Recent advances in modeling of well hydraulics

Yeh, Hund‐Der; Chang, Yu‐Cheng

doi:10.1016/j.advwatres.2012.03.006

Cited by 124 publications

(84 citation statements)

References 344 publications

(515 reference statements)

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“…As the area of the artificial recharge is large and the artificial recharge is applied in a relatively shallow aquifer, a horizontal well is considered for the extraction of the fresh groundwater. Compared to vertical wells, horizontal wells induce less drawdown per volume of abstracted groundwater (Yeh and Chang 2013), which in turn reduces saltwater upconing (Dagan and Bear 1968). The following analytical solution (Dagan and Bear 1968) is used for the quantification of saltwater upconing using a horizontal well: (z) is shown for the simulation with the calibrated groundwater recharge (Cal) and the other simulations of the sensitivity analysis.…”

Section: Increase Of Extraction Due To Increase Of the Freshwater Lensmentioning

confidence: 99%

Increasing a freshwater lens below a creek ridge using a controlled artificial recharge and drainage system: a case study in the Netherlands

et al. 2015

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A controlled artificial recharge and drainage (CARD) system was used to increase freshwater lenses below creek ridges to increase freshwater supply. Creek ridges are typical geomorphological features that lie up to 2 m higher than the surroundings in the reclaimed tidal flat landscape of the southwestern Netherlands. The 5-30-m thick freshwater lenses below the creek ridges are a vital source for irrigation, as the groundwater and surface waters are predominantly saline. However, freshwater supply from these lenses is commonly not sufficient to meet the irrigation demand, which leads to crop damage. The CARD system was tested in the field and the development of the freshwater lens was monitored during the period May 2013 to May 2014. Numerical models, which were used to investigate a long-term effect of the CARD system, predicted that below the center of the creek ridge, the 13-15-m thick freshwater lens increased 6-8 m within 10 years. The total volumetric increase of the freshwater lens was about 190,000 m 3 after 10 years, which was about 40 % of the total recharge (natural and artificial recharge). From this increased freshwater lens, up to three times more water can be extracted using horizontal wells, compared to the initial size of the freshwater lens. A higher water table in the CARD system leads to a thicker freshwater lens but a lower storage efficiency. A lower water table has the opposite effect.

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Section: Increase Of Extraction Due To Increase Of the Freshwater Lensmentioning

confidence: 99%

Increasing a freshwater lens below a creek ridge using a controlled artificial recharge and drainage system: a case study in the Netherlands

et al. 2015

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“…Due to the high velocities, non-Darcian flow is likely to occur near pumping/injecting wells (Yeh and Chang, 2013;Wen et al, 2008b). Several studies showed that the nonDarcian effect had significant influence on hydraulic parameter estimations.…”

Section: Introductionmentioning

confidence: 99%

“…Although many efforts have been devoted to study the non-Darcian flow around the well, the exact solutions have not been obtained due to the non-linearity of the problem (Mathias et al, 2008;Yeh and Chang, 2013). For example, Sen (1990Sen ( , 2000 employed the Boltzmann transform method to analytically solve the problems related to the nonDarcian flow.…”

Section: Introductionmentioning

confidence: 99%

Forchheimer flow to a well-considering time-dependent critical radius

Wang

Zhan

Tang

2014

Hydrol. Earth Syst. Sci.

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Abstract. Previous studies on the non-Darcian flow into a pumping well assumed that critical radius (R CD ) was a constant or infinity, where R CD represents the location of the interface between the non-Darcian flow region and Darcian flow region. In this study, a two-region model considering time-dependent R CD was established, where the non-Darcian flow was described by the Forchheimer equation. A new iteration method was proposed to estimate R CD based on the finite-difference method. The results showed that R CD increased with time until reaching the quasi steady-state flow, and the asymptotic value of R CD only depended on the critical specific discharge beyond which flow became nonDarcian. A larger inertial force would reduce the change rate of R CD with time, and resulted in a smaller R CD at a specific time during the transient flow. The difference between the new solution and previous solutions were obvious in the early pumping stage. The new solution agreed very well with the solution of the previous two-region model with a constant R CD under quasi steady flow. It agreed with the solution of the fully Darcian flow model in the Darcian flow region.

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“…Groundwater flow behavior induced by recharge is therefore crucial in water resource management. The Boussinesq equation has been extensively used to describe horizontal flow without the vertical component in unconfined aquifers (e.g., Ireson and Butler, 2013;van der Spek et al, 2013;Yeh and Chang, 2013;Chor and Dias, 2015;Hsieh et al, 2015;. The equation can be linearized by assuming uniform saturated aquifer thickness for developing its analytical solution.…”

Section: Introductionmentioning

confidence: 99%

Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate in unconfined aquifers

Chang

Huang

Yeh

2016

Hydrol. Earth Syst. Sci.

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Abstract. Most previous solutions for groundwater flow induced by localized recharge assumed either aquifer incompressibility or two-dimensional flow in the absence of the vertical flow. This paper develops a new three-dimensional flow model for hydraulic head variation due to localized recharge in a rectangular unconfined aquifer with four boundaries under the Robin condition. A governing equation describing spatiotemporal head distributions is employed. The first-order free-surface equation with a source term defining a constant recharge rate over a rectangular area is used to depict water table movement. The solution to the model for the head is developed with the methods of Laplace transform and double-integral transform. Based on Duhamel's theorem, the present solution is applicable to flow problems accounting for arbitrary time-dependent recharge rates. The solution to depth-average head can then be obtained by integrating the head solution to elevation and dividing the result by the aquifer thickness. The use of a rectangular aquifer domain has two merits. One is that the integration for estimating the depth-average head can be analytically achieved. The other is that existing solutions based on aquifers of infinite extent can be considered as special cases of the present solution before the time when the aquifer boundary had an effect on head predictions. With the help of the present solution, the assumption of neglecting the vertical flow effect on the temporal head distribution at an observation point outside a recharge region can be assessed by a dimensionless parameter related to the aquifer horizontal and vertical hydraulic conductivities, initial aquifer thickness, and the shortest distance between the observation point and the edge of the recharge region. The validity of assuming aquifer incompressibility is dominated by the ratio of the aquifer specific yield to its storage coefficient. In addition, a sensitivity analysis is performed to investigate the head response to the change in each of the aquifer parameters.

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Recent advances in modeling of well hydraulics

Cited by 124 publications

References 344 publications

Increasing a freshwater lens below a creek ridge using a controlled artificial recharge and drainage system: a case study in the Netherlands

Increasing a freshwater lens below a creek ridge using a controlled artificial recharge and drainage system: a case study in the Netherlands

Forchheimer flow to a well-considering time-dependent critical radius

Technical Note: Three-dimensional transient groundwater flow due to localized recharge with an arbitrary transient rate in unconfined aquifers

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