IDEAS home Printed from https://ideas.repec.org/a/spr/waterr/v31y2017i1d10.1007_s11269-016-1533-1.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11269-016-1533-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11269-016-1533-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    8. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. H. Delottier & A. Pryet & A. Dupuy, 2017. "Why Should Practitioners be Concerned about Predictive Uncertainty of Groundwater Management Models?," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(1), pages 61-73, January.
    4. Jérôme Texier & Julio Gonçalvès & Agnès Rivière, 2022. "Numerical Assessment of Groundwater Flowpaths below a Streambed in Alluvial Plains Impacted by a Pumping Field," Post-Print hal-03629140, HAL.
    5. 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.
    6. 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.
    7. Dimitris Alexakis & Vassiliοs Tsihrintzis & George Tsakiris & Georgios Gikas, 2016. "Suitability of Water Quality Indices for Application in Lakes in the Mediterranean," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1621-1633, March.
    8. Dimitris Alexakis & Vassiliοs A. Tsihrintzis & George Tsakiris & Georgios D. Gikas, 2016. "Suitability of Water Quality Indices for Application in Lakes in the Mediterranean," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(5), pages 1621-1633, March.
    9. V. Phogat & N. J. Potter & J. W. Cox & J. Šimůnek, 2017. "Long-Term Quantification of Stream-Aquifer Exchange in a Variably-Saturated Heterogeneous Environment," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(13), pages 4353-4366, October.
    10. Rossetto, Rudy & De Filippis, Giovanna & Triana, Federico & Ghetta, Matteo & Borsi, Iacopo & Schmid, Wolfgang, 2019. "Software tools for management of conjunctive use of surface- and ground-water in the rural environment: integration of the Farm Process and the Crop Growth Module in the FREEWAT platform," Agricultural Water Management, Elsevier, vol. 223(C), pages 1-1.
    11. Robyn Johnston & Vladimir Smakhtin, 2014. "Hydrological Modeling of Large river Basins: How Much is Enough?," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(10), pages 2695-2730, August.
    12. T. Fowe & I. Nouiri & B. Ibrahim & H. Karambiri & J. Paturel, 2015. "OPTIWAM: An Intelligent Tool for Optimizing Irrigation Water Management in Coupled Reservoir–Groundwater Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(10), pages 3841-3861, August.
    13. 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.
    14. Qian Zhang & Xiujuan Liang & Zhang Fang & Tao Jiang & Yubo Wang & Lei Wang, 2016. "Urban water resources allocation and shortage risk mapping with support vector machine method," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 81(2), pages 1209-1228, March.
    15. 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.
    16. Qian Zhang & Xiujuan Liang & Zhang Fang & Tao Jiang & Yubo Wang & Lei Wang, 2016. "Urban water resources allocation and shortage risk mapping with support vector machine method," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 81(2), pages 1209-1228, March.
    17. Emin Ciftci, 2019. "A New Approach for Analyzing Drawdown Data from a Partially Penetrating Well," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2727-2739, June.
    18. Jiyang Tian & Chuanzhe Li & Jia Liu & Fuliang Yu & Shuanghu Cheng & Nana Zhao & Wan Zurina Wan Jaafar, 2016. "Groundwater Depth Prediction Using Data-Driven Models with the Assistance of Gamma Test," Sustainability, MDPI, vol. 8(11), pages 1-17, October.
    19. Singh, Ajay, 2014. "Simulation–optimization modeling for conjunctive water use management," Agricultural Water Management, Elsevier, vol. 141(C), pages 23-29.
    20. Zhang, Chenglong & Engel, Bernard A. & Guo, Ping, 2018. "An Interval-based Fuzzy Chance-constrained Irrigation Water Allocation model with double-sided fuzziness," Agricultural Water Management, Elsevier, vol. 210(C), pages 22-31.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:waterr:v:31:y:2017:i:1:d:10.1007_s11269-016-1533-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.