Characterizing seismic scattering in 3D heterogeneous Earth by a single parameter

This is a Preprint and has not been peer reviewed. This is version 3 of this Preprint.

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Authors

Jagdish Chandra Vyas, Martin Galis , Paul Martin Mai

Abstract

We derive a theoretical parameter for three seismic scattering regimes where seismic wavelengths are either much shorter, similar, or much longer than the correlation length of small-scale Earth heterogeneities. We focus our analysis on the power spectral density of the von Karman autocorrelation function, used to characterize the spatial heterogeneity of small-scale variations of elastic rock parameters that cause elastic seismic wave scattering. Our theoretical findings are verified by numerical simulations. We discover 1) that seismic scattering is proportional to the standard deviation of velocity variations in all three regimes, 2) that scattering is inversely proportional to the correlation length for the regime where seismic wavelengths are shorter than correlation length, but directly proportional to the correlation length in the other two regimes, and 3) that scattering effects are weak due to heterogeneities characterized by a gentle decay of the von Karman autocorrelation function for regimes where seismic wavelengths are similar or much longer than the correlation length.

DOI

https://doi.org/10.31223/X5KG6S

Subjects

Earth Sciences, Geophysics and Seismology, Physical Sciences and Mathematics

Keywords

Seismic scattering, Correlation length, Power Spectral Density, Peak Ground Acceleration

Dates

Published: 2020-10-24 13:07

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License

GNU Lesser General Public License (LGPL) 2.1

Additional Metadata

Data Availability (Reason not available):
Via personal communication as simulated are big in size.

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