Green’s functions extraction and surface-wave tomography from microseisms in southern California

We use crosscorrelations of seismic noise data from 151 stations in southern California to extract the group velocities of surface waves between the station pairs for the purpose of determining the surface-wave velocity structure. We developed an automated procedure for estimating the Green’s functions and subsequent tomographic inversion from the 11,325 station pairs based on the characteristics of the noise field. We eliminate specific events by a procedure that does not introduce any spurious spectral distortion in the band of interest, 0.05–0.2 Hz. Further, we only used the emerging arrival structure above a threshold signal-to-noise ratio. The result is that mostly station pairs with their axes oriented toward the sea are used, consistent with the noise having a microseism origin. Finally, it is the time derivative of the correlation function that is actually related to the Green’s function. The emergence of the time-domain Green’s function is proportional to the square root of the recording time and inversely proportional to the square root of the distance between stations. The tomographic inversion yields a surface-wave velocity map that compares favorably with more conventional and elaborate experimental procedures.

[1]  W. Kuperman,et al.  Ambient noise cross correlation in free space: theoretical approach. , 2005, The Journal of the Acoustical Society of America.

[2]  M. Fink,et al.  Imaging from one-bit correlations of wideband diffuse wave fields , 2004 .

[3]  R. Snieder Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  W. Menke Geophysical data analysis : discrete inverse theory , 1984 .

[5]  W. Kuperman,et al.  Extracting coherent wave fronts from acoustic ambient noise in the ocean , 2004 .

[6]  K. Wapenaar Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation. , 2004, Physical review letters.

[7]  P. Strick,et al.  The cerebellum: the cerebellum and neural control. , 1985, Science.

[8]  Peter Gerstoft,et al.  P‐waves from cross‐correlation of seismic noise , 2005 .

[9]  Monica D. Kohler,et al.  Mantle Heterogeneities and the SCEC Reference Three-Dimensional Seismic Velocity Model Version 3 , 2003 .

[10]  J. Claerbout,et al.  Acoustic daylight imaging via spectral factorization: helioseismology and reservoir monitoring , 1999 .

[11]  J. Scales,et al.  Extracting the Green function from diffuse, equipartitioned waves. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Peter Gerstoft,et al.  Extracting time‐domain Green's function estimates from ambient seismic noise , 2005 .

[13]  R. Weaver,et al.  Ultrasonics without a source: thermal fluctuation correlations at MHz frequencies. , 2001, Physical review letters.

[14]  Jon F. Claerbout,et al.  Acoustic Daylight Imaging Via Spectral Factorization: Helioseismology And Reservoir Monitoring , 1999 .

[15]  Michel Campillo,et al.  Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise , 2004 .

[16]  B. V. van Tiggelen,et al.  Observation of equipartition of seismic waves. , 2001, Physical review letters.

[17]  Philippe Roux,et al.  Arrival-time structure of the time-averaged ambient noise cross-correlation function in an oceanic waveguide. , 2005, The Journal of the Acoustical Society of America.

[18]  Peter D. Bromirski,et al.  The near‐coastal microseism spectrum: Spatial and temporal wave climate relationships , 2002 .

[19]  Richard L. Weaver,et al.  Diffuse fields in open systems and the emergence of the Green’s function (L) , 2004 .

[20]  Peter Gerstoft,et al.  Surface wave tomography from microseisms in Southern California , 2005 .

[21]  W. Menke Geophysical data analysis , 1984 .

[22]  Michel Campillo,et al.  High-Resolution Surface-Wave Tomography from Ambient Seismic Noise , 2005, Science.

[23]  R. Weaver,et al.  Elastic wave thermal fluctuations, ultrasonic waveforms by correlation of thermal phonons. , 2003, The Journal of the Acoustical Society of America.

[24]  Clive D Rodgers,et al.  Inverse Methods for Atmospheric Sounding: Theory and Practice , 2000 .

[25]  A. Paul,et al.  Long-Range Correlations in the Diffuse Seismic Coda , 2003, Science.