Non-linear Equations of Mechanics of Swelling and Metamorphic Processes


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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


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