Abstract
We investigate the benefits of knowing in-volume wavefields
for nonlinear subsurface parameter, e.g. velocity, inversion.
Given known in-volume data, i.e. the full wavefield in a
volume of interest, one can directly invert the thereby field-
linearised Lippmann-Schwinger integral for the scattering po-
tential. For the retrieval of in-volume scattered waves from
limited boundary data we investigate different approaches, i.e.
the contrast source method, the inverse scattering series and
the Marchenko framework, and analyse their theoretical rela-
tions. While the first two methods build on the Lippmann-
Schwinger integral framework, the Marchenko method consti-
tutes an alternative approach because it does not have an ex-
plicit dependence on the medium’s scattering potential. From
our study, we argue that combining both concepts, that is, us-
ing the Marchenko framework to obtain in-volume wavefields
and the Lippmann-Schwinger integral to estimate the scatter-
ing potential, might be beneficial for pushing resolution lim-
its in waveform-based inversion. We discuss our theoretical
observations and illustrate various aspects of using in-volume
wavefields in the inversion process with numerical examples.
Finally, we discuss errors that are inherent to the Marchenko
redatuming framework and how they might affect the wave-
field quality and the inverted scattering potential.
for nonlinear subsurface parameter, e.g. velocity, inversion.
Given known in-volume data, i.e. the full wavefield in a
volume of interest, one can directly invert the thereby field-
linearised Lippmann-Schwinger integral for the scattering po-
tential. For the retrieval of in-volume scattered waves from
limited boundary data we investigate different approaches, i.e.
the contrast source method, the inverse scattering series and
the Marchenko framework, and analyse their theoretical rela-
tions. While the first two methods build on the Lippmann-
Schwinger integral framework, the Marchenko method consti-
tutes an alternative approach because it does not have an ex-
plicit dependence on the medium’s scattering potential. From
our study, we argue that combining both concepts, that is, us-
ing the Marchenko framework to obtain in-volume wavefields
and the Lippmann-Schwinger integral to estimate the scatter-
ing potential, might be beneficial for pushing resolution lim-
its in waveform-based inversion. We discuss our theoretical
observations and illustrate various aspects of using in-volume
wavefields in the inversion process with numerical examples.
Finally, we discuss errors that are inherent to the Marchenko
redatuming framework and how they might affect the wave-
field quality and the inverted scattering potential.
| Original language | English |
|---|---|
| Publication status | Published - 30 Sept 2020 |
| Event | Society of Exploration Geophysicists International Exposition and Annual Meeting 2020 - Duration: 11 Oct 2020 → 16 Oct 2020 |
Conference
| Conference | Society of Exploration Geophysicists International Exposition and Annual Meeting 2020 |
|---|---|
| Abbreviated title | SEG 2020 |
| Period | 11/10/20 → 16/10/20 |