Journal of the Faculty of Engineering and Architecture of Gazi University, cilt.40, sa.3, ss.2103-2118, 2025 (SCI-Expanded)
The aim of this study is to develop an innovative approach for determining the appropriate solution point in the Grid-Based Optimization Method (GTOY), designed for the optimization of a groundwater observation (GWO) network. The method was applied to groundwater depth (GWD) measurements from 107 TSG wells located in a drainage basin over four periods per year and three years. For each period, the mean (M) and standard deviation (STD) statistics for the GWD values were calculated using the Inverse Distance Method (IRD) for each grid, representing 12 periods. For each different combination well distribution (PWD) to be optimized by reducing the number of wells, the M and STD statistics for the 12 periods were also calculated. The absolute differences between these statistics were calculated to find the M and STD estimation errors for each GWD. The information loss in the GWD estimations due to the reduction in the number of wells was calculated using a penalty score of CP = M + STD. Using this innovative approach, the change in CP values versus the number of wells was defined by an exponential function in finding the most suitable GWD cluster. By taking the first derivative of the function, the tangent slope angles of the optimized PPEs were calculated based on the number of wells. The tangent slope angles were grouped to obtain the most suitable sub-solution regions. Using an innovative approach based on mathematical analysis to determine the optimization point using GTOY, it was concluded that the number of wells could be reduced by 28%, resulting in maps with an 11.7% estimation error. Instead of conducting groundwater observations in the existing 107 wells in the field, it was recommended that 77 wells be used.