Geodesic
On the ray method for the Biot medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 112-131 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

This work is devoted to investigation of wave propagation in the Biot porous medium, which consists of elastic and fluid phases. The space-time ray decay of the solutions of dynamical equations for the Biot medium is constructed (in anisotropic inhomogeneous case). In inhomogeneous isotropic case the Rytov law analogue is deduced like in elastic theory. Bibl. – 3 titles. 
@article{ZNSL_2008_354_a4,
     author = {G. L. Zavorokhin},
     title = {On the ray method for the {Biot} medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {112--131},
     year = {2008},
     volume = {354},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a4/}
}
TY  - JOUR
AU  - G. L. Zavorokhin
TI  - On the ray method for the Biot medium
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2008
SP  - 112
EP  - 131
VL  - 354
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a4/
LA  - ru
ID  - ZNSL_2008_354_a4
ER  - 
%0 Journal Article
%A G. L. Zavorokhin
%T On the ray method for the Biot medium
%J Zapiski Nauchnykh Seminarov POMI
%D 2008
%P 112-131
%V 354
%U http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a4/
%G ru
%F ZNSL_2008_354_a4
G. L. Zavorokhin. On the ray method for the Biot medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 112-131. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a4/

[1] L. A. Molotkov, Issledovanie rasprostraneniya voln v poristykh i treschinovatykh sredakh na osnove effektivnykh modelei Bio i sloistykh sred, Nauka, SPb., 2001

[2] V. M. Babich, V. S. Buldyrev, I. A. Molotkov, Prostranstvenno-vremennoi luchevoi metod. Lineinye i nelineinye volny, LGU, L., 1985 | MR

[3] A. S. Alekseev, V. M. Babich, B. Ya. Gelchinskii, “Luchevoi metod vychisleniya intensivnosti volnovykh frontov”, Voprosy dinamicheskoi teorii rasprostraneniya seismicheskikh voln, 5, ed. G. I. Petrashen, LGU, L., 1961, 3–24