Topographic Phase Shift with Applications to Migration and Multiple Prediction Ruiqing He University of Utah Feb. 2005
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration. 4.Application to multiple prediction. 5.Summary.
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration 4.Application to multiple prediction. 5.Summary.
Wavefield Extrapolation One-way wave-equation. - Phase-shift method (Gazdag, 1984). Iterative (depth-by-depth) implementation. Horizontal velocity variation: - PSPI, Split-step, Fourier-FD, etc. Irregular surfaces.
Reshef’s Approach for Topography Geophone line Datum lines
Issues with Reshef’s Approach Non-uniform geophone spacing problem
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration. 4.Application to multiple prediction. 5.Summary.
Topographic Phase-shift Method z = 0 z = Z(x)
Synthetic Test z = 0 z = Z(x)
A Part of SMAART DATA
Extrapolation to Water Bottom
Reconstruction
Waveform Comparison
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration. 4.Application to multiple prediction. 5.Summary.
Mapleton Land Seismic Data
Acquisition Geometry 20 m 78 m
Topographic Phase-shift Migration F2 F3 F4F5 f6
Waveform Tomography (Sheng and Buddensiek, 2004)
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration. 4.Application to multiple prediction. 5.Summary.
Water-layer Multiple (WLM) Major free-surface multiples in marine data. Can be very precisely predicted. Very few acquisition requirements. (even in a single shot gather).
Finite-difference Experiments Only one type WLM can be predicted. Unpredictable WLM resemble their predictable counterparts. Improvement can be made by using the receiver-side ghost rather than the data in the prediction.
Unocal Data COG (177m)
Predicted WLM
Waveform Comparison At a geophone above non-flat water bottom At a geophone above flat water bottom
WLM Attenuation
A Shot Gather
WLM Prediction in The Shot Gather
WLM Suppression in Shot Gather
A NMO Panel
A NMO Panel after Demultiple
Stack before Demultiple Offset (m) Time (S)
Stack after Demultiple Time (S) Offset (m)
Poststack Migration before Demultiple
Poststack Migration after Demultiple
3D Synthetic Experiment Sea Floor Reflector dy= 50 m dx= 25 m
3D Synthetic Data
WLM Prediction
WLM Suppression
Outline 1.Wavefield extrapolation. 2.Topographic phase-shift method. 3.Application to migration 4.Application to multiple prediction. 5.Summary.
Summary Topographic phase shift is efficient for wavefield extrapolation from irregular surfaces. It is useful for migration and multiple prediction, especially for large and 3D data sets.