Prediction of Fourier Amplitude Spectrum of Ground Motion in Mexico City from Subduction Thrust Earthquakes
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Abstract
Mexico City, one of the largest cities in the world, experiences frequent, devastating interplate earthquakes that originate on the subduction thrust along the Pacific coast of Mexico more than 250 km away. A notorious example is the 19 September 1985 Michoacán earthquake (Mw 8.0) which killed ~ 10,000 persons and caused wide-spread destruction in the city. The main cause of seismic damage in Mexico City is its subsoil that amplifies the ground motion. In view of the seismic hazard faced by the city, a reliable estimation of ground motion during future earthquakes is of vital importance. We present a new ground motion prediction equation (GMPE) for the Fourier amplitude acceleration spectrum (FAS) from subduction thrust earthquakes along the Pacific coast of Mexico at the reference station, CU, located in the firm zone of Mexico City. The GMPE is derived via Bayesian regression analysis and is based on an enlarged set of recordings (1965-2020; 40 earthquakes; 250 ≤ R≤ 500 km; 5 ≤ Mw ≤ 8.0). An important feature of the new GMPE is that it includes a term to model different attenuation along different ray paths. The inclusion of this term leads to a reduction in the aleatory variability of the GMPE, particularly at high frequencies. Since spectral amplification of seismic waves with respect to CU is known at many sites in the city, the FAS at these sites can be computed if it is known at CU. The new GMPE has been incorporated in a fully Fourier-based probabilistic seismic hazard analysis of Mexico City.
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References
Anderson, J. G., P. Bodin, J. Brune, J. Prince, S. K. Singh, R. Quass, and M. Oñate. (1986). Strong ground motion from the Michoacan, Mexico earthquake, Science 233, 1043-1049. doi: https://doi.org/10.1126/science.233.4768.1043
Arroyo, D., García, D., Ordaz, M., Mora, M. A., & Singh, S. K. (2010). Strong ground-motion relations for Mexican interplate earthquakes. Journal of Seismology, 14, 769-785. Doi: https://doi.org/10.1007/s10950-010-9200-0
Boore, D.M. (2003). Simulation of ground motion using the stochastic method. pure and applied geophysics, 160, 635-676. doi: https://doi.org/10.1007/PL00012553
Broemling, L.D., (1985). Bayesian Analysis of Linear Models. CRC Press. doi: https://doi.org/10.1201/9781315138145
Brune, J.N (1970). Tectonic stress and the spectra of seismic shear waves from earthquakes. Journal of Geophysical Research, 75(26), 4997-5009. doi: https://doi.org/10.1029/jb075i026p04997
Castro, R., S. K. Singh, and E. Mena (1988). An empirical model to predict Fourier amplitude spectra of horizontal ground motion. Earthquake Spectra, 4, 675-686. doi: https://doi.org/10.1193/1.1585497
Celebi, M., J. Prince, C. Dietel, M. Oñate, and G. Chavez (1987). The culprit in Mexico City-amplification of motions. Earthquake Spectra, 3(2), 315-328. doi: https://doi.org/10.1193/1.1585431
Cruz-Atienza, V. M. et al. (2016). Long duration of ground motion in the paradigmatic Valley of Mexico. Scientific Reports, 6, 38807. doi: https://doi.org/10.1038/srep38807
García, D., Singh, S. K., Herráiz, M., Ordaz, M., & Pacheco, J. F. (2005). Inslab earthquakes of central Mexico: peak ground-motion parameters and response spectra. Bulletin of the Seismological Society of America, 95(6), 2272-2282. doi: https://doi.org/10.1785/0120050072
Iglesias, A., S.K. Singh, J.F. Pacheco, L. Alcántara, M. Ortiz, and M. Ordaz (2003), Near-trench Mexican earthquakes have anomalously low peak acceleration. Bulletin of the Seismological Society of America, 93(2), 953-959. doi: https://doi.org/10.1785/0120020168
