Water and Irrigation Management

Water and Irrigation Management

Identification the Location and Pumping Discharge of Unknown Wells Using the Learning Automata Algorithm

Document Type : Research Paper

Authors
Ravak Pourjafar Chafjiri 1
Hossein Mohammad Vali Samani 1
Habib Mousavi Jahromi 2
1 Department of Civil Engineering, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
2 Department of Civil Engineering, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran,
10.22059/jwim.2023.352151.1035
Abstract
The present article proposes a model using the inverse problem to find locations and pumping discharges of ‎‎unknown wells. The simulation is performed by using the two-dimensional groundwater flow equation, which is solved by ‎the finite difference numerical technique. The learning automata algorithm has been used as a tool for ‎optimization. ‎The simulation and the optimization models are linked to obtaining the final model. To identify the ‎location and discharge of the unknown wells, the proposed model changes the discharges of the wells and studies ‎the influence on the objective function which is the root mean square error of the calculated and observed ‎‎piezometric head. The wells which increase the objective function are deleted. After the completion of this ‎stage, the locations of the wells are moved to the vicinity in all directions and the locations which yield fewer ‎errors in terms of the objective function will result in the final locations. To check the efficiency of this ‎model, two hypothetical aquifers were used in ‎a steady and unsteady flow state, in which there are some ‎unknown wells. The prepared model showed the ‎ability to determine these wells' number, location, and flow rate ‎with the accuracy of the root mean square error of 0.061 meters in the first numerical example and 0.010 in the second numerical example.
Keywords
Inverse Problem
Learning Automata
Optimization
Unknown Wells
Subjects
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Water and Irrigation Management
Volume 13, Issue 3
Autumn 2023
Pages 629-649