Filtration in cohesive soils: mathematical model
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.
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.
[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
2023-05-26
Issue
pp. 1-13
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Schaefer, R., & Sędziwy, S. (2023). Filtration in cohesive soils: mathematical model. Computer Assisted Methods in Engineering and Science, 6(1), 1-13. https://cames3.ippt.pan.pl/index.php/cames/article/view/1322
