ANALYTICAL SOLUTIONS OF WAVE FIELD IN 3-DIMENSIONAL CARTESIAN COORDINATE AND THEIR APPLICATION TO SYNTHESIS OF SEISMIC GROUND MOTIONS

Abstract

We describe herein the frequency wavenumber domain's solutions of seismic waves radiated from the kinematic source model with 4 types slip directions in a three-space Cartesian coordinate system, and also the closed form solutions of the soil layered stiffness matrices necessary to calculate the seismic waves in the layered soils. To demonstrate an applicability of the presented solutions, we synthesize the near-field ground accceleration motions recorded during the 1966 Parkfield earthquake, by using the presented solutions for the frequency range of 0-1.25Hz and adding the stochastic waves simulated by a stochastic method for the frequency range of 1.25-10Hz.