Two-temperature simulation of hydrate-bearing rock
Matematičeskoe modelirovanie, Tome 22 (2010) no. 4, pp. 23-31.

Voir la notice de l'article provenant de la source Math-Net.Ru

Two-temperature mathematical model for a description of the temperature field of the heat source in hydrate-bearing rock is proposed. For the phase “water/ice” enthalpy form of the Stephan problem is used. Numerical model is implemented within finite element method.
Keywords: two-temperature model, finite element method, the Stephan problem.
@article{MM_2010_22_4_a1,
     author = {Yu. M. Laevsky and A. A. Kalinkin},
     title = {Two-temperature simulation of hydrate-bearing rock},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {23--31},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_4_a1/}
}
TY  - JOUR
AU  - Yu. M. Laevsky
AU  - A. A. Kalinkin
TI  - Two-temperature simulation of hydrate-bearing rock
JO  - Matematičeskoe modelirovanie
PY  - 2010
SP  - 23
EP  - 31
VL  - 22
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2010_22_4_a1/
LA  - ru
ID  - MM_2010_22_4_a1
ER  - 
%0 Journal Article
%A Yu. M. Laevsky
%A A. A. Kalinkin
%T Two-temperature simulation of hydrate-bearing rock
%J Matematičeskoe modelirovanie
%D 2010
%P 23-31
%V 22
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2010_22_4_a1/
%G ru
%F MM_2010_22_4_a1
Yu. M. Laevsky; A. A. Kalinkin. Two-temperature simulation of hydrate-bearing rock. Matematičeskoe modelirovanie, Tome 22 (2010) no. 4, pp. 23-31. http://geodesic.mathdoc.fr/item/MM_2010_22_4_a1/

[1] Istomin V. A., Yakushev V. S., Gazovye gidraty v prirodnykh usloviyakh, Nedra, M., 1992, 235 pp.

[2] Ginzburg G. D., Solovev V. A., Submarinnye gazovye gidraty, VNIIOkeangeologiya, SPb., 1994, 199 pp.

[3] Duchkov A. D., Manakov A. Yu., Kazantsev S. A., “Eksperimentalnoe modelirovanie i izmerenie teploprovodnosti porod, soderzhaschikh gidraty metana”, Doklady RAN, 408:5 (2006), 656–659

[4] Von Herzen R., Maxwell A. E., “The measurement of thermal conductivity of deep sea sediments by a needle probe method”, Journal of Geophysical Research, 64:10 (1959), 557–1563

[5] Duchkov A. D., Manakov A. Yu., Kazantsev S. A. i dr., “Modelirovanie obraztsov, soderzhaschikh gidraty metana, i izmerenie ikh teplovykh svoistv”, Teplovoe pole zemli i metody ego izucheniya, Sbornik nauchnykh trudov, ed. Yu. A. Popov, RGGRU, M., 2008, 87–92

[6] Babkin V. S., Laevskii Yu. M., “Filtratsionnoe gorenie gazov”, Fizika goreniya i vzryva, 1987, no. 5, 531–547

[7] Laevsky Yu. M., Babkin V. S., “On the theory of the traveling hybrid wave”, Combust. Sci. and Technol., 164 (2001), 29–144

[8] Meirmanov A. M., Zadacha Stefana, Nauka, Sib. otd-ie, Novosibirsk, 1986, 239 pp. | MR

[9] Nigmatulin R. I., Shagapov V. Sh., Syrtlanov V. R., “Avtomodelnaya zadacha dlya razlozheniya gazogidrata v poristoi srede pod deistviem nagreva i depressii”, Prikladnaya mekhanika i tekhnicheskaya fizika, 39:3 (1998), 11–118

[10] Nigmatulin R. I., Shagapov V. Sh. Nasyrova L. A., “ ‘Teplovoi udar’ v poristoi srede, nasyschennoi gazogidratom”, Doklady RAN, 366:3 (1999), 337–340

[11] Shagapov V. Sh., Khasanov M. K., Musakaev N. G., “Obrazovanie gazogidrata v poristom rezervuare, chastichno nasyschennom vodoi, pri inzhektsii kholodnogo gaza”, Prikladnaya mekhanika i tekhnicheskaya fizika, 49:3 (2008), 37–150

[12] Shagapov V. Sh., Chiglintseva A. S., Syrtlanov V. R., “O vozmozhnosti vymyvaniya gaza teploi vodoi iz gazogidratnogo massiva”, Teplofizika vysokikh temperatur, 46:6 (2008), 911–918 | MR

[13] Oben Zh. P., Priblizhennoe reshenie ellipticheskikh kraevykh zadach, Mir, M., 1977, 383 pp. | MR

[14] Aerov M. E., Todes O. M., Narinskii D. A., Apparaty so statsionarnym zernistym sloem, Khimiya, leningradskoe otd., L., 1979, 176 pp.