Measuring scattered P wave contributions to the transverse component seismograms and their frequency dependency for the characterisation of small-scale medium heterogeneities

概要

Small-scale heterogeneities in the Earth can be represented by changes or fluctuations
in seismic wave velocity fields. Often these are studied stochastically where velocity
field fluctuations are represented by particular realisations of an ensemble of heterogeneous media. These media have the same statistical properties of random probability
distribution describing their fluctuation. Averaging over the ensemble of such random
media allows us to infer their physical quantities. Therefore, stochastic methods aim to
characterise the randomness attribute of small-scale heterogeneity distribution.
In this chapter, we review the study of small-scale heterogeneities in the Earth. We
start by defining the mathematical description of random media to stochastically represent the small-scale heterogeneity. Then, we shall give a rundown of previous approaches
studying small-scale heterogeneities and the range of estimated parameters. In this study,
we opt for a method based on the transverse component P waves. So we shall also review
the development of this approach including its advantages and potential. We will end
the chapter by laying out the objectives of this research. ...

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