Optimal Design of Groundwater Wells' Placement and Pumping Rates by Use of a Simulation-Optimization Approach

Document Type : Original Article

Authors

1 Graduate, Department of Civil, Water, and Environmental Engineering, Shahid Beheshti University, Tehran, Iran

2 Assistant Professor, Department of Civil, Water and Environmental Engineering, Shahid Beheshti University, Tehran, Iran.

Abstract

Improper wells location and excessive groundwater extraction can cause severe damage to aquifers and lead to numerous economic consequences. The purpose of this study is to develop a simulation-optimization model for determination of optimal wells' placement and pumping rates, while satisfying the requirement of quantitative and qualitative considerations. The proposed model integrates the groundwater flow simulation model MODFLOW and the Particle Swarm Optimization algorithm. The coupled PSO-MODFLOW model has been applied to the Sarakhs aquifer in the north-east of Iran to minimize the total cost of drilling, transfering and water treatment for supplying the drinking demand of the Sarakhs city. Discharges as well as locations of the pumping wells were taken as the decision variables. Also, the maximum pumping rate and maximum water-table drawdown were incorporated as the problem's constraints. The results show that the proposed approach not only satisfies the constraints but also reduces the total cost of water withdrawal by 5% from 598 million Tomans in the present plan to 572 million Tomans in the optimum plan. Sensitivity analyses indicates that results are not significantly sensitive to changes in aquifer’s hydraulic conductivity, while the maximum pumping rate directly affects the number of required wells and can therefore make a considerable change in the final cost.

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Ayvaz MT,  Elçi 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. Journal of Hydrology 478:63–76
Ch S, Kumar D, Prasad RK, Mathur S (2013) Optimal design of an in-situ bioremediation system using support vector machine and particle swarm optimization. Journal of Contaminant Hydrology 151:105–116
Chaudhry S (2003) Unit cost of desalination. California Desalination Task Force, California Energy Commission, Sacramento, California
Conkling H (1946) Utilization of ground-water storage in stream system development. Transactions of the American Society of Civil Engineers 111(1):275–305
Davoodi MJ (2014) Dewatering optimization using firefly algorithm.  M.Sc. Thesis, Shahid Beheshti University (In Persian)
Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proc. of the Sixth International Symposium on Micro Machine and Human Science (MHS-1995), 4-6 October, Nagoya, Japan, 39-43
Elçi A, Ayvaz MT (2014) Differential-evolution algorithm based optimization for the site selection of groundwater production wells with the consideration of the vulnerability concept. Journal of Hydrology 511:736–749
Gaur S, Chahar B R, Graillot D (2011) Analytic elements method and particle swarm optimization based simulation-optimization model for groundwater management. Journal of Hydrology 402(3-4):217–227
Ghasemi-Nejad A (2015) Multi-objective water resource allocation planning considering qualitative and quantitative goals (Case study: Doosti Reservoir). M.Sc. Thesis, Shahid Beheshti University (In Persian)
Hsiao C-T, Chang L-C (2002) Dynamic optimal groundwater management with inclusion of fixed costs. Journal of Water Resources Planning and Management 128(1):57–65
Huang C, Mayer AS (1997) Pump-and-treat optimization using well locations and pumping rates as decision variables. Water Resources Research 33(5):1001–1012
Iran Ministry of Energy (2013) Standards code title 577. Iran Ministry of Energy Press, Tehran (In Persian).
Katsifarakis KL, Petala Z (2006) Combining genetic algorithms and boundary elements to optimize coastal aquifers management. Journal of Hydrology 327(1-2):200–207.
Ketabchi H, Ataie-Ashtiani B (2011) Development of Combined Ant Colony Optimization Algorithm and Numerical Simulation for Optimal Management of Coastal Aquifers. Iran-Water Resources Research 7(1):1-12 (In Persian)
Mantoglou A, Papantoniou M, Giannoulopoulos P (2004) Management of coastal aquifers based on nonlinear optimization and evolutionary algorithms. Journal of Hydrology 297(1-4)” 209–228.
McKinney DC, Lin M-D (1994) Genetic algorithm solution of groundwater management models. Water Resources Research 30(6):1897
Nakhaei M, Mohammadi M, Rezaie M (2014) Optimizing of aquifer withdrawal numerical model using genetic algorithm (case study: Uromiyeh coastal aquifer). Iran-Water Resources Research 10(2):94-97 (In Persian)
Park CH, Aral MM (2004) Multi-objective optimization of pumping rates and well placement in coastal aquifers. Journal of Hydrology 290(1-2):80–99.
Storck P, Eheart JW, Valocchi AJ (1997) A method for the optimal location of monitoring wells for detection of groundwater contamination in three-dimensional heterogeneous aquifers. Water Resources Research 33(9):2081
Todd DK, Mays LW (2005) Groundwater hydrology. John Wiley & Son, New Jersey
Toossab Consulting Engineers Company (2013) National water plan main report (Fifth volume: eastern basins). Iran Ministry of Energy Press, Tehran (In Persian)