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New Analytical Expressions for Two-Dimensional Aquifer Adjoining with Streams of Varying Water Level

Author

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  • Iraj Saeedpanah

    (University of Zanjan)

  • Ramin Golmohamadi Azar

    (University of Zanjan)

Abstract

This research presents new analytical expressions to analyze interactions between streams of varying water level and a confined aquifer. The stream water level is assumed to vary exponentially with time. The expressions are obtained by means of Laplace and Fourier transform methods and the results are verified with those obtained from MODFLOW. In fact, we derive a new analytical expression for predicting of the groundwater level and flow rate in a confined aquifer between two streams of varying water level at the north and the right boundaries and two constant head boundaries at the left and the south ends. Also, a numerical example is used to investigate about the aquifer response to stream water level changes. Therefore the effects of variation water level of each stream on the flow rate at the left and the south boundaries and also at four points of the aquifer are discussed. Finally, some other new analytical expressions are also deduced for other types of boundary conditions.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:1:d:10.1007_s11269-016-1533-1
    DOI: 10.1007/s11269-016-1533-1
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    References listed on IDEAS

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    1. 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.
    2. K. Katsifarakis, 2008. "Groundwater Pumping Cost Minimization – an Analytical Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 22(8), pages 1089-1099, August.
    3. Miguel Pérez-Martín & Teodoro Estrela & Joaquín Andreu & Javier Ferrer, 2014. "Modeling Water Resources and River-Aquifer Interaction in the Júcar River Basin, Spain," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(12), pages 4337-4358, September.
    4. 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.
    5. Nikitas Mylopoulos & Y. Mylopoulos & D. Tolikas & N. Veranis, 2007. "Groundwater modeling and management in a complex lake-aquifer system," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 21(2), pages 469-494, February.
    6. 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.
    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.
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    9. Roland Barthel & Stefan Banzhaf, 2016. "Groundwater and Surface Water Interaction at the Regional-scale – A Review with Focus on Regional Integrated Models," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(1), pages 1-32, January.
    10. 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.
    11. Hamid Safavi & Mahdieh Esmikhani, 2013. "Conjunctive Use of Surface Water and Groundwater: Application of Support Vector Machines (SVMs) and Genetic Algorithms," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 2623-2644, May.
    12. 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.
    13. Tim Sparks & Bettina Bockelmann-Evans & Roger Falconer, 2013. "Development and Analytical Verification of an Integrated 2-D Surface Water—Groundwater Model," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(8), pages 2989-3004, June.
    14. Narayan Ghosh & Sumant Kumar & Gesche Grützmacher & Shakeel Ahmed & Surjeet Singh & Christoph Sprenger & Raj Singh & Biswajit Das & Tanvi Arora, 2015. "Semi-Analytical Model for Estimation of Unsteady Seepage from a Large Water Body Influenced by Variable Flows," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(9), pages 3111-3129, July.
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    Cited by:

    1. 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.
    2. K. L. Katsifarakis & I. A. Nikoletos & Ch. Stavridis, 2018. "Minimization of Transient Groundwater Pumping Cost - Analytical and Practical Solutions," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(3), pages 1053-1069, February.

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