Low-frequency scaling applied to stochastic finite-fault modeling

Journal of Seismology - 2013
Stephen Crane1, Dariush Motazedian1
1Department of Earth Sciences, Carleton University, Ottawa, Canada

Tóm tắt

Stochastic finite-fault modeling is an important tool for simulating moderate to large earthquakes. It has proven to be useful in applications that require a reliable estimation of ground motions, mostly in the spectral frequency range of 1 to 10 Hz, which is the range of most interest to engineers. However, since there can be little resemblance between the low-frequency spectra of large and small earthquakes, this portion can be difficult to simulate using stochastic finite-fault techniques. This paper introduces two different methods to scale low-frequency spectra for stochastic finite-fault modeling. One method multiplies the subfault source spectrum by an empirical function. This function has three parameters to scale the low-frequency spectra: the level of scaling and the start and end frequencies of the taper. This empirical function adjusts the earthquake spectra only between the desired frequencies, conserving seismic moment in the simulated spectra. The other method is an empirical low-frequency coefficient that is added to the subfault corner frequency. This new parameter changes the ratio between high and low frequencies. For each simulation, the entire earthquake spectra is adjusted, which may result in the seismic moment not being conserved for a simulated earthquake. These low-frequency scaling methods were used to reproduce recorded earthquake spectra from several earthquakes recorded in the Pacific Earthquake Engineering Research Center (PEER) Next Generation Attenuation Models (NGA) database. There were two methods of determining the stochastic parameters of best fit for each earthquake: a general residual analysis and an earthquake-specific residual analysis. Both methods resulted in comparable values for stress drop and the low-frequency scaling parameters; however, the earthquake-specific residual analysis obtained a more accurate distribution of the averaged residuals.

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Tài liệu tham khảo

Abell JA, de la Llera JC, Wicks CW (2011) Enhancement of long period components of recorded and synthetic ground motions using InSar. Soil Dyn Earthq Eng 31:817–829

Aki K (1967) Scaling law of seismic spectrum. J Geophys Res 72:1217–1231

Ameri G, Emolo A, Pacor F, Callovic F (2011) Ground-motion simulations for the 1980 M 6.9 Irpinia Earthquake (Southern Italy) and scenario events. Bull Seism Soc Am 101:1136–1151

Anderson JG, Hough SE (1984) A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies. Bull Seism Soc Am 74:1969–1993

Assatourians K, Atkinson GM (2007) Modeling variable-stress distribution with the stochastic