A study of the seismic noise from its long-range correlation properties

[1] We study the origin of the background seismic noise averaged over long time by cross correlating of the vertical component of motion, which were first normalized by 1-bit coding. We use 1 year of recording at several stations of networks located in North America, western Europe, and Tanzania. We measure normalized amplitudes of Rayleigh waves reconstructed from correlation for all available station to station paths within the networks for positive and negative correlation times to determine the seasonally averaged azimuthal distribution of normalized background energy flow (NBEF) through the networks. We perform the analysis for the two spectral bands corresponding to the primary (10–20 s) and secondary (5–10 s) microseism and also for the 20–40 s band. The direction of the NBEF for the strongest spectral peak between 5 and 10 s is found to be very stable in time with signal mostly coming from the coastline, confirming that the secondary microseism is generated by the nonlinear interaction of the ocean swell with the coast. At the same time, the NBEF in the band of the primary microseism (10–20 s) has a very clear seasonal variability very similar to the behavior of the long-period (20–40 s) noise. This suggests that contrary to the secondary microseism, the primary microseism is not produced by a direct effect of the swell incident on coastlines but rather by the same process that generates the longer-period noise. By simultaneously analyzing networks in California, eastern United States, Europe, and Tanzania we are able to identify main source regions of the 10–20 s noise. They are located in the northern Atlantic and in the northern Pacific during the winter and in the Indian Ocean and in southern Pacific during the summer. These distributions of sources share a great similarity with the map of average ocean wave height map obtained by TOPEX-Poseidon. This suggests that the seismic noise for periods larger than 10 s is clearly related to ocean wave activity in deep water. The mechanism of its generation is likely to be similar to the one proposed for larger periods, namely, infragravity ocean waves.

[1]  Naoki Kobayashi,et al.  Continuous excitation of planetary free oscillations by atmospheric disturbances , 1998, Nature.

[2]  A. Derode,et al.  Empirical synthesis of time-asymmetrical Green functions from the correlation of coda waves , 2005 .

[3]  Toshiro Tanimoto,et al.  Cause of continuous oscillations of the Earth , 1999 .

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

[5]  Richard L. Weaver,et al.  On the emergence of the Green's function in the correlations of a diffuse field: pulse-echo using thermal phonons. , 2001, Ultrasonics.

[6]  F. Kruger,et al.  Influence of the seismic noise characteristics on noise correlations , 2005 .

[7]  Shuichi Kodaira,et al.  A cause of rupture segmentation and synchronization in the Nankai trough revealed by seismic imaging and numerical simulation , 2006 .

[8]  Fukao,et al.  Resonant oscillations between the solid earth and the atmosphere , 2000, Science.

[9]  W. Crawford,et al.  Infragravity waves in the deep ocean , 1991 .

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

[11]  Kazunari Nawa,et al.  Incessant excitation of the Earth’s free oscillations , 1998 .

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

[13]  Frank Krüger,et al.  Ocean-generated microseismic noise located with the Gräfenberg array , 1998 .

[14]  Fukao,et al.  Earth's background free oscillations , 1998, Science.

[15]  J. Harvey,et al.  Time–distance helioseismology , 1993, Nature.

[16]  Francisco J. Sánchez-Sesma,et al.  Retrieval of the Green’s Function from Cross Correlation: The Canonical Elastic Problem , 2006 .

[17]  B. V. van Tiggelen,et al.  Green function retrieval and time reversal in a disordered world. , 2003, Physical review letters.

[18]  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.

[19]  M. Longuet-Higgins,et al.  Radiation stresses in water waves; a physical discussion, with applications , 1964 .

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

[21]  Naoki Kobayashi,et al.  Earth's continuous oscillations observed on seismically quiet days , 1998 .

[22]  M. Longuet-Higgins A theory of the origin of microseisms , 1950, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[23]  G. Ekström Time domain analysis of Earth's long‐period background seismic radiation , 2001 .

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

[25]  D. Neuhauser,et al.  Observations of infragravity waves at the Monterey ocean bottom broadband station (MOBB) , 2005 .

[26]  Barbara Romanowicz,et al.  Excitation of Earth's continuous free oscillations by atmosphere–ocean–seafloor coupling , 2004, Nature.

[27]  B. Gutenberg Observations and Theory of Microseisms , 1951 .

[28]  Geneviève Roult,et al.  Analysis of ‘background’ free oscillations and how to improve resolution by subtracting the atmospheric pressure signal , 2000 .

[29]  Toshiro Tanimoto,et al.  The oceanic excitation hypothesis for the continuous oscillations of the Earth , 2004 .

[30]  R. S. Bogart,et al.  A subsurface flow of material from the Sun's equator to its poles , 1997, Nature.

[31]  Keiiti Aki,et al.  Space and Time Spectra of Stationary Stochastic Waves, with Special Reference to Microtremors , 1957 .

[32]  Michel Campillo,et al.  Phase and Correlation in `Random' Seismic Fields and the Reconstruction of the Green Function , 2004 .

[33]  Frank L. Vernon,et al.  Strong directivity of ocean‐generated seismic noise , 2004 .

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

[35]  M. Fink,et al.  Ultrasonic pulse compression with one-bit time reversal through multiple scattering , 1999 .