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MATHEMATICAL MODELING OF HEAT TRANSFER IN THE SOIL LAYER DURING A FOREST FIRE, TAKING INTO ACCOUNT THE DAILY DYNAMICS OF SOIL TEMPERATURE
Abstract
Forest fires damage biogeocenoses. Forest fires affect trees, vegetation and soils. This influence can be both positive and negative. The thermal effect of a forest fire on the soil layer is important. It is necessary to develop mathematical models for understanding the processes of thermal effects of a forest fire on the surface soil layer. Earlier, a simple mathematical model was developed which takes into account the given characteristics of a forest fire and heat transfer in the soil layer by conduction. The purpose of the work is mathematical modeling of heat transfer in the soil layer under the influence of a forest fire, taking into account the daily dynamics of soil temperature. Mathematically, the heat transfer in the soil layer is described by a system of non-stationary partial differential equations with corresponding initial and boundary conditions. When setting the boundary conditions, the daily variation of the soil temperature is taken into account. The dependences of the temperature in the vertical layer of the soil at different points during and after exposure to a forest fire are obtained. The results can be applied in the development of information and computing systems for predicting the impact of forest fires on soils. Such systems can be used for geo-ecological monitoring of forests in conditions of active forest fires.
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