fastFWI.zip_fwi全波形反演

# Simple frequency domain full-waveform inversion (FWI) regularized by Sobolev space norm (c) Vladimir Kazei and Oleg Ovcharenko (KAUST, 2019) ## Full-waveform inversion Standard L2 full-waveform inversion ||D(m)-D_obs||^2 + F_reg(m_0, m) is minimized where D_obs is the observed data D(m) is the data modeled in the model m m is current model m_0 is the starting model F_reg is the regularizing functional generic FWI implementation (misfit functional and gradient) is based on [SimpleFWI](https://github.com/TristanvanLeeuwen/SimpleFWI) by Tristan van Leeuwen [LBFGS-B-C optimization implementation](https://github.com/stephenbeckr/L-BFGS-B-C) by [Stephen Becker](http://amath.colorado.edu/faculty/becker/) ## Sobolev space norm regularization We add regularizing functional equivalent to Sobolev space norm for F_reg = ||m||_{W¹_p}. [Kazei et al., 2017](http://www.earthdoc.org/publication/publicationdetails/?publication=88317) It can also be applied as a regularizing ## Example We demonstrate an application of FWI to [Marmousi II benchmark velocity model](https://library.seg.org/doi/full/10.1190/1.2172306). We initiate inversion from a linear velocity model and search for updates of model parameters by L-BFGS. [vladimir.kazei@kaust.edu.sa](vkazei.com)