TY - JOUR

T1 - Separating body and Rayleigh waves with cross terms of the cross-correlation tensor of ambient noise

AU - Takagi, Ryota

AU - Nakahara, Hisashi

AU - Kono, Toshio

AU - Okada, Tomomi

PY - 2014/3

Y1 - 2014/3

N2 - We develop a novel method to separate body and Rayleigh waves with the vertical-radial (ZR) and radial-vertical (RZ) components of the cross-correlation tensor of ambient noise. Furthermore, analyzing ambient noise records observed at a seismic array, we validate the method. For the separation, we utilize the difference in polarizations between the rectilinear P and the elliptic Rayleigh waves. Assuming the two-dimensional surface and three-dimensional body waves are the superposition of random uncorrelated plane waves, we derive two fundamental characteristics of the ZR and RZ correlations. One is that between the ZR and RZ correlations, Rayleigh wave contributions have the opposite signs, and P waves have the same signs. The other is that for both ZR and RZ correlations, Rayleigh wave contributions are time symmetric, and P waves are time antisymmetric. Accordingly, we can separate P and Rayleigh waves by just taking the sum and difference between ZR and RZ correlations and by just taking the time-symmetric and time-antisymmetric components. This method can be performed (1) without any knowledge of velocity structure, (2) using only two stations with three-component sensors on a ground surface, (3) even in the case of anisotropic wave incidence, and (4) with the quite simple procedure. We consider that the developed method can make better use of three-component observations of ambient noise for evaluating the cross-correlation tensor accurately, for improving deep velocity structure using both of extracted body and surface waves, and, more fundamentally, for understanding the composition of ambient noise.

AB - We develop a novel method to separate body and Rayleigh waves with the vertical-radial (ZR) and radial-vertical (RZ) components of the cross-correlation tensor of ambient noise. Furthermore, analyzing ambient noise records observed at a seismic array, we validate the method. For the separation, we utilize the difference in polarizations between the rectilinear P and the elliptic Rayleigh waves. Assuming the two-dimensional surface and three-dimensional body waves are the superposition of random uncorrelated plane waves, we derive two fundamental characteristics of the ZR and RZ correlations. One is that between the ZR and RZ correlations, Rayleigh wave contributions have the opposite signs, and P waves have the same signs. The other is that for both ZR and RZ correlations, Rayleigh wave contributions are time symmetric, and P waves are time antisymmetric. Accordingly, we can separate P and Rayleigh waves by just taking the sum and difference between ZR and RZ correlations and by just taking the time-symmetric and time-antisymmetric components. This method can be performed (1) without any knowledge of velocity structure, (2) using only two stations with three-component sensors on a ground surface, (3) even in the case of anisotropic wave incidence, and (4) with the quite simple procedure. We consider that the developed method can make better use of three-component observations of ambient noise for evaluating the cross-correlation tensor accurately, for improving deep velocity structure using both of extracted body and surface waves, and, more fundamentally, for understanding the composition of ambient noise.

KW - ambient noise

KW - body and surface waves

KW - cross-correlation tensor

KW - polarization

KW - seismic interferometry

KW - wavefield separation

UR - http://www.scopus.com/inward/record.url?scp=84906812217&partnerID=8YFLogxK

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U2 - 10.1002/2013JB010824

DO - 10.1002/2013JB010824

M3 - Article

AN - SCOPUS:84906812217

VL - 119

SP - 2005

EP - 2018

JO - Journal of Geophysical Research: Solid Earth

JF - Journal of Geophysical Research: Solid Earth

SN - 2169-9313

IS - 3

ER -