Geodesic
On one thermodynamically consistent model of clay shale swelling
Matematičeskie zametki SVFU, Tome 27 (2020) no. 2, pp. 93-104 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A modified version of the linear poroelasticity theory described by three elastic parameters is applied to the mathematical modeling of shale swelling with an aqueous electrolyte. It is assumed that the shale behaves as an isotropic ideal ionic membrane, and in this case, swelling depends only on the total stress and on the chemical water potential in pores of the rock. A formula is obtained for the Poisson coefficient in terms of three elastic parameters, the physical densities of the saturated fluid of the porous medium, and the porosity coefficient. It is shown that the diffusion coefficient is a function of the coefficient of interfacial friction (permeability) and is inversely proportional to the coefficient of porosity. The formulas for the flat strain analysis around the wellbore were obtained.
Keywords: porous medium, saturated fluid, elastic parameters, stress tensor, partial density, Darcy law, chemical potential. 
@article{SVFU_2020_27_2_a5,
     author = {B. Kh. Imomnazarov and I. Q. Khaydarov and Kh. Kh. Imomnazarov},
     title = {On one thermodynamically consistent model of clay shale swelling},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {93--104},
     year = {2020},
     volume = {27},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2020_27_2_a5/}
}
TY  - JOUR
AU  - B. Kh. Imomnazarov
AU  - I. Q. Khaydarov
AU  - Kh. Kh. Imomnazarov
TI  - On one thermodynamically consistent model of clay shale swelling
JO  - Matematičeskie zametki SVFU
PY  - 2020
SP  - 93
EP  - 104
VL  - 27
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SVFU_2020_27_2_a5/
LA  - ru
ID  - SVFU_2020_27_2_a5
ER  - 
%0 Journal Article
%A B. Kh. Imomnazarov
%A I. Q. Khaydarov
%A Kh. Kh. Imomnazarov
%T On one thermodynamically consistent model of clay shale swelling
%J Matematičeskie zametki SVFU
%D 2020
%P 93-104
%V 27
%N 2
%U http://geodesic.mathdoc.fr/item/SVFU_2020_27_2_a5/
%G ru
%F SVFU_2020_27_2_a5
B. Kh. Imomnazarov; I. Q. Khaydarov; Kh. Kh. Imomnazarov. On one thermodynamically consistent model of clay shale swelling. Matematičeskie zametki SVFU, Tome 27 (2020) no. 2, pp. 93-104. http://geodesic.mathdoc.fr/item/SVFU_2020_27_2_a5/