Frecuency-wavenumber analysis of strong ground motion in Mexico City

Abstract

An analysis of frequency-wavenumber (f-k) spectral power densities of strong ground motion recorded by the Mexico City Accelerometric Network (MCAN) is presented. Time series of a seismic event recorded by the MCAN are analysed. Each recorded motion is assumed to be the insight of a homogeneous random field whose spectral representation reveals an assortment of propagating waves. A kinematic decomposition that separates the waves in longitudinal and transversal displacements was made. These motions are associated to Rayleigh and Love waves, respectively. The analysis on different time windows of the MCAN signals to identify back-propagating waves locally generated as a result of their interactions with shallow geological features was applied. For each component, we estimate the f-k spectral power density, which provide the amplitudes, velocities and directions of propagation of the most significant waves. These values, as functions of frequency, constitute the kinematic spectra of the wave field. Results obtained using this method allow to establish coherent scenarios of the wave field in Mexico City Valley that imply pointing out locally generated surface waves.