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Mathematical modeling of infiltration metasomatism in a porous medium

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Abstract

We construct a mathematical model describing the processes of dissolution and redeposition of minerals in a medium with a nonhomogeneous distribution of acidity. The dynamics of extraction of a mineral from a leaching solutions is investigated. We show that filtration of solutions through reduced acidity regions induces deposition, increasing the concentration of the target mineral in the solid phase; in high pH regions, on the other hand, the mineral dissolves. The stratum may retain certain reserves of the target mineral after leaching depending on the size of the reduced pH region and its proximity to the extraction borehole.

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References

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  4. A. A. Kantsel’ and E. S. Kurkina, “Modeling dissolution in a filtration flow,” Prikl. Mat. Informatika, No. 21, 30–47 (2005).

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. I. Dmitriev

  2. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    A. A. Kantsel’ & E. S. Kurkina

Authors
  1. V. I. Dmitriev
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  2. A. A. Kantsel’
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  3. E. S. Kurkina
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Correspondence to V. I. Dmitriev.

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Translated from Prikladnaya Matematika i Informatika, No. 26, pp. 5–17, 2007.

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Dmitriev, V.I., Kantsel’, A.A. & Kurkina, E.S. Mathematical modeling of infiltration metasomatism in a porous medium. Comput Math Model 19, 239–247 (2008). https://doi.org/10.1007/s10598-008-9000-3

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  • DOI: https://doi.org/10.1007/s10598-008-9000-3

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