Electronic Supplement to

A Regional Ground Motion Excitation/Attenuation Model for the San Francisco Region

by Luca Malagnini, Kevin Mayeda, Robert Uhrhammer, Aybige Akinci, and Robert B. Herrmann


The present Electronic Supplement contains the predictive relationships of this paper in the form of tables to be used into the ShakeMap software. The tables were obtained through the use of Random Vibration Theory (Cartwright and Longuet-Higgins, 1956), using the source spectral model developed in this study, a frequency-dependent crustal attenuation, and a frequency-dependent duration function.


The peak values included in the five separate tables presented here (Peak Ground Acceleration: PGA; Peak Ground Velocity: PGV; Pseudo-Spectral Accelerations at the three dominant periods of 0.3 sec, 1.0 sec, and 3.0 sec: PSA_03, PSA_10, PSA_30) were computed for 0.1 increments in moment magnitude between Mw 2.0 and Mw 5.5, for each km of hypocentral distance between 10 and 200 km.

Within each table, entries are organized by increasing moment magnitude and decreasing  hypocentral distance (km), with the loop over distances nested within the one over magnitudes. Physical units are cm/s2 for accelerations and cm/s for velocities. The tables provide the logarithms (base 10) of the peak values, and the actual distances in km.





Online Material: Tables of peak ground acceleration, peak ground velocity, and pseudo-spectral accelerations at 0.3 sec, 1.0 sec and 3.0 sec. 

File name

Content

table_pga.txt

Mw, hypocentral distance (km), log10(pga) (pga in units of cm/s2)

table_pgv.txt

Mw, hypocentral distance (km), log10(pgv) (pgv in units of cm/s)

table_03.txt

Mw, hypocentral distance (km), log10(psa) @ 0.3 sec (psa in units of cm/sec2)

table_10.txt

Mw, hypocentral distance (km), log10(psa) @ 1.0 sec (psa in units of cm/sec2)

table_30.txt

Mw, hypocentral distance (km), log10(psa) @ 3.0 sec (psa in units of cm/sec2)





References


Cartwright, D. E., and M. S. Longuet-Higgins (1956). The statistical distribution of the maxima of a random function, Proc. R. Soc. London 237, 212-232.