Numerical studies of the statistics of seismic waveform propagation in random heterogeneous media

References

• Stanke FE, Burridge R. Comparison of spatial and ensemble averaging methods applied to wave propagation in finely layered media. Seg Technical Program Expanded Abstracts. 1949; 9: 1062.
   Google Scholar
• Kerner C. Anisotropy in sedimentary rocks modeled as random media. Geophysics. 1992;57:564–576.
   Web of Science ®Google Scholar
• Ikelle LT, Yung SK, Daube F. 2-D random media with ellipsoidal autocorrelation functions. Geophysics. 1993;58:1359–1372.
   Web of Science ®Google Scholar
• Sato H, Fehler MC, Maeda T. Seismic wave propagation and scattering in the heterogeneous earth. 2nd ed., New York: Springer; 2012.
   Google Scholar
• Bergmann PG. Propagation of radiation in a medium with random inhomogeneities. Phys Rev. 1946;70:486–492.
   Google Scholar
• Xi X, Yao Y. Non-stationary random medium model. Oil Geophysical Prospecting. 2005;40:71–75.
   Google Scholar
• Guo NC, Wang SX, Dong CH, et al. Description of small scale inhomogeneities in seismic prospecting and long-wavelength theory. Chinese Journal of Geophysics. 2012;55:2385–2401.
   Web of Science ®Google Scholar
• Sun YF. Pore structure effects on elastic wave propagation in rocks: AVO modelling. J Geophys Eng. 2004;1:268–276.
   Web of Science ®Google Scholar
• Wang YJ, Chen SQ, Wang L, et al. Modeling and analysis of seismic wave dispersion based on the rock physics model. J Geophys Eng. 2013;10:054001.
   Web of Science ®Google Scholar
• Li QY, Wu GC, Wu JL, et al. Finite difference seismic forward modeling method for fluid–solid coupled media with irregular seabed interface. J Geophys Eng. 2019;16:198–214.
   Web of Science ®Google Scholar
• Fan XP, Li QH, Yang CJ, et al. Spectral structure of velocity inhomogeneity of crust medium in Changbaishan Tianchi volcano. Chinese Journal of Geophysics. 2011;54:1215–1221.
   Web of Science ®Google Scholar
• Nakata N, Beroza G C. Stochastic characterization of mesoscale seismic velocity heterogeneity in Long Beach, California. Geophys J Int. 2015;203(3):2049–2054.
   Web of Science ®Google Scholar
• Aki K. Scattering and attenuation of shear waves in the lithosphere. J Geophys Res. 1980;85:6496–6504.
   Web of Science ®Google Scholar
• Wu RS, Aki K. Elastic wave scattering by a random medium and the small-scale inhomogeneities in the lithosphere. J Geophys Res. 1985;90:10261–10273.
   Web of Science ®Google Scholar
• Frankel A, Clayton RW. Finite difference simulations of seismic scattering: implications for the propagation of short-period seismic waves in the crust and models of crustal heterogeneity. J Geophys Res. 1986;91:6465–6489.
   Web of Science ®Google Scholar
• Tang XM, Li Z, Hei C, et al. Elastic wave scattering to characterize heterogeneities in the borehole environment. Geophys J Int. 2016;205:594–603.
   Web of Science ®Google Scholar
• Hei C, Tang XM, Li Z, et al. Elastic wave scattering and application in the borehole environment. Science China: Earth Sciences. 2016;46:118–126.
   Google Scholar
• Hei C, Xiao Z. Borehole elastic wave anisotropic scattering and application to hydraulic fracturing. Journal of Petroleum Science and Engineering. 2019;183:106405.
   Web of Science ®Google Scholar
• Lei H, Hei C, Luo M, et al. The effects of near well heterogeneities on single-well imaging: numerical studies. Waves Random Complex Media. 2019: 1–18. doi:10.1080/17455030.2019.1663958.
   Web of Science ®Google Scholar
• Sivaji C, Nishizawa O, Kitagawa G, et al. A physical-model study of the statistics of seismic waveform fluctuations in random heterogeneous media. Geophys J Int. 2002;148:575–595.
   Web of Science ®Google Scholar
• Pechmann JC, Kanamori H. Waveforms and spectra of preshocks and aftershocks of the 1979 Imperial Valley, California earthquake: evidence for fault heterogeneity. J Geophys Res. 1982;87:579–597.
   Google Scholar
• Thorbjarnadottir BS, Pechmann JC. Constraints on relative earthquake locations from cross-correlation of waveforms. Bull Seismol Soc Am. 1987;77:1626–1634.
   Web of Science ®Google Scholar
• Pullammanappallil S, Levander A, Larkin SP. Estimation of crustal stochastic parameters from seismic exploration data. Journal of Geophysical Research: Solid Earth. 1997;102:15269–15286.
