d(r) d(r) = = m(x) m(x) G( G( s s |x) |x) G(x| G(x| r r ) ) [ [ ] ] * * * * T=0 T=0 Reverse Time Migration Reverse Time Migration Generalized Kirch. Migratio Generalized Kirch. Migratio Calc. Green’s Func. By FD solves Calc. Green’s Func. By FD solves = dot product data with hyperbola = dot product data with hyperbola Generalized Kirchhoff kernel Generalized Kirchhoff kernel Convolution of G( Convolution of G( s s |x) with G(x| |x) with G(x| r r ) ) QED: QED: RTM can now enjoy: RTM can now enjoy: Anti-aliasing filter Anti-aliasing filter Obliquity factor Obliquity factor Angle Gathers Angle Gathers UD Separation UD Separation Decomplexify Decomplexify back&forward back&forward
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D(r) = m(x) G(s|x) G(x|r) G(x|r) [] * * ,r,s Trial image pt x Direct wave Backpropagated traces T=0 Reverse Time Migration Generalized Kirch. Migration.
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Reverse Time MigrationReverse Time MigrationGeneralized Kirch. MigrationGeneralized Kirch. MigrationCalc. Green’s Func. By FD solvesCalc. Green’s Func. By FD solves
= dot product data with hyperbola= dot product data with hyperbolaGeneralized Kirchhoff kernelGeneralized Kirchhoff kernel
Convolution of G(Convolution of G(ss|x) with G(x||x) with G(x|rr))