Recharge from an Array of Polygonal Channels
Publication: Journal of Hydrologic Engineering
Volume 19, Issue 5
Abstract
An exact analytical solution for the quantity of recharge from an array of trapezoidal channels underlain by a drainage layer at a shallow depth has been obtained using an inverse hodograph and Schwarz-Christoffel transformation. The symmetry about the vertical axis has been utilized in obtaining the solution for half of the seepage domain only. The solution considers the drainage layer at shallow depth with or without pressure. The solution also includes relations for variation in seepage velocity along the channel perimeter and a set of parametric equations for the location of phreatic line. From this generalized case, particular solutions have also been deduced for an array of triangular and rectangular channels. Also particular solutions for different conditions of the drainage layer for all three shapes of channels are possible like the drainage layer at shallow depth without pressure or absence of drainage layer. The solutions can further be reduced to an isolated channel with drainage layer at shallow depth or at large depth and water table below the drainage layer. The solution is useful in quantifying artificial recharge and/or seepage loss from an array of polygonal channels.
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Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 5 • May 2014
Pages: 918 - 930
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Oct 24, 2012
Accepted: Jun 27, 2013
Published online: Jul 1, 2013
Discussion open until: Dec 1, 2013
Published in print: May 1, 2014
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