Scholarly record
ABOUT MODELLING OF MASS TRANSFER EFFECT AND OF HEAT AND MASS TRANSFER EFFECT ON THE STRESS-STRAIN STATE OF SOIL MASSIF
Abstract
When designing hydraulic, power and civil structures, special attention is paid to the study of the stress-strain state (SSS) of foundations from the soil environment. The operation of such structures often leads to changes in the SSS of the soil base, which can affect their stability. It is known that the SSS of soil bases significantly depends on the physical and mechanical properties of soils, hydrogeological conditions of the environment and the type of loads, in particular on the filtration of groundwater, mass and heat exchange of dissolved substances during filtration flows (dissolution and removal of soil). The position of the free surface of groundwater is especially important for ensuring the stability of structures, especially in conditions of its fluctuation due to pumping water from wells. A decrease in the level of the free surface due to intensive pumping of water can significantly change the SSS of soil massifs, which leads to subsidence, deformation or even destruction of structures. This study considers mathematical modelling of the SSS of soil foundations under complex hydrogeological conditions, taking into account mass transfer, heat and mass transfer of salt solutions during filtration, as well as the presence of a moving free surface of groundwater. The problem is formulated as a nonlinear boundary value problem in areas with complex curvilinear boundaries, for the solution of which it is proposed to use numerical conformal mapping in the inverse formulation together with the finite difference method.
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