The factorization method for inverse acoustic scattering in a layered medium

2013 ◽  
Vol 29 (4) ◽  
pp. 045010 ◽  
Author(s):  
Oleksandr Bondarenko ◽  
Andreas Kirsch ◽  
Xiaodong Liu
Keyword(s):  
Layered Medium ◽  
Acoustic Scattering ◽  
Factorization Method

Fast Frequency-Domain Forward and Inverse Methods for Acoustic Scattering from Inhomogeneous Objects in Layered Media

2016 ◽  
Vol 24 (03) ◽  
pp. 1650008 ◽  
Author(s):  
Jing He Li ◽  
Qing Huo Liu
Keyword(s):  
Inverse Scattering ◽  
Large Scale ◽  
Layered Medium ◽  
Scattering Problem ◽  
Acoustic Scattering ◽  
Layered Media ◽  
Source Inversion ◽  
Multiple Frequency ◽  
Stable Convergence ◽  
Forward Solution

The fast scattering and inverse scattering algorithms for acoustic wave propagation and scattering in a layered medium with buried objects are an important research topic, especially for large-scale geophysical applications and for target detection. There have been increasing efforts in the development of practical, accurate, and efficient means of imaging subsurface target anomalies. In this work, the acoustic scattering problem in layered media is formulated as a volume integral equation and is solved by the stabilized bi-conjugate gradient fast Fourier transform (BCGS-FFT) method. By splitting the layered medium Green’s function interacting with the induced source into a convolution and a correlation, the acoustic fields can be calculated efficiently by the FFT algorithm. This allows both the forward solution and inverse solution to be computed with only [Formula: see text] computation time per iteration, where [Formula: see text] is the number of degrees of freedom. The inverse scattering is solved using a simultaneous multiple frequency contrast source inversion (CSI). The stable convergence of this inversion process makes the multiple frequency simultaneous CSI reconstruction practical for large acoustic problems. Some representative examples are shown to demonstrate the effectiveness of the forward and inverse solvers for acoustic applications.

Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid

2016 ◽  
Vol 19 (5) ◽  
pp. 1317-1342
Author(s):  
Tao Yin ◽  
Guanghui Hu ◽  
Liwei Xu
Keyword(s):  
Near Field ◽  
Scattering Problem ◽  
Acoustic Scattering ◽  
Elastic Solid ◽  
Field Measurements ◽  
Factorization Method ◽  
Music Algorithm ◽  
Incident Wavelength ◽  
Imaging Point ◽  
Necessary And Sufficient

AbstractConsider the time-harmonic acoustic scattering from an extended elastic body surrounded by a finite number of point-like obstacles in a fluid. We assume point source waves are emitted from arrayed transducers and the signals of scattered near-field data are recorded by receivers not far away from the scatterers (compared to the incident wavelength). The forward scattering can be modeled as an interaction problem between acoustic and elastic waves together with a multiple scattering problem between the extend solid and point scatterers. We prove a necessary and sufficient condition that can be used simultaneously to recover the shape of the extended elastic solid and to locate the positions of point scatterers. The essential ingredient in our analysis is the outgoing-to-incoming (OtI) operator applied to the resulting near-field response matrix (or operator). In the first part, we justify the MUSIC algorithm for locating point scatterers from near-field measurements. In the second part, we apply the factorization method, the continuous analogue of MUSIC, to the two-scale scattering problem for determining both extended and point scatterers. Numerical examples in 2D are demonstrated to show the validity and accuracy of our inversion algorithms.

Theory of block structure in the strength problem of galleries and constructions with multiple connections

2019 ◽  
Vol 484 (1) ◽  
pp. 29-34 ◽  
Author(s):  
V. A. Babeshko ◽  
O. V. Evdokimova ◽  
O. M. Babeshko ◽  
A. V. Pavlova ◽  
I. S. Telatnikov ◽  
...  
Keyword(s):  
Boundary Value Problem ◽  
Layered Medium ◽  
Block Structure ◽  
Boundary Value ◽  
Factorization Method ◽  
Strength Problem ◽  
Vector Problem

It is shown that the boundary-value problem for a layered medium with parallel multiple cavities is reduced to the Riemann vector problem. To solve it, a factorization method is developed, which makes possible to construct the solution to be built in arbitrary approximations.

scholarly journals On an Application of the Improved Maximum Product Criterion to Inverse Acoustic Scattering in a Layered Medium

2021 ◽  
Vol 09 (04) ◽  
pp. 661-682
Author(s):  
Fermin S. Viloche Bazán ◽  
Juliano de Bem Francisco ◽  
Koung Hee Leem ◽  
George Pelekanos ◽  
Vassilios Sevroglou
Keyword(s):  
Layered Medium ◽  
Acoustic Scattering
Sign in / Sign up

Export Citation Format

Share Document