From modeling to full waveform inversion: A hands-on tour using Madagascar

Further thinking

• The storage complexity using regular grid FD and staggered grid FD stencil?
• How to reduce the storage requirement for a 3-D volume? CFL $\rightarrow$ Nyquist: decimation+ interpolation (Yang et al., 2016c,d)
• How to derive the adjoint state equation? $\rightarrow$ Lagrange multiplier+cost function (Plessix, 2006)? What is the adjoint state equation for 1st order acoustic wave equation, viscoacoustic system, viscoelastic system (Yang et al., 2016a)?
• Is it possible to do reverse propagation in attenuating medium? How to handle instability? Binomial checkpointing $\rightarrow$ CARFS (checkpointing-assisted reverse-forward simulation) (Yang et al., 2016b)?
• What if FWI using other norms/misfit function $C$ ? Only change the adjoint source $\frac{\partial C}{\partial p}$ ?