Simulation of Earthquake Motion from Phase Information

We developed a method based on the concept of wavelet transformation to simulate earthquake motion that uses phase spectra of earthquake motions. By using Mayer’s analyzing wavelet a simultaneous linear equation was derived from which the relative values of wavelet coefficients can be determined from the phase spectrum on each compact support of a scale function. The relationship between the power of earthquake motions and the wavelet coefficients on each compact support was used to determine the absolute values of wavelet coefficients. The efficiency of the proposed method was investigated by comparing resimulated with observed earthquake motion. A stochastic model with which to simulate the phase spectrum is proposed that is based on the concept of group delay time. A sample phase spectrum simulated by this stochastic model was used to simulate an artificial earthquake motion based on the proposed method.