Intrawellbore kinematic and frictional losses in a horizontal well in a bounded confined aquifer

Wang, Quanrong; Zhan, Hongbin

doi:10.1002/2015wr018252

Cited by 26 publications

(10 citation statements)

References 52 publications

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“…The x w coordinate of the pumping well is optimized to about 20 m near the outlet of the tunnel (that is at x = 25 m ). This is due to the higher inflow to the tunnel at its end points, as discussed in previous works (Chang and Chen 2003; Wang and Zhan 2017b). The results of the inverse model also reveal that the deep pumping well more effectively dewater the tunnel as the contribution of the water table drainage to the pumped water decreases by increasing the depth of the well screen.…”

Section: Resultssupporting

confidence: 52%

Section: Application To Dewatering Of the Tunnelsupporting

confidence: 52%

“…To explore the effects of the specific storage of the matrix block ( S m ), Figure 3 is prepared. The terms related to the recharge and nearby wells are eliminated and the tunnel is discretized into 12 segments as suggested in previous works (Wang and Zhan 2017b; Sedghi and Zhan 2020). The discharge variation calculated by the Sedghi and Zhan (2020) single‐porosity model is also added for the purpose of comparison (the areal recharge is eliminated from the Sedghi and Zhan [2020] model).…”

Section: Resultsmentioning

confidence: 99%

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On Inflow to a Tunnel in a Fractured Double‐Porosity Aquifer

Sedghi

Zhan

2021

Groundwater

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Inflow to a tunnel is a great public concern and is closely related to groundwater hydrology, geotechnical engineering, and mining engineering, among other disciplines. Rapid computation of inflow to a tunnel provides a timely means for quickly assessing the inflow discharge, thus is critical for safe operation of tunnels. Dewatering of tunnels is another engineering practice that should be planned. In this study, an analytical solution of the inflow to a tunnel in a fractured unconfined aquifer is obtained. The solution takes into account either the spherical or slab-shaped matrix block and the unsteady state interporosity flow. The instantaneous drainage water table and anisotropic hydraulic conductivities of the fractures network are also considered. Both uniform flux and uniform head boundary condition are considered to simulate the constant head boundary condition in the tunnel. The effects of the hydraulic parameters of the fractured aquifer on the inflow variation of the tunnel are explored. The application of the presented solution to obtain the optimum location and discharge of the well to minimize the inflow to a tunnel is illustrated.

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Section: Resultssupporting

confidence: 52%

Section: Application To Dewatering Of the Tunnelsupporting

confidence: 52%

Section: Resultsmentioning

confidence: 99%

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On Inflow to a Tunnel in a Fractured Double‐Porosity Aquifer

Sedghi

Zhan

2021

Groundwater

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“…Each method is best fitted for a particular type of problem (Hassanzadeh and Pooladi-Darvish, 2007). Chen (1985), Zhan et al (2009a, b), and Wang and Zhan (2013) have successfully employed the Stehfest algorithm to obtain the solution in the time domain for similar problems to the one in this study. For references on different inverse Laplace methods, one can consult the reviews of Kuhlman (2013) and Wang and Zhan (2015).…”

Section: Total Volume Drained From the Unsaturated Zone For A Slant Wellmentioning

confidence: 99%

On the coupled unsaturated–saturated flow process induced by vertical, horizontal, and slant wells in unconfined aquifers

Liang

Zhang

et al. 2017

Hydrol. Earth Syst. Sci.

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Abstract. Conventional models of pumping tests in unconfined aquifers often neglect the unsaturated flow process. This study concerns the coupled unsaturated–saturated flow process induced by vertical, horizontal, and slant wells positioned in an unconfined aquifer. A mathematical model is established with special consideration of the coupled unsaturated–saturated flow process and the well orientation. Groundwater flow in the saturated zone is described by a three-dimensional governing equation and a linearized three-dimensional Richards' equation in the unsaturated zone. A solution in the Laplace domain is derived by the Laplace–finite-Fourier-transform and the method of separation of variables, and the semi-analytical solutions are obtained using a numerical inverse Laplace method. The solution is verified by a finite-element numerical model. It is found that the effects of the unsaturated zone on the drawdown of a pumping test exist at any angle of inclination of the pumping well, and this impact is more significant in the case of a horizontal well. The effects of the unsaturated zone on the drawdown are independent of the length of the horizontal well screen. The vertical well leads to the largest water volume drained from the unsaturated zone (W) during the early pumping time, and the effects of the well orientation on W values become insignificant at the later time. The screen length of the horizontal well does not affect W for the whole pumping period. The proposed solutions are useful for the parameter identification of pumping tests with a general well orientation (vertical, horizontal, and slant) in unconfined aquifers affected from above by the unsaturated flow process.

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“…The precise determination of the pumping strength distribution along a horizontal or slant well involves complex, coupled aquifer-pipe-flow (Chen et al, 2003) in which the flow inside the wellbore (pipe flow) can experience different stages of flow schemes from laminar, to transitional turbulent, to fully developed turbulent flow. Such complex coupled well-aquifer flow is beyond the scope of this study, and one may consult the recent studies of Blumenthal and Zhan (2016) or Wang and Zhan (2016) for more details. However, often one may adopt a first-order approximation of a uniform flux distribution to treat horizontal or slant wells, particularly when the well screen lengths are not extremely long (kilometers).…”

Section: Solution For a Slant Pumping Wellmentioning

confidence: 99%

On Coupled Unsaturated-Saturated Flow Process Induced by Vertical, Horizontal and Slant Wells in Unconfined Aquifers

Liang¹,

Zhan²,

Zhang³

et al. 2016

Preprint

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Abstract. Conventional models of pumping tests in unconfined aquifers often neglect the unsaturated flow process. This study concerns coupled unsaturated-saturated flow process induced by vertical, horizontal, and slant wells positioned in an unconfined aquifer. A mathematical model is established with special consideration of the coupled unsaturated-saturated flow process and well orientation. Groundwater flow in the saturated zone is described by a three-dimensional governing equation, and a linearized three-dimensional Richards' equation in the unsaturated zone. A solution in Laplace domain is derived by the Laplace-finite Fourier transform and the method of separation of variables. It is found that the unsaturated zone has significant effects on the drawdown of pumping test with any angle of inclination of the pumping well, and this impact is more significant for the case of a horizontal well. The effects of unsaturated zone on the drawdown are independent of the length of the horizontal well screen. For the early time of pumping, the water volume drained from the unsaturated zone (W) increases with time, and gradually approaches an asymptotic value with time progress. The vertical well leads to the largest W value during the early time, and the effects of the well orientation become insignificant at the later time. The screen length of the horizontal well does not affect W for the whole pumping period. The proposed solutions are useful for parameter identification of pumping tests with a general well orientation (vertical, horizontal, and slant) in unconfined aquifers affected from above by the unsaturated flow process.

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Intrawellbore kinematic and frictional losses in a horizontal well in a bounded confined aquifer

Cited by 26 publications

References 52 publications

On Inflow to a Tunnel in a Fractured Double‐Porosity Aquifer

On Inflow to a Tunnel in a Fractured Double‐Porosity Aquifer

On the coupled unsaturated–saturated flow process induced by vertical, horizontal, and slant wells in unconfined aquifers

On Coupled Unsaturated-Saturated Flow Process Induced by Vertical, Horizontal and Slant Wells in Unconfined Aquifers

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