Dissertation
Modeling Mechanical Behavior in Swelling Porous Media
Washington State University
Doctor of Philosophy (PhD), Washington State University
2023
DOI:
https://doi.org/10.7273/000005364
Abstract
This dissertation uses the framework of hybrid mixture theory to derive generalizations of existing models of nonswelling porous media, to the case of swelling porous media. Terzaghi's effective stress principle is related to thermodynamically defined pressures, which allows for the extension to soils partially comprised of clay, modeled as a four phase swelling medium. The pressures so defined also allow the model to be related to the empirical work of Philip Low on pure clay swelling, and compared with measured pressures in real soil samples. Separately, Biot's 1956 equations for wave propagation in (nonswelling) two phase porous media are re-derived using hybrid mixture theory, in such a way as to allow the straightfoward generalization to the swelling case. The behavior of plane waves in such a medium, particularly their speed, dispersion, and attenuation, are compared with the non-swelling case. A further generalization to a macroscopically nonhomogeneous medium is also outlined. Finally, the constitutive laws of the two phase medium are reproduced via the principle of virtual power, in order to demonstrate the equivalence of that approach to that of entropy exploitation in hybrid mixture theory.
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Details
- Title
- Modeling Mechanical Behavior in Swelling Porous Media
- Creators
- Ryan Whitehead
- Contributors
- Lynn Schreyer (Advisor)Nikolay Strigul (Committee Member)Sinisa Mesarovic (Committee Member)Idil Akin (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mathematics and Statistics, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Publisher
- Washington State University
- Number of pages
- 116
- Identifiers
- 99901031038101842
- Language
- English
- Resource Type
- Dissertation