Abstract
In this work we studied the performance of different numerical approaches to simulate the large amplifications of long period earthquake ground motion within the Gubbio plain, a closed-shape intra-mountain alluvial basin of extensional tectonic origin in Central Italy, observed during the Umbria-Marche 1997 seismic sequence. Particularly, referring to the Sep 26 1997 Mw6.0 mainshock, we considered the following numerical approximations: (a) 3D model, including a kinematic model of the extended seismic source, a layered crustal structure, and the basin itself with a simplified homogeneous velocity profile; (b) 2D model of a longitudinal and transversal cross-section of the basin, subject to vertical and oblique incidence of plane waves with time dependence at bedrock obtained by the 3D simulations; (c) 1D model. 3D and 2D numerical simulations were carried out using the spectral element code GeoELSE, exploiting in 3D its implementation in parallel computer architectures. 3D numerical simulations were successful to predict the observed large amplification of ground motion at periods beyond about 1 s, due to the prominent onset of surface waves originated at the southern edge of the basin and propagating northwards. More specifically, the difference of 3D vs 2D results is remarkable, since the latter ones fail to approach such large amplification levels, even when an oblique incidence of plane waves is considered.
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References
Bielak J, Loukakis K, Hisada H, Yoshimura C (2003) Domain reduction method for three-dimensional earthquake modeling in localized regions, part I: theory. Bull Seismol Soc Am 93(2): 817–824
Bindi D, Parolai S, Cara F, Di Giulio G, Ferretti G, Luzi L, Monachesi G, Pacor F, Rovelli A (2009) Site amplification observed in the Gubbio basin, Central Italy: hints for lateral propagation effects. Bull Seismol Soc Am 99(2A): 741–760
Bindi D, Luzi L, Massa M, Pacor F (2010) Horizontal and vertical ground motion prediction equations derived from the Italian Accelerometric Archive (ITACA). Bull Earthquake Eng 8: 1209–1230
Bindi D, Luzi L, Pacor F, Paolucci R (2011) Identification of accelerometric stations in ITACA with anomalous seismic response. Bull Earthquake Eng. This special issue
Casarotti E, Stupazzini M, Lee S, Komatitsch D, Piersanti A, Tromp J (2007) CUBIT and seismic wave propagation based upon the spectral-element method: an advanced unstructured mesher for complex 3D geological media. In: Brewer ML and Marcum D (eds) Proceedings of 1th international meshing roundtable. Springer, New York
Cauzzi C, Faccioli E (2008) Broadband (0.05 to 20 s) prediction of displacement response spectra based on worldwide digital records. J Seismol 12: 453–475
Choi Y, Stewart J, Graves R (2005) Empirical model for basin effects accounts for basin depth and source location. Bull Seismol Soc Am 95(4): 1412–1427
Day SM, Graves R, Bielak J, Dreger D, Larsen S, Olsen KB, Pitarka A, Ramirez-Guzman L (2008) Model for basin effects on long-period response spectra in Southern California. Earthq Spectra 24: 257–277
Faccioli E, Maggio F, Paolucci R, Quarteroni A (1997) 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method. J Seismol 1(3): 237–251
Fletcher JB, Wen KL (2005) Strong ground motion in the taipei basin from the 1999 Chi-Chi, Taiwan, earthquake. Bull Seismol Soc Am 95(4): 1428–1446
Fishman KL, Ahmad S (1995) Seismic response for alluvial valleys subjected to SH, P and SV waves. Soil Dyn Earthq Eng 14: 249–258
Furumura T, Hayakawa T, Nakamura M, Koketsu K, Baba T (2008) Development of Long-period Ground Motions from the Nankai Trough, Japan, Earthquakes: Observations and Computer Simulation of the 1944 Tonankai (MW8.1) and the 2004 SE Off-Kii Peninsula (MW7.4) Earthquakes. Pure Appl Geophys: 1–23
Furumura T, Hayakawa T (2007) Anomalous propagation of long-period ground motions Recorded in Tokyo during the 23 October 2004 MW 6.6 Niigata-ken Chuetsu, Japan, Earthquake. Bull Seismol Soc Am 97(3): 863–880
Graves RW, Pitarka A, Somerville PG (1998) Ground-motion amplification in the Santa Monica area: effects of shallow basin-edge structure. Bull Seismol Soc Am 88(5): 1224–1242
