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In this talk, I will introduce one kind of source-based extended waveform inversion called Matched Source Waveform Inversion (MSWI),which allows additional, non-physical sources acting at shotting time. The extra sources permit the data to be fit well,even when velocity is kinematically inconsistent with data. A distance-weighted penalty on source energy is minimized when the data is fit.
Good data fit throughout the inversion process produces a considerably more convex objective function than does the standard data-domain FWI formulation. A good theoretical foundation for this approach exists for pure transmission problems, while numerical examples suggest that in fact it may be a feasible approach to reflection and transmission inversion when the low frequency components of data is missing. | 
