Analytical Solution for Darcy Flow in a Bounded Fracture-Matrix Domain
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24220%2F24%3A00012779" target="_blank" >RIV/46747885:24220/24:00012779 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21220/24:00382373
Result on the web
<a href="https://link.springer.com/article/10.1007/s11242-024-02130-8" target="_blank" >https://link.springer.com/article/10.1007/s11242-024-02130-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11242-024-02130-8" target="_blank" >10.1007/s11242-024-02130-8</a>
Alternative languages
Result language
angličtina
Original language name
Analytical Solution for Darcy Flow in a Bounded Fracture-Matrix Domain
Original language description
We derive an analytical solution to a Darcy flow problem in a discrete 1D fracture coupled to a 2D continuum matrix. Separate unknowns for the fracture and matrix domain are considered, coupled by a Robin-type condition. The solution, in the form of a Fourier series, applies to a wide range of problem parameters, covering both conductive and barrier fracture cases. The evaluation procedure and convergence properties are discussed. To validate the solution, we compare it against a numerical solution using second-order finite differences in a parametric study. Our results demonstrate the accuracy and effectiveness of the analytical solution, making it a valuable tool for testing numerical schemes for discrete fracture-matrix models.
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
20401 - Chemical engineering (plants, products)
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2024
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
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Volume of the periodical
151
Issue of the periodical within the volume
15
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
2777-2794
UT code for WoS article
001336243900001
EID of the result in the Scopus database
2-s2.0-85207023432