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A Nonlinear Model of Three-Layer Groundwater Flow with Evaporation Dependent on the Critical Groundwater Level

Abdinabi MukhamadiyevDepartment of Computer Engineering, Gachon University, Sujeong-gu, Seongnam-si 13120, Republic of KoreaMarat KarimovResearch Institute for the Development of Digital Technologies and Artificial Intelligence, 17A, Buz-2, Tashkent 100125, UzbekistanToshtemir KhujakulovTashkent Islamic UniversityOtabek SattarovDepartment of Data Communication Networks and Systems, Tashkent University of Information Technologies, Tashkent 100084, UzbekistanJinsoo ChoDepartment of Computer Engineering, Gachon University, Sujeong-gu, Seongnam-si 13120, Republic of Korea

Mathematicsjournal2026en

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Annotatsiya

A nonlinear mathematical model is developed for unsteady groundwater flow in a three-layer heterogeneous aquifer system, comprising a confined aquifer, a covering layer, and a weakly permeable barrier. The model incorporates infiltration and evaporation governed by the M.M. Krylov–S.F. Averyanov law, where evaporation intensity depends on a critical groundwater level. Governing equations are nondimensionalized and solved using the alternating direction implicit (ADI) method with quasi-linearization to treat nonlinearities. Periodic variations in precipitation and evaporation are considered, alongside variable boundary permeabilities. The approach enables realistic simulation of multi-layer aquifer dynamics under diverse climatic and hydrogeological conditions, offering a robust tool for sustainable groundwater management, drought risk assessment, and aquifer protection strategies.

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Mavzular

Groundwater flow and contamination studies Hydrology and Watershed Management Studies Groundwater and Isotope Geochemistry

Identifikatorlar

DOI: 10.3390/math14020256

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