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Line-source simulation for shallow-seismic data. Part 1: theoretical background

Forbriger, Thomas ORCID iD icon 1; Groos, Lisa 1; Schäfer, Martin 1
1 Geophysikalisches Institut (GPI), Karlsruher Institut für Technologie (KIT)

Abstract:

Equivalent line-source seismograms can be obtained from shallow seismic field recordings by (1) convolving the waveforms with sqrt(1/t), (2) applying a sqrt(1/t) time-domain taper, where t is traveltime and (3) scaling the waveform with r_offset*sqrt(2), where roffset is source-to-receiver offset. We require such a procedure when applying algorithms of 2-D adjoint full-waveform inversion (FWI) to shallow-seismic data. Although derived from solutions for acoustic waves in homogeneous full space this simple procedure performs surprisingly well when applied to vertical and radial components of shallow-seismic recordings from hammer blows or explosions. This is the case even in the near field of the force, although the procedure is derived from a far-field approximation. Similar approximative procedures recommended in literature are optimized for reflected waves and do not convert the amplitudes of all shallow seismic wavefield constituents equally well. We demonstrate the suitability of the proposed method for the viscoelastic case by numerical examples as well as analytical considerations. In contrast to the proposed single-trace procedure, integral-transform approaches are exact for all viscoelastic wavefield constituents of the near- and far-field in unknown 1-D-heterogeneous structure. ... mehr


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Originalveröffentlichung
DOI: 10.1093/gji/ggu199
Scopus
Zitationen: 62
Dimensions
Zitationen: 61
Zugehörige Institution(en) am KIT Geophysikalisches Institut (GPI)
KIT-Zentrum Klima und Umwelt (ZKU)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2014
Sprache Englisch
Identifikator ISSN: 0956-540X
KITopen-ID: 1000042249
Erschienen in Geophysical Journal International
Verlag Oxford University Press (OUP)
Band 198
Heft 3
Seiten 1387-1404
Nachgewiesen in Dimensions
Scopus
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