Foreword
Author
Acknowledgment
References
Fourier Transform
Introduction Fourier Transform
Convolution product : application to the translation of a wavelet
Convolution with reflectivity function
Velocity correction: applied to a georadar (GPR) section
Two dimensional Fourier transform
Common Functions
Introduction Common Functions
Dirac
The boxcar function and its Fourier transform
Carrier and envelope
The Dirac Comb function
Multiplication by a Dirac comb function
Sampling
Introduction Sampling
Respected Shannon limit
Phase of the FT of a Dirac
Sub-sampling a seismic section in time and spectral aliasing
Correlation
Introduction Correlation
Autocorrelation of a signal composed of 2 delayed Diracs
Intercorrelation, measurement of the delay in a VSP
Autocorrelation of a frequency sweep
Vibro-seismic soundings
Wave separation
Introduction Wave separation
Filtering by singular value decomposition SVD
Wave separation in borehole seismics by the SVD method
Detection of cracks in a concrete block
Vertical Seismic Profile
Selection of a Rayleigh wave by a polarization filter
Seismic applications
Introduction Seismic applications
Processing of a shot point
Dispersion analysis of Rayleigh waves
Love Waves
Refraction - Reflection seismic survey
Seismic processing with an industrial software
Processing of a 3D shot point
VSP processing
Marine vibrator
Multi component OBS
Dispersion Analysis with OBS data
Rayleigh waves: f-k filtering
Rayleigh waves: dispersion analysis
Rayleigh waves: SVD filtering
Rayleigh waves: SMF filtering
The Hilbert transformation
Introduction The Hilbert transformation
Hilbert transform and envelope computation
Hilbert transform and phase change
Hilbert transform and instantaneous frequency
Hilbert transform and analytic signal
Hilbert transform and polarization
Polarization filter
Measurement of group and phase velocities
Zero phase georadar section
Filtering
Introduction Filtering
Boxcar filters
a first order MA filter
a first order AR filter
a second order MA filter
a second order AR filter
a Butterworth ARMA filter
Inverse filter
AR2 inverse filter
Wiener filter: spiking deconvolution
Wiener filter: Study of the variability of a seismic section
Wiener filter: predictive deconvolution
Near Surface Geophysics
Introduction Near Surface Geophysics
3D seismic survey
3C VSP at well C1
VSP with a hydrophone at well C1
VSP with a hydrophone at well M3
VSP with a hydrophone at well M20
Acoustic logging at well M20
Flows
3D Imaging
VSP and depth conversion
Acoustic logging and cementing
Calibration and Synthetic seismograms
Stochastic Signal Processing
Introduction Stochastic Signal Processing
The Theory of regionalized variables
Probability models
Variograms
Kriging
Simulations
Spatial Data Quality Assessment
Spatial Data Conditioning
Stochastic wave separation
Stochastic Stack
Depth conversion
Attributes
Introduction Attributes
Envelope
RMS Amplitude
Instantaneous Phase
Instantaneous Frequency
Dip & Azimuth
Coherency
Seismic applications
> Rayleigh waves: f-k filtering
Subject
The way to do
Used Formulae
Subject
The way to do
Used Formulae