Filtration in cohesive soils: mathematical model

  • Robert Schaefer Jagielionian University
  • Stanisław Sędziwy Jagielionian University

Abstract

The paper discusses the physical basis of the process of filtration of water in a case of very low velocities and presents the mathematical model of the process, based on a new constitutive formula, The existence and uniqueness of a weak solution to the resulting nonhomogeneous initial boundary-value problem is then proven.

Keywords

References

[1] L.A. Aylmore, J.P. Quirk. Domain of turbostatic structure of clays. Nature 181: 1046, 1960.
[2] J . Bear. Dynamics of Fluids in Porous Media. Elsevier, New York, 1972.
[3] R.N. Chowdury. Ground water flow obeying non-Darcy laws. Wolloungong Univ. 3: 13- 22, 1974.
[4] W. Van Engelhardt, W.L.M. Tun. The flow of fluids through sandstones. Illinois State Geol. Survey Cire 195, 1955.
[5] H. Gajewski, K. Groger, K. Zacharias. Nichtlineare Opemtorgleichungen und Opemtordifferentialgleichungen [Russian translation) . Akad. VerI. Berlin, 1974.
Published
May 26, 2023
How to Cite
SCHAEFER, Robert; SĘDZIWY, Stanisław. Filtration in cohesive soils: mathematical model. Computer Assisted Methods in Engineering and Science, [S.l.], v. 6, n. 1, p. 1-13, may 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1322>. Date accessed: 13 nov. 2024.
Citation Formats
Issue
Vol 6 No 1 (1999)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.