Green's theorem in seismic imaging across the scales

The earthquake seismology and seismic exploration communities have developed a variety of seismic imaging methods for passive- and active-source data. Despite the seemingly different approaches and underlying principles, many of those methods are based in some way or another on Green's theorem....

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Bibliographic Details
Published in:Solid earth (Göttingen) 2019-04, Vol.10 (2), p.517-536
Main Authors: Wapenaar, Kees, Brackenhoff, Joeri, Thorbecke, Jan
Format: Article
Language:English
Subjects:
Acoustics
Analysis
Back propagation
Earth science
Earthquakes
Green's function
Green's functions
Imaging techniques
Interferometry
Methods
Passive imaging
Seismic activity
Seismic exploration
Seismic response
Seismic tomography
Seismology
Telecommunications equipment
Theorems
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Summary:The earthquake seismology and seismic exploration communities have developed a variety of seismic imaging methods for passive- and active-source data. Despite the seemingly different approaches and underlying principles, many of those methods are based in some way or another on Green's theorem. The aim of this paper is to discuss a variety of imaging methods in a systematic way, using a specific form of Green's theorem (the homogeneous Green's function representation) as a common starting point. The imaging methods we cover are time-reversal acoustics, seismic interferometry, back propagation, source–receiver redatuming and imaging by double focusing. We review classical approaches and discuss recent developments that fully account for multiple scattering, using the Marchenko method. We briefly indicate new applications for monitoring and forecasting of responses to induced seismic sources, which are discussed in detail in a companion paper.
ISSN:1869-9529
1869-9510
1869-9529
DOI:10.5194/se-10-517-2019