Adjoint envelope tomography for scattering and absorption using radiative transfer theory

SUMMARY To investigate the small-scale elastic structure of subsurface at length scales below resolution limits waveform tomography, envelopes high-frequency scattered seismic waveforms have been used with a variety approaches. However, rigorous framework for iterative inversion seismogram to image heterogeneity and attenuation comparable full (FWI) is missing. We present mathematical an envelope using forward adjoint simulations radiative transfer equations, in analogy FWI that based on wave equation. The problems are solved by modelling 2-D multiple non-isotropic scattering random medium spatially variable Monte Carlo method. Sensitivity kernels derived squared difference between observed modelled which iteratively minimized L-BFGS apply this algorithm numerical tests acoustic approximation show it possible spatial distribution inversions. Our analysis shows relative importance anomalies needs be considered when model assessed. inversions confirm early coda important imaging while later waves more sensitive intrinsic we dependency can cope trade-off exists both material properties.