年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
IF:
1.4
5-Year IF:
1.3
Immediacy Index:
2.2
Eigenfactor:
0.00034
JCI:
0.46
SJR:
0.333
SNIP:
0.606
CiteScore™::
3.1
H-Index:
31
Indexed in
Scaling Up of an Underground Waste Disposal Model with Random Source Terms
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要約
In this paper, we study the global behavior of an underground waste disposal in order to obtain an accurate upscaled model suitable for the computations involved in safety assessment processes. The disposal is made of a high number of modules containing the waste material. One supposes that the modules or disposal units are periodicaly distributed and that each disposal unit leaks randomly. Recent theoretical works, by use of a combination of classical homogenization and probability theories, allow to derive a global model where only one deterministic leaking source is considered. We propose, using these theoretical results, to give a numerical approach for a such multiscale problem to obtain solutions of the deterministic problem and the first-order statistical moments.
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Bourgeat Alain, Piatnitski Andrey L., Averaging of a Singular Random Source Term in a Diffusion Convection Equation, SIAM Journal on Mathematical Analysis, 42, 6, 2010. Crossref
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Amaziane Brahim, Jurak Mladen, Vrbaški Anja, Homogenization results for a coupled system modelling immiscible compressible two-phase flow in porous media by the concept of global pressure, Applicable Analysis, 92, 7, 2013. Crossref
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Amaziane Brahim, Pankratov Leonid, Homogenization of a model for water-gas flow through double-porosity media, Mathematical Methods in the Applied Sciences, 39, 3, 2016. Crossref
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Amaziane B., Pankratov L., Homogenization of compressible two-phase two-component flow in porous media, Nonlinear Analysis: Real World Applications, 30, 2016. Crossref
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Amaziane Brahim, Pankratov Leonid, Piatnitski Andrey, An improved homogenization result for immiscible compressible two-phase flow in porous media, Networks & Heterogeneous Media, 12, 1, 2017. Crossref
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Amaziane B., Pankratov L., Piatnitski A., Homogenization of immiscible compressible two–phase flow in random porous media, Journal of Differential Equations, 305, 2021. Crossref
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Ahusborde E., Amaziane B., Jurak M., Three-dimensional numerical simulation by upscaling of gas migration through engineered and geological barriers for a deep repository for radioactive waste, Geological Society, London, Special Publications, 415, 1, 2015. Crossref