Abstract
To understand steeply dipping events in seismic reflection interferometry (SRI), we derived an expression that describes the difference in travel time (Δτ) from a diffractor to two receivers in two dimensions. For a fixed receiver interval, the expression shows that Δτ is zero when the diffractor is at the midpoint of the paired receivers, increases with an apparent velocity of half the medium velocity as the diffractor moves toward either receiver, and remains constant for a diffractor located on the same side of both receivers. The horizontal portion of Δτ is slightly skewed during the normal moveout correction, yielding a maximum peak of the horizontally stacked trace at a slightly smaller time than Δτ. Accordingly, the diffracted waves have an apparent velocity slightly higher than half of the medium velocity in a horizontally stacked image. This conformed to virtual data for an elastic two-layer model with a vertical boundary. We then generalized the expression to three dimensions, in which listric travel time curves were predicted for an oblique edge diffractor, a vertex diffractor offline from the receiver pair, or a buried diffractor. Based on both two- and three-dimensional analyses of the edge diffractor, we tentatively interpreted the linear and listric dipping events observed in the passive SRI image across the Korean Peninsula to have been caused by diffractors near the intersection of the profile and geologic boundaries.
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References
Bakulin, A., & Calvert, R. (2004). The virtual source: New method for imaging and 4D below complex overburden. In 74th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts (pp. 2477–2480).
Bharadwaj, P., Schuster, G., Mallinson, I., & Dai, W. (2012). Theory of supervirtual refraction interferometry. Geophysical Journal International, 188, 263–273.
Bolshakov, O. A., Patterson, D. G., & Lan, C. (2011). Deep fracture imaging around the wellbore using dipole acoustic logging. In SPE Annual Technical Conference and Exhibition, Expanded Abstracts, SPE 146769.
Campillo, M., & Paul, A. (2003). Long-range correlations in the diffuse seismic coda. Science, 299, 547–549.
Červený, V. (2001). Seismic ray theory. Cambridge: Cambridge University Press.
Cho, K. H., Herrmann, R. B., Ammon, C. J., & Lee, K. (2007). Imaging the upper crust of the Korean peninsula by surface-wave tomography. Bulletin of the Seismological Society of America, 97(1B), 198–207.
Claerbout, J. (1968). Synthesis of a layered medium from its acoustic transmission response. Geophysics, 33, 264–269.
Clayton, R. W. (2018). Imaging the subsurface with ambient noise autocorrelations. In 88th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts (pp. 4852–4856).
Draganov, D., Campman, X., Thorbecke, J., Verdel, A., & Wapenaar, K. (2009). Reflection images from ambient seismic noise. Geophysics, 74, A63–A67.
Draganov, D., Wapenaar, K., & Thorbecke, J. (2004). Passive seismic imaging in the presence of white noise sources. The Leading Edge, 23, 889–892.
Dziewonski, A. M., & Anderson, D. L. (1981). Preliminary reference Earth model. Physics of the Earth and Planetary Interiors, 25(4), 297–356.
Grechka, V., & Zhao, Y. (2012). Microseismic interferometry. The Leading Edge, 31, 1405–1532.
Hron, F., & Chan, G. H. (1995). Tutorial on the numerical modelling of edge diffracted waves by the ray method. Studia Geophysics et Geodetica, 39, 103–137.
Kang, T. S., & Shin, J. S. (2006). Surface-wave tomography from ambient seismic noise of accelerograph networks in southern Korea. Geophysical Research Letters, 33, L17303-1–L17303-5.
Kennett, B. L. N., & Engdahl, E. R. (1991). Travel times for global earthquake location and phase association. Geophysical Journal International, 105, 429–465.
Kim, K. Y., Lee, J. M., Moon, W., Baag, C.-E., Jung, H., & Hong, M. H. (2006). Crustal structure of the southern Korean Peninsula from seismic waves generated by large explosions in 2002 and 2004. Pure and Applied Geophysics, 164, 97–113. https://doi.org/10.1007/s00024-006-0149-4.
Kim, K. Y., Park, I. S., & Byun, J. M. (2018). Characteristics of virtual reflection image in seismic interferometry using synthetic seismic data. Geophysics and Geophysical Exploration, 21, 94–102.
Klem-Musatov, K., Aizenberg, A. M., Pajchel, J., & Helle, H. B. (2008). Edge and Tip Diffractions—Theory and Applications in Seismic Prospecting. Geophysical Monograph Series n. 14. Tulsa: Society of Exploration Geophysicists.
Lin, F. C., Ritzwoller, M. H., & Snieder, R. (2009). Eikonal tomography: Surface wave tomography by phase front tracking across a regional broadband seismic array. Geophysical Journal International, 177, 1091–1110.
Luke, B., & Calderón-Macías, C. (2008). Scattering of surface waves due to shallow heterogeneities. In 78th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts (pp. 1283–1287).
Mikesell, D., Wijk, K. V., Calvert, A., & Haney, M. (2009). The virtual refraction: Useful spurious energy in seismic interferometry. Geophysics, 74, A13–A17.
Ruigrok, E., Campman, X., & Wapenaar, K. (2011). Extraction of P-wave reflection from microseisms. Comptes Rendus Geoscience, 343, 512–525.
Schuster, G. T. (2001). Theory of daylight/interferometric imaging: Tutorial: 63rd Conference and Technical Exhibition. European Assoc. Geoscientists and Engineers, Extended Abstracts, A32.
Schuster, G. T. (2009). Seismic interferometry. Cambridge: Cambridge University Press.
Snieder, R. (2004). Extracting the Green’s function from the correlation of coda waves: A derivation based on stationary phase. Physical Review E, 69, 046610–1–046610-8.
Song, Y. S., Kim, K. Y., Park, I. S., Byun, J. M., & Lee, J. W. (2018). Preliminary image of upper mantle structure beneath the Korean Peninsula by cross-correlation of seismic noise data. Geophysical Research Abstracts, EGU2018-6034.
Sun, W., & Kennet, B. (2017). Mid-lithosphere discontinuities beneath the western and central North China Craton. Geophysical Research Letters, 44, 1302–1310.
Wapenaar, K., Draganov, D., Snieder, R., Campman, X., & Verdel, A. (2010). Tutorial on seismic interferometry: Part 1—Basin principles and applications. Geophysics, 75, 75A195–75A209.
Yilmaz, Ö. (2001). Seismic Data Analysis (I): Processing, inversion, and interpretation of seismic data. Tulsa: Society of Exploration Geophysicists.
Acknowledgements
This work was supported by the Human Resources Development of the Korea Institute of Energy Technology Evaluation and Planning (KETEP) Grant funded by the Korea government Ministry of Knowledge Economy (No. 20194010201920), the Korea Meteorological Administration Research and Development Program under Grant KRIMPA 2015-7010, and the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2019R1A6A1A03033167). One of the authors, Youngseok Song, was supported by an NRF (National Research Foundation of Korea) Grant funded by the government of Korea (NRF-2017H1A2A1044244-Global Ph. D. Fellowship Program). We thank Dr. Soon Jee Seol for her helpful suggestions during the execution of this work.
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Song, Y., Kim, K.Y., Byun, J. et al. Adverse Effects of an Edge Diffractor in Seismic Reflection Interferometry. Pure Appl. Geophys. 177, 4719–4731 (2020). https://doi.org/10.1007/s00024-020-02531-y
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DOI: https://doi.org/10.1007/s00024-020-02531-y