The origin of deep ocean microseisms in the North Atlantic Ocean

Oceanic microseisms are small oscillations of the ground, in the frequency range of 0.05–0.3 Hz, associated with the occurrence of energetic ocean waves of half the corresponding frequency. In 1950, Longuet-Higgins suggested in a landmark theoretical paper that (i) microseisms originate from surface pressure oscillations caused by the interaction between oppositely travelling components with the same frequency in the ocean wave spectrum, (ii) these pressure oscillations generate seismic Stoneley waves on the ocean bottom, and (iii) when the ocean depth is comparable with the acoustic wavelength in water, compressibility must be considered. The efficiency of microseism generation thus depends on both the wave frequency and the depth of water. While the theory provided an estimate of the magnitude of the corresponding microseisms in a compressible ocean, its predictions of microseism amplitude heretofore have never been tested quantitatively. In this paper, we show a strong agreement between observed microseism and calculated amplitudes obtained by applying Longuet-Higgins' theory to hindcast ocean wave spectra from the North Atlantic Ocean. The calculated vertical displacements are compared with seismic data collected at stations in North America, Greenland, Iceland and Europe. This modelling identifies a particularly energetic source area stretching from the Labrador Sea to south of Iceland, where wind patterns are especially conducive to generating oppositely travelling waves of same period, and the ocean depth is favourable for efficient microseism generation through the ‘organ pipe’ resonance of the compression waves, as predicted by the theory. This correspondence between observations and the model predictions demonstrates that deep ocean nonlinear wave–wave interactions are sufficiently energetic to account for much of the observed seismic amplitudes in North America, Greenland and Iceland.

[1]  R. Reynolds,et al.  The NCEP/NCAR 40-Year Reanalysis Project , 1996, Renewable Energy.

[2]  B. Mitchell Surface-wave attenuation and crustal anelasticity in Central North America , 1973, Bulletin of the Seismological Society of America.

[3]  Richard L. Weaver,et al.  Information from Seismic Noise , 2005, Science.

[4]  Toshiro Tanimoto,et al.  Seasonality in particle motion of microseisms , 2006 .

[5]  Walter H. F. Smith,et al.  Global Sea Floor Topography from Satellite Altimetry and Ship Depth Soundings , 1997 .

[6]  Peter Gerstoft,et al.  When Katrina hit California , 2006 .

[7]  A. Sterl,et al.  Intercomparison of Different Wind–Wave Reanalyses , 2004 .

[8]  C. Langston Scattering of long-period Rayleigh waves in Western North America and the interpretation of coda Q measurements , 1989 .

[9]  M. Longuet-Higgins,et al.  An experimental study of the pressure variations in standing water waves , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[10]  S. Webb The equilibrium oceanic microseism spectrum , 1992 .

[11]  D. Fritts,et al.  Acoustic radiation by ocean surface waves , 2000, Journal of Fluid Mechanics.

[12]  V. N. Tabulevich,et al.  On observations of storm microseismic vibrations by seismic stations of the U.S.S.R. , 1990 .

[13]  Steve Elgar,et al.  Reflection of Ocean Surface Gravity Waves from a Natural Beach , 1994 .

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

[15]  Observations and Causes of Ocean and Seafloor Noise at Ultra-Low and Very-Low Frequencies , 1993 .

[16]  W. Munk,et al.  Comparative spectra of microseisms and swell , 1963 .

[17]  Isaac Ginis,et al.  Numerical Simulation of Sea Surface Directional Wave Spectra under Hurricane Wind Forcing , 2003 .

[18]  Ian A. Renfrew,et al.  Tip Jets and Barrier Winds: A QuikSCAT Climatology of High Wind Speed Events around Greenland. , 2005 .

[19]  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.

[20]  T. Dahm,et al.  Seismic Broadband Ocean-Bottom Data and Noise Observed with Free-Fall Stations: Experiences from Long-Term Deployments in the North Atlantic and the Tyrrhenian Sea , 2006 .

[21]  Klaus Hasselmann,et al.  A statistical analysis of the generation of microseisms , 1963 .

[22]  Robert K. Cessaro,et al.  Sources of primary and secondary microseisms , 1994, Bulletin of the Seismological Society of America.

[23]  H. Essen,et al.  On the generation of secondary microseisms observed in northern and central Europe , 2003 .

[24]  Ralph A. Stephen,et al.  Mid‐ocean microseisms , 2005 .

[25]  R. Herrmann,et al.  Attenuation of Love and Rayleigh waves across the Pacific at periods between 15 and 110 seconds , 1976, Bulletin of the Seismological Society of America.

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

[27]  N. Rayner,et al.  Version 2.2 of the Global sea-Ice and Sea Surface Temperature Data Set , 1996 .

[28]  B. Mitchell Regional Rayleigh wave attenuation in North America , 1975 .

[29]  Michel Campillo,et al.  A study of the seismic noise from its long-range correlation properties , 2006 .

[30]  Valentina N. Tabulevich,et al.  Microseismic and infrasound waves , 1992 .

[31]  C. Y. Wu,et al.  Wave Interactions As a Seismo-acoustic Source , 1996 .

[32]  J. Canas,et al.  Rayleigh wave attenuation and its variation across the Atlantic Ocean , 1981 .

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

[34]  Läslo Evers,et al.  Listening to sounds from an exploding meteor and oceanic waves , 2001 .

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