Estimation of Groundwater Level Profile Using Haar Wavelet in Sustainable Agriculture

Subject Areas : Optimizing water consumption

Shiva Khosravi ¹ , Amir Robati ^{2 *}

1 - PhD Student, Department of Civil Engineering and Water Resources Management, Kerman Branch, Islamic Azad University, Kerman, Iran
2 - Department of Civil Engineering, Kerman Branch, Islamic Azad University, Kerman, Iran

Received: 2024-10-02 Accepted : 2024-11-05 Published : 2024-12-20

Keywords: Estimation, Groundwater Level, Haar Wavelet,

Abstract :

Water Since groundwater resources are the major source of water supply, therefore, the estimation of the groundwater level profile plays an important role in the management of valuable water resources. Nowadays, due to the increasing aquifer use, groundwater levels are declining. The sustainable management of groundwater resources requires high level of knowledge and skills in planning. Accurate groundwater level estimation allows water managers and engineers to develop better strategies to manage groundwater resources. In recent years, the Haar wavelet method has been very effective in solving engineering problems. In this study, in order to investigate the efficiency of the Haar wavelet method, governing equations of groundwater level profile estimation in confined and unconfined aquifer have been used. In this method, the differential equation is converted into a system of algebraic equations that contains a few variables and solution of differential equation is obtained. After solving the algebraic equations, the values of multipliers are obtained. By substituting the boundary conditions in Haar wavelet functions, the values of coefficients determined.  After putting the values of coefficients in the basic equation, differential equations are solved. The results of engineering problems using Haar wavelet compared with the solution of the exact mathematical method in related references. The comparisons indicate both of the solution in problems are the same. The results of show that even with a finite number of collocation points, the Haar wavelet method is highly accurate and the solution obtained from the Haar wavelet method is quite similar to the exact mathematical method

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