High-Frequency Perturbational Analysis of the Surface Point-Source Response of a Layered Fluid
Symes, William W.
We linearize the relation between the density and velocity profiles of a layered fluid subject to a specified surface point traction, and study a precritical projection 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 behaviour of numerical algorithms for the determination of the density and velocity of layered fluid from its surface response.
Citable link to this pagehttps://hdl.handle.net/1911/101587
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