Scattering Techniques for the Geophysical Inverse Problem

We consider the inverse problem for the propagation of elastic waves in stratified media. The one-dimensional inverse problem for the propagation of shear waves is studied in the context of spectral theory. We generalize certain inverse scattering methods in quantum mechanics to determine the properties of the stratification from experimental knowledge gathered at the origin of the half-line. We further apply this method with some mathematical manipulations to arrive at a procedure to solve the inverse problem for a three-dimensional layered half space. This formulation of the problem lead to the complete and unique reconstruction of the depth dependences of the Lame parameters and the density from surface data. A discussion on the applicability of the proposed profile inversion method is given, and it is demonstrated with a numerical example.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Santosa, Fadil

• Applied Mechanics
• Geological Survey

Language dc:language

eng

Identifier

(UMI)AAI8108650

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/68514