Flow to a Partially Penetrating Well in a Double‐Porosity Reservoir

Dougherty, David E.; Babu, D.K.

doi:10.1029/wr020i008p01116

Cited by 106 publications

(62 citation statements)

References 12 publications

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“…Others are those depicting: linear/pseudoradial flow (Gringarten et al (1975)) for single vertical and horizontal fractures (SVF and SHF); pseudo-equilibrium and delayed yield effects (Boulton 1954;Neuman 1972 andStrelsova 1976); generalized radial flow in single-and double-porosity fractured aquifers (Barker 1988); and leaky aquifers (Hantush (1960) and Moench (1985) . Dual-porosity responses have been described by Moench (1984) and Dougherty and Babu (1984); however, Odeh (1965) and Carlson (1999) have indicated that they may be scale dependent.…”

Section: Analytical Techniquesmentioning

confidence: 99%

“…The AQTESOLV ® software for analysis of aquifer tests (Hydrosolve, Inc. 2007) uses a modified version of the deconvolution methods contained in Birsoy and Summers (1980) that allows automated fitting of type curves to step-test data. Application of the modified Dougherty-Babu (1984) solution to the data from the uncorrected (b = 43.1 m or the drawdown to the first major water-bearing fracture) steptest data produced fairly good results, with a sum of squared residuals (RSS), where a residual is the difference between the observed and simulated value, of 0.437 m 2 and a mean of 0.016 m; and, at the last rate of 382 L/min, a well efficiency of 95% and well loss of 0.2 m. The best fit to the data, however, was achieved by correcting the data for the effects of dewatering, using a b value of 17.5 m. This produced a RSS of 0.106 m 2 and a mean of 0.002 m; and, at 382 L/min, a well efficiency of 100% and a well loss of 0.0 m.…”

Section: Emmitsburg Wellmentioning

confidence: 99%

“…For the typical step-test, this is most easily performed using an automatic curve-fitting program. The AQTESOLV™ program modifies the Dougherty-Babu (1984) solution by a term for nonlinear well loss in a confined dual porosity aquifer, and adds terms for linear and nonlinear well losses to the Theis (1935) and Hantush-Jacob (1955) solutions for pumping in a confined aquifer and a leaky confined aquifer, respectively.…”

Section: Analytical Techniquesmentioning

confidence: 99%

“…Initially it was assumed that the saturated thickness (b) was 128 m, based on the drawdown to a single major water-bearing fracture in the well. Application of the AQTESOLV modified Dougherty-Babu (1984) …”

Section: Poolesville Well 7 and Water System Production Datamentioning

confidence: 99%

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Reliable yields of public water-supply wells in the fractured-rock aquifers of central Maryland, USA

Hammond¹

2017

Hydrogeol J

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Most studies of fractured-rock aquifers are about analytical models used for evaluating aquifer tests or numerical methods for describing groundwater flow, but there have been few investigations on how to estimate the reliable long-term drought yields of individual hard-rock wells. During the drought period of 1998 to 2002, many municipal water suppliers in the Piedmont/Blue Ridge areas of central Maryland (USA) had to institute water restrictions due to declining well yields. Previous estimates of the yields of those wells were commonly based on extrapolating drawdowns, measured during short-term singlewell hydraulic pumping tests, to the first primary water-bearing fracture in a well. The extrapolations were often made from pseudo-equilibrium phases, frequently resulting in substantially over-estimated well yields. The methods developed in the present study to predict yields consist of extrapolating drawdown data from infinite acting radial flow periods or by fitting type curves of other conceptual models to the data, using diagnostic plots, inverse analysis and derivative analysis. Available drawdowns were determined by the positions of transition zones in crystalline rocks or thin-bedded consolidated sandstone/limestone layers (reservoir rocks). Aquifer dewatering effects were detected by type-curve matching of step-test data or by breaks in the drawdown curves constructed from hydraulic tests. Operational data were then used to confirm the predicted yields and compared to regional groundwater levels to determine seasonal variations in well yields. Such well yield estimates are needed by hydrogeologists and water engineers for the engineering design of water systems, but should be verified by the collection of longterm monitoring data.

