کاربرد مدل هیبریدی FEM-ACO در تعیین مکان های بهینه چاه های برداشت

نوع مقاله : مقاله پژوهشی


1 دانشیار گروه مهندسی عمران، دانشکده مهندسی، دانشگاه بیرجند، بیرجند، ایران

2 علوم و مهندسی آب، دانشکده کشاورزی، دانشگاه بیرجند

3 گروه علوم و مهندسی آب، دانشکده کشاورزی، دانشگاه بیرجند.


در این مقاله، یک مدل هیبریدی بهینه‌سازی – شبیه‌سازی برای ارزیابی سیاست پمپاژ مطلوب در یک آبخوان مصنوعی استفاده شده است. در این مطالعه میزان افت سطح آب زیرزمینی در یک آبخوان آزاد فرضی به مساحت 5/1 کیلومتر مربع و سه هدایت هیدرولیکی متفاوت با ضخامت 100 متر و هم‌چنین تعداد ده حلقه چاه برداشت مورد بررسی قرار گرفت. جهت تخمین سطح آب زیرزمینی آبخوان از روش المان محدود و جهت بهینه‌سازی موقعیت چاه‌های برداشت از الگوریتم جامعه مورچگان استفاده شد و در نهایت مدل FEM-ACO ارائه گردید. موقعیت چاه‌های برداشتی با دبی مشخص به صورتی بهینه‌یابی می‌شود که میزان افت سطح آب زیرزمینی در آبخوان کمینه گردد. در این راستا تعداد مقادیر مختلف تعداد مورچه‌ها، تأثیر میزان تبخیر فرامان و تأثیر درصد نخبه‌های یک مجموعه از مورچه‌ها بر مقدار تابع هدف مورد بررسی قرار گرفت. نتایج نشان داد که الگوریتم‌های مورچگان ترتیبی و الگوریتم مورچگان نخبه با عملکردی تقریباً یکسان بهترین عملکرد را در بین الگوریتم‌های مورچگان داشته‌اند و پس از آن‌ها، الگوریتم جامعه مورچگان و الگوریتم مورچگان بیشینه-کمینه در رتبه‌های بعدی قرار دارند. تمامی الگوریتم‌های مورچگان خیلی زود به همگرایی رسیدند که این همگرایی زودرس به یک بهینه سراسری مناسب را می‌توان به دلیل استفاده از قیود زنجیره‌ای دانست. در نهایت بعد از بررسی مدل ارائه شده، موقعیت مناسب چاه‌های برداشت مشخص گردید. هم‌چنین نتایج نشان داد که حداکثر افت آب آبخوان حدود 5/2 متر می‌باشد.


عنوان مقاله [English]

Application of the FEM-ACO Hybrid Model in Determining the Optimum Locations for Pumping Wells

نویسندگان [English]

  • Abolfazl Akbarpour 1
  • mohamad javad zeynali 2
  • Mohammad Nazeri-Tahroudi 3
1 Associate Professor, Department of Civil Engineering, University of Birjand., Birjand., Iran
2 Science and engineering of water,faculty of agriculture, Birjand university
3 Department of Sciences and Water Engineering, University of Birjand
چکیده [English]

In this paper, an optimization simulation hybrid model is used to evaluate the optimum pumping policy in an artificial aquifer. In this study, the groundwater level drop was investigated in a hypothetical free aquifer with a surface area of 1.5 square kilometers and three different hydraulic conductivity with a thickness of 100 meters, as well as ten pumping wells. In order to estimate the groundwater level of the aquifer, the finite element method was used and to optimize the position of the wells, used the algorithm of the ant colony and finally the FEM-ACO model was presented. The position of wells with a specific discharge is optimized to minimize groundwater level losses in the aquifer. In this regard, the number of different number of ants, the effect of Foramen evaporation and the effect of the elite percentage of an ant collection on the value of the objective function were investigated. The results showed that sequencer antler algorithms and elite ant anchor algorithms with almost identical performance have the best performance among the antler algorithms, and after that, the antler community algorithm and the max-minimal ant antler algorithm are in the next ranks. All of the ant colony algorithms arrived too quickly into convergence, which makes this early convergence a suitable global optimum due to the use of chain constraints. Finally, after considering the proposed model, the proper position of the wells was determined. The results also showed that the maximum water loss in the aquifer is about 2.5 m.

کلیدواژه‌ها [English]

  • Ant algorithm
  • Aquifer
  • Finite Element
  • Groundwater
  • Optimization
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