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Contrast source inversion methods in elastodynamics.

George Pelekanos¹, Aria Abubakar, Peter M van den Berg

¹Department of Mathematics and Statistics, Southern Illinois University, Edwardsville, Illinois 62026, USA.

The Journal of the Acoustical Society of America

|December 3, 2003

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This study introduces a new nonlinear inversion method to determine the mass density of elastic inclusions using scattered elastic waves. The advanced algorithm effectively handles noisy data and preserves edges in complex elastodynamic inverse scattering problems.

Area of Science:

Geophysics
Applied Mathematics
Materials Science

Background:

Determining material properties of inclusions is crucial in various scientific fields.
Inverse scattering problems are challenging due to ill-posedness and noise.
Existing methods often struggle with complex elastic wave interactions.

Purpose of the Study:

To present a novel nonlinear inversion method for elastic inclusion mass density retrieval.
To extend the multiplicative regularized contrast source inversion (MR-CSI) method to elastodynamics.
To demonstrate the method's effectiveness in handling noisy and complex scattering data.

Main Methods:

Nonlinear inversion using an extension of the MR-CSI algorithm.
Iterative determination of mass density contrast and contrast sources.

Related Experiment Videos

Incorporation of an additional regularization term as a multiplicative constraint.

Main Results:

The MR-CSI method successfully determines the mass density of elastic inclusions.
The algorithm exhibits excellent edge-preserving properties.
Robust performance is demonstrated even with noisy data in complex elastodynamic scenarios.

Conclusions:

The presented MR-CSI method is highly effective for elastodynamic inverse scattering problems.
This approach offers a robust solution for characterizing elastic inclusions.
The method shows significant potential for geophysical and material science applications.