High-frequency perturbational analysis of the surface point-source response of a layered fluid

Fadil Santosa, William W. Symes

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We linearize the relation between the parameters (density and velocity profiles) of a layered fluid subject to a specified surface point traction and the precitically reflected part of its surface motion. We decompose the resulting linear map into a high-frequency leading term and a lower-order (smoother) remainder and show that the spectral analysis of the leading term may be described in terms of ray geometry. The leading term is generally well conditioned but may become poorly conditioned in low-velocity zones. These results imply stability estimates for the linearized acoustic reflection inversion problem as well as for the nonlinear problem and yield insight into the behavior of numerical algorithms for the determination of the density and velocity of a layered fluid from its surface response.

Original languageEnglish (US)
Pages (from-to)318-381
Number of pages64
JournalJournal of Computational Physics
Volume74
Issue number2
DOIs
StatePublished - Feb 1988

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