The groundwater level changing processes modeling in 2D and 3D formulation

Abstract

The objective of this study was to develop a mathematical model to determine the tendency of the groundwater level changes under the influence of external factors to prevent environmentally hazardous impacts and emergency situations. Mathematical methods (analytical solution of differential filtration equations involved the computer program Maple) - for creation the groundwater level changes model, methods of ecological and economic assessment and comparative analysis - for the identification of groundwater level impact important factors and groundwater level impact on the environment, balance method - for assessing the groundwater level changes. The mathematical model in 2D formulation works from any value of the initial groundwater level. The value of groundwater level changing at constant evapotranspiration has been obtained, which has been visualized by calculations for limited areas of the Kharkiv territory. Three-dimensional modelling of groundwater level changing in contrast to two-dimensional allows to take into account the dependence of evapotranspiration on the presence of artificial coverings on the soil surface, which are located unevenly and have different filtration coefficients, which causes corresponding groundwater level changes of urban areas. The nature of groundwater level changes under the influence of external factors has been determined. The necessity to create three-dimensional mathematical models to describe groundwater level changes and improve forecasts of their changes have been identified. A three-dimensional mathematical model of urban groundwater level changes, such as atmospheric water infiltration, additional groundwater replenishment, transpiration, evaporation, evapotranspiration, and groundwater abstraction has been developed. The boundary conditions of the three-dimensional mathematical model have been formulated.