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Section: Analytical Techniquesmentioning

confidence: 99%

Section: Emmitsburg Wellmentioning

confidence: 99%

Section: Analytical Techniquesmentioning

confidence: 99%

Section: Poolesville Well 7 and Water System Production Datamentioning

confidence: 99%

See 2 more Smart Citations

Reliable yields of public water-supply wells in the fractured-rock aquifers of central Maryland, USA

Hammond¹

2017

Hydrogeol J

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“…Early related works were Bredehoeft et al (1966), Cooper et al (1967), and Bouwer and Rice (1976) with regard to the groundwater problems and Carslaw and Jaeger (1959, p. 342) in a heat conduction problem. Dougherty and Babu (1984) developed an analytical model to investigate the flow in a double-porosity reservoir. The transient solution for slug-test problems considering well partial penetration, wellbore effect, and skin effect was derived by utilizing numerical inversion of Laplace transform.…”

Section: Introductionmentioning

confidence: 99%

A General Semi-Analytical Solution for Three Types of Well Tests in Confined Aquifers with a Partially Penetrating Well

Yang¹,

Yeh²

2012

Terr. Atmos. Ocean. Sci.

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This note develops a general mathematical model for describing the transient hydraulic head response for constant-head test, constant-flux test, and slug test in a radial confined aquifer system with a partially penetrating well. The Laplace-domain solution for the model is derived by applying the Laplace transform with respect to time and finite Fourier cosine transform with respect to the z-direction. This new solution has been shown to reduce to the constant-head test when discounting the wellbore storage and maintaining a constant well water level. This solution can also be reduced to the constant-flux test solution when discounting the wellbore storage and keeping a constant pumping rate in the well. Moreover, the solution becomes the slug test solution when there is no pumping in the well. This general solution can be used to develop a single computer code to estimate aquifer parameters if coupled with an optimization algorithm or to assess the effect of well partial penetration on hydraulic head distribution for three types of aquifer tests.

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Analytical study of dual‐porosity coastal aquifer with generalized nonlinear water transfer term

Ma,

Chuang,

Chang

et al. 2023

Hydrological Processes

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This study proposes a new mathematical model for the hydraulic head distribution induced by the tidal wave in fractured coastal aquifers. The flow in the fractured aquifer is described by adopting the well‐known dual‐porosity (DP) concept. It simply describes the interaction of the flow between the fractures and matrix blocks. The past studies commonly used the lumped‐distributed approach, a first‐order mass transfer approximation, to reflect such a flow interaction. Herein, we incorporate a new generalized transfer term (GTT) into the DP model. The weighting factor in the GTT is capable of reflecting the geometrical properties of the matrix flow. The GTT can reduce to the first‐ and second‐order terms by setting the weight to zero and one, respectively. Moreover, the sensitivity analysis is used to delve into the impacts of the aquifer parameters on the flow response in the coast aquifer, and the effects of the model parameters on the head amplitude and phase shift are explored in this study. The sensitivity analysis is performed to assess the hydraulic properties of the coast aquifer in response to the hydraulic head. Overall, we believe that the present model facilitates in developing sound plans of water resources management in coastal regions.

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Flow to a Partially Penetrating Well in a Double‐Porosity Reservoir

Cited by 106 publications

References 12 publications

Reliable yields of public water-supply wells in the fractured-rock aquifers of central Maryland, USA

Reliable yields of public water-supply wells in the fractured-rock aquifers of central Maryland, USA

A General Semi-Analytical Solution for Three Types of Well Tests in Confined Aquifers with a Partially Penetrating Well

Analytical study of dual‐porosity coastal aquifer with generalized nonlinear water transfer term

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