Non-linear Equations of Mechanics of Swelling and Metamorphic Processes
- Authors: Khramchenkov M.G.1,2, Khramchenkov E.M.2, Usmanov R.M.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis
- Issue: Vol 40, No 12 (2019)
- Pages: 2077-2083
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/206465
- DOI: https://doi.org/10.1134/S1995080219120072
- ID: 206465
Cite item
Abstract
Processes of mass transfer (primarily swelling and hydration/dehydration metamorphic processes) between underground fluid and solid phase in porous media in various kinds of rocks (primarily, sedimentary rocks) is examined. Penetration of water in swelling porous media and coupled process of consolidation and physical-chemical interaction between fluid and solid phase are analyzed. It is shown that government equation in this case is non-linear equation of “diffusion—reaction” type. The equation describes the influence of mass exchange processes (for example swelling and metamorphic dehydration) on distribution of pressure in pores, stresses and deformations in rocks.
About the authors
M. G. Khramchenkov
Kazan (Volga Region) Federal University; Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis
Author for correspondence.
Email: mkhramch@gmail.com
Russian Federation, Kazan, 420008; Kazan, 420111
E. M. Khramchenkov
Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis
Author for correspondence.
Email: ekhramch@gmail.com
Russian Federation, Kazan, 420111
R. M. Usmanov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: almightyhero@mail.ru
Russian Federation, Kazan, 420008