Robust 2D Hilbert Atributes of Local Amplitude and Phase

Instantaneous amplitude and phase are based on the 1D Hilbert transform of seismic traces. We present
alternative attributes with improved localization properties by applying a combination of orientationadaptive
Hilbert transforms and bandpass filtering. The concept of local amplitude and phase are first
explained for the 1D case, before extensions to 2D are given. In the 2D case, the process consists
conceptually of two steps: First, the dominant local orientation is estimated, and then the local amplitude
and phase are estimated along that orientation. The proposed attributes are compared to the classical
instantaneous attributes both for a thin-bed resolution image with a classical wedge model, and for a
seismic data set. They show better localization properties for the thin-bed wedge model, and a higher
robustness and lateral continuity on the real seismic data.