   Web of Science ®Google Scholar
• Horike M, Takenchi Y. Possibility of spatial variation of high-frequency seismic motions due to random-velocity fluctuation of sediments. Bull Seismol Soc Am. 2000;90:48–65.
   Web of Science ®Google Scholar
• Hock S, Korn M. Random heterogeneity of the lithsphere across the trans European Suture Zone. Geophys J Int. 2002;141:57–70.
   Web of Science ®Google Scholar
• Lin FS, Zou ZH. Review and comparative study of waveform-similarity based teleseismic first-arrival picking methods. Progress in Geophysics (in Chinese). 2017;32:1597–1606.
   Google Scholar
• Zheng C, Ding ZF, Zhou XF, et al. Detection and analysis of repeating earthquakes in Guanxian-Anxian by using waveform cross-correlation. Acta Seismoliica Sinica. 2015;37:299–311. 370.
   Google Scholar
• Sato H. Attenuation and Envelope formation of three-component seismograms of small local earthquakes in randomly inhomogeneous lithosphere. J Geophys Res. 1984;89:1221–1241.
   Google Scholar
• Wennerberg L, Frankel A. Energy-flux model of seismic coda: separation of scattering and intrinsic attenuation. Bull Seismol Soc Am. 1987;77:1223–1251.
   Web of Science ®Google Scholar
• Hoshiba M. Separation of scattering attenuation and intrinsic absorption in Japan using the multiple lapse time window analysis of full seimogram envelope. J Geophys Res. 1993;98:15809–15824.
   Web of Science ®Google Scholar
• Mashinskii EI. Experimental study of the amplitude effect on wave velocity and attenuation in consolidated rocks under confining pressure. J Geophys Eng. 2005;2:199–212.
   Web of Science ®Google Scholar
• Menke W, Levin V, Sethi R. Seismic attenuation in the crust at the mid-Atlantic plate boundary in south-west Iceland. Geophys J Int. 1995;122:175–182.
   Web of Science ®Google Scholar
• Korn M. Modelling of the teleseismic P coda envelope: depth dependent scattering and deterministic structure. Phys Earth Planet Inter. 1997;104:23–36.
   Web of Science ®Google Scholar
• Wang BS, Sun DY, Li SJ, et al. The effect of heterogeneity on rock’ s ultrasonic attenuation and its correction. Earthquake Researchin in China. 2001;17:1–7.
   Google Scholar
• Aki K. Scattering of P waves under the Montana Lasa. J Geophys Res. 1973;78:1334–1346.
   Google Scholar
• Flatte SM, Wu RS. Small-scale structure in the lithosphere and asthenosphere deduced from arrival time and amplitude fluctuations at NORSAR. J Geophysical Research Atmospheres. 1988;93:6601–6614.
   Web of Science ®Google Scholar
• Sivaji C, Nishizawa O, Fukushima Y. Relationship between fluctuations of arrival time and energy of seismic waves and scale length of heterogeneity: an inference from experimental study. Bull Seismol Soc Am. 2001;91:292–303.
   Web of Science ®Google Scholar
• Liu CN, Wei JX, Di BR, et al. Experimental study of wave propagation in random media with different heterogeneity scales. J Geophys Eng. 2017;14:878–887.
   Web of Science ®Google Scholar
• Frankel A, Clayton RW. Finite difference simulations of seismic scattering’ Implications for the propagation of short-Period seismic waves in the Crust and models of Crustal heterogeneity. Journal of Geophysical Research-Solid Earth and Planets. 1986;91:6465–6489.
   Web of Science ®Google Scholar
• Korn M. Seismic waves in random media. J Appl Geophy. 1993;29:247–269.
   Web of Science ®Google Scholar
• Sano O, Kudo Y, Mizuta Y. Experimental determination of elastic constants of Oshima granite, Barre granite, and Chelmsford granite. Journal of Geophysical Research: Solid Earth. 1992;97:3367–3379.
   Web of Science ®Google Scholar
• Fukushima Y, Nishizawa O, Sato H, et al. Laboratory study on scattering characteristics of shear waves in rock samples. Bull Seismol Soc Am. 2003;93:253–263.
   Web of Science ®Google Scholar
• Hei C, Luo MZ, Gong PP, et al. Quantitative evaluation of bolt connection using a single piezoceramic transducer and ultrasonic coda wave energy with the consideration of the piezoceramic aging effect. Smart Mater Struct. 2020;29:027001.
   Web of Science ®Google Scholar
• Aki K, Richards PG. Quantitative seismology. San Francisco: Freeman; 1980.
   Google Scholar