The difference between semi-continuum model and Richards' equation for unsaturated porous media flow

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F22%3A73613890" target="_blank" >RIV/61989592:15310/22:73613890 - isvavai.cz</a>
Result on the web
<a href="https://www.nature.com/articles/s41598-022-11437-9" target="_blank" >https://www.nature.com/articles/s41598-022-11437-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1038/s41598-022-11437-9" target="_blank" >10.1038/s41598-022-11437-9</a>

Result language
angličtina
Original language name
The difference between semi-continuum model and Richards' equation for unsaturated porous media flow
Original language description
Semi-continuum modelling of unsaturated porous media flow is based on representing the porous medium as a grid of non-infinitesimal blocks that retain the character of a porous medium. This approach is similar to the hybrid/multiscale modelling. Semi-continuum model is able to physically correctly describe diffusion-like flow, finger-like flow, and the transition between them. This article presents the limit of the semi-continuum model as the block size goes to zero. In the limiting process, the retention curve of each block scales with the block size and in the limit becomes a hysteresis operator of the Prandtl-type used in elasto-plasticity models. Mathematical analysis showed that the limit of the semi-continuum model is a hyperbolic-parabolic partial differential equation with a hysteresis operator of Prandl's type. This limit differs from the standard Richards' equation, which is a parabolic equation and is not able to describe finger-like flow.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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