Geodesic
On wells modeling in filtration problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1868-1884

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The work is devoted to one of the approaches of wells modeling within numerical oil reservoir simulation. The approach can be consider as fictitious domain method at mixed finite element approximation, which is used for non-stationary filtration processes of two phase fluid in Bukley–Leverett problem. The numerical results are compared with the results for the problem with usual Neumann conditions at the wells boundaries.
Keywords: injection well, production well, filtration problem, single phase liquid, two phase liquid, flow velocity, pressure, mixed finite element method.
Mots-clés : saturation 
@article{SEMR_2019_16_a120,
     author = {M. I. Ivanov and I. A. Kremer and Yu. M. Laevsky},
     title = {On wells modeling in filtration problems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1868--1884},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a120/}
}
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M. I. Ivanov; I. A. Kremer; Yu. M. Laevsky. On wells modeling in filtration problems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1868-1884. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a120/