Articles | Volume 10, issue 2
Review article
11 Apr 2019
Review article |  | 11 Apr 2019

Green's theorem in seismic imaging across the scales

Kees Wapenaar, Joeri Brackenhoff, and Jan Thorbecke

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Subject area: Crustal structure and composition | Editorial team: Seismics, seismology, paleoseismology, geoelectrics, and electromagnetics | Discipline: Seismology
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Cited articles

Abe, S., Kurashimo, E., Sato, H., Hirata, N., Iwasaki, T., and Kawanaka, T.: Interferometric seismic imaging of crustal structure using scattered teleseismic waves, Geophys. Res. Lett., 34, L19305,, 2007. a
Aki, K.: Space and time spectra of stationary stochastic waves, with special reference to micro-tremors, Bull. Earthq. Res. Inst., 35, 415–457, 1957. a
Almagro Vidal, C., van der Neut, J., Verdel, A., Hartstra, I. E., and Wapenaar, K.: Passive body-wave interferometric imaging with directionally constrained migration, Geophys. J. Int., 215, 1022–1036, 2018. a
Anderson, B. E., Guyer, R. A., Ulrich, T. J., Le Bas, P.-Y., Larmat, C., Griffa, M., and Johnson, P. A.: Energy current imaging method for time reversal in elastic media, Appl. Phys. Lett., 95, 021907,, 2009. a
Bakulin, A. and Calvert, R.: The virtual source method: Theory and case study, Geophysics, 71, SI139–SI150, 2006. a
Short 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 these methods are based in some way or another on the same mathematical theorem. Starting with this theorem, we discuss a variety of classical and recent seismic imaging methods in a systematic way and explain their similarities and differences.