Correction to “A concept of maximum stream depletion rate for leaky aquifers in alluvial valleys” by Vitaly A. Zlotnik

Abstract. The stream depletion rate (SDR) associated with pumping from vertical wells located in an aquifer is commonly estimated, where a large drawdown near the well may, however, be produced. In this paper, the solution is first developed for describing the groundwater flow associated with a point source in a confined aquifer near a stream. Based on the principle of superposition, analytical solutions for horizontal and slanted wells are then developed by integrating the point source solution along the well axis. The solutions can be simplified to quasi-steady solutions by neglecting the exponential terms to describe the late-time drawdown, which can provide useful information in designing horizontal well location and length. The direction of the well axis can be determined from the best SDR subject to the drawdown constraint. It is found that hydraulic conductivity in the direction perpendicular to the stream plays a crucial role in influencing the time required for reaching quasi-steady SDR. In addition, the effects of the well length as well as the distance between the well and stream on the SDR are also examined.

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Review of the Role of Analytical Modelling Methods in Riverbank Filtration System

Jurnal Teknologi ◽

10.11113/jt.v71.3055 ◽

2014 ◽

Vol 71 (1) ◽

Cited By ~ 2

Author(s):

Shaymaa Mustafa ◽

Arifah Bahar ◽

Zainal Abdul Aziz ◽

Saim Suratman

Keyword(s):

Point Of View ◽

Analytical Modelling ◽

Analytical Models ◽

Riverbank Filtration ◽

Stream Depletion ◽

Filtration System ◽

Depletion Rate ◽

Contaminants Transport ◽

Modelling Methods

Riverbank filtration (RBF) technology is applied in several countries around the world as one of the main sources of drinking water supply both from quantitative and qualitative point of view. Consequently, several analytical modelling methods, mostly based on the transformation techniques, are developed in literature to describe different processes which occur in RBF system. An extensive overview of these analytical methods, their uses and limitations are discussed. The review disclosed that most analytical models usually are concerned in evaluating stream depletion rate rather than contaminants transport especially the transportation of pesticides and pathogens. Laplace and Fourier methods are more popular methods used by researchers to solve the system of partial differential equation that developed to simulate the RBF problem.

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Analysis of groundwater flow and stream depletion in L-shaped fluvial aquifers

Hydrology and Earth System Sciences ◽

10.5194/hess-22-2359-2018 ◽

2018 ◽

Vol 22 (4) ◽

pp. 2359-2375 ◽

Cited By ~ 3

Author(s):

Chao-Chih Lin ◽

Ya-Chi Chang ◽

Hund-Der Yeh

Keyword(s):

Steady State ◽

Groundwater Resources ◽

Separation Of Variables ◽

Measurement Data ◽

Steady State Solution ◽

State Solution ◽

Stream Depletion ◽

Numerical Studies ◽

Present Solution ◽

Depletion Rate

Abstract. Understanding the head distribution in aquifers is crucial for the evaluation of groundwater resources. This article develops a model for describing flow induced by pumping in an L-shaped fluvial aquifer bounded by impermeable bedrocks and two nearly fully penetrating streams. A similar scenario for numerical studies was reported in Kihm et al. (2007). The water level of the streams is assumed to be linearly varying with distance. The aquifer is divided into two subregions and the continuity conditions of the hydraulic head and flux are imposed at the interface of the subregions. The steady-state solution describing the head distribution for the model without pumping is first developed by the method of separation of variables. The transient solution for the head distribution induced by pumping is then derived based on the steady-state solution as initial condition and the methods of finite Fourier transform and Laplace transform. Moreover, the solution for stream depletion rate (SDR) from each of the two streams is also developed based on the head solution and Darcy's law. Both head and SDR solutions in the real time domain are obtained by a numerical inversion scheme called the Stehfest algorithm. The software MODFLOW is chosen to compare with the proposed head solution for the L-shaped aquifer. The steady-state and transient head distributions within the L-shaped aquifer predicted by the present solution are compared with the numerical simulations and measurement data presented in Kihm et al. (2007).

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Stream depletion rate with horizontal or slanted wells in confined aquifers near a stream

Hydrology and Earth System Sciences ◽

10.5194/hess-14-1477-2010 ◽

2010 ◽

Vol 14 (8) ◽

pp. 1477-1485 ◽

Cited By ~ 13

Author(s):

P.-R. Tsou ◽

Z.-Y. Feng ◽

H.-D. Yeh ◽

C.-S. Huang

Keyword(s):

Point Source ◽

Horizontal Well ◽

Late Time ◽

Principle Of Superposition ◽

Stream Depletion ◽

Well Location ◽

Depletion Rate ◽

Drawdown Constraint ◽

Steady Solutions ◽

Time Required

Abstract. Pumping in a vertical well may produce a large drawdown cone near the well. In this paper, the solution is first developed for describing the groundwater flow associated with a point source in a confined aquifer near a stream. Based on the principle of superposition, analytical solutions for horizontal and slanted wells are then developed by integrating the point source solution along the well axis. The solutions can be simplified to quasi-steady solutions by neglecting the exponential terms to describe the late-time drawdown, which can provide useful information in designing horizontal well location and length. The direction of the well axis can be determined from the best SDR subject to the drawdown constraint. It is found that hydraulic conductivity in the direction perpendicular to the stream plays a crucial role in influencing the time required for reaching quasi-steady SDR. In addition, the effects of the well length as well as the distance between the well and stream on the SDR are also examined.

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