Abstract
Coda waves are sensitive to small changes in scattering media, in which multiple scattering and repeatedly sampling occur due to the changes. Coda wave interferometry (CWI) is a technique to monitor the changes in media by comparing the coda waves before and after perturbation. Doublet technique and stretching technique are two commonly used approaches based on cross correlation when CWI analysis is performed. However these two methods are time-consuming due to the involvement of cross correlation calculation. This paper presents a new CWI calculation approach using Taylor series expansion. The computation time is significantly reduced compared to the cross correlation based methods. This method is demonstrated on a numerical example as well as an experimental example. Comparison of the results between the stretch technique and the method proposed is presented, and the influences of different factors on the CWI analysis are discussed.
References
Snieder, R.: Coda Wave Interferometry. McGraw-Hill: Yearbook of Science and Technology, pp. 54–56. McGraw-Hill, New York (2004)
Snieder, R.: The theory of coda wave interferometry. Pure Appl. Geophys. 163, 455–473 (2006)
Herraiz, M., Espinosa, A.F.: Coda waves: a review. Pure Appl. Geophys. 125, 499–577 (1987)
Poupinet, G., Ellsworth, W.L., Frechet, J.: Monitoring velocity variations in the crust using earthquake doublets: an application to the Calaveras Fault, California. J. Geophys. Res. 89, 5719–5731 (1984)
Ratdomopurbo, A., Poupinet, G.: Monitoring a temporal change of seismic velocity in a volcano: application to the 1992 eruption of Mt. Merapi (Indonesia). Geophys. Res. Lett. 22, 775–778 (1995)
Snieder, R., Grêt, A., Douma, H., Scales, J.: Coda wave interferometry for estimating nonlinear behavior in seismic velocity. Science 295, 2253–2255 (2002)
Grêt, A., Snieder, R., Özbay, U.: Monitoring in situ stress changes in a mining environment with coda wave interferometry. Geophys. J. Int. 167, 504–508 (2006)
Sens-Schönfelder, C., Wegler, U.: Passive image interferometry and seasonal variations of seismic velocities at Merapi Volcano. Indonesia. Geophys. Res. Lett. 33, L21302 (2006)
Dai, S., Wuttke, F., Santamarina, J.C.: Coda wave analysis to monitor processes in soils. J. Geotech. Geoenviron. Eng. 139, 1504–1511 (2013)
Schurr, D.P., Kim, J.-Y., Sabra, K.G., Jacobs, L.J.: Damage detection in concrete using coda wave interferometry. NDT E Int. 44, 728–735 (2011)
Stähler, S.C., Sens-Schönfelder, C., Niederleithinger, E.: Monitoring stress changes in a concrete bridge with coda wave interferometry. J. Acoust. Soc. Am. 129, 1945–1952 (2011)
Zhang, Y., Abraham, O., Grondin, F., et al.: Study of stress-induced velocity variation in concrete under direct tensile force and monitoring of the damage level by using thermally-compensated Coda Wave Interferometry. Ultrasonics 52, 1038–1045 (2012)
Larose, E., Hall, S.: Monitoring stress related velocity variation in concrete with a 2 x 10(-5) relative resolution using diffuse ultrasound. J. Acoust. Soc. Am. 125, 1853–1856 (2009)
Lobkis, O., Weaver, R.: Coda-wave interferometry in finite solids: recovery of P-to-S conversion rates in an elastodynamic billiard. Phys. Rev. Lett. 90, 25–28 (2003)
Hadziioannou, C., Larose, E., Coutant, O., et al.: Stability of monitoring weak changes in multiply scattering media with ambient noise correlation: laboratory experiments. J. Acoust. Soc. Am. 125, 3688–3695 (2009)
Weaver, R.L., Hadziioannou, C., Larose, E., Campillo, M.: On the precision of noise correlation interferometry. Geophys. J. Int. 185, 1384–1392 (2011)
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The support from National Science Foundation of China (No. 51278420) is greatly appreciated.
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Liu, S., Zhu, J. & Wu, Z. Implementation of Coda Wave Interferometry Using Taylor Series Expansion. J Nondestruct Eval 34, 25 (2015). https://doi.org/10.1007/s10921-015-0300-1
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DOI: https://doi.org/10.1007/s10921-015-0300-1