Homogeneous Green’s function retrieval using the Marchenko method

In wave theory, a Green’s function is defined as the response of a medium to an impulsive point source. The homogeneous Green’s function is the combination of the Green’s function and its time-reversal. Homogeneous Green’s functions can be retrieved if the medium is enclosed by a boundary where the full wavefield is recorded. In recent years, the Marchenko method has gained popularity, because unlike many conventional methods it does not require an enclosing boundary. Instead a single-sided boundary is all that is required. The method is sensitive to attenuation, which makes it difficult to apply to field data. We will show that by using corrections on the attenuated data, we can retrieve the Green’s functions in the subsurface. These results can be visualized in order to see how the wavefield propagates through the subsurface.