Highlights

• Presentations of POTSI work at the annual meeting of the Society for Exploration Geophysicists in NOv, 2008, Las Vegas..
• Reverse time migration based on Gabor windows, with comparisons to high order pseudospectral methods and standard finite difference methods, by PhD candidate Ben Wards.
• Application of Gabor methods to mutliple suppression in seismic imaging.
• Development of Chebeshev-type approximations based on Patera's work on Lie group lattices.

• Summer students working on numerical implementations of nonstationary techniques applied to imaging and acoustics, including butterfly algorithms for Fourier Integral Operators used in wave propagation, and creation of synthetic musical notes.
• Internship with CGG/Veritas on an implementation of reverse time migration based on Gabor windows, with comparisons to high order pseudospectral methods, by PhD candidate Ben Wards.

• A four month internship with Husky Energy is underway, with graduate student Chad Hogan, investigating a full waveform topography technique for 4D seismic surveys.

• The FOCI method for 2D depth migration has been implemented in FORTRAN for speed, with provisions for accommodating topography in the surface data. This algorithmprovides a fast, stable method for wavefield extrapolation used in the key step of migrations in the  seismic imaging problem.

• The FOCI method (Forward operator conjugate inverse) developed by the POTSI group provides a fast, stable method for wavefield extrapolation used in the key step of migrations in the  seismic imaging problem. Our presentation on FOCI was awarded the Best Paper distinction at the CSEG National Convention.

In about midyear of 2000, we became excited about the connection between Gabor analysis and pseudodifferential operators. Since then we have focused strongly on Gabor techniques as a practical means of implementation of pseudodifferential operators and developed a number of exciting results. The most mature is a new seismic deconvolution technique, called Gabor deconvolution, which enables deconvolution to deal with nonstationary signals.