Numerical tests on generalized diffraction tomography

In this paper we formulate the generalized diffraction tomography based on the volume scattering model in heterogeneous media. The frequency-dependent effect due to the finite spatial aperture of the acquisition system is corrected in the local angle domain, resulting in less artifacts and more balanced amplitude for recovering velocity perturbations. Using multiple frequencies, the blind area in the spectral domain in the traditional diffraction tomography can be partially filled and the qualities of the local spectra can be improved in both coverage and uniformity in the local wavenumber domain. Through the preliminary tests using a simple box model in a smoothly varying v(z) medium, the generalized diffraction tomography can recover the long-wavelength component of velocity perturbations up to 23% with respect to the background velocity. It can also reconstruct the low-wavenumber-component Marmousi velocity model very well when low-frequency waves are used in the process.