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Cybernetics and Systems Analysis

, Volume 42, Issue 6, pp 831–838 | Cite as

System approach to mathematical modeling of filtration consolidation

  • V. M. Bulavatskii
  • V. V. Skopetskii
Systems Analysis

Abstract

Filtration consolidation is modeled taking into account salt saturation of soil and the nonisothermal and relaxation nature of the filtration process. A boundary-value problem for a soil mass consolidated on an impermeable bed is posed, its approximated solution is obtained, and the results of numerical experiments are presented.

Keywords

mathematical simulation filtration consolidation nonclassical models relaxation systems of partial differential equations boundary-value problems method of lines 

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References

  1. 1.
    P. L. Ivanov, Soils and Foundations of Hydraulic Engineering Structures [in Russian], Vysshaya Shkola, Moscow (1991).Google Scholar
  2. 2.
    A. P. Vlasyuk and O. F. Zherebyat’ev, “Filtration consolidation of argillaceous soils under mass transfer of salts,” Visn. Derzh. Akad. Vodn. Gosp., Issue 1, Pt. 1, 40–43 (1998).Google Scholar
  3. 3.
    A. P. Vlasyuk and P. M. Martynyuk, “Numerical solution to the problem of filtration consolidation of the body of a soil dam with regard for mass transfer of salts,” Visn. Kyiv. Univ., Ser. Fiz.-Mat. Nauk, Issue 2, 197–204 (2000).Google Scholar
  4. 4.
    A. P. Vlasyuk and P. M. Martynyuk, Mathematical Simulation of Soil Consolidation During Filtration of Salt Solutions [in Ukrainian], Rivne, Vyd. UDUVGP (2004).Google Scholar
  5. 5.
    V. V. Skopetskii and V. M. Bulavatskii, “Mathematical simulation of filtration consolidation of salt-saturated soil mass by solutions under conditions of relaxation filtration,” Dop. NANU, No. 2, 55–61 (2006).Google Scholar
  6. 6.
    A. P. Vlasyuk and P. M. Martynyuk, “Application of stabilized FEM schemes to the numerical simulation of the filtration consolidation of the body of a soil dam with account for heat and mass transfer,” Mat. Metody ta Fiz.-Mekh. Polya, 48, No. 2, 59–70 (2005).MATHGoogle Scholar
  7. 7.
    Yu. M. Molokovich, N. I. Neprimerov, V. I. Pikuza, and A. V. Shtanin, Relaxation Filtration [in Russian], Izd. Kazn. Univ., Kazan (1980).Google Scholar
  8. 8.
    I. I. Lyashko, L. I. Demchenko, and G. E. Mistetskii, Numerical Solution to Problems of Heat and Mass Transfer in Porous Media [in Russian], Naukova Dumka, Kyiv (1991).Google Scholar
  9. 9.
    I. I. Lyashko, V. L. Makarov, and A. A. Skorobogat’ko, Methods of Calculation [in Russian], Vyshcha Shkola, Kyiv (1977).Google Scholar
  10. 10.
    V. I. Lebedev, “Equations and convergence of a differential-difference method (method of lines),” Vestn. MGU, Ser. Fiz.-Mat. Nauk, No. 10, 47–58 (1955).Google Scholar
  11. 11.
    N. S. Bakhvalov, N. P. Zhidkov, and G. M. Kobel’kov, Numerical Methods [in Russian], Nauka, Moscow (1987).MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • V. M. Bulavatskii
    • 1
  • V. V. Skopetskii
    • 1
  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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