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Two-Dimensional Modelling of Water Table Fluctuations due to Time-Varying Recharge from Rectangular Basin

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  • A. Manglik
  • S. Rai

Abstract

A prior knowledge of the water table fluctuations, in response to the proposed recharge scheme, is essential to achieve the preset objectives of ground water resources management. In this paper an analytical solution of the linearised Boussinesq's equation is presented to predict the spatio-temporal variation of the water table in an aquifer system in response to time-varying recharge applied through a rectangular basin. The recharge function is approximated by introducing a number of line segments depending on its nature of variation. The solution is obtained by using finite Fourier sine transform and its application is demonstrated for a case of periodically applied recharge. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:12:y:1998:i:6:p:467-475
    DOI: 10.1023/A:1008084304514
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    References listed on IDEAS

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    1. A. Manglik & S. Rai & R. Singh, 1997. "Response of an Unconfined Aquifer Induced by Time Varying Recharge from a Rectangular Basin," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 11(3), pages 185-196, June.
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    Cited by:

    1. 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.
    2. Ali Mahdavi, 2015. "Transient-State Analytical Solution for Groundwater Recharge in Anisotropic Sloping Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3735-3748, August.
    3. 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.
    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.
    5. Ali Mahdavi & Hamid Seyyedian, 2013. "Transient-State Analytical Solution for Groundwater Recharge in Triangular-Shaped Aquifers Using the Concept of Expanded Domain," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(8), pages 2785-2806, June.

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    1. 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.

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