<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in isothermal conditions. This mathematical model is compared with the liquid flow equations used in the theory of consolidation. It is shown that the current commonly used filtration model representation significantly differs from the filtration process representation in Biot’s and Terzaghi’s soil consolidation models, which has a bearing on the use of the methods of determining the filtration coefficient on the basis of oedometer test results. The present analysis of the filtration theory equations should help interpret effective parameters of the non-steady filtration model. Moreover, equations for the flow of a gas through a porous medium and an interpretation of the filtration model effective parameters in this case are presented.</p></abstract>

This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in isothermal conditions. This mathematical model is compared with the liquid flow equations used in the theory of consolidation. It is shown that the current commonly used filtration model representation significantly differs from the filtration process representation in Biot’s and Terzaghi’s soil consolidation models, which has a bearing on the use of the methods of determining the filtration coefficient on the basis of oedometer test results. The present analysis of the filtration theory equations should help interpret effective parameters of the non-steady filtration model. Moreover, equations for the flow of a gas through a porous medium and an interpretation of the filtration model effective parameters in this case are presented.

Relation Between Filtration and Soil Consolidation Theories

Wrocław University of Technology, Institute of Geotechnics and Hydrotechnics, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

KGHM CUPRUM, Ltd. Research and Development Centre, ul. Gen. Wł. Sikorskiego 2-8, 53-659 Wrocław, Poland

Studia Geotechnica et Mechanica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Relation Between Filtration and Soil Consolidation Theories"}

This paper presents a different, than commonly used, form of equations describing the filtration of a viscous compressible fluid through a porous medium in...

Relation Between Filtration and Soil Consolidation Theories

Publié en ligne: 27 mars 2015

Pages: 105 - 114

DOI: https://doi.org/10.1515/sgem-2015-0012

Mots clés
filtration, seepage, soil consolidation, underground water

© by Tomasz Strzelecki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Relation Between Filtration and Soil Consolidation Theories

Publié en ligne: 27 mars 2015

Pages: 105 - 114

DOI: https://doi.org/10.1515/sgem-2015-0012

Mots clésfiltration, seepage, soil consolidation, underground water

© by Tomasz Strzelecki

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Mots clés
filtration, seepage, soil consolidation, underground water