Fractal fracture scattering origin of S-wave coda: Spectral evidence from recordings at 2.5 km

Physics

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Earthquakes, Radio Spectra, S Waves, San Andreas Fault, Seismic Waves, Seismograms, Wave Scattering, Boreholes, High Frequencies, Power Series, Scattering Amplitude, Surface Waves, Wave Attenuation

Scientific paper

Local earthquake seismograms recorded at a depth of 2.5 Km in the Cajon Pass borehole near the San Andreas fault, southern California, yield body-wave and coda-wave amplitude spectra at frequencies between 10 and 200 Hz without interference from either near-surface attenuation or surface waves. The coda-wave spectra resemble the shear-wave source spectra except that above the corner frequencies f0 approximately equal to 20-30 Hz coda spectra decay by power-law exponent n approximately equal -2.3 +/- 0.1 while the source shear-wave spectra decay by cubic power-law (mean power-law exponent n approximately equal -3.1 +/- 0.1). Assuming a cubic source power-law spectral decay, the high frequency power-law enrichment of coda amplitudes relative to source amplitudes implies a power-law distribution of scatterers that increases with frequency as approximately equal f(exp 0.7 +/- 0.1). The distribution of acoustic reflectivity deduced from the Cajon Pass well log has a power-law density approximately equal v0.6 at the relevant spatial frequencies v. The agreement between the temporal and spatial frequency power-law exponents may be explained by first order scattering in fractal fracture-heterogeneous material.

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