifers bounded by fluctuating boundaries. By nature, the solutions of spectral equations are non-linear complex functions. To determine hydraulic diffusivity in the governing equations, it is required that the data are collected from the spectra of water levels at the fluctuating boundaries and observation wells. Hydraulic diffusivity thus can be obtained by an iterative inverse approac… Show more

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Cited by 23 publications
(13 citation statements)
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References 12 publications
(20 reference statements)
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“…They show that the external disturbance for these parameters is quite complicated. Similar phenomena were demonstrated in other studies (Shih et al, 1999Shih, 1999aShih, , 1999bShih, , 2000Shih, , 2002Shih and Lin, 2002;2004). In this study, relative ground water head supersede the actual ground water level due to losing record of reference level.…”
Section: Introductionsupporting
confidence: 90%
See 1 more Smart Citation
“…They show that the external disturbance for these parameters is quite complicated. Similar phenomena were demonstrated in other studies (Shih et al, 1999Shih, 1999aShih, , 1999bShih, , 2000Shih, , 2002Shih and Lin, 2002;2004). In this study, relative ground water head supersede the actual ground water level due to losing record of reference level.…”
Section: Introductionsupporting
confidence: 90%
“…As such, data of the disturbed ground water levels, upon application of relevant boundary conditions, can be expressed mathematically by using the spectral relationships through time-frequency domain of tidal effects. With this approach, the spectral characteristics of field data can be used to solve for hydraulic diffusivity as a ratio of transmissivity and storage coefficient (Shih, 1999a,b;Shih and Lin, 2004). Therefore, it is an alternative approach to study aquifer parameters in a large scale by using data from a relevant setting of boundary conditions and water level fluctuation in observation wells.…”
Section: Introductionmentioning
confidence: 99%
“…The methodology of stationary spectral analysis can be found in detail in the updated work of Bendat and Piersol (2000). Many advanced applications in geosciences for obtaining spectral estimates are also found in the relevant studies (Shih et al 1999Shih 1999aShih , b, 2000Shih , 2002 Lin 2002Lin , 2004Shih 2008;Shih et al 2008a, b). Detailed procedure and computation for spectral analysis can be reviewed on the above-mentioned studies.…”
Section: Spectral Analysismentioning
confidence: 93%
“…The literature on methods for assessing hydraulic diffusivity of porous media aquifers is vast. The most direct method is probably the inverse modelling of hydraulic head fluctuations regulated by groundwater flow equations (Gilmore 1992, Ha et al 2007, Guo et al 2010, Pacheco 2013 or spectral relationships (Shih and Lin 2004), because diffusivity is the unknown parameter in these equations or relationships. In line with this method is the analysis of river baseflows (Baloochestani 2008) or more specific algorithms such as the drawdown ratio technique (Neuman andWitherspoon 1972, Leahy 1976).…”
Section: Introductionmentioning
confidence: 99%