340 likes | 341 Views
Time-shift imaging condition. Paul Sava & Sergey Fomel Bureau of Economic Geology University of Texas at Austin. Imaging sketch. Wavefield reconstruction. Source wavefield. Receiver wavefield. Imaging condition. Image. Angle decomposition. Angle-dependent reflectivity. R. S.
E N D
Time-shift imaging condition Paul Sava & Sergey Fomel Bureau of Economic Geology University of Texas at Austin paul.sava@beg.utexas.edu
Imaging sketch Wavefield reconstruction Source wavefield Receiver wavefield Imaging condition Image Angle decomposition Angle-dependent reflectivity R S paul.sava@beg.utexas.edu
Wavefield reconstruction paul.sava@beg.utexas.edu
Wavefield reconstruction R S Source wavefield Receiver wavefield Reverse-time extrapolation Kirchhoff integral Wavefield extrapolation … paul.sava@beg.utexas.edu
Imaging condition paul.sava@beg.utexas.edu
Conventional imaging condition source wavefield receiver wavefield image position time paul.sava@beg.utexas.edu
Conventional imaging condition Claerbout (1985) position time paul.sava@beg.utexas.edu
Conventional imaging condition position frequency paul.sava@beg.utexas.edu
Conventional imaging condition example distance depth paul.sava@beg.utexas.edu
Space-shift imaging condition source wavefield receiver wavefield image position space-shift time paul.sava@beg.utexas.edu
Space-shift imaging condition Rickett & Sava (2002) Biondi & Symes (2004) Sava & Fomel (2005) position space-shift time paul.sava@beg.utexas.edu
Space-shift imaging condition position space-shift frequency paul.sava@beg.utexas.edu
Space-shift imaging condition example distance depth paul.sava@beg.utexas.edu
Time-shift imaging condition source wavefield receiver wavefield image position time-shift time paul.sava@beg.utexas.edu
Time-shift imaging condition position time-shift time paul.sava@beg.utexas.edu
Time-shift imaging condition position time-shift frequency paul.sava@beg.utexas.edu
Time-shift imaging condition example distance depth paul.sava@beg.utexas.edu
Imaging condition: example 1 distance t h space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Imaging condition: example 2 distance t h space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Imaging condition summary space-shift time-shift paul.sava@beg.utexas.edu
Angle decomposition paul.sava@beg.utexas.edu
Angle decomposition pr 2q pm ph ps Space-shift Time-shift paul.sava@beg.utexas.edu
Vector geometry pr 2q pm ph ps Space-shift Time-shift paul.sava@beg.utexas.edu
Image-space angle decomposition Space-shift Time-shift paul.sava@beg.utexas.edu
Angle decomposition algorithm Space-shift Time-shift paul.sava@beg.utexas.edu
Space-shift angle decomposition example distance depth paul.sava@beg.utexas.edu
Time-shift angle decomposition example distance depth paul.sava@beg.utexas.edu
Angle decomposition: example 1 distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Angle decomposition: example 2 distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Correct velocity distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Incorrect velocity distance q q space-shift time-shift depth depth depth paul.sava@beg.utexas.edu
Angle decomposition summary distance t q q h depth depth depth depth depth paul.sava@beg.utexas.edu
Angle decomposition summary distance t q q h depth depth depth depth depth paul.sava@beg.utexas.edu
Summary • Imaging condition and angle-decomposition • time-shifts of source/receiver wavefields • cheaper than space-shift imaging • storage • computations • wide applicability • migration by wavefield extrapolation • Kirchhoff migration • reverse-time migration paul.sava@beg.utexas.edu