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Approximate models of salt transfer with washings of soils with water-impermeable base

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Abstract

On the basis of an approximate model of filtration with drainage washings of a soil layer with a water-impermeable base [1], shown schematically in Fig. 1, an investigation is made of the desalinization process of soils for several forms of the equations of salt transfer between the moving solution and the fixed phase. Neglect of the external diffusion makes it possible to reduce the investigation to the solution of one-dimensional boundary-value problems, characterizing salt transfer along fixed streamlines. Analogous problems were discussed in [2] with application to the one-dimensional filtration of wash waters in a dry soil.

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Literature cited

  1. V. N. Émikh, “Filtration of ground waters with drainage washes of a soil layer with an impermeable base,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1974).

  2. V. I. Pen'kovskii, “One-dimensional problems of dissolution and washing-out of salts during filtration with large values of the Péclet number,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2 (1969).

  3. S. N. Numerov and A. N. Patrashev, “The diffusion of dissolved substances in the foundations of hydraulic engineering constructions,” Tr. Leningr. Politekh. Inst., No. 4 (1947).

  4. V. A. Ditkin and A. P. Prudnikov, Integral Transformations and Operational Calculations [in Russian], Fizmatgiz, Moscow (1961).

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  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products, Academic Press (1966).

  6. N. N. Verigin, “Kinetics of the dissolution of salts with the filtration of water in soils,” in: Dissolution and Leaching of Rocks [in Russian], Gosstroiizdat, Moscow (1957).

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Authors and Affiliations

  1. Novosibirsk

    M. L. Frenkel'

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  1. M. L. Frenkel'
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 44–51, January–February, 1978.

The author thanks V. N. Émikh and V. I. Pen'kovskii for their repeated and useful evaluations of the work.

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Frenkel', M.L. Approximate models of salt transfer with washings of soils with water-impermeable base. Fluid Dyn 13, 31–37 (1978). https://doi.org/10.1007/BF01094456

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  • DOI: https://doi.org/10.1007/BF01094456

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