Mathematical modeling of in-situ leaching at the macroscopic level

Author(s):  O.V. Galtsev , candidate of Sciences, associate Professor, Belgorod State national research University\, Belgorod , Russia, galtsev_o@bsu.edu.ru

О.А. Galtseva, Belgorod State national research University, Belgorod , Russia, galtseva@bsu.edu.ru

Issue:  Volume 50, № 4

Rubric:  Physics. Mathematical modeling

Annotation:  There are a huge number of chemical and physical processes associated with the interaction of liquid and solid components. These processes include the in-situ leaching process of uranium, nickel, copper, precious metals and other solid compounds studied. Here we will rely on the mathematical description proposed by A.M. Meirmanov. [1], where the main idea is the presence of new conditions on the free (unknown) boundary between the liquid and solid phases (“pore space - solid skeleton”). These conditions express the usual laws of conservation of mass and the derivation of a mathematical model describing processes at the macroscopic level. The proposed method allows us to study how the dynamics of the free boundary depend on the propagation velocity of an inhomogeneous solution and external parameters (temperature, pressure and concentration of reagents)

Keywords:  hydrodynamic modeling, fluid flows, fluid-structure interaction

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