Skip to main content

Groundwater Management Using Coupled Analytic Element Based Transient Groundwater Flow and Optimization Model

  • Chapter
  • First Online:
Nature-Inspired Methods for Metaheuristics Optimization

Part of the book series: Modeling and Optimization in Science and Technologies ((MOST,volume 16))

Abstract

The groundwater management problems are broadly solved using the coupled simulation-optimization model. In the coupled simulation-optimization model, Analytic element method (AEM) based simulation model and particle swarm optimization (PSO) based optimization model is adopted to find out the best groundwater management strategy. Moreover, the coupled model is applied to a illustrative example to check its efficiency in solving the groundwater management problems involving large number of decision variables. Two-dimensional isotropic, homogeneous and confined aquifer is considered for the groundwater flow simulation. AEM is used to simulate the groundwater flow and to penalize the constraints, whereas PSO is used to evaluate the objective function (time varying operating cost) of the management problem. The optimization model calls the simulation model repeatedly until the stopping criterion is achieved. To evaluate the performance of the developed methodology optimization model using Nelder-Meade method is also considered. The obtained results are compared with PSO based optimization model. Obtained results demonstrate the potential applicability of the model to solve groundwater management problems.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ayvaz MT, Elci A (2013) A groundwater management tool for solving the pumping cost minimization problem for the Tahtali watershed (Izmir-Turkey) using hybrid HS-Solver optimization algorithm. J Hydrol 478:63–76

    Article  Google Scholar 

  2. Baltar AM, Fontane DG (2008) Use of multiobjective particle swarm optimization in water resources management. J Water Resour Plan Manag 134(3):257–265

    Article  Google Scholar 

  3. Belegundu AD, Chandrupatla TR (2002) Optimization concepts and applications in engineering. Pearson Education Pvt. Ltd, Delhi, India, p 432

    Google Scholar 

  4. Chang LC, Chen YW, Yeh MS (2009) Optimizing system capacity expansion schedules for groundwater supply. Water Resour Res 45(7):W07407

    Article  Google Scholar 

  5. Chang J, Bai T, Huang Q, Yang D (2013) Optimization of water resources utilization by PSO-GA. Water Resour Manag 27(10):3525–3540

    Article  Google Scholar 

  6. Chu HJ, Chang LC (2009) Applying particle swarm optimization to parameter estimation of the nonlinear Muskingum model. J Hydrol Eng 14(9):1024–1027

    Article  Google Scholar 

  7. Dhar A, Datta B (2009) Saltwater intrusion Management of Coastal Aquifers. I: linked simulation-optimization. J Hydrol Eng 14(12):1263–1272

    Article  Google Scholar 

  8. Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186:311–338

    Article  Google Scholar 

  9. El-Ghandour HA, Elsaid A (2013) Groundwater management using a new-coupled model of flow analytical solution and particle swarm optimization. Int J Water Resour Environ Eng 5(1):1–11

    Article  Google Scholar 

  10. Gaur S, Chahar BR, Graillot D (2011a) Analytic element method and particle swarm optimization based simulation-optimization model for groundwater management. J Hydrol 402(3):217–227

    Article  Google Scholar 

  11. Gaur S, Mimoum D, Graillot D (2011b) Advantages of the analytic element method for the solution of groundwater management problems. Hydrol Process 25(22):3426–3436

    Article  Google Scholar 

  12. Gaur S, Sudheer C, Graillot D, Chahar BR, Kumar DN (2013) Application of artificial neural networks and particle swarm optimization for the management of groundwater resources. Water Resour Manag 27(3):927–941

    Article  Google Scholar 

  13. Haitjema HM (1995) Analytic element modeling of groundwater flow. Academic, San Diego

    Google Scholar 

  14. Hsiao CT, Chang LC (2002) Dynamic optimal groundwater management with inclusion of fixed costs. J Water Resour Plann Manag 128(1):57–65

    Article  Google Scholar 

  15. Hunt J (2006) Groundwater modeling applications using the analytic element method. Ground Water 44(1):5–15

    Article  Google Scholar 

  16. Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceeding of the IEEE international conference on neural networks, IEEE service center, Piscataway, NJ, pp 1942–1948

    Google Scholar 

  17. Kumar D, Reddy J (2007) Multiple reservoir operation using particle swarm optimization. J Water Resour Plann Manag 133(3):192–202

    Article  Google Scholar 

  18. Majumder P, Eldho TI (2016) A new groundwater management model by coupling analytic element method and reverse particle tracking with cat swarm optimization. Water Resour Manag 30(6):1953–1972

    Article  Google Scholar 

  19. Mategaonkar M, Eldho TI (2012) Groundwater remediation optimization using a point collocation method and particle swarm optimization. J Environ Model Softw 32:37–48

    Article  Google Scholar 

  20. Matott LS, Rabideau AJ, Craig JR (2006) Pump-and-treat optimization using analytic element method flow models. Adv Water Resour 29(5):760–775

    Article  Google Scholar 

  21. Moghaddam A, Behmanesh J, Farsijani A (2016) Parameters estimation for the new four-parameter nonlinear Muskingum model using the Particle Swarm Optimization. Water Resour Manag 30(7):2143–2160

    Article  Google Scholar 

  22. Sedki A, Ouazar D (2011) Swarm intelligence for groundwater management optimization. J Hydroinf 13(3):520–532

    Article  Google Scholar 

  23. Strack ODL (1989) Groundwater mechanics. Prentice Hall, Englewood Cliffs

    Google Scholar 

  24. Strack ODL, Haitjema HM (1981a) Modeling double aquifer flow using a comprehensive potential and distributed singularities: 1. Solution for homogeneous permeability. Water Resour Res 17(5):1535–1549

    Article  Google Scholar 

  25. Strack ODL, Haitjema HM (1981b) Modeling double aquifer flow using a comprehensive potential and distributed singularities: 2. Solution for inhomogeneous permeabilities. Water Resour Res 17(5):1551–1560

    Article  Google Scholar 

  26. Zaadnoordijk WJ, Strack ODL (1993) Area sinks in the analytic element method for transient groundwater flow. Water Resour Res 29(12):4121–4129

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anirban Dhar .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Kumari, K., Dhar, A. (2020). Groundwater Management Using Coupled Analytic Element Based Transient Groundwater Flow and Optimization Model. In: Bennis, F., Bhattacharjya, R. (eds) Nature-Inspired Methods for Metaheuristics Optimization. Modeling and Optimization in Science and Technologies, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-26458-1_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-26458-1_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26457-4

  • Online ISBN: 978-3-030-26458-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics