Residual wave extrapolation operators

G. Sindi*, T. Alkhalifah

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


Wavefield extrapolation is at the heart of modeling, imaging, and Full waveform inversion. Solving the wave equation using finite-difference approximations allows for fast extrapolation of the wavefield. It, however, suffers from dispersion and stability-related limitations that might hamper its efficient or proper application to high frequencies. Spectral methods are far more accurate and stable with dispersion free solutions, but that usually comes at an additional cost to the extrapolation. We use the residual formulation of the spectral implementation based on Taylor's series expansion (second order) and Shanks transform to improve the efficiency of the spectral implementation. We specifically use a velocity based perturbation approach to enhance the speed by allowing for larger time steps. The multiple smaller velocity perturbations provides a utility to decrease the residual phase operator for a large time step, and alow us to us perturbation methods. We show these advantages numerically.

Original languageEnglish (US)
Title of host publication77th EAGE Conference and Exhibition 2015
Subtitle of host publicationEarth Science for Energy and Environment
PublisherEuropean Association of Geoscientists and Engineers, EAGE
Number of pages5
ISBN (Electronic)9781510806627
StatePublished - Jan 1 2015
Event77th EAGE Conference and Exhibition 2015: Earth Science for Energy and Environment - Madrid, Spain
Duration: Jun 1 2015Jun 4 2015


Conference77th EAGE Conference and Exhibition 2015: Earth Science for Energy and Environment

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics


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