Colloid-Facilitated Impurity Leaching in Statistically Homogeneous Dual-Porosity Media


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Abstract

A model for the leaching of an impurity from a statistically homogeneous dual-porosity medium is proposed. The region of partial leaching grows according to a diffusion law on moderate time scales. A region completely cleaned of the impurity whose boundary moves with a constant velocity arises on long time scales. A transition region is formed at the leaching front. Its size increases proportionally to the square root of time. The possibility of a significant acceleration of the leaching process by the introduction of colloidal particles capable of adsorbing the impurity into the fluid is shown.

About the authors

V. A. Kutsepalov

Moscow Institute of Physics and Technology (State University)

Email: matweev@ibrae.ac.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141701

L. V. Matveev

Nuclear Safety Institute; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: matweev@ibrae.ac.ru
Russian Federation, Bol’shaya Tul’skaya ul. 52, Moscow, 115191; Dolgoprudnyi, Moscow oblast, 141701

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