Frequency wavenumber approach of the tau-p transform: Some applications in seismic data processing
The tau-rho transform is an invertible transformation of seismic shot records expressed as a function of time and offset into the tau (intercept time) and rho (ray parameter) domain. The tau-rho transform is derived from the solution of the wave equation for a point source in a three-dimensional, vertically non-homogeneous medium and therefore is a true amplitude process for the assumed model. The main advantage of this transformation is to present a point source shot record as a series of plane wave experiments. The asymptotic expansion of this transformation is found to be useful in reflection seismic data processing. The tau-rho and frequency-wavenumber (or f-k) processes are closely related. Indeed, the tau-rho process embodies the frequency-wavenumber transformation, so the use of this technique suffers the same limitations as the f-k technique. In particular, the wavefield must be sampled with sufficient spatial density to avoid wavenumber aliasing. The tau-rho transform may create artifacts (truncation and aliasing effects) which can be reduced by a finer spatial density of geophone groups by a balancing of the seismic data and by a tapering of the extremities of the seismic data.
- Research Organization:
- Daniel Geophysical, Inc., Security Life Building, 1616 Glenarm, Denver, CO 80202
- OSTI ID:
- 5554741
- Journal Information:
- Geophys. Prospect.; (United States), Journal Name: Geophys. Prospect.; (United States) Vol. 35:5; ISSN GPPRA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
580203* -- Geophysics-- Geophysical Survey Methods-- (1980-1989)
AMPLITUDES
COMPUTERIZED SIMULATION
DATA PROCESSING
DIFFERENTIAL EQUATIONS
DISTRIBUTION
EQUATIONS
FOURIER TRANSFORMATION
FREQUENCY DEPENDENCE
GEOLOGIC MODELS
GEOPHYSICAL SURVEYS
INTEGRAL TRANSFORMATIONS
INTERPOLATION
MEASURING INSTRUMENTS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PROCESSING
SEISMIC ARRAYS
SEISMIC DETECTORS
SEISMIC SURVEYS
SEISMIC WAVES
SIMULATION
SPATIAL DISTRIBUTION
SURVEYS
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
WAVE EQUATIONS