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In this paper, with the help of mathematical modeling we investigate growth under saline lens bottom blocks of the cathode aluminum cell. The penetration of the melt in the hearth of the cathode of the device is one of the main causes of premature shutdown of cells, because it leads to excessive heat loss and destruction of the hearth. The study was built mathematical model of unsteady filtration and heat the porous body with an incompressible viscous fluid. With the help of the developed mathematical model we studied the dynamics of growth of the lens. Research has identified the rate of melt penetration into the hearth of the cathode unit in the course of its life. The calculation results were compared with the field data

Mathematical Modeling of Salt Lens Formation Process in the Cathode Assembly of Aluminum Electrolysis Cells