Analysis of the attenuation of strong ground motion on the island of Hawaii

Abstract We develop a horizontal peak ground acceleration (PGA) predictive equation for the island of Hawaii by applying the Joyner and Boore (1993, 1994) two-stage regression method to a data set that consists of 51 PGA from 22 events. Magnitudes vary from 4.0 to 7.2, and event depths vary from 4 to 14 km. The resulting equation is log ⁡ 10 P G A = 0.518 + 0.387 ( M − 6 ) − log ⁡ 10 r − 0.00256 r + 0.335 S , where PGA is measured in units of g , M is magnitude, r = ( d 2 + 11.29 2 ) 1/2 , and S is 0 for lava sites and 1 at ash sites. The distance parameter d is the closest distance from the recording site to the surface projection of the fault rupture area and varies from 0 to 88 km for the Hawaii PGA data set. We find that the attenuation of high- frequency strong ground motion is significantly greater than a previous relationship used for the island of Hawaii. The ash site coefficient S , which represents accelerometer sites with shear-wave velocities that vary from 60 to 200 m/sec, is generally larger than the soil site coefficients in other attenuation relationships.

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