A New Kind of Polarization-based Misfit Function - Theoretical Formulation and Application to Full Waveform Inversion
R. Valensi, R. Brossier, V. Baltazart, D. Leparoux, F. Bretaudeau and P. Côte
Event name: 77th EAGE Conference and Exhibition 2015
Session: Full Waveform Inversion I
Publication date: 01 June 2015
Info: Extended abstract, PDF ( 1.31Mb )
Price: € 20
Multicomponent are becoming routinely used in seismology and they open new prospects for seismic tomography purposes. Especially, polarization observables are observables of choice for the seismic tomography. However, the polarization observables and their associated misfit functions used in geophysical literature are not optimal for tomography purposes. In this contribution, we propose to define a new kind of polarization misfit function based on an ``intrinsic'' distance in the polarisation states space. Then, the gradient of the proposed misfit function is computed by taking advantage of the adjoint state formalism and integrated in an existing full waveform inversion program. Finally, a numerical example is proposed to compare the results from the proposed polarization misfit function with the conventional L2 multicomponent cost-function and the polarization spectral ratios.