Abstract
In the context of seismic monitoring, recent studies made successful use of seismic coda waves to image the lateral extent of medium changes. Locating the depth of the changes, however, remains a challenge. We use multiply scattered body- and surface-wave 3-D combined sensitivity kernels to address this problem. We show that we can locate velocity perturbations at depth with numerical data from elastic wave-field simulations in 3-D heterogeneous media. This procedure is then applied to assess the extent of the crustal damage due to the \(M_{\mathrm{w}}\) 7.9, 2008 Wenchuan earthquake. We discuss the potential and limitations of our approach to retrieve the depth information of temporal changes occurring in heterogeneous structures.
Similar content being viewed by others
References
Bettinelli, P., Avouac, J. P., Flouzat, M., Bollinger, L., Ramillien, G., Rajaure, S., et al. (2008). Seasonal variations of seismicity and geodetic strain in the Himalaya induced by surface hydrology. Earth and Planetary Science Letters, 266, 332–344.
Burchfiel, B. C., Royden, L. H., van der Hilst, R. D., Chen, Z., King, R. W., Li, C., et al. (2008). A geological and geophysical context for the Wenchuan earthquake of 12 May 2008, Sichuan, People’s Republic of China. GSA Today, 18(7), 5.
Carcione, J. M., & Tinivella, U. (2001). The seismic response to overpressure: A modelling study based on laboratory, well and seismic data. Geophysical Prospecting, 49, 523–539.
Chen, J. H., Froment, B., Liu, Q. Y., & Campillo, M. (2010). Distribution of seismic wave speed changes associated with the 12 May 2008 \(M_{\rm w}\) 7.9 Wenchuan earthquake. Geophysical Research Letters, 37(L18302), 1–4.
Chen, J. H., Liu, Q. Y., Li, S. C., Guo, B., Wang, J., & Qi, S. H. (2009). Seismotectonic study by relocation of the Wenchuan M(S)8.0 earthquake sequence. Chinese Journal of Geophysics-Chinese Edition, 52(2), 390–397.
Dvorkin, J., Mavko, G., & Nur, A. (1999). Overpressure detection from compressional- and shear-wave data. Geophysical Research Letters, 26(22), 3417–3420.
Fielding, E. J., Sladen, A., Li, Z., Avouac, J.-P., Bürgmann, R., & Ryder, I. (2013). Kinematic fault slip evolution source models of the 2008 M7. 9 Wenchuan earthquake in China from SAR interferometry, GPS and teleseismic analysis and implications for Longmen Shan tectonics. Geophysical journal international, 194(2), 1138–1166.
Froment, B. (2011). Utilisation du bruit sismique ambiant dans le suivi temporel de structures géologiques. PhD thesis, Université de Grenoble.
Froment, B., Campillo, M., Chen, J. H., & Liu, Q. Y. (2013). Deformation at depth associated with the May 12, 2008 \(M_{\rm w}\) 7.9 Wenchuan earthquake from seismic ambient noise monitoring. Geophysical Research Letters, 40, 78–82.
Grêt, A., Snieder, R., Aster, R. C., & Kyle, P. R. (2005). Monitoring rapid temporal change in a volcano with coda wave interferometry. Geophysical Research Letters, 32(6), L06304.
Hansen, P. C. (1992). Analysis of discrete ill-posed problems by means of the L-curve. SIAM Review, 34(4), 561–580.
Hennino, R., Tregoures, N., Shapiro, N. M., Margerin, L., Campillo, M., van Tiggelen, B. A., et al. (2001). Observation of equipartition of seismic waves. Physical Review Letters, 86(15), 3447–3450.
Hillers, G., Ben-Zion, Y., Landes, M., & Campillo, M. (2013). Interaction of microseisms with crustal heterogeneity: A case study from the San Jacinto fault zone area. Geochemistry, Geophysics, Geosystems, 14(7), 2182–2197.
Hillers, G., Husen, S., Obermann, A., Planès, T., Campillo, M., & Larose, E. (2015). Noise-based monitoring and imaging of aseismic transient deformation induced by the 2006 Basel reservoir stimulation. Geophysics, 80(4), KS51–KS68.
