Application of almost-periodic functions for seismic profiling

We consider a method for solving the inverse problem of finding a two-dimensional vertical seismic velocity profile of longitudinal and transverse waves in a massif from Rayleigh polarization waves recorded on the surface. We present an algorithm of the method based on applying perturbation theory i...

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Bibliographic Details
Published in:Acoustical physics 2014-05, Vol.60 (3), p.297-303
Main Authors: Zagorskii, L. S., Shkuratnik, V. L.
Format: Article
Language:English
Subjects:
Acoustics
Acoustics of Structurally Inhomogeneous Solid Bodies. Geological Acoustics
Algorithms
Functions (mathematics)
Inverse problems
Mathematical analysis
Perturbation theory
Physics
Physics and Astronomy
Polynomials
Profiling
Surface chemistry
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Summary:We consider a method for solving the inverse problem of finding a two-dimensional vertical seismic velocity profile of longitudinal and transverse waves in a massif from Rayleigh polarization waves recorded on the surface. We present an algorithm of the method based on applying perturbation theory in almost-periodic functions, and as well as the polynomials of B.M. Levitan. The possibilities of the method are illustrated by the results of comparison with geological data obtained in regions of the Northern Caucasus using active seismics. We formulate the calculation stability conditions and present an example based on microseism data obtained by the Joint Institute for Physics of the Earth, Russian Academy of Sciences (OIFZ RAN) in an area of North Ossetia.
ISSN:1063-7710
1562-6865
DOI:10.1134/S1063771014030178