TY - JOUR
T1 - A linear sampling method for near-field inverse problems in elastodynamics
AU - Fata, Sylvain Nintcheu
AU - Guzina, Bojan B.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/6
Y1 - 2004/6
N2 - The problem of reconstructing underground obstacles from near-field, surface seismic measurements is investigated within the framework of a linear sampling method. Although the latter approach has been the subject of mounting attention in inverse acoustics dealing with far-field wave patterns in infinite domains, there have apparently not been any attempts to apply this new method to the interpretation of near-field elastic wave forms such as those relevant to the detection of subterranean objects. Aimed at closing this gap, a three-dimensional inverse analysis of elastic waves scattered by an obstacle (or a system thereof), manifest in the surface ground motion patterns, is formulated as a linear integral equation of the first kind whose solution becomes unbounded in the exterior of the hidden scatterer. To provide a comprehensive theoretical foundation for this class of imaging solutions, generalization of the linear sampling method to near-field elastodynamics and semi-infinite domains is highlighted in terms of its key aspects. A set of numerical examples is included to illustrate the performance of the method. On replacing the featured elastodynamic half-space Green function by its free-space counterpart, the proposed study is directly applicable to infinite media as well.
AB - The problem of reconstructing underground obstacles from near-field, surface seismic measurements is investigated within the framework of a linear sampling method. Although the latter approach has been the subject of mounting attention in inverse acoustics dealing with far-field wave patterns in infinite domains, there have apparently not been any attempts to apply this new method to the interpretation of near-field elastic wave forms such as those relevant to the detection of subterranean objects. Aimed at closing this gap, a three-dimensional inverse analysis of elastic waves scattered by an obstacle (or a system thereof), manifest in the surface ground motion patterns, is formulated as a linear integral equation of the first kind whose solution becomes unbounded in the exterior of the hidden scatterer. To provide a comprehensive theoretical foundation for this class of imaging solutions, generalization of the linear sampling method to near-field elastodynamics and semi-infinite domains is highlighted in terms of its key aspects. A set of numerical examples is included to illustrate the performance of the method. On replacing the featured elastodynamic half-space Green function by its free-space counterpart, the proposed study is directly applicable to infinite media as well.
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U2 - 10.1088/0266-5611/20/3/005
DO - 10.1088/0266-5611/20/3/005
M3 - Article
AN - SCOPUS:3042618955
SN - 0266-5611
VL - 20
SP - 713
EP - 736
JO - Inverse Problems
JF - Inverse Problems
IS - 3
ER -