The Elder problem with reactive infiltration effects
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985530%3A_____%2F23%3A00580180" target="_blank" >RIV/67985530:_____/23:00580180 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s11242-023-02026-z" target="_blank" >https://link.springer.com/article/10.1007/s11242-023-02026-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11242-023-02026-z" target="_blank" >10.1007/s11242-023-02026-z</a>
Alternative languages
Result language
angličtina
Original language name
The Elder problem with reactive infiltration effects
Original language description
The occurrence of buoyancy-driven flow and reactive solute transport in a fluid-saturated porous medium can be induced by either natural processes or human activities. Typical examples include the groundwater salinization in carbonate-rock aquifers and the acid treatment of oil wells in petroleum drilling industry. In this paper, the classical Elder problem of buoyancy-driven convection in two-dimensional porous media is extended to include the local chemical interactions between the solute in the pore liquid (e.g. salt such as NaCl or acids such as HCl and HCl/HF mixtures) and the solid space of the porous medium (e.g. minerals such as calcite and dolomite). Effects of the geochemical processes on the flow and mass transport are investigated. For the reactive, strongly solute-driven case in the regime dominated by the diffusive mass transport, a decrease in the net solute concentration is found as compared to the non-reactive case. This decrease is pronounced at higher values of the Damkohler number when the solute reaction rate becomes larger than the solute diffusion rate. Furthermore, the flow structure is affected by products generated by the chemical reaction when the Rayleigh number for the products is sufficiently high. In that case, numerical simulations show the formation of diluted fluid tongues exhibiting damped periodic oscillations about a nonzero mean. The results are obtained using the pseudospectral numerical method, verified against the analytical solution for the non-reactive, purely diffusive case.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Transport in Porous Media
ISSN
0169-3913
e-ISSN
1573-1634
Volume of the periodical
150
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
26
Pages from-to
627-652
UT code for WoS article
001099879800001
EID of the result in the Scopus database
2-s2.0-85176549455