Paper:
Estimation of S-wave Velocity Profiles of Deep Sedimentary Layers in Metropolitan Lima Using Seismic Interferometry
Gerson Carrasco*1,
, Hiroaki Yamanaka*2, Zenon Aguilar*1
, Carlos Gonzales*1
, Hisao Kondo*3
, Hiroe Miyake*4
, and Kosuke Chimoto*5

*1Centro Peruano Japonés de Investigaciones Sísmicas y Mitigación de Desastres, Facultad de Ingeniería Civil, Universidad Nacional de Ingeniería (UNI)
Av. Tupac Amaru 1150, Rimac, Lima 15333, Peru
Corresponding author
*2Institute of Science Tokyo
Yokohama, Japan
*3Geological Survey of Japan, National Institute of Advanced Industrial Science and Technology
Tsukuba, Japan
*4Earthquake Research Institute, The University of Tokyo
Tokyo, Japan
*5Kagawa University
Takamatsu, Japan
Eight shear wave velocity profiles of deep sedimentary layers in Lima, Peru, were determined using seismic interferometry. To achieve this objective, seven high-sensitivity sensors monitoring continuous ground motion were installed. Sensor data allowed the extraction of Green’s functions through cross-correlation analysis in the frequency domain. It was determined that continuous recording data with a minimum of 2,000 h (equivalent to three months) is necessary to obtain a Green’s function approximation. Dispersion curves of surfaces from 0.3 to 2 s were obtained from maximum values of Green’s functions between two stations after applying Gaussian filters. Thus, obtaining deep soil profiles through the inversion of dispersion curves extended to periods of around 1 s is possible. Finally, the estimated profiles were verified by comparing their theoretical ellipticity curves with H/V spectral ratios of microtremors, finding a good match for periods up to 1 s. These profiles reach depths and S-wave velocities of up to 600 m and 3,000 m/s, respectively.
- [1] J. C. Villegas-Lanza et al., “Active tectonics of Peru: Heterogeneous interseismic coupling along the Nazca megathrust, rigid motion of the Peruvian Sliver, and Sub Andean shortening accommodation,” J. Geophys. Res. Solid Earth, Vol.121, No.10, pp. 7371-7394, 2016. https://doi.org/10.1002/2016JB013080
- [2] C. Walker, “Shaky colonialism: The 1746 Earthquake Tsunami in Lima, Peru, and its long aftermath,” Duke University Press, 2008. https://doi.org/10.2307/j.ctv1131dgp
- [3] C. Park, R. Miller, and J. Xia, “Multichannel analysis of surface waves,” Geophysics, Vol.64, No.3, pp. 800-808, 1999. https://doi.org/10.1190/1.1444590
- [4] Y. Nakamura, “A method for dynamic characteristics estimation of subsurface using microtremor on the ground surface,” Quarterly Report of Railway Technical Research, Vol.30, pp. 25-33, 1989.
- [5] G. Prieto, J. Lawrence, and G. Beroza, “Anelastic earth structure from the coherency of the ambient seismic field,” J. of Geophysical Research, Vol.114, Article No.B07303, 2009. https://doi.org/10.1029/2008JB006067
- [6] K. Chimoto and H. Yamanaka, “Tomographic analysis of surface wave slowness estimated with seismic interferometric processing of continuous microtremor data in the southern Kanto area, Japan,” BUTSURI-TANSA (Geophysical Exploration), Vol.64. pp. 331-343, 2011. https://doi.org/10.3124/segj.64.331
- [7] B. Gaite, “Analysis and applications of seismic noise in Mexico, Gulf of Mexico and Caribbean: Tomography of surface waves Rayleigh and Love,” Doctoral thesis, Complutense University of Madrid, 2013 (in Spanish).
- [8] C. Gonzales, A. Sifuentes, F. Lazares, S. Quispe, and K. Huera, “Vs profiles, H/V spectra and geotechnical classification as proxies of the soil dynamic behavior in Lima, Peru,” The 17th World Conf. on Earthquake Engineering, 2020. https://wcee.nicee.org/wcee/article/17WCEE/1g-0017.pdf
- [9] Peruvian-Japanese Center for Seismic Research and Disaster Mitigation (CISMID), “Seismic microzonation study of the Breña district,” Technical report, 2012 (in Spanish).
- [10] CISMID, “Risk analysis in urban areas of the Magdalena del Mar district,” Technical report, 2017 (in Spanish).
- [11] CISMID, “Seismic microzonation study and risk analysis in the study area located in La Victoria district,” Technical report, 2018 (in Spanish).
- [12] CISMID, “Seismic microzonation study of the Lince district,” Technical report, 2015 (in Spanish).
- [13] CISMID, “Seismic microzonation study of the Miraflores district,” Technical report, 2021 (in Spanish).
- [14] CISMID, “Seismic microzonation study of the San Isidro district,” Technical report, 2019 (in Spanish).
- [15] CISMID, “Seismic microzonation study of the San Borja district,” Technical report, 2019 (in Spanish).
- [16] CISMID, “Seismic microzonation study and risk analysis in the study area located in the district municipality of Santiago de Surco,” Technical report, 2016 (in Spanish).
- [17] J. Capon, “High-resolution frequency-wavenumber spectrum analysis,” Proc. of the IIEE, Vol.57, Issue 8, pp. 1408-1418, 1966. https://doi.org/10.1109/PROC.1969.7278
- [18] K. Aki, “Space time spectra of stationary stochastic waves, with special reference to microtremors,” Bulletin of Earthquake Research Institute, Vol.35, pp. 415-456, 1957.
- [19] I. Cho, T. Tada, and Y. Shinozaki, “A new method to determine phase velocities of Rayleigh waves from microseisms,” Geophysics, Vol.69, No.6, pp. 1535-1551, 2004. https://doi.org/10.1190/1.1836827
- [20] T. Tada, I. Cho, and Y. Shinozaki, “Beyond the SPAC method: Exploiting the wealth of circular-array methods for microtremor exploration,” Bulletin of the Seismological Society of America, Vol.97, No.6, pp. 2080-2095, 2007. https://doi.org/10.1785/0120070058
- [21] H. Yamanaka et al., “Earthquake ground motion observation for prediction of long-period strong motion in Lima, Peru,” Japan Earthquake Engineering Symp. (16JEES), 2023.
- [22] H. Yamanaka, K. Kato, K. Chimoto, and S. Tsuno, “Estimation of surface-wave phase velocity from microtremor observation using an array with a reference station,” Exploration Geophysics, Vol.46, Issue 3, pp. 267-275, 2015. https://doi.org/10.1071/EG14069
- [23] K. Chimoto and H. Yamanaka, “Effects of the durations of cross correlated microtremor records on broadband dispersion measurements using Seismic Interferometry,” Geophysics, Vol.79, pp. Q11-Q19, 2014. https://doi.org/10.1190/geo2013-0144.1
- [24] H. Yamanaka and H. Ishida, “Application of genetic algorithms to an inversion of surface-wave dispersion data,” Bulletin of the Seismological Society of America, Vol.86, No.2, pp. 436-444, 1996. https://doi.org/https://doi.org/10.1785/BSSA0860020436
- [25] J. Arce, “Geoelectrical structure of the Rìmac-Chillón subsoil,” Geological Society of Peru, 1984 (in Spanish).
- [26] S. Quispe, F. Lazares, and Z. Aguilar, “Explanation of why gravel deposits in the city of Lima, Peru present significant amplifications over long periods and their implication in the Peruvian Earthquake-Resistant Technical Standard,” Proc. of the XVI PCSMGE, 2019 (in Spanish).
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