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Capture Zone of a Well Field in an Aquifer Bounded by Two Parallel Streams

Authors: S. Nagheli, N. Samani, D. A. Barry


In this paper, the velocity potential and stream function of capture zone for a well field in an aquifer bounded by two parallel streams with or without a uniform regional flow of any directions are presented. The well field includes any number of extraction or injection wells or a combination of both types with any pumping rates. To delineate the capture envelope, the potential and streamlines equations are derived by conformal mapping method. This method can help us to release constrains of other methods. The equations can be applied as useful tools to design in-situ groundwater remediation systems, to evaluate the surface–subsurface water interaction and to manage the water resources.

Keywords: Complex potential, conformal mapping, groundwater remediation, image well theory, Laplace’s equation, superposition principle.

Digital Object Identifier (DOI):

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[1] Intaraprasong T, Zhan H. Capture zone between two streams. Journal of Hydrology. 2007;338(3):297-307.
[2] Zarei-Doudeji S, Samani N. Capture Zone of a Multi-Well System in Bounded Rectangular-Shaped Aquifers: Modeling and Application. Iranian Journal of Science and Technology, Transactions A: Science.:2- 1-12.
[3] Dacosta JA, Bennett RR. The pattern of flow in the vicinity of a recharging and discharging pair of wells in an aquifer having areal parallel flow. Internat. Association of Scientific Hydrology. IUGG General Assembly of Helsinki. 1960(52):524-36.
[4] Javandel I, Tsang CF. Capture‐Zone Type Curves: A Tool for Aquifer Cleanup. Groundwater. 1986;24(5):616-25.
[5] Javandel I, Doughty C, Tsang CF. Groundwater Transport, Handbook of Mathematical Models, American Geophys, 1984.
[6] Grubb S. Analytical Model for Estimation of Steady‐State Capture Zones of Pumping Wells in Confined and Unconfined Aquifers. Groundwater. 1993;31(1):27-32.
[7] Shan C. An analytical solution for the capture zone of two arbitrarily located wells. Journal of Hydrology. 1999;222(1):123-8.
[8] Schafer DC. Determining 3D capture zones in homogeneous, anisotropic aquifers. Groundwater. 1996;34(4):628-39.
[9] Christ JA, Goltz MN. Hydraulic containment: Analytical and semianalytical models for capture zone curve delineation. Journal of Hydrology. 2002;262(1):224-44.
[10] Fienen MN, Luo J, Kitanidis PK. Semi-analytical homogeneous anisotropic capture zone delineation. Journal of Hydrology. 2005 Oct 10;312(1):39-50.
[11] Samani N, Zarei-Doudeji S. Capture zone of a multi-well system in confined and unconfined wedge-shaped aquifers. Advances in water resources. 2012-84.
[12] Zarei-Doudeji S, Samani N. Capture zone of a multi-well system in bounded peninsula-shaped aquifers. Journal of contaminant hydrology. 2014-24.
[13] Strack OD. Groundwater Mechanics. Prentice Hall, USA; 1989.