Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition

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Title:Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition
Creators:
Bansal, Rajeev Kumar; bansal_rajeev31 at hotmail dot com; Department of Mathematics, National Defense Academy, Khadakwasla, Pune - 411023, India
Das, Samir Kumar; samird at isquareit dot ac dot in; Department of Computational Fluid Dynamics, International Institute of Information Technology, Pune Infotech Park, Hinjewadi, Pune- 411057, India
Journal or Publication Title:
Journal of Hydrology and Hydromechanics, 57, 2, pp. 113-120
Uncontrolled Keywords:Piezometric Head, Flow Rate, Volumetric Exchange, Confined Aquifer, Analytical Solution, Laplace Transform

Abstract

This paper presents closed form solution for unsteady flow equation corresponding to the transient hydraulic head, flow rate and volumetric exchange of a confined aquifer which is in contact with a constant piezometric head at one end and a stream whose water level is rising at a constant rate at the other end. The aquifer is also subjected to receive constant inflow due to rain infiltration. The unsteady groundwater flow equation is solved using Laplace transform to get analytical expressions for the transient hydraulic head and flow rate at the left and right interfaces and the net volumetric exchange of water at the aquifer-stream interface. The analytical results presented here show the effect of recharge due to rain infiltration on the net volumetric exchange and reveal the conditions for which net inflow in the aquifer could be positive, negative or zero. The results obtained have the capability to determine transient hydraulic head for two extreme scenarios: (i) very slow rise and (ii) very fast rise in the stream water. Analytical result show that the net volumetric exchange could be positive, zero or negative depending on the surface infiltration and stream water rise rate.

Official URL: http://147.213.145.2/vc/vc1.asp

Title:Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition
Translated title:Hydraulické výšky, rýchlosti prúdenia a objemové toky vo zvodnenom kolektore, určené analytickým riešením rovnice neustáleného prúdenia podzemných vôd
Creators:
Bansal, Rajeev Kumar; bansal_rajeev31 at hotmail dot com; Department of Mathematics, National Defense Academy, Khadakwasla, Pune - 411023, India
Das, Samir Kumar; samird at isquareit dot ac dot in; Department of Computational Fluid Dynamics, International Institute of Information Technology, Pune Infotech Park, Hinjewadi, Pune- 411057, India
Uncontrolled Keywords:Piezometric Head, Flow Rate, Volumetric Exchange, Confined Aquifer, Analytical Solution, Laplace Transform
Subjects:T Technology > TA Engineering (General). Civil engineering (General)
Divisions:Mathematics, Physics and Earth Sciences > Institute of Hydrodynamics > Journal of Hydrology and Hydromechanics
Journal or Publication Title:Journal of Hydrology and Hydromechanics
Volume:57
Number:2
Page Range:pp. 113-120
ISSN:0042-790X
Publisher:Institute of Hydrology of the Slovak Academy of Sciences and the Institute of Hydrodynamics of the Academy of Sciences of the Czech Republic
Related URLs:
URLURL Type
http://avi.lib.cas.cz/node/55Publisher
ID Code:5433
Item Type:Article
Deposited On:13 May 2010 13:31
Last Modified:13 May 2010 11:31

Citation

Bansal, Rajeev Kumar; Das, Samir Kumar (2009) Analytical solution for transient hydraulic head, flow rate and volumetric exchange in an aquifer under recharge condition. Journal of Hydrology and Hydromechanics, 57 (2). pp. 113-120. ISSN 0042-790X

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