Propagation of seismic wave fields in layered media. (Part~I. Feneral notions of the theory.)
Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 4, Tome 273 (2001), pp. 3-294

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The general theory of the propagation of seismic wave fields of signal type is presented in mathematically precise and physically descriptive form. Basic relations and notions of the theory are given for general cases of the anisotropy of a medium. Consequences of the theory are discussed, comparing phenomena in the anisotropic and isotropic seismic media.
@article{ZNSL_2001_273_a0,
     author = {G. I. Petrashen},
     title = {Propagation of seismic wave fields in layered media. {(Part~I.} {Feneral} notions of the theory.)},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--294},
     publisher = {mathdoc},
     volume = {273},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_273_a0/}
}
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G. I. Petrashen. Propagation of seismic wave fields in layered media. (Part~I. Feneral notions of the theory.). Zapiski Nauchnykh Seminarov POMI, Interference waves in layered media. Part 4, Tome 273 (2001), pp. 3-294. http://geodesic.mathdoc.fr/item/ZNSL_2001_273_a0/