• Title/Summary/Keyword: multiple global minima

Search Result 11, Processing Time 0.014 seconds

Global Optimization of Placement of Multiple Injection Wells with Simulated Annealing (담금질모사 기법을 이용한 인공함양정 최적 위치 결정)

  • Lee, Hyeonju;Koo, Min-Ho;Kim, Yongcheol
    • The Journal of Engineering Geology
    • /
    • v.25 no.1
    • /
    • pp.67-81
    • /
    • 2015
  • A FORTRAN program was developed to determine the optimal locations of multiple recharge wells in an aquifer with different arrangements of pumping wells. The simulated annealing algorithm was used to find optimal locations of two recharge wells which satisfied three objective functions. The model results show that locating two injection wells inside the cluster of pumping wells is efficient if the recovery rate only was taken into account. In contrast, placing injection wells to the side of the cluster is desirable if the simulation considers aggregate objective function. Therefore, installing an injection well on each side of the cluster seems to yield the maximum recovery rates for the existing pumping wells, and it yields similar increases in pumping rate for all wells in the cluster. The locations of recharge wells can be arranged in numerous configurations, because there are multiple near-optimal local minima or maxima. These results indicate that the simulated annealing can yield effective evaluations of the optimal locations of multiple recharge wells. In addition, the suggested aggregate objective function can be utilized as an appropriate multi-objective optimization.