Generalizing previous studies on short-period data, it is shown that body-wave dispersion can be measured from broad-band records of earthquakes of moderate magnitude. The method is based on the direct measurement of the arrival time of the frequency components of a seismic wave, and the arrival time is defined by its expectation value. The frequency components of the signal are obtained through a narrow band-pass filtering process. Previous to any interpretation, a correction of the arrival time for instrument response and group delay of the filter is needed. In the first step, body-wave dispersion is related to an absorption band to account for intrinsic attenuation, and thereafter we generalize this interpretation by considering a cascade of filters to account for medium parameters (attenuation and a layered crust) and source parameters (source time function and finiteness of fault). An inversion scheme to obtain the filter parameters can be devised by following, in a formal way, the same procedure as for the case of surface wave dispersion.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
Aki, K., andChouet, B. (1975),Origin of Coda Waves: Source, Attenuation and Scattering, Effects, J. Geophys, Res.80, 3322–3342.
Ben-Menahem, A., andSingh, J. S.,Seismic Waves and Sources (Springer-Verlag, New York 1981).
Choy, G. L., andCormiek, V. F. (1986),Direct Measurements of the Mantle Attenuation Operator from Broadband P and S Waveforms, J. Geophys. Res.91, 7326–7342.
Correig, A. M. (1991),On the Measurement of Body Wave Dispersion, J. Geophys. Res. (In press).
Correig, A. M., andMitchell, B. J. (1980),Regional Varitions of Rayleigh Wave Attenuation Coefficients in the Eastern Pacific, Pure Appl. Geophys.118, 831–845.
Correig, A. M., andMitchell, B. J. (1989),Attenuative Body-wave Dispersion at La Cerdanya, Eastern Pyrenees, Phys. Earth Planet. Int.57, 304–310.
Correig, A. M., Mitchell, B. J., andOrtiz, R. (1990),Seismicity and Coda Q Values in the Easte Pyrenees: Results from the La Cerdanya Seismic Newtwork, Pure Appl. Geophys.132, 312–329.
Doornbos, D. J. (1983),Observable Effects of the Seismic Absorption Band in the Earth, Geophys. J. R. Astr. Soc.75, 693–711.
Dost, B. (1987),The NARS Array, a Seismic Experiment in Western Europe, Ph.D. Thesis Utrecht University, the Netherlands.
Haskell, N. A. (1953),The Dispersion of Surface Waves on a Multilayered Media, Bull. Seismol. Soc. Am.43, 17–34.
Hoang Trong, P., andGranet, M. (1980),Body-wave Dispersion in the Friuli Focal Area, Phys. Earth Planet. Int.21, 31–37.
Jacobson, R. S. (1987),An Investigation into the Fundamental Relationship between Attenuation, Phase Dispersion and Frequency, Using Seismic Refraction Profiles over Sedimentary Structures, Geophys.52, 72–87.
Liu, H. P., Anderson, D. L., andKanamori, H. (1976),Velocity Dispersion due to Anelasticity: Implications for Seismology and Mantle Composition, Geophys. J. R. Astr. Soc.89, 933–964.
Mclaughlin, K. L., andAnderson, L. M. (1987),Stochastic Dispersion of Short-period P-waves due to Scattering and Multipathing, Geophys. J. R. Astr. Soc.89, 933–964.
Minster, J. B. (1978),Transient and Impulse Responses of a One-dimensional Linearly Attenuating Medium—II. A Parametric Study, Geophys. J. R. Astr. Soc.52, 503–524.
Müller, G. (1983),Rheological Properties and Velocity Dispersion of a Medium with Power-law Dependence of Q on Frequency, J. Geophys.54, 20–29.
Orcutt, J. A. (1987),Structure of the Earth's Oceanic Crust and Uppermost Mantle Rev. Geophys.25, 1177–1196.
Phinney, R. A. (1964),Structure of the Earth's Crust from Spectral Behavior of Long-period Bodywaves, J. Geophys. Res.69, 2997–3017.
Schwab, F. (1988),Mechanism of Anelasticity, Geophys. J.95, 261–284.
Seidl, D., andStammler, W. (1984),Restoration of Broad-band Seismograms (Part I), J. Geophys.54, 114–122.
Shift, L. I.,Quantum Mechanics (McGraw Hill 1949) 404 pp.
Wuenschel, P. C. (1965),Dispersive Body Waves. An Experimental Study, Geophys.30, 539–551.
About this article
Cite this article
Correig, A.M. Body-wave dispersion: Measurement and interpretation. PAGEOPH 136, 561–576 (1991). https://doi.org/10.1007/BF00878587
- Body waves