Sensitivity kernels for static and dynamic tomography of scattering and absorbing media with elastic waves: a probabilistic approach

SUMMARY Scattered seismic coda waves are frequently used to characterize small scale medium heterogeneities, intrinsic attenuation or temporal changes of wave velocity. Spatial variability these properties raises questions about the spatial sensitivity waves. Especially continuous monitoring perturbations using ambient noise led a demand for approaches image observed with An efficient approach localize and variations is invert observations from different source–receiver combinations lapse times in location perturbations. For such an inversion, it key calculate coda-wave kernels which describe connection between perturbation. Most discussions use acoustic approximation spatially uniform often assume propagation diffusion regime. We model 2-D multiple non-isotropic scattering random elastic variable heterogeneity radiative transfer equations we solve Monte Carlo method. Recording specific energy density wavefield that contains complete information at given position, time direction allows us according rigorous theoretical derivations. The practical calculation involves solution adjoint transport equations. investigate relationships P- S-wave velocity, strength fluctuation on one hand seismogram envelope, traveltime waveform decorrelation as observables other hand. These reflect effect constitute first step development tomographic inversion distribution small-scale based scattered