Delayed drainage of aquitard in response to sudden change in groundwater level in adjacent confined aquifer: Analytical and experimental studies

Zhou, Zhifang; Guo, Qiaona; Dou, Zhi

doi:10.1007/s11434-013-5730-5

Cited by 26 publications

(39 citation statements)

References 13 publications

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“…The process of groundwater being released or stored is accompanied by compressive or rebound deformation and the change in the volume of storage in the aquitard is equal to its deformation (Konikow and Neuzil ). Based on the water balance equation of Zhou et al (), the dimensionless aquitard deformation F eD caused by s ewD is derived as

F_{normale normalD} ((), t_{e D}) = normalR normale ([], \frac{normalcosh ((), α) - 1}{α normalsinh ((), α)} normalexp ((), α^{2} t_{normale normalD}))

and the corresponding dimensional form of F eD is expressed as

F_{e} = F_{normale normalD} A_{normale normalw} S_{normals normalk normale} b

where Re denotes the real part of the complex expression,

α = \sqrt{2 π i true/ T_{normale normalD}}

and

i = \sqrt{- 1}

. Details concerning the derivation of Equation are provided in Appendix S1 of the Supporting Information.…”

Section: Methodsmentioning

confidence: 99%

A Joint Analytic Method for Estimating Aquitard Hydraulic Parameters

Chen

Zhou²,

Illman

2017

Groundwater

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The vertical hydraulic conductivity (K ), elastic (S ), and inelastic (S ) skeletal specific storage of aquitards are three of the most critical parameters in land subsidence investigations. Two new analytic methods are proposed to estimate the three parameters. The first analytic method is based on a new concept of delay time ratio for estimating K and S of an aquitard subject to long-term stable, cyclic hydraulic head changes at boundaries. The second analytic method estimates the S of the aquitard subject to linearly declining hydraulic heads at boundaries. Both methods are based on analytical solutions for flow within the aquitard, and they are jointly employed to obtain the three parameter estimates. This joint analytic method is applied to estimate the K , S , and S of a 34.54-m thick aquitard for which the deformation progress has been recorded by an extensometer located in Shanghai, China. The estimated results are then calibrated by PEST (Doherty 2005), a parameter estimation code coupled with a one-dimensional aquitard-drainage model. The K and S estimated by the joint analytic method are quite close to those estimated via inverse modeling and performed much better in simulating elastic deformation than the estimates obtained from the stress-strain diagram method of Ye and Xue (2005). The newly proposed joint analytic method is an effective tool that provides reasonable initial values for calibrating land subsidence models.

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F_{normale normalD} ((), t_{e D}) = normalR normale ([], \frac{normalcosh ((), α) - 1}{α normalsinh ((), α)} normalexp ((), α^{2} t_{normale normalD}))

and the corresponding dimensional form of F eD is expressed as

F_{e} = F_{normale normalD} A_{normale normalw} S_{normals normalk normale} b

where Re denotes the real part of the complex expression,

α = \sqrt{2 π i true/ T_{normale normalD}}

and

i = \sqrt{- 1}

. Details concerning the derivation of Equation are provided in Appendix S1 of the Supporting Information.…”

Section: Methodsmentioning

confidence: 99%

A Joint Analytic Method for Estimating Aquitard Hydraulic Parameters

Chen

Zhou²,

Illman

2017

Groundwater

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“…The results from a viscoelastic model developed to simulate one-dimensional consolidation showed that land subsidence obviously lags behind pore pressure disappearance [16]. In addition, the lag time of the clay layer deformation was in direct proportion to the thickness of the layer [17,18]. The delay index is only dependent on the properties and thickness of the aquitard in response to the sudden change in groundwater level in adjacent confined aquifers according to experimental studies [19].…”

Section: Introductionmentioning

confidence: 99%

A Coupled One-Dimensional Numerical Simulation of the Land Subsidence Process in a Multilayer Aquifer System due to Hydraulic Head Variation in the Pumped Layer

Wang

Zhang

et al. 2018

Geofluids

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After exploitation of groundwater had been reduced and the groundwater level of the confined aquifer had risen, land subsidence was observed to continue rather than cease for several years according to the layer-wise mark monitoring data in Xi'an. To analyze the phenomena, a numerical model of a coupled one-dimensional multilayer aquifer system is developed to represent land subsidence due to hydraulic head variation in the pumped layer. The numerical simulation results show that the pressure head in other layers does not rise immediately when the hydraulic head in the pumped layer starts to recover after pumping ceases. In addition, after the pumping is stopped, a dividing point can be found in aquitards next to the pumped layer, with the aquitards being divided into two parts: a compressed part and a rebounding part. The dividing points move toward the side and away from the pumped layer with the transferring of pore pressure in the aquitard. The results of the simulation also show that there is a transition period between land subsidence and rebound. In this transition period, land could continue to subside even though the hydraulic head in the pumped layer begins to recover.

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“…Alluvial plains and sedimentary basins are often composed of a number of relatively high-permeability aquifers alternating with relatively low-permeability aquitards (Cihan et al 2011;Hantush 1967). These aquifers and aquitards often extend over large areas, even covering entire basins or alluvial plains, such as in the Dakota aquifer system in South Dakota in the United States and the Yangtze Delta in China (Cihan et al 2011;Konikow and Neuzil 2007;Zhou et al 2013). Groundwater depletion is the inevitable and natural consequence of withdrawing water from an aquifer (Konikow and Kendy 2005), and the water stored in aquitards is a significant source of water to pumped aquifers (Hantush 1960;Neuman and Witherspoon 1969a, b).…”

Section: Introductionmentioning

confidence: 99%

“…However, almost all of these studies used models that were not influenced by previous pumping history and assumed that the drawdown in the aquitards was zero. As a result, these models are not applicable to aquitards influenced by DYP, which causes disequilibrium owing to previous changes in the water level of aquifers adjacent to an aquitard (Neuman 1979;Zhou et al 2013).…”

Section: Introductionmentioning

confidence: 99%

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An analytical solution for leakage rate and depletion of aquitard influenced by the delayed yield phenomenon

Zhou

2015

Environ Earth Sci

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Delayed yield phenomenon (DYP) occurs when the drawdown of an aquitard is no longer in equilibrium owing to previous changes in the level of water in adjacent aquifers. In this study, an analytical solution to determine the distribution of the drawdown at any time and at any point in an aquitard, in which the water level was not in equilibrium at the initial time, and the water level of the aquifers immediately above and below the aquitard was time dependent was developed. The analytical solution for the flow rate at any time and location was presented based on variations in drawdown in the aquitard. In addition, the effects of the DYP on the leakage rate and depletion of the aquitard were studied. Subsequent comparison of the proposed analytical and numerical solutions revealed that they were in good agreement. The results of this study will be useful to future studies of groundwater flow and environmental problems, such as water budgets, rising sea levels, solute transport, heat conduction and ground subsidence.

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Delayed drainage of aquitard in response to sudden change in groundwater level in adjacent confined aquifer: Analytical and experimental studies

Cited by 26 publications

References 13 publications

A Joint Analytic Method for Estimating Aquitard Hydraulic Parameters

A Joint Analytic Method for Estimating Aquitard Hydraulic Parameters

A Coupled One-Dimensional Numerical Simulation of the Land Subsidence Process in a Multilayer Aquifer System due to Hydraulic Head Variation in the Pumped Layer

An analytical solution for leakage rate and depletion of aquitard influenced by the delayed yield phenomenon

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