ANALYTICAL STUDY OF THE SPATIAL EQUATION OF SALT TRANSFER IN THE FORM OF PLANE WAVES
Keywords:
Chemical fluid dynamics, salt transfer, filtration, Darcy's law, Stefan-Boltzmann equation, linearization, plane waves, water-salt regimeAbstract
This article examines a three-dimensional differential equation for salt transfer in porous media with constant filtration velocity components and diffusion coefficient. The authors propose a method for linearizing the original equation using exponential substitution, transforming it into a classical diffusion-attenuation equation. Using plane wave theory and separation of variables, a wide class of new exact analytical solutions (five different modifications) is constructed, which can be directly used for long-term forecasting of salinization-desalinization processes in reclaimed lands.
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