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

Barua, Gautam; Bora, Swaroop Nandan

doi:10.1016/j.advwatres.2010.09.008

Cited by 23 publications

(20 citation statements)

References 40 publications

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“…Cassiani et al [6] proposed a semianalytical expression for a flowing partially penetrating well with infinitesimal skin situated in an anisotropic confined aquifer. Other researches with regard to CHT conducted in confined aquifers can also be found in literatures [5,49,50]. For unconfined aquifers, for example, Chen and Chang [51] considered the skin effect and developed a wellhydraulic theory for CHT in unconfined aquifers.…”

Section: Constant Head Testmentioning

confidence: 97%

“…By also considering the skin storativity, Moench and Hsieh [168] further extended their solution in Moehch and Hsieh [165] to solve the flow equations in both skin and formation zones and developed the head distributions for slug tests. Many other recent studies have modeled the two-zone aquifer system for CHTs [5,50,167], for CRTs [34,37,38,161,169,170], and for slug tests [167,171]. In addition, Perina and Lee [153] further derived a generalized solution which is applicable to CHT, CRT, and slug test in the two-zone aquifer system.…”

Section: Finite Thickness Of Skinmentioning

confidence: 98%

“…The third is the domain decomposition method which divides the flow domain into two or several sub-regions and each region has its own flow equation and associated initial and boundary conditions [5,52,53]. The flow equations are then solved simultaneously via the continuity conditions for the hydraulic head and flow rate at the interfaces of the sub-regions.…”

Section: Effect Of Partial Penetration In Constant Head Testmentioning

confidence: 99%

“…Most of existing analytical solutions in the well-hydraulic literature are developed by assuming that the aquifer is of infinite extent in horizontal direction. Studies on the groundwater problems in an aquifer with a horizontally finite boundary are very limited [5].…”

Section: Aquifer Of Finite or Infinite Extent In Horizontal Directionmentioning

confidence: 99%

See 3 more Smart Citations

Recent advances in modeling of well hydraulics

Yeh¹,

Chang²

2013

Advances in Water Resources

124

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Section: Constant Head Testmentioning

confidence: 97%

Section: Finite Thickness Of Skinmentioning

confidence: 98%

Section: Effect Of Partial Penetration In Constant Head Testmentioning

confidence: 99%

Section: Aquifer Of Finite or Infinite Extent In Horizontal Directionmentioning

confidence: 99%

See 2 more Smart Citations

Recent advances in modeling of well hydraulics

Yeh¹,

Chang²

2013

Advances in Water Resources

124

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“…With a finite‐thickness skin, the flow in the aquifer becomes more complicated because the aquifer should be divided into two different zones (skin zone and formation zone). The finite‐thickness well skin has also been extensively studied recently. For instance, Yeh et al obtained a semi‐analytical solution for a slug test in a partially penetrating well with a finite‐thickness skin.…”

Section: Introductionmentioning

confidence: 99%

Approximate analytical and numerical solutions for radial non‐Darcian flow to a well in a leaky aquifer with wellbore storage and skin effect

Wen

Wang

2012

Num Anal Meth Geomechanics

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SUMMARY This study investigated non‐Darcian flow to a well in a leaky aquifer considering wellbore storage and a finite‐thickness skin. The non‐Darcian flow is described by the Izbash equation. We have used a linearization procedure associated with the Laplace transform to solve such a non‐Darcian flow model. Besides, the Stehfest method has been used to invert the Laplace domain solutions for the drawdowns. We further analyzed the drawdowns inside the well for different cases. The results indicated that a smaller BD results in a smaller drawdown at late times and the leakage has little effect on the drawdown inside the well at early times, where BD is a dimensionless parameter reflecting the leakage. We have also found that the flow for the negative skin case approaches the steady‐state earlier than that for the positive skin. In addition, the drawdown inside the well with a positive skin is larger than that without skin effect at late times, and a larger thickness of the skin results in a greater drawdown inside the well at late times for the positive skin case. A reverse result has been found for the negative skin case. Finally, we have developed a finite‐difference solution for such a non‐Darcian flow model and compared the numerical solution with the approximate analytical solution. It has been shown that the linearization procedure works very well for such a non‐Darcian flow model at late times, and it underestimates the drawdowns at early times. Copyright © 2012 John Wiley & Sons, Ltd.

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Steady flow to a partially penetrating blind‐wall well in a confined aquifer

Behrooz-Koohenjani

Samani

Kompani-Zare

2012

Hydrological Processes

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Wells in aquifers of loose collapsible sediment are cased so that they have a blind wall and gain water only from the bottom. The hydraulic gradient established at the bottom of these wells during pumping brings the aquifer materials in a quicksand state, which may cause abrasion of pipes and pumps and even the destruction of well structure. To examine the quicksand occurrence, an analytical solution for the steady flow to a partially penetrating blind-wall well in a confined aquifer is developed. The validity of the proposed solution is evaluated numerically. The sensitivity of maximum vertical gradient along the well bottom in response to aquifer and well parameters is examined. The solution is presented in the form of dimensionless-type curves and equations that can be easily used to design the safe pumping rate and optimum well geometry to protect the well against sand production. The solution incorporates the anisotropy of aquifer materials and can also be used to determine the hydraulic conductivity of the aquifer.

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

Cited by 23 publications

References 40 publications

Recent advances in modeling of well hydraulics

Recent advances in modeling of well hydraulics

Approximate analytical and numerical solutions for radial non‐Darcian flow to a well in a leaky aquifer with wellbore storage and skin effect

Steady flow to a partially penetrating blind‐wall well in a confined aquifer

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