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Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level

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  • Rajeev Bansal
  • Samir Das

Abstract

This paper presents analytical solution of one-dimensional linearized Boussinesq equation characterizing unsteady groundwater flow in an unconfined aquifer, overlying an impervious downward sloping bed. At one end, the aquifer is in contact with a constant water level and at the other end; water level is rising exponentially from an adjoining stream. The aquifer also receives constant or cycle of time-varying vertical recharge. Analytical expressions for hydraulic head and flow rate in the aquifer are obtained by solving the seepage model using Laplace transform. The expressions derived here can explain sudden rise or very slow rise in the stream water related to sloping or horizontal beds and are represented under asymptotic case. Response of a short and long aquifer to the variation in bed slope, recharge rate and rise rate of the stream water is illustrated with the help of numerical examples. The sensitivity of the flow rate is also analyzed with respect to various parameters. Copyright Springer Science+Business Media B.V. 2011

Suggested Citation

  • Rajeev Bansal & Samir Das, 2011. "Response of an Unconfined Sloping Aquifer to Constant Recharge and Seepage from the Stream of Varying Water Level," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(3), pages 893-911, February.
    • Handle: RePEc:spr:waterr:v:25:y:2011:i:3:p:893-911
    DOI: 10.1007/s11269-010-9732-7
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    References listed on IDEAS

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    1. Surjeet Singh & C. Jaiswal & K. Shukla & K. Singh & D. Kumar, 2008. "Transformation Technique for Water Table Estimation in a 2-D Aquifer with Inclined Base Subjected to Variable ET," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(11), pages 1521-1530, November.
    2. Surjeet Singh & C. Jaiswal, 2006. "Numerical Solution of 2D Free Surface to Ditch Drains in Presence of Transient Recharge and Depth-Dependent ET in Sloping Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 20(5), pages 779-793, October.
    3. A. Manglik & S. Rai, 1998. "Two-Dimensional Modelling of Water Table Fluctuations due to Time-Varying Recharge from Rectangular Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 12(6), pages 467-475, December.
    4. A. Manglik & S. Rai, 2000. "Modeling of Water Table Fluctuations in Response to Time-varying Recharge and Withdrawal," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 14(5), pages 339-347, October.
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    Cited by:

    1. Iraj Saeedpanah & Ramin Golmohamadi Azar, 2017. "New Analytical Expressions for Two-Dimensional Aquifer Adjoining with Streams of Varying Water Level," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(1), pages 403-424, January.
    2. Iraj Saeedpanah & Ramin Golmohamadi Azar, 2017. "New Analytical Solutions for Unsteady Flow in a Leaky Aquifer between Two Parallel Streams," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(7), pages 2315-2332, May.
    3. A. Manglik & S. Rai & V. Singh, 2013. "A Generalized Predictive Model of Water Table Fluctuations in Anisotropic Aquifer Due to Intermittently Applied Time-Varying Recharge from Multiple Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(1), pages 25-36, January.
    4. Payam Sarkhosh & Amgad Salama & Yee-Chung Jin, 2021. "Implicit Finite-Volume Scheme to Solve Coupled Saint-Venant and Darcy–Forchheimer Equations for Modeling Flow Through Porous Structures," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(13), pages 4495-4517, October.
    5. Mahdi Asadi-Aghbolaghi & Gholam Reza Rakhshandehroo, 2016. "Delineating Capture Zone of a Pumping Well in a Slanting Regional Groundwater Flow to a Stream with a Leaky Layer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(12), pages 4273-4291, September.
    6. S. Rai & A. Manglik, 2012. "An Analytical Solution of Boussinesq Equation to Predict Water Table Fluctuations Due to Time Varying Recharge and Withdrawal from Multiple Basins, Wells and Leakage Sites," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(1), pages 243-252, January.
    7. Chiu-Shia Fen & Hund-Der Yeh, 2012. "Effect of Well Radius on Drawdown Solutions Obtained with Laplace Transform and Green’s Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(2), pages 377-390, January.
    8. A. Bobba, 2012. "Ground Water-Surface Water Interface (GWSWI) Modeling: Recent Advances and Future Challenges," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(14), pages 4105-4131, November.

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