Joyner, W. J. and D. M. Boore (1986). On simulation of large earthquakes by Green´s functions addition of small earthquakes. En A. S, Boatwright J, Scholtz C H (Ed.) Earthquake Source Mechanics. (pp. 269-274). American Geophysical Union Monograph. doi: https://doi.org/10.1029/GM037p0269
Kanamori H, P. C. Jennings, S. K. Singh, and L. Astiz (1993). Estimation of strong ground motions in Mexico City expected for large earthquakes in the Guerrero seismic gap. Bulletin of the Seismological Society of America, 83(3), 811-829. doi: https://doi.org/10.1785/BSSA0830030811
Ordaz, M. and Singh, S.K., (1992). Source spectra and spectral attenuation of seismic waves from Mexican earthquakes, and evidence of amplification in the hill zone of Mexico City, Bulletin of the Seismological Society of America, 82(1), 24-43. doi: https://doi.org/10.1785/BSSA0820010024
Ordaz, M., S. K. Singh, and A. Arciniega (1994). Bayesian attenuation regressions: an application to Mexico City. Geophysical Journal International, 177(2), 335- 344. doi: https://doi.org/10.1111/j.1365-246X.1994.tb03936.x
Ordaz, M., J. Arboleda, and S. K. Singh (1995). A scheme of random summation of an empirical Green’s function to estimate ground motions from future large earthquakes. Bulletin of the Seismological Society of America. 85(6), 1635-1647. doi: https://doi.org/10.1785/BSSA0850061635
Ordaz, M., E. Reinoso, M. A. Jaimes, L. Alcántara, and C. Pérez (2017). High-resolution early earthquake damage assessment system for Mexico City based on a single-station. Geofísica Internacional. 56(1), 117-135. doi: https://doi.org/10.22201/igeof.00167169p.2017.56.1.1751
Rosenblueth, E. (1953). Teoría del diseño sísmico sobre mantos blandos. Ediciones ICA, Serie B 14, 3-12.
Shapiro, N.M., S.K. Singh, and J.F. Pacheco (1998). A fast and simple diagnostic method for identifying tsunamigenic earthquakes. Geophysical Research Letters. 25(20), 3911-3914. doi: https://doi.org/10.1029/1998GL900015
Singh, S. K., J. Lermo, T. Domínguez, M. Ordaz, J. M. Espinosa, E. Mena, and R. Quaas (1988a). A study of relative amplification of seismic waves in the Valley of Mexico with respect to a hill zone site (CU). Earthquake Spectra, 4(4), 653-674. doi: https://doi.org/10.1193/1.1585496
Singh, S. K., E. Mena, and R. Castro (1988b). Some aspects of source characteristics of 19 September 1985 Michoacan earthquake and ground motion amplification in and near Mexico City from the strong motion data. Bulletin of the Seismological Society of America. 78(2), 451-477. doi: https://doi.org/10.1785/BSSA0780020451
Singh, S.K., Arroyo, D., Pérez-Campos, X., Rodríguez, Q, and Iglesias, A. (2016). Fast identification of near-trench earthquakes along the Mexican subduction zone based on characteristics of ground motion in Mexico City. Bulletin of the Seismological Society of America. 106(5), 2071-2080, doi: https://doi.org/10.1785/0120160003
Singh, S.K., E. Reinoso, D. Arroyo, M. Ordaz, V. Cruz-Atienza, X. Pérez-Campos, A. Iglesias, and V. Hjörleifsdóttir (2018). Deadly intraslab Mexico earthquake of 19 September 2017 (Mw7.1): Ground motion and damage pattern in Mexico City. Seismological Research Letters, 89(6), 2193-2203, doi: https://doi.org/10.1785/0220180159
Singh, S.K., Plata-Martínez, R., Pérez-Campos, X., Espíndola, V., Arroyo, D. and Iglesias, A. (2019). Evidence of directivity during the earthquakes of 8 and 10 May 2014 (Mw 6.5, 6.1) in the Guerrero, Mexico seismic gap and some implications. Journal of Seismology, 23, 683-697. doi: https://doi.org/10.1007/s10950-019-09829-y
Singh, S. K., Iglesias Mendoza, A., Arroyo, D., Pérez-Campos, X., Ordaz, M., Mendoza, C., Corona-Fernández, R. D., Espíndola, V. H., González-Ávila, D., Martínez-López, R., Castro-Artola, O., Santoyo, M. A., & Franco, S. I. (2023). A Seismological study of the Michoacán-Colima, Mexico, Earthquake of 19 September 2022 (Mw7.6). Geofísica Internacional, 62(2), 445-465. doi: https://doi.org/10.22201/igeof.2954436xe.2023.62.2.1453