Analytical solution of a pressure transmission experiment

J. M. Huyghe

Analytical solution of a pressure transmission experiment

J. M. Huyghe

Eindhoven University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a mono-valent ionic solution. From the governing equations a coupled diffusion equation in state space notation is derived for the electro-chemical potentials, which is decoupled introducing a set of normal parameters, being a linear combination of the eigenvectors of the diffusivity matrix. The magnitude of the eigenvalues of the diffusivity matrix correspond to the time scales for Darcy flow, diffusion of ionic constituents and diffusion of electrical potential.

Original language	English
Title of host publication	Poromechanics III
Subtitle of host publication	Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics
Pages	57-62
Number of pages	6
Publication status	Published - 2005
Externally published	Yes
Event	3rd Biot Conference on Poromechanics - var.pagings, United States Duration: 24 May 2005 → 27 May 2005

Publication series

Name	Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics

Conference

Conference	3rd Biot Conference on Poromechanics
Country/Territory	United States
City	var.pagings
Period	24/05/05 → 27/05/05

Cite this

@inproceedings{708b55d1117c46aca9110b771dea6fbc,

title = "Analytical solution of a pressure transmission experiment",

abstract = "Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a mono-valent ionic solution. From the governing equations a coupled diffusion equation in state space notation is derived for the electro-chemical potentials, which is decoupled introducing a set of normal parameters, being a linear combination of the eigenvectors of the diffusivity matrix. The magnitude of the eigenvalues of the diffusivity matrix correspond to the time scales for Darcy flow, diffusion of ionic constituents and diffusion of electrical potential.",

author = "Huyghe, \{J. M.\}",

year = "2005",

language = "English",

isbn = "0415380413",

series = "Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics",

pages = "57--62",

booktitle = "Poromechanics III",

note = "3rd Biot Conference on Poromechanics ; Conference date: 24-05-2005 Through 27-05-2005",

}

Huyghe, JM 2005, Analytical solution of a pressure transmission experiment. in Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics. Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics, pp. 57-62, 3rd Biot Conference on Poromechanics, var.pagings, United States, 24/05/05.

Analytical solution of a pressure transmission experiment. / Huyghe, J. M.
Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics. 2005. p. 57-62 (Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Analytical solution of a pressure transmission experiment

AU - Huyghe, J. M.

PY - 2005

Y1 - 2005

N2 - Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a mono-valent ionic solution. From the governing equations a coupled diffusion equation in state space notation is derived for the electro-chemical potentials, which is decoupled introducing a set of normal parameters, being a linear combination of the eigenvectors of the diffusivity matrix. The magnitude of the eigenvalues of the diffusivity matrix correspond to the time scales for Darcy flow, diffusion of ionic constituents and diffusion of electrical potential.

AB - Analytical solutions are derived for a pressure transmission experiment of a saturated charged compressible porous medium. The governing equations describe infinitesimal deformations of charged porous media saturated with a mono-valent ionic solution. From the governing equations a coupled diffusion equation in state space notation is derived for the electro-chemical potentials, which is decoupled introducing a set of normal parameters, being a linear combination of the eigenvectors of the diffusivity matrix. The magnitude of the eigenvalues of the diffusivity matrix correspond to the time scales for Darcy flow, diffusion of ionic constituents and diffusion of electrical potential.

UR - https://www.scopus.com/pages/publications/84857222841

M3 - Conference contribution

AN - SCOPUS:84857222841

SN - 0415380413

SN - 9780415380416

T3 - Poromechanics III: Biot Centennial (1905-2005) - Proceedings of the 3rd Biot Conference on Poromechanics

SP - 57

EP - 62

BT - Poromechanics III

T2 - 3rd Biot Conference on Poromechanics

Y2 - 24 May 2005 through 27 May 2005

ER -

Analytical solution of a pressure transmission experiment

Abstract

Publication series

Conference

Other files and links

Fingerprint

Cite this