Radon transforms are a family of transformations utilized to enhance the signal-to-noise ratio of seismic records. They operate within the framework of a very simple concept: data and noise are mapped to different areas in the transform domain and therefore, filtering becomes an easy task. Our current efforts in Radon data processing entail the development of multi-parameter Radon transforms to...

Our proposal provides post-migration techniques for computing angle-domain common-image gathers (CIGs) from seismic images, extended by the subsurface offset, in relation with wave-equation migration methods. In addition to the commonly used decomposition of the scattering-angles, we associate the wave-equation migration with dip-domain image gathers as well. Our methodology suggests a system o...

I introduce a digital wavelet-like transform tailored specifically for representing seismic data. The transform provides a multiscale orthogonal basis with basis functions aligned along seismic event slopes in the input data. It is defined with the help of the wavelet lifting scheme combined with local plane-wave destruction. The main objective of the new “seislet” transform is an optimal seism...

Wavefield tomography represents a family of velocity model building techniques based on seismic waveforms as the input and seismic wavefields as the information carrier. For wavefield tomography implemented in the image domain, the objective function is designed to optimize the coherency of reflections in extended common-image gathers. This function applies a penalty operator to the gathers, th...

Wavefield tomography represents a family of velocity model building techniques based on full waveforms as the input and seismic wavefields as the information carrier. When these techniques are implemented in the image domain and use seismic images as the input, they are referred to as image-domain wavefield tomography. The objective function for image-domain approach is designed to optimize the...

Wavefield tomography represents a family of velocity model building techniques based on seismic waveforms as the input and seismic wavefields as the information carrier. For wavefield tomography implemented in the image domain, the objective function is designed to optimize the coherency of reflections in extended common-image gathers. This function applies a penalty operator to the gathers, th...

the conventional approach to seismic data analysis consists of two main steps: estimating seismic velocities, (the subsurface macro-model), and seismic imaging, (mapping of the reflected seismic energy to the reflector positions). the aim and the major challenge in the seismic data analysis is the construction of the best undistorted image. this challenge would be more problematic when geometri...

Internal multiples have long been recognized as a problem in seismic imaging. Some theoretical developments have been made to attenuate them, but there is no 3D theory as yet that is valid for a wide range of velocity models. The goal of this paper is to present such a theory. Through the development of this theory we show that, unless certain simplifying assumptions are made about the velocity...

Reliable seismic depth migrations require an accurate input velocity model. Inaccurate velocity estimates will distort point diffractors into smiles or frowns on a depth section. For both poststack and prestack migrated sections, high velocities cause deep smiles while low velocities cause shallow frowns on migrated gathers. However, for prestack images in the offset domain, high velocities cau...