文件列表:

fastFWI (0, 2020-03-13)
fastFWI\LICENSE (1071, 2020-03-13)
fastFWI\doc (0, 2020-03-13)
fastFWI\doc\final.png (1065182, 2020-03-13)
fastFWI\doc\init.png (237873, 2020-03-13)
fastFWI\doc\true.png (1132717, 2020-03-13)
fastFWI\engine (0, 2020-03-13)
fastFWI\engine\fwi_utils (0, 2020-03-13)
fastFWI\engine\fwi_utils\create_convergence_movie.m (1272, 2020-03-13)
fastFWI\engine\fwi_utils\fwiFunc.m (1401, 2020-03-13)
fastFWI\engine\fwi_utils\misfit.m (3830, 2020-03-13)
fastFWI\engine\fwi_utils\parDiffTools (0, 2020-03-13)
fastFWI\engine\fwi_utils\parDiffTools\getD1D.m (176, 2020-03-13)
fastFWI\engine\fwi_utils\parDiffTools\getD_j.m (517, 2020-03-13)
fastFWI\engine\fwi_utils\parDiffTools\getL.m (269, 2020-03-13)
fastFWI\engine\helmholtz (0, 2020-03-13)
fastFWI\engine\optimization (0, 2020-03-13)
fastFWI\engine\optimization\LBFGSB (0, 2020-03-13)
fastFWI\engine\utils (0, 2020-03-13)
fastFWI\engine\utils\defval.m (1165, 2020-03-13)
fastFWI\engine\utils\mkdir_inform.m (271, 2020-03-13)
fastFWI\engine\utils\parseArgs.m (5889, 2020-03-13)
fastFWI\engine\utils\plots (0, 2020-03-13)
fastFWI\engine\utils\plots\imagescc.m (439, 2020-03-13)
fastFWI\engine\utils\plots\rdbuMap.m (339, 2020-03-13)
fastFWI\engine\utils\subaxis.m (3844, 2020-03-13)
fastFWI\例子 (0, 2020-03-13)
fastFWI\例子\BP_tooth_FWI.m (5097, 2020-03-13)
fastFWI\例子\loadRegPresets.m (1379, 2020-03-13)
fastFWI\例子\marmousi_II_FWI.m (4968, 2020-03-13)
fastFWI\例子\models (0, 2020-03-13)
fastFWI\例子\models\BP (0, 2020-03-13)
fastFWI\例子\models\BP\bp_tooth_long.dat (682912, 2020-03-13)
fastFWI\例子\models\marm2 (0, 2020-03-13)
fastFWI\例子\models\marm2\marm2_10.dat (3269207, 2020-03-13)

# 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||_W¹p. [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)   

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