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Meshfree Multiquadric Solution for Real Field Large Heterogeneous Aquifer System

Author

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  • Sharad Patel

    (Indian Institute of Technology Bombay)

  • A. K. Rastogi

    (Indian Institute of Technology Bombay)

Abstract

Meshfree methods are often tested in literature for the rectangular domain with uniform aquifer properties (e.g. transmissivity or hydraulic conductivity) and constant groundwater head boundary conditions. In this paper, a multiquadric meshfree (Mfree) groundwater model is developed for a real field irregular domain aquifer system which is capable of incorporating variability like heterogeneity, temporally and spatially varied groundwater head and flow boundary conditions. The developed model is free from the inadequacy of meshing which eventually saves the time on computing resources by calculating the groundwater head-derivatives at different nodes sprinkled over the entire flow domain. Initially, two synthetic problems with pre- existing analytical and grid based results are tested against the presented model. Sensitivity analysis of different parameters like time step size, nodal density and support size of basis function are also investigated. Subsequently Mfree solutions are obtained for a large Mahi Right Bank Canal (MRBC) unconfined aquifer located in Gujarat India. The Mfree solution performance on two synthetic and one real field large aquifer problem revealed that the projected method is advantageous over other grid based simulator in terms of computational time consideration. Such a simulation is preferable in groundwater management models where flow models are coupled with the optimization problem.

Suggested Citation

  • Sharad Patel & A. K. Rastogi, 2017. "Meshfree Multiquadric Solution for Real Field Large Heterogeneous Aquifer System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2869-2884, July.
    • Handle: RePEc:spr:waterr:v:31:y:2017:i:9:d:10.1007_s11269-017-1668-8
    DOI: 10.1007/s11269-017-1668-8
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    References listed on IDEAS

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    1. Yi-min Wang & Jian-xia Chang & Qiang Huang, 2010. "Simulation with RBF Neural Network Model for Reservoir Operation Rules," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(11), pages 2597-2610, September.
    2. N. Kalaidzidou-Paikou & D. Karamouzis & D. Moraitis, 1997. "A Finite Element Model for the Unsteady Groundwater Flow over Sloping Beds," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 11(1), pages 69-81, February.
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    Cited by:

    1. Aatish Anshuman & T. I. Eldho, 2022. "Meshless Local Strong Form-based Method for Transport Simulation of Nonlinearly Adsorbing Solutes in a Highly Heterogeneous Confined Aquifer," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 36(4), pages 1443-1461, March.
    2. Cheng-Yu Ku & Chih-Yu Liu, 2023. "A Novel Spacetime Boundary-Type Meshless Method for Estimating Aquifer Hydraulic Properties Using Pumping Tests," Mathematics, MDPI, vol. 11(21), pages 1-23, October.
    3. Tinesh Pathania & Andrea Bottacin-Busolin & A. K. Rastogi & T. I. Eldho, 2019. "Simulation of Groundwater Flow in an Unconfined Sloping Aquifer Using the Element-Free Galerkin Method," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(8), pages 2827-2845, June.

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