Near-Surface Investigations: FWI vs. MASW
I think there are some initial exploratory abstracts out there on the topic, e.g., http://www.earthdoc.org/publication/publicationdetails/?publication=75396 . But not much yet. 

My view is that that MASW (multichannel analysis of surface waves) is simply so much more robust in practice compared to FWI (full waveform inversion, which really doesn't work as spectacularly well as some papers may suggest; the method requires a LOT of iterative and hands-on work, and is furthermore extremely computationally demanding, without always giving dramatically better results compared to travel-time tomographies...)... hence, I think that MASW will remain the standard in the coming future, until FWI truly becomes a 'cheap' and 'hands-off' method, which could easily take another 15+ years, I imagine...