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Modeling of Water Table Fluctuations in Response to Time-varying Recharge and Withdrawal

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  • A. Manglik
  • S. Rai

Abstract

An analytical solution of a two-dimensional linearized Boussinesqequation is presented to predict the water table fluctuations in anunconfined aquifer due to time-varying recharge and withdrawal frommultiple basins and wells, respectively. This solution is obtainedby using the finite Fourier sine transform. The time-varying recharge(discharge) rate is approximated by a number of piecewisse linearelements of different lengths and slopes depending on the nature ofthe variation in recharge (discharge) rate. Application of thesolution for the prediction of water table fluctuations and in thesensitivity analysis is demonstrated in an example. Copyright Kluwer Academic Publishers 2000

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:14:y:2000:i:5:p:339-347
    DOI: 10.1023/A:1011154903100
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. 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.
    2. Ghasem Zarei & Mehdi Homaee & Abdolmajid Liaghat, 2009. "Modeling Transient Evaporation from Descending Shallow Groundwater Table Based on Brooks–Corey Retention Function," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 23(14), pages 2867-2876, November.
    3. Concepcion Pla & Javier Valdes-Abellan & Antonio Jose Tenza-Abril & David Benavente, 2016. "Predicting Daily Water Table Fluctuations in Karstic Aquifers from GIS-Based Modelling, Climatic Settings and Extraction Wells," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(7), pages 2531-2545, May.
    4. Ali Mahdavi, 2019. "Response of Triangular-Shaped Leaky Aquifers to Rainfall-Induced Groundwater Recharge: an Analytical Study," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(6), pages 2153-2173, April.
    5. 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.
    6. 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.
    7. 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.
    8. Debashish Goswami & Prasanta Kalita & Edward Mehnert, 2010. "Modeling and Simulation of Baseflow to Drainage Ditches During Low-flow Periods," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(1), pages 173-191, January.

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    1. 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.
    2. 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.
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    4. 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.

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