Estimation of Rayleigh wave modal attenuation from near-field seismic data using sparse signal reconstructions

This study is related to the application of sparse signal reconstruction in estimation of Rayleigh-wave modal attenuation coefficients from near-field multichannel seismic data. A two-step approach was proposed. At the first step, the Rayleigh-wave modes are resolved and their phase velocities are estimated by a reconstruction of signal that is represented to be sparse in terms of wave velocity. At the second step, this time the signal is represented to be sparse in terms of attenuation parameter and then recovered optimally from the measurement equation that includes the modal phase velocities estimated above. The attenuation values corresponding to the dominant peak components of the estimated sparse signal vector are chosen as modal attenuation coefficients. Results from synthetic and real-field data show the high performance of proposed approach overcoming noise and the adverse near-field effects.