Non-Darcian effect on slug test in a leaky confined aquifer

Wang, Quanrong; Zhan, Hongbin; Wang, Yanxin

doi:10.1016/j.jhydrol.2015.05.038

Cited by 23 publications

(15 citation statements)

References 42 publications

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“…The choice between the two equations is depended on field conditions (Bordier and Zimmer 2000;Yamada et al 2005;Wen et al 2006;Yeh and Chang 2013;Houben 2015;Meng et al 2015). Based on the two equations, many analytical and numerical models for the non-Darcian flow induced by constant rate pumping in different aquifer systems have been derived (e.g., Sen 1990;Wen et al 2008aWen et al , 2008bWen et al , 2008cWen et al 2011;Wen et al 2013;Eck et al 2012;Mijic et al 2013;Wang et al 2015;Chen et al 2015aChen et al , 2015bChen et al , 2015cLiu et al 2016).…”

Section: Introductionmentioning

confidence: 99%

A Simplified Solution Using Izbash's Equation for Non‐Darcian Flow in a Constant Rate Pumping Test

Liang

et al. 2019

Groundwater

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This paper derives an equivalent of Darcian Theis solution for non‐Darcian flow induced by constant rate pumping of a well in a confined aquifer. The derivation, which is valid at later times only, is original. It utilizes Izbash's equation. This introduces an additional parameter to Darcian condition, namely, empirical exponent. The solution is a non‐Drcian equivalent of Jacob straight line method for analyzing pumping tests at late times. It can be used to determine aquifer parameters: storativity, analogous hydraulic conductivity, and empirical exponent. However, while the Jacob method requires a minimum of only one pumping test with one observation well, the additional parameter in the present solution means that a minimum of two observation wells in one test or two pumping tests at different rates with one observation well are required. The derived solution is applied to a case study at Plomeur in Brittany, France, and is shown to provide a practical and efficient method for analyzing pumping tests where non‐Darcian groundwater flow occurs.

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Section: Introductionmentioning

confidence: 99%

A Simplified Solution Using Izbash's Equation for Non‐Darcian Flow in a Constant Rate Pumping Test

Liang

et al. 2019

Groundwater

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“…In general, input parameters of a groundwater flow model may be subject to various sorts of uncertain factors, caused by measurement errors, absence of information, inaccurate understanding of the flow mechanisms, and so on (Jiao and Rushton 1995; Wang et al 2015). However, sensitivity analysis is a powerful tool to evaluate the influence of input parameters on the output results, and it is helpful to establish a more accurate and reliable groundwater flow model (Wang et al 2015;Zhuang et al 2019). In this section, the normalized sensitivity analysis proposed by Huang and Yeh (2007) is applied to investigate the influence of K and S S on the aquitard water level variation u d .…”

Section: Sensitivity Analysismentioning

confidence: 99%

Constant-head and variable-head injection tests for determining the hydraulic parameters of an aquitard

et al. 2020

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Although specific storage (S S ) is a crucial parameter for characterizing the dynamic water-release process in an aquitard, the Hvorslev analysis method is only capable of estimating the hydraulic conductivity (K), rather than S S . The Hvorslev method is based on an assumption of steady-state flow and uses the falling-head test. Considering the elastic water-release effect in an aquitard and the actual groundwater flow, two mathematical unsteady-state groundwater flow models (i.e., the constant-head and variable-head models), describing the head distribution are presented for a constant-head injection test (CHIT) and variable-head injection test (VHIT) performed in a multi-layered aquifer-aquitard system. The analytical solutions for the models are derived by Fourier transforms to estimate K and S S . The obtained K and S S values from the CHIT and VHIT were generally consistent, although the VHIT is recommended in practice. For the VHIT, estimating K using the Hvorslev analysis method under steadystate groundwater flow conditions resulted in a small relative error compared to the obtained result from the variable-head model. It was demonstrated that a certain relation existed between the constant-head and variable-head methods when the drawdown rate was lower than 1%, and so the constant-head method was applied to the VHIT data to determine K and S S . The synthetic error in the parameters was smaller than 10%, which indicated that the methods could be used interchangeably under these circumstances, thus simplifying the hydraulic parameter estimation process.

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“…Wen et al [14] also pointed out that non-Darcian flow could occur in the region near the well which fully penetrates a confined single vertical fracture. Wang et al [15] established a two-region model considering time-dependent R CD , where the non-Darcian flow was described by the Forchheimer equation. Javadi et al [16] proposed a new geometrical model for nonlinear fluid flow through rough fractures.…”

Section: Introductionmentioning

confidence: 99%

Non-Fickian Solute Transport in a Single Fracture of Marble Parallel Plate

Yan

Qian

et al. 2018

Geofluids

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Accurate prediction of solute transport processes in a fracture aquifer is an important task not only for proper management of the groundwater but also for pollution control. A key issue of this task is how to accurately obtain the experimental data and to analyze the solute transport in fracture in subsurface hydrology, which would greatly help us to understand the releasing mechanism and transport of the solute in a fracture. In this study, a fracture experiment is conducted in a laboratory based on previous studies. The fracture used with a length of 60 cm and a width of 10 cm is sealed with glass glue to avoid leakage of tracer due to uneven fracture walls. The sodium chloride (NaCl) solute is injected from the left of the fracture. And an electrical conductivity monitoring system is installed on the right of the fracture. Then breakthrough curves (BTCs) of solute transport are fitted using the classical advectiondispersion equation (ADE) and the truncation power-law function (TPL) model in the package of the continuous time random walk (CTRW). The results show that the flow satisfies non-Darcian law in the experimental conditions, which can be better fitted using the Forchheimer equation and Izbash equation. The solute transport presents non-Fickian phenomena and shows a long tailing. The fitting results of the TPL model are far better than ADE in fitting the long tailing at three different flow velocities. Furthermore, electrical conductivity monitoring method not only is effective but also has an advantage of no disturbance to water and concentration fields in a fracture.

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Non-Darcian effect on slug test in a leaky confined aquifer

Cited by 23 publications

References 42 publications

A Simplified Solution Using Izbash's Equation for Non‐Darcian Flow in a Constant Rate Pumping Test

A Simplified Solution Using Izbash's Equation for Non‐Darcian Flow in a Constant Rate Pumping Test

Constant-head and variable-head injection tests for determining the hydraulic parameters of an aquitard

Non-Fickian Solute Transport in a Single Fracture of Marble Parallel Plate

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