Vertical Single-Well Pulse Testing of a Three-Layer Stratified Reservoir

Lee, S.T.; Chien, M.C.H.; Culham, W.E.

doi:10.2523/13249-ms

Cited by 13 publications

(5 citation statements)

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“…(4). Lee et al [58], among others, pointed out that the choice of N should range from 10 to 14. Knight and Raiche [59] recommended that N should be approximately equal to the number of decimal digits used by the computer in the calculation.…”

Section: The Stehfest Methodsmentioning

confidence: 99%

On different numerical inverse Laplace methods for solute transport problems

Wang

Zhan

2015

Advances in Water Resources

118

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Section: The Stehfest Methodsmentioning

confidence: 99%

On different numerical inverse Laplace methods for solute transport problems

Wang

Zhan

2015

Advances in Water Resources

118

View full text Add to dashboard Cite

“…The accuracy of the result is a function of N. The accuracy will increase first with the augment of N then decline because of the increasing round-off errors. 40 An optimal choice of 10 ≤ N ≤ 14 was reported by Lee et al 41 Here N is chosen to be 10.…”

Section: Analytical Solutionsmentioning

confidence: 99%

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Yan

Xie

Wang

et al. 2020

Num Anal Meth Geomechanics

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Cutoff walls are widely used as in-situ geoenvironmental barriers to isolate the contaminants caused by landfill leakage, chemical storage tank accidents, and mining activities. A two-dimensional analytical solution is developed to investigate the behavior of organic chemical transport in cutoff wall and aquifer. The method of Laplace transforms and finite Fourier cosine transform is adopted to derive the solution for a finite domain. The proposed analytical solutions are verified by the numerical approach. The effects of contaminant source distribution, aquifer scale, direction of flow rate, degradation, adsorption, and thickness of cutoff wall were investigated. The investigation of non-uniformly distribution of contamination sources indicates that the 1-D models lead to a more conservative result compared to the 2-D models. Biodegradation will be a dominant process and significantly enhance the performances of the barrier system when the half-life of contaminant is less than 4 years. Furthermore, the effect of dimension on breakthrough time can be augmented with the increase of distribution coefficient.

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“…The parameters s 1 and n must be optimized for increasing accuracy. Lee et al [37] suggested values of s 1 t D between 4 and 5.…”

Section: Semianalytical Solutionmentioning

confidence: 99%

Groundwater response to dual tidal fluctuations in a peninsula or an elongated island

Wang

Zhan

Tang

2012

Num Anal Meth Geomechanics

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SUMMARY Groundwater flow in a peninsula or an elongated island is influenced by tidal fluctuations on both sides of the peninsula or island, which is named as dual tidal fluctuations. In this study, semianalytical solutions of transient groundwater flow in response to dual tidal fluctuations in an aquifer–aquitard system were presented for cases with and without the aquitard storage. These solutions were first derived using the Laplace transform and subsequently computed by the Fourier series numerical inverse Laplace transform. The derived solutions were found to agree very well with the results of numerical simulations by MODFLOW. The solution ignoring the aquitard storage approached the quasi‐steady state solution quickly when the mean sea level initial condition was used. The solutions with and without the aquitard storage were nearly the same at the early time and were separated from each other during the intermediate time, and the difference of solutions became constant at late time for small aquifer/aquitard storativity ratio and large tidal frequency. The propagation bias, which is the departure from the theoretical ratio of tidal attenuation to tidal lag, was enhanced not only with increase of the dimensionless specific leakage (aquitard/aquifer hydraulic conductance ratio) but also with decrease of the aquifer/aquitard storativity ratio and with the increase of the dimensionless tidal frequency. The solution with the aquitard storage was more sensitive to these three parameters. The newly developed solutions were capable of handling realistic initial conditions that might be approximated by piecewise linear functions. Copyright © 2012 John Wiley & Sons, Ltd.

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Vertical Single-Well Pulse Testing of a Three-Layer Stratified Reservoir

Cited by 13 publications

References 0 publications

On different numerical inverse Laplace methods for solute transport problems

On different numerical inverse Laplace methods for solute transport problems

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Groundwater response to dual tidal fluctuations in a peninsula or an elongated island

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