This section introduces custom TV (total variation) norm based constraint settings. When used in tandem with Adaptive Waveform Inversion this acts to penalise jumps and homogenise salt. It preserves key salt boundaries and suppresses spurious oscillation when building up blocks of salt.
Below shows a synthetic example with a starting model and target model. Results from conventional least-squares FWI are compared with AWI plus constraints.
Starting Model
Target Model
Conventional FWI
AWI with constraints
AWI with spatial derivative constraints
Salt body recovered
Horizontal slice through starting model
Vertical slice through starting model
Horizontal slice through intermediate model
Vertical slice through intermediate model
Horizontal slice through final model
Vertical slice through final model
Horizontal slice through target model
Vertical slice through target model
Conventional FWI
Salt body wiped away
Horizontal slice through starting model
Vertical slices through starting model
Horizontal slice through final model
Vertical slice through final model