Conditional expectation for evaluation of risk groundwater flow and solute transport: one-dimensional analysis

Liou, Tai Sheng; Yeh, Hund‐Der

doi:10.1016/s0022-1694(97)00025-5

Cited by 44 publications

(24 citation statements)

References 23 publications

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“…Generally, input parameters of a groundwater flow model may subject to various sorts of uncertainty caused by errors of measurements, absence of information, poor understanding of the flow mechanisms, and so on (Jiao and Rushton, 1995;Liou and Yeh, 1997). Therefore, to create a more accurate and reliable model, it is always helpful to know how the uncertainty in the output could be apportioned to its inputs, where sensitivity analysis is one of the most powerful techniques to meet this need (Jiao and Rushton, 1995;McElwee and Yukler, 1978).…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…Therefore, to create a more accurate and reliable model, it is always helpful to know how the uncertainty in the output could be apportioned to its inputs, where sensitivity analysis is one of the most powerful techniques to meet this need (Jiao and Rushton, 1995;McElwee and Yukler, 1978). The sensitivity of a dependent variable can be defined as (Jiao and Rushton, 1995;Liou and Yeh, 1997):…”

Section: Sensitivity Analysismentioning

confidence: 99%

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Non-Darcian effect on slug test in a leaky confined aquifer

Wang

Zhan

Wang

2015

Journal of Hydrology

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Section: Sensitivity Analysismentioning

confidence: 99%

Section: Sensitivity Analysismentioning

confidence: 99%

Non-Darcian effect on slug test in a leaky confined aquifer

Wang

Zhan

Wang

2015

Journal of Hydrology

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“…Generally, the sensitivity analysis (Liou and Yeh, 1997) can be performed to assess the impacts of parameter uncertainty on the predicted drawdown. If the predicted drawdown is very sensitive to a specific parameter, a small change in that parameter will result in a large change in the predicted drawdown.…”

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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“…This method is helpful in assessing how a model responds to the change in certain parameters. The sensitivity of a dependent variable in response to the change in a parameter is defined as (Liou and Yeh, 1997) …”

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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Conditional expectation for evaluation of risk groundwater flow and solute transport: one-dimensional analysis

Cited by 44 publications

References 23 publications

Non-Darcian effect on slug test in a leaky confined aquifer

Non-Darcian effect on slug test in a leaky confined aquifer

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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