## Full waveform inversion based
on an asymptotic solution of Helmholtz equation

**Maxim Protasov,**
**Kirill Gadylshin,**
**Dmitry Neklyudov** **&**
**Ludek Klimes**
### Summary

This study considers the full waveform inversion (FWI)
method based on the asymptotic solution of the Helmholtz equation.
We provide frequency-dependent ray tracing to obtain the wave field
used to compute the FWI gradient and calculate the modeled data.
With a comparable quality of the inverse problem solution
as applied to the standard finite difference approach,
the speed of the calculations in the asymptotic method
is an order of magnitude higher.
A series of numerical experiments demonstrate the approach's
effectiveness in reconstructing the macro velocity structure
of complex media for low frequencies.

### Keywords

Full waveform inversion, asymptotic, frequency-dependent rays,
Helmholtz equation.

### Whole paper

The reprint is available in
PDF (4353 kB).

*Geosciences*, **13** (2023), 19 (13 pp.)
(DOI 10.3390/geosciences13010019).