A novel analytical solution for a slug test conducted in a well with a finite-thickness skin

Yeh, Hund‐Der; Yang, Shaw Yang

doi:10.1016/j.advwatres.2005.11.002

Cited by 37 publications

(25 citation statements)

References 22 publications

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“…Similar approximations of the Bessel functions can be found 3386 S.-Y. YANG AND H.-D. YEH in the works of Yeh and Yang (2006) and Yang and Yeh (2007).…”

Section: Numerical Inversion Of the Solutionsmentioning

confidence: 71%

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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“…Similar approximations of the Bessel functions can be found 3386 S.-Y. YANG AND H.-D. YEH in the works of Yeh and Yang (2006) and Yang and Yeh (2007).…”

Section: Numerical Inversion Of the Solutionsmentioning

confidence: 71%

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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“…Pumping tests conducted in a low storativity aquifer have been observed to be influenced by a zone of permeability reduction (positive skin) or enhancement (negative skin) in the neighborhood of the pumping well [29,30,39,[41][42][43][44] and hence this zone must be accounted for in the theoretical analysis of the problem. A skin region is generally formed during drilling of a well as a result of drilling mud or rock flour invasion and as such this zone has a lower conductivity (positive skin) than the formation zone.…”

Section: Introductionmentioning

confidence: 98%

“…A skin region is generally formed during drilling of a well as a result of drilling mud or rock flour invasion and as such this zone has a lower conductivity (positive skin) than the formation zone. However, in some circumstances, a zone of higher conductivity (negative skin) in the immediate vicinity of a well as compared to regions farther away from the well may also develop due to extensive spalling and fracturing of the wellbore during drilling and/or due to extensive well development [29,30,39,[41][42][43][44]. The skin hydraulics problem for an aquifer of infinite horizontal dimension was solved analytically by several investigators [5,6,11,13,14,20,29,[31][32][33]39,[41][42][43][44] utilizing different assumptions.…”

Section: Introductionmentioning

confidence: 99%

Hydraulics of a partially penetrating well with skin zone in a confined aquifer

Barua

Bora

2010

Advances in Water Resources

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“…The well skin is usually developed outside the wellbore because of the well construction (Novakowski 1989;Park and Zhan 2002;Chang and Chen 2002;Yeh and Yang 2006;Yeh and Chang 2013;Houben 2015b). In general, the well skin can be classified into two types, the infinitesimal skin and finite thickness skin.…”

Section: Introductionmentioning

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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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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A novel analytical solution for a slug test conducted in a well with a finite-thickness skin

Cited by 37 publications

References 22 publications

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

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

Hydraulics of a partially penetrating well with skin zone in a confined aquifer

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

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