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Splitting and working in the time domain
SPLITTING AND FULL SEPARATION
The heat-flow equation
Splitting
Full separation
Application to lateral velocity variation
Application to 3-d downward continuation
Separability of 3-d migration (Jakubowicz)
Separability in shot-geophone space
Validity of the splitting and full-separation concepts
RECURSIVE DIP FILTERS
Definition of a recursive dip filter
Recursive-dip-filter implementation
Side boundaries
Slicing pies
Higher dimensionality
RETARDED COORDINATES
Definition of independent variables
Definition of dependent variables
The chain rule and the high frequency limit
Fourier transforms in retarded coordinates
Interpretation of the modulated pressure variable Q
Einstein's special relativity theory
FINITE DIFFERENCING IN (t, x, z)-SPACE
Migration in (z, t)-space
(t,x,z)-Space, 15 degree Diffraction Program
You Can't Time Shift in the Time Domain.
(t,x,z)-Space, 45 degree equation
INTRODUCTION TO STABILITY
Stability of the explicit heat-flow equation
Explicit 15 degree migration equation
Implicit equations
Leapfrog equations
Tridiagonal equation solver
About this document ...
Stanford Exploration Project
10/31/1997