Kanu, C., & Snieder, R. (2015a). Numerical computation of the sensitivity kernel for monitoring weak changes with multiply scattered acoustic waves. Geophysical Journal International, 203(3), 1923–1936.
Kanu, C., & Snieder, R. (2015b). Time-lapse imaging of a localized weak change with multiply scattered waves using numerical-based sensitivity kernel. Journal of Geophysical Research: Solid Earth, 120(8), 5595–5605.
Komatitsch, D., & Tromp, J. (2002). Spectral-element simulations of global seismic wave propagation II. Three-dimensional models, oceans, rotation and self-gravitation. Geophysical Journal International, 150(1), 303–318.
Larose, E., Obermann, A., Digulescu, A., Planès, T., Chaix, J. F., Mazerolle, F., et al. (2015). Locating and characterizing a crack in concrete with LOCADIFF: A four-point bending test. The Journal of the Acoustical Society of America, 138(1), 232–241.
Larose, E., Planès, T., Rossetto, V., & Margerin, L. (2010). Locating a small change in a multiple scattering environment. Applied Physics Letters, 96(204101), 1–3.
Lee, W. S., Sato, H., & Lee, K. (2003). Estimation of S-wave scattering coefficient in the mantle from envelope characteristics before and after the ScS arrival. Geophysical Research Letters, 30(24), 2248–2252.
Lesage, P., Reyes-Dávila, G., & Arámbula-Mendoza, R. (2014). Large tectonic earthquakes induce sharp temporary decreases in seismic velocity in Volcán de Colima, Mexico. Journal of Geophysical Research: Solid Earth, 119(5), 4360–4376.
Lobkis, O. I., & Weaver, R. L. (2003). Coda-wave interferometry in finite solids: Recovery of P-to-S conversion rates in an elastodynamic billiard. Physical Review Letters, 90(254302), 1–4.
Margerin, L., Campillo, M., Shapiro, N. M., & van Tiggelen, B. (1999). Residence time of diffuse waves in the crust and the physical interpretation of coda Q. Application to seismograms recorded in Mexico. Geophysical Journal International, 138, 343–352.
Margerin, L., Planès, T., Mayor, J., & Calvet, M. (2016). Sensitivity kernels for coda-wave interferometry and scattering tomography: Theory and numerical evaluation in two-dimensional anisotropically scattering media. Geophysical Journal International, 204(1), 650–666.
Meunier, J., Huguet, F., & Meynier, P. (2001). Reservoir monitoring using permanent sources and vertical receiver antennae The Céré-la-Ronde case study. The Leading Edge, 20(6), 622–629.
Nakahara, H., & Carcolé, E. (2010). Maximum-likelihood method for estimating coda Q and the Nakagami-m parameter. Bulletin of the Seismological Society of America, 100(6), 3174–3182.
Nakata, N., & Beroza, G. C. (2015). Stochastic characterization of mesoscale seismic velocity heterogeneity in Long Beach, California. Geophysical Journal International, 203(3), 2049–2054.
Obermann, A., Froment, B., Campillo, M., Larose, E., Planès, T., Valette, B., et al. (2014). Seismic noise correlations to image structural and mechanical changes associated with the \(M_{\rm w}\) 7.9 2008 Wenchuan earthquake. Journal of Geophysical Research, 119(4), 3155–3168.
Obermann, A., Kraft, T., Larose, E., Wiemer, S., et al. (2015). Potential of ambient seismic noise techniques to monitor the St. Gallen geothermal site (Switzerland). Journal of Geophysical Research, 120(6), 4301–4316.
Obermann, A., Larose, E., Margerin, L., & Rossetto, V. (2014b). Measuring the scattering mean free path of Rayleigh waves on a volcano from spatial phase decoherence. Geophysical Journal International, 197, 435–442.
Obermann, A., Planès, T., Hadziioannou, C., & Campillo, M. (2016). Lapse-time-dependent coda-wave depth sensitivity to local velocity perturbations in 3-D heterogeneous elastic media. Geophysical Journal International, 207(1), 59–66.
