A method is presented to calculate the elastodynamic Green's functions by using the equipartition principle. The imaginary parts are calculated as the average cross correlations of the displacement fields generated by the incidence of body and surface waves with amplitudes weighted by partition factors. The real part is retrieved using the Hilbert transform. The calculation of the partition factors is discussed for several geometrical configurations in two dimensional space: the full-space, a basin in a half-space and for layered media. For the last case, it results in a fast computation of the full Green's functions. Additionally, if the contribution of only selected states is desired, as for instance the surface wave part, the computation is even faster. Its use for full waveform inversion may then be advantageous.
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August 2016
August 24 2016
Green's function calculation from equipartition theorem Available to Purchase
Mathieu Perton;
Mathieu Perton
a)
Instituto de Ingeniería,
Universidad Nacional Autónoma de México
, C.U., Coyoacán 04510 CDMX, Mexico
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Francisco José Sánchez-Sesma
Francisco José Sánchez-Sesma
Instituto de Ingeniería,
Universidad Nacional Autónoma de México
, C.U., Coyoacán 04510 CDMX, Mexico
Search for other works by this author on:
Mathieu Perton
a)
Francisco José Sánchez-Sesma
Instituto de Ingeniería,
Universidad Nacional Autónoma de México
, C.U., Coyoacán 04510 CDMX, Mexico
a)
Current affiliation: CONACYT Fellow at Instituto de Geofísica de la Universidad Nacional Autónoma de México, Unidad de Morelia, México. Electronic mail: [email protected]
J. Acoust. Soc. Am. 140, 1309–1318 (2016)
Article history
Received:
January 23 2016
Accepted:
August 03 2016
Citation
Mathieu Perton, Francisco José Sánchez-Sesma; Green's function calculation from equipartition theorem. J. Acoust. Soc. Am. 1 August 2016; 140 (2): 1309–1318. https://doi.org/10.1121/1.4961208
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