Graves RW, Wald DJ (2004) Observed and simulated ground motions in the San Bernardino basin region for the hector mine, California, earthquake. Bull Seismol Soc Am 94(1): 131–146
Hartzell S, Frazier GA, Brune JN (1978) Earthquake modeling in a homogeneous half-space. Bull Seismol Soc Am 68: 301–316
Haskell NA (1953) The dispersion of surface waves on multilayered media. Bull Seismol Soc Am 43(1): 17
Hernandez B, Cocco M, Cotton F, Stramondo S, Scotti O, CourboulexF Campillo M, Campillo F (2004) Rupture history of the 1997 Umbria-Marche (Central Italy) main shocks from the inversion of GPS, DInSAR and near field strong motion data. Ann Geophys 47: 1355–1376
Koketsu KM, Miyage H (2008) A seismological overview of long-period ground motion. J Seismol 12: 133–143
Koketsu K, Hatayama K, Furumura T, Ikegami Y, Akiyama S (2005) Damaging long-period ground motions from the 2003 MW 8.3 Tokachi-oki, Japan, earthquake. Seismol Res Lett 76: 67–73
Komatitsch D, Vilotte JP (1998) The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bull Seismol Soc Am 88: 368–392
Kosloff R, Kosloff D (1986) Absorbing boundaries for wave propagation problems. J Comp Phys 63: 363–376
Liu SW, Datta SK, Bouden M, Shah AH (1991) Scattering of obliquely incident seismic waves by a cylindrical valley in a layered half-space. Earthq Eng Struct Dyn 20: 859–870
Mai M (2004) SRCMOD: online database of finite source rupture models, http://www.seismo.ethz.ch/srcmod/
Mirabella F, Ciaccio MG, Barchi MR, Merlini S (2004) The Gubbio normal fault (Central Italy): geometry, displacement distribution and tectonic evolution. J Struct Geol 26: 2233–2249
Miyake H, Koketsu K (2005) Long-period ground motions from a large offshore earthquake: the case of the 2004 off the Kii peninsula earthquake, Japan. Earth Planets Space 57: 203–207
Olsen KB, Nigbor R, Konno T (2000) 3D viscoelastic wave propagation in the upper borrego valley, California, constrained by borehole and surface data. Bull Seismol Soc Am 90: 134–150
Pacor F, Bindi D, Luzi L, Parolai S, Marzorati S, Monachesi G (2007) Characteristics of strong ground motion data recorded in the Gubbio sedimentary basin (Central Italy). Bull Earthquake Eng 5: 27–43
Paolucci R (1999) Numerical evaluation of the effect of cross-coupling of different components of ground motion in site response analyses. Bull Seismol Soc Am 89(4): 877–887
Paolucci R, Maffeis A, Scandella L, Stupazzini M, Vanini M (2003) Numerical prediction of low-frequency ground vibrations induced by high-speed trains at Ledsgaard, Sweden. Soil Dyn Earthq Eng 23: 425–433
Paolucci R, Spinelli D (2006) Ground motion induced by train passage. ASCE J Eng Mech 132(2): 201–210
Paolucci R, Pacor F, Puglia R, AmeriG, Cauzzi C, MassaM (2010) Record processing in ITACA, the newItalian strong-motion database. In: Akkar S et al (ed) Earthquake data in engineering seismology, Chapter 8, Geotechnical, Geological and Earthquake Engineering, 14. Springer, pp 99–113
Pucci S, De Martini M, Pantosti D, Valensise G (2003) Geomorphology of the Gubbio basin (Central Italy): understanding the active tectonics and earthquake potential. Ann Geophys 46(5): 837–864
Smerzini C (2010) The earthquake source in numerical modeling of seismic wave propagation in heterogeneous earth’s media. PhD thesis, ROSE School, IUSS, Pavia, Italy
Steidl JH, Tumarkin AG, Archuleta RJ (1996) What is a reference site?. Bull Seismol Soc Am 86(6): 1733–1748
Stupazzini M, Paolucci R, Igel H (2009) Near-fault earthquake ground motion simulation in the Grenoble Valley by a high-performance spectral element code. Bull Seismol Soc Am 99(1): 286–301
Thomson WT (1950) Transmission of elastic waves trough a stratified solid medium. J Appl Phys 21: 89–93
Wald DJ, Graves RW (1998) The seismic response of the Los Angeles basin, California. Bull Seismol Soc Am 88(2): 337–356
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Smerzini, C., Paolucci, R. & Stupazzini, M. Comparison of 3D, 2D and 1D numerical approaches to predict long period earthquake ground motion in the Gubbio plain, Central Italy. Bull Earthquake Eng 9, 2007–2029 (2011). https://doi.org/10.1007/s10518-011-9289-8
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DOI: https://doi.org/10.1007/s10518-011-9289-8