The use of sensitivity analysis in on-line aquifer parameter estimation

Huang, Yann-Chang; Yeh, Hund‐Der

doi:10.1016/j.jhydrol.2006.12.007

Cited by 84 publications

(34 citation statements)

References 33 publications

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“…A method of the normalized sensitivity analysis proposed by Huang and Yeh (2007) is adopted in this study. For a given parameter, the normalized sensitivity of the parameter can be defined as:…”

Section: Sensitivity Analysismentioning

confidence: 99%

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Non-Darcian flow to a partially penetrating well in a confined aquifer with a finite-thickness skin

Feng

Wen

2016

Hydrogeol J

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Non-Darcian flow to a partially penetrating well in a confined aquifer with a finite-thickness skin was investigated. The Izbash equation is used to describe the non-Darcian flow in the horizontal direction, and the vertical flow is described as Darcian. The solution for the newly developed nonDarcian flow model can be obtained by applying the linearization procedure in conjunction with the Laplace transform and the finite Fourier cosine transform. The flow model combines the effects of the non-Darcian flow, partial penetration of the well, and the finite thickness of the well skin. The results show that the depression cone spread is larger for the Darcian flow than for the non-Darcian flow. The drawdowns within the skin zone for a fully penetrating well are smaller than those for the partially penetrating well. The skin type and skin thickness have great impact on the drawdown in the skin zone, while they have little influence on drawdown in the formation zone. The sensitivity analysis indicates that the drawdown in the formation zone is sensitive to the power index (n), the length of well screen (w), the apparent radial hydraulic conductivity of the formation zone (K r2 ), and the specific storage of the formation zone (S s2 ) at early times, and it is very sensitive to the parameters n, w and K r2 at late times, especially to n, while it is not sensitive to the skin thickness (r s ).

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Section: Sensitivity Analysismentioning

confidence: 99%

“…4 The effect of skin thickness on the drawdown for different pumping time: a negative skin with γ = 0.5; b positive skin with γ = 2 derivative in Eq. (35), a finite difference formula adopted by Huang and Yeh (2007) is used as:…”

Section: Sensitivity Analysismentioning

confidence: 99%

Non-Darcian flow to a partially penetrating well in a confined aquifer with a finite-thickness skin

Feng

Wen

2016

Hydrogeol J

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“…With the present solution, one can easily perform the sensitivity analysis for two-zone confined aquifer systems to assess the overall responsiveness and sensitivity to targeted parameters (e.g. Huang and Yeh, 2007). distribution.…”

Section: Potential Applicationsmentioning

confidence: 99%

Transient drawdown solution for a constant pumping test in finite two-zone confined aquifers

Wang

Hund-Der

Tsai

2012

Hydrol. Earth Syst. Sci.

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Abstract. The drawdown solution has been widely used toanalyze pumping test data for the determination of aquifer parameters when coupled with an optimization scheme. The solution can also be used to predict the drawdown due to pumping and design the dewatering system. The drawdown solution for flow toward a finite-radius well with a skin zone in a confined aquifer of infinite extent in radial direction had been developed before. To our best knowledge, the drawdown solution in confined aquifers of finite extent with a skin zone so far has never before been presented in the groundwater literature. This article presents a mathematical model for describing the drawdown distribution due to a constantflux pumping from a finite-radius well with a skin zone in confined aquifers of finite extent. The analytical solution of the model is developed by applying the methods of Laplace transforms, Bromwich contour integral, and residue theorem. This solution can be used to investigate the effects of finite boundary and conductivity ratio on the drawdown distribution. In addition, the inverse relationship between Laplaceand time-domain variables is used to develop the large time solution which can reduce to the Thiem solution if there is no skin zone.

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“…the drawdown distribution. Huang and Yeh (2007) provided a normalized sensitivity to assess the effect of relative changes in parameters on dependent variable. The normalized sensitivity of a dependent where X 0 i,j is the normalized sensitivity of the jth parameter (P j ) at the ith time.…”

Section: Sensitivity Analysismentioning

confidence: 99%

Radial groundwater flow to a finite diameter well in a leaky confined aquifer with a finite‐thickness skin

Yang

Yeh

2009

Hydrological Processes

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Abstract:A mathematical model that describes the drawdown due to constant pumpage from a finite radius well in a two-zone leaky confined aquifer system is presented. The aquifer system is overlain by an aquitard and underlain by an impermeable formation. A skin zone of constant thickness exists around the wellbore. A general solution to a two-zone leaky confined aquifer system in Laplace domain is developed and inverted numerically to the time-domain solution using the modified Crump (1976) algorithm. The results show that the drawdown distribution is significantly influenced by the properties and thickness of the skin zone and aquitard. The sensitivity analyses of parameters of the aquifer and aquitard are performed to illustrate their effects on drawdowns in a two-zone leaky confined aquifer system. For the negative-skin case, the drawdown is very sensitive to the relative change in the formation transmissivity. For the positive-skin case, the drawdown is also sensitive to the relative changes in the skin thickness, and both the skin and formation transmissivities over the entire pumping period and the well radius and formation storage coefficient at early pumping time.

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The use of sensitivity analysis in on-line aquifer parameter estimation

Cited by 84 publications

References 33 publications

Non-Darcian flow to a partially penetrating well in a confined aquifer with a finite-thickness skin

Non-Darcian flow to a partially penetrating well in a confined aquifer with a finite-thickness skin

Transient drawdown solution for a constant pumping test in finite two-zone confined aquifers

Radial groundwater flow to a finite diameter well in a leaky confined aquifer with a finite‐thickness skin

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