Slowness and Reflection Coefficient Curves for Laterally Heterogeneous Media

Geologic stratigraphic scenario testing via deep learning: towards imaging beyond seismic resolution

“…(Veeken & Rauch-Davies, 2006). The latter usually employs the 1.5D assumption, meaning that locally a 1D medium is considered in order to use the Zoeppritz equations or its approximations (Aki & Richards, 1981), even if the inversion is done in a full waveform manner (Gisolf & van den Berg, 2010).This means that local heterogeneity is usually not properly incorporated, as there is no proper forward model describing the AVO response in a laterally inhomogeneous medium (Hammad & Verschuur, 2019). However, the heterogeneity information is encoded in the angledependent response, e.g.…”

Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators

“…This is a variant of the boundary determination problem (see for example [3]) from the hyperbolic Dirichlet-to-Neumann map, but in our case, reflected amplitudes (specifically, we use the full symbol of R) is in place of the Dirichlet-to-Neumann map. We are not aware of mathematical literature of this exact problem even though there is plenty of geophysical literature on a simplified version of this problem (see [4][5][6]). We treat this inverse problem both in the acoustic and elastic wave setting.…”

“…The amplitude variation due to change in angle of a wave hitting the reflector indicates contrasts in lithology, shear properties, and fluid content in rocks above and below the interface. Recent work for this type of analysis in heterogeneous media can be found in [5], and an inverse problem that incorporates both multiple scattering and recovering reflection coefficients can be found in [4]. A genetic algorithm for nonlinear recovery of material parameters from reflection coefficients can be found in [7].…”