Mathematical Model of Freezing in a Porous Medium at Micro-Scale

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00319345" target="_blank" >RIV/68407700:21340/18:00319345 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.4208/cicp.OA-2017-0082" target="_blank" >https://doi.org/10.4208/cicp.OA-2017-0082</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4208/cicp.OA-2017-0082" target="_blank" >10.4208/cicp.OA-2017-0082</a>

Result language

angličtina

Original language name

Mathematical Model of Freezing in a Porous Medium at Micro-Scale

Original language description

We present a micro-scale model describing the dynamics of pore water phase transition and associated mechanical effects within water-saturated soil subjected to freezing conditions. Since mechanical manifestations in areas subjected to either sea- sonal soil freezing and thawing or climate change induced thawing of permanently frozen land may have severe impacts on infrastructures present, further research on this topic is timely and warranted. We believe that analysis of ice formation, which incorporates the multiphysics of the phase and structure changes at the micro-scale, is needed. For better understanding the process of soil freezing and thawing at the field-scale, consequent upscaling may help improve our understanding of the phenomenon at the macro-scale. In an effort to investigate the effect of the pore water density change during the prop- agation of the phase transition front within cooled soil material, we have designed a 2D continuum micro-scale model which describes the solid phase in terms of a heat and momentum balance and the fluid phase in terms of a modified heat equation that accounts for the phase transition of the pore water and a momentum conservation equation for Newtonian fluid. This model provides the information on force acting on a single soil grain induced by the gradual phase transition of the surrounding medium within a nontrivial (i.e. curved) pore geometry. Solutions obtained by this model show expected thermal evolution but indicate a non-trivial structural behavior.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Communications in Computational Physics

ISSN

1815-2406

e-ISSN

1991-7120

Volume of the periodical

24

Issue of the periodical within the volume

2

Country of publishing house

CN - CHINA

Number of pages

19

Pages from-to

557-575

UT code for WoS article

000455954900011

EID of the result in the Scopus database

2-s2.0-85058968376