Obermann, A., Planès, T., Larose, E., & Campillo, M. (2013a). Imaging pre- and co-eruptive structural and mechanical changes on a volcano with ambient seismic noise. Journal of Geophysical Research, 118(12), 6285–6294.
Obermann, A., Planès, T., Larose, E., Sens-Schönfelder, C., & Campillo, M. (2013b). Depth sensitivity of seismic coda waves to velocity perturbations in an elastic heterogeneous medium. Geophysical Journal International, 194(1), 372–382.
Paasschens, J. C. J. (1997). Solution of the time-dependent Boltzmann equation. Physical Review E, 56(1), 1135.
Pacheco, C., & Snieder, R. (2005). Time-lapse travel time change of multiply scattered acoustic waves. The Journal of the Acoustical Society of America, 118, 1300–1310.
Peng, Z., & Ben-Zion, Y. (2006). Temporal changes of shallow seismic velocity around the Karadere–Düzce branch of the north Anatolian fault and strong ground motion. Pure and Applied Geophysics, 163(2–3), 567–600.
Perton, M., Sánchez-Sesma, F., Rodríguez-Castellanos, A., Campillo, M., & Weaver, R. (2009). Two perspectives on equipartition in diffuse elastic fields in three dimensions. The Journal of the Acoustical Society of America, 126(3), 1125–1130.
Peter, D., Komatitsch, D., Luo, Y., Martin, R., Le Goff, N., Casarotti, E., et al. (2011). Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes. Geophysical Journal International, 186(2), 721–739.
Planès, T. (2013). Imagerie de changements locaux en régime de diffusion multiple. PhD thesis, Université de Grenoble.
Planès, T., Larose, E., Margerin, L., Rossetto, V., & Sens-Schönfelder, C. (2014). Decorrelation and phase-shift of coda waves induced by local changes: Multiple scattering approach and numerical validation. Waves in Random and Complex Media, 2(24), 1–27.
Planès, T., Larose, E., Rossetto, V., & Margerin, L. (2015). Imaging multiple local changes in heterogeneous media with diffuse waves. The Journal of the Acoustical Society of America, 2(137), 660–667.
Poupinet, G., Ellsworth, W. L., & Frechet, J. (1984). Monitoring velocity variations in the crust using earthquake doublets: An application to the Calaveras fault. California. Journal of Geophysical Research, 89(B7), 5719–5731.
Poupinet, G., Ratdomopurbo, A., & Coutant, O. (1996). On the use of earthquake multiplets to study fractures and the temporal evolution of an active volcano. Annals of Geophysics, 39, 253–264.
Rivet, D., Campillo, M., Shapiro, N. M., Cruz-Atienza, V., Radiguet, M., Cotte, N., et al. (2011). Seismic evidence of nonlinear crustal deformation during a large slow slip event in Mexico. Geophysical Research Letters, 38(L08308), 1–5.
Rossetto, V., Margerin, L., Planès, T., & Larose, E. (2011). Locating a weak change using diffuse waves: Theoretical approach and inversion procedure. Journal of Applied Physics, 109(034903), 1–11.
Roux, P., & Ben-Zion, Y. (2014). Monitoring fault zone environments with correlations of earthquake waveforms. Geophysical Journal International, 196(2), 1073–1081.
Sanchez, P., Obermann, A., Schimmel, M., et al. (2018). Detecting and locating precursory signals during the 2011 El Hierro, Canary Islands, submarine eruption. Geophysical Research Letters. https://doi.org/10.1029/2018GL079550.
Sato, H., & Nohechi, M. (2001). Envelope formation of long-period Rayleigh waves in vertical component seismograms: Single isotropic scattering model. Journal of Geophysical Research: Solid Earth, 106(B4), 6589–6594.
Schaff, D. P., & Beroza, G. C. (2004). Coseismic and postseismic velocity changes measured by repeating earthquakes. Journal of Geophysical Research, 109(B10302), 1–14.
Sens-Schönfelder, C., & Wegler, U. (2006a). Passive image interferometry and seasonal variations of seismic velocities at Merapi Volcano. Indonesia. Geophysical Research Letters, 33(21), L21302.
Sens-Schönfelder, C., & Wegler, U. (2006b). Radiative transfer theory for estimation of the seismic moment. Geophysical Journal International, 167(3), 1363–1372.
Takagi, R., Okada, T., Nakahara, H., Umino, N., & Hasegawa, A. (2012). Coseismic velocity change in and around the focal region of the 2008 Iwate-Miyagi Nairiku earthquake. Journal of Geophysical Research, 117(B06315), 1–19.
Tarantola, A., & Valette, B. (1982). Generalized nonlinear inverse problems solved using the least squares criterion. Reviews of Geophysics, 20(2), 219–232.
Tregourès, N. P., & van Tiggelen, B. A. (2002). Generalized diffusion equation for multiply scattered elastic waves. Waves in Random Media, 12, 21–38.
Ugalde, A., Villaseñor, A., Gaite, B., Casquero, S., Martí, D., Calahorrano, A., et al. (2013). Passive seismic monitoring of an experimental CO\(_2\) geological storage site in Hontomín (Northern Spain). Seismological Research Letters, 84(1), 75–84.
Weaver, R. L. (1982). On diffuse waves in solid media. The Journal of the Acoustical Society of America, 71, 1608–1609.
Weaver, R. L. (1985). Diffuse elastic waves at a free surface. The Journal of the Acoustical Society of America, 78, 131–136.
Weaver, R. L., Hadziioannou, C., Larose, E., & Campillo, M. (2011). On the precision of noise correlation interferometry. Geophysical Journal International, 185(3), 1384–1392.
Wu, C., Peng, Z., & Ben-Zion, Y. (2009). Non-linearity and temporal changes of fault zone site response associated with strong ground motion. Geophysical Journal International, 176(1), 265–278.
Xu, X. W., Wen, X. Z., Yu, G. H., Chen, G. H., Klinger, Y., Hubbard, J., et al. (2009). Coseismic reverse- and oblique-slip surface faulting generated by the 2008 \(M_{\rm w}\) 7.9 Wenchuan earthquake, China. Geology, 37(6), 515–518.
Zhang, P. Z., Wen, X. Z., Shen, Z. K., & Chen, J. H. (2010). Oblique, high-angle, listric-reverse faulting and associated development of strain: The Wenchuan earthquake of May 12, 2008, Sichuan, China. Annual Review of Earth and Planetary Sciences, 38, 353–382.
Zhang, Y., Planès, T., Larose, E., Obermann, A., Rospars, C., & Moreau, G. (2016). Diffuse ultrasound monitoring of stress and damage development on a 15-ton concrete beam. The Journal of the Acoustical Society of America, 139(4), 1691–1701.
Acknowledgements
The research leading to these results received funding from the European Community Seventh Framework Programme under grant agreement no. 608553 (Image) and the Swiss Federal Office of Energy with the project GEOBEST. The authors also want to thank the Leibniz-Rechenzentrum (LRZ) and Jens Oeser for access and support in using the SUPERMUC system at the LRZ. The work has benefited from discussions within the European Cooperation in Science and Technology (COST) action ES1401-TIDES, supported by COST. MC acknowledges the support of the European Research Council (ERC) under agreement no. 742335 (F-Image). The authors wish to thank Gregor Hillers and an anonymous reviewer for their very constructive and detailed comments that helped to significantly improve the manuscript, as well as the editor Yehuda Ben-Zion for his helpful suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Obermann, A., Planès, T., Larose, E. et al. 4-D Imaging of Subsurface Changes with Coda Waves: Numerical Studies of 3-D Combined Sensitivity Kernels and Applications to the \(M_{\mathrm{w}}\) 7.9, 2008 Wenchuan Earthquake. Pure Appl. Geophys. 176, 1243–1254 (2019). https://doi.org/10.1007/s00024-018-2014-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00024-018-2014-7