THE WAVELET SEISMIC INVERSION LAB

Wavelet Bases: What Do They Look Like

• 1-D Daubechies Wavelets
• 2-D Bases of the Wavelet Subspaces
• 2-D Daubechies Wavelets

MRA Displays of Data and Models

• A "BAD" 2-D Velocity Compression Test
• Marmousi Model Compression Test
• MRA of Helle's Photo

Seismic Wave Propagations

• A scaling medium representation, a discussion on well-logs, fractals and waves by Felix Herrmann.
• Multiscale analysis of seismic data by the wavelet transform by Edo Hoekstra
• Characterizing the irregularity of measurements by means of the wavelet transform by Joes Staal
• Fundamentals of the Discrete Wavelet Transform for Seismic Data Processing by J. Cohen & T. Chen
• On the Adaptive Numerical Solution of Nonlinear Partial Differential Equations in Wavelet Bases by G. Beylkin & J. M. Keiser

Traveltime Tomography

• Wavelet Transform Inversion with a Priori Scale Information by X. G. Li, et al.
• Wavelet Transform Constrained Inversion by X. G. Li, et al.
• 2-D Tomography in Multi-resolution Analysis Model Space by Z. Meng & J. Scales

Bleistein/Cohen Inversion Theory

• Velocity Inversion Using Wavelet Represented Perturbation by Z. Meng, N. Bleistein and J. Schatzmann

Full Waveform Inversion

• One dimensional ladder inversion of wave equation by wavelet representation by L. Yang & Z. Meng

Ill-posedness Issues

• Using Multi-Resolution Analysis to Study the Complexity of Inverse Calculations by H. L. Deng

Pattern Recognition & Other Transforms

• Sound Recognition Using Wavelet Transform and Genetic Algorithm by K. Hirane & N. Sawabe.
• Seismic Signal Feature Extraction with Wavelet Transforms by K. Anant, et al.
• Abstract 1995-375: Wavelet and Radon Transform by F. Liu, et al.

Seismic Data Compression

• SeisPact: wavelet based seismic data compression
• Wavelet Based Seismic Data Compression by SeisPact
• Wavelet Compression of Seismic Data by E. Magani, et al.
• Seismic Data Compression With Wavelets (in Chinese) by Z. Meng & L. Yang

Noise Suppression Issues

• 2-D Gabor transform filtering by Xingong Li
• Noise Suppression in Large Wavenumber Fourier Imaging by Lan Wang and Norman Bleistein
• Application of the wavelet transform to time-frequency filtering, multiples removal and lower crust frequency studies: 54th Mtg. Eur. Assoc. Expl Geophys., Abstracts, , 92, 188-189 by Rappin, Didier and de Bazelaire, Eric

General Seismic Applications

• Wavelet transform methods for geophysical applications: 64th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, , 94, 1465-1468 by Foster, Douglas J., Mosher, Charles C. and Hassanzadeh, Siamak
• Efficient migration with one-way operators in the wavelet transform domain: 65th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, , 95, 1240-1243 by Dessing, Frank J. and Wapenaar, C. P. A
• Application of wavelet transform to seismic data: 64th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, , 94, 725-728 by Chakraborty, Avijit and Okaya, David
• Application of the wavelet transform in seismic data processing: 64th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, , 94, 1461-1464 by Miao, X. G. and Moon, W. M
• A wavelet transform method for downward continuation: 62nd Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, , 92, 889-892 by LeBras, Ronan, Mellman, George and Peters, M

More Non-seismic Wavelet Transforms Information

Maintained by Zhaobo Meng, Phillips Petroleum Company. Any contributions of links of topics of seismic inversion with wavelet transforms to this lab is greatly appreciated. To contribute such materials, send comments or critiques, please mail to zmeng@einstein.ppco.edu
Last update: Jan. 27, 1999.