Wave-Equation Angle-Domain Hessian

68th EAGE Conference and Exhibition incorporating SPE EUROPEC 2006(2006)

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摘要
A regularization in the reflection angle dimension (and, mor e generally in the reflection and azimuth angles) is necessary to stabilize the wave-equation inversion problem. The angle-domain Hessian can be computed from the subsurface-offset Hessian by an offset- to-angle transformation. This transformation can be done in the image space following the Sava and Fomel (2003) approach. To perform the inversion, the angle-domain Hessian matrix can be used explicitly, or implicitly as a chain of the offset-to-angle operator and the subsurface offset Hessian matrix.
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关键词
inverse problem,wave equation
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