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Transient-State Analytical Solution for Groundwater Recharge in Triangular-Shaped Aquifers Using the Concept of Expanded Domain

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  • Ali Mahdavi
  • Hamid Seyyedian

Abstract

The purpose of this work is to present analytical solution for linearized Boussinesq equation in triangular-shaped aquifers in response to transient recharge from an overlaying basin. Four different configurations of hydrogeological boundary conditions (constant-head and no-flow) are considered. At first, the solutions for the rectangular-shaped aquifers are obtained through the well known image well theory. Then, the concept of expanded domain is utilized to arrive at the solution for the intended triangular domain. The resulting point-recharge solution (Green’s function) facilitates treating any arbitrary shaped recharge basin subjected to spatiotemporal varying recharge. Few examples describing the nature of transient recharge in triangular-shaped aquifers are presented. The investigation of equipotential contour lines and velocity vector fields confirms the validity of the method adopted here. The computed mound profiles are in favourably well agreement with the numerical results obtained by finite element method. Stream flow rates due to recharging are also computed for a single case. Overall, the closed form solutions provide an effective tool in order to conduct sensitivity analysis on various hydrogeological parameters that affect the formation of groundwater mound in triangular-shaped aquifers. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:27:y:2013:i:8:p:2785-2806
    DOI: 10.1007/s11269-013-0315-2
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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.
    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.
    3. 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.
    4. S. Rai & R. Singh, 1998. "Evolution of the Water Table in a Finite Aquifer Due to Transient Recharge from Two Parallel Strip Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 12(3), pages 199-208, June.
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    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. Kudzai Chipongo & Mehdi Khiadani, 2015. "Comparison of Simulation Methods for Recharge Mounds Under Rectangular Basins," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(8), pages 2855-2874, June.
    3. 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.
    4. Ali Mahdavi, 2019. "Transient-state Analytical Solution for Arbitrarily-Located Multiwells in Triangular-Shaped Unconfined Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(10), pages 3615-3631, August.
    5. 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.

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