We consider a method for determining the velocity profiles of the longitudinal and shear waves on the basis of analysis of seismic noise. It is a result of improving the widely used method of passive tomography. The proposed method is based on the relation between the mutual spectrum of signals from the spaced receivers, which record two projections of the displacement vector, and the incomplete Green’s function, which corresponds to the response of the surface Rayleigh wave. Using this method, it is possible to determine the frequency dependence of both the phase velocity and ellipticity of the Rayleigh wave. In turn, the latter allows one to reconstruct the profiles of the longitudinal- and shear-wave velocities. In this work, we explain the fundamentals of the method within the framework of a simple model and propose its experimental evaluation. A comparison with the results of an independent measurement using a vibrator is given.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 64, No. 6, pp. 458–469, June 2021. Russian DOI: 10.52452/00213462_2021_64_06_458
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Manakov, S.A., Kon’kov, A.I. Determination of the Velocity Profiles of Longitudinal and Shear Waves on the Basis of Analysis of Seismic Noise. Radiophys Quantum El 64, 412–421 (2021). https://doi.org/10.1007/s11141-022-10143-w
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DOI: https://doi.org/10.1007/s11141-022-10143-w