The constrained linear least-squares perturbations to the function were found to be very stable and well represented by a sixth order Chebyshev polynomial at hypocentral distances from 8 km to 500 km. At shorter distances, it is approximated by a line with a slope close to 2. In this study, we use hypocentral distance, rather than epicentral distance as originally used by Richter (1935), to accurately represent variation in the attenuation function at close distances. This form was adopted and a CISN algorithm was developed and used in all subsequent inversions for the SNCL adjustments. A plot of the CISN function is shown in Figure 2.26.
Berkeley Seismological Laboratory
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