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On one thermodynamically consistent model of clay shale swelling. / Imomnazarov, Bunyod Kh; Khaydarov, Ilkhom Q.; Imomnazarov, Kholmatzhon Kh.

In: Mathematical Notes of NEFU, Vol. 27, No. 2, 01.02.2020, p. 93-104.

Research output: Contribution to journal › Article › peer-review

Harvard

Imomnazarov, BK, Khaydarov, IQ & Imomnazarov, KK 2020, 'On one thermodynamically consistent model of clay shale swelling', Mathematical Notes of NEFU, vol. 27, no. 2, pp. 93-104. https://doi.org/10.25587/SVFU.2020.43.24.006

APA

Imomnazarov, B. K., Khaydarov, I. Q., & Imomnazarov, K. K. (2020). On one thermodynamically consistent model of clay shale swelling. Mathematical Notes of NEFU, 27(2), 93-104. https://doi.org/10.25587/SVFU.2020.43.24.006

Vancouver

Imomnazarov BK, Khaydarov IQ, Imomnazarov KK. On one thermodynamically consistent model of clay shale swelling. Mathematical Notes of NEFU. 2020 Feb 1;27(2):93-104. doi: 10.25587/SVFU.2020.43.24.006

Author

Imomnazarov, Bunyod Kh ; Khaydarov, Ilkhom Q. ; Imomnazarov, Kholmatzhon Kh. / On one thermodynamically consistent model of clay shale swelling. In: Mathematical Notes of NEFU. 2020 ; Vol. 27, No. 2. pp. 93-104.

BibTeX

@article{c7dd0c0aa60943b587c275f2dca6f864,
title = "On one thermodynamically consistent model of clay shale swelling",
abstract = "A modified version of the linear poroelasticity theory described by three elastic parameters is applied to the mathematical modeling of shale swelling with an aque-ous 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 = "Chemical potential, Darcy law, Elastic parameters, Partial density, Porous medium, Saturated fluid, Stress tensor",
author = "Imomnazarov, {Bunyod Kh} and Khaydarov, {Ilkhom Q.} and Imomnazarov, {Kholmatzhon Kh}",
year = "2020",
month = feb,
day = "1",
doi = "10.25587/SVFU.2020.43.24.006",
language = "English",
volume = "27",
pages = "93--104",
journal = "Математические заметки СВФУ",
issn = "2411-9326",
publisher = "M. K. Ammosov North-Eastern Federal University",
number = "2",

}

RIS

TY - JOUR

T1 - On one thermodynamically consistent model of clay shale swelling

AU - Imomnazarov, Bunyod Kh

AU - Khaydarov, Ilkhom Q.

AU - Imomnazarov, Kholmatzhon Kh

PY - 2020/2/1

Y1 - 2020/2/1

N2 - A modified version of the linear poroelasticity theory described by three elastic parameters is applied to the mathematical modeling of shale swelling with an aque-ous 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.

AB - A modified version of the linear poroelasticity theory described by three elastic parameters is applied to the mathematical modeling of shale swelling with an aque-ous 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.

KW - Chemical potential

KW - Darcy law

KW - Elastic parameters

KW - Partial density

KW - Porous medium

KW - Saturated fluid

KW - Stress tensor

UR - http://www.scopus.com/inward/record.url?scp=85090736595&partnerID=8YFLogxK

U2 - 10.25587/SVFU.2020.43.24.006

DO - 10.25587/SVFU.2020.43.24.006

M3 - Article

AN - SCOPUS:85090736595

VL - 27

SP - 93

EP - 104

JO - Математические заметки СВФУ

JF - Математические заметки СВФУ

SN - 2411-9326

IS - 2

ER -

ID: 25310171