Common-angle migration and oriented waves in the Phase-Space (x, p)
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Data
2007-06
Autori
Bonomi, Ernesto
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Abstract
From the 3D phase-shift extrapolation of individual phase-space components, we derive for prestacked data a vector relation between kh, the horizontal offset wavenumber, and kz, the vertical one. While in 2D this relation depends only on the tangent of the scattering angle θ and not on the structural deep, in 3D, in general, this is no longer true. The resulting vector formula takes into account the orientation of the scattering plane containing the slowness vectors ps and pr, one describing the down-going wave and the other the up-going one.
For scattering events taking place on vertical planes, we recover the expected 2D result. In this special case, we have a complete theory, first, to construct the angle-domain, common-image gathers, one for each scattering angle θ, and, second, to retrieve from those the medium structure by adequately summing over all values of θ.
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Keywords
angle-domain , common-image gathers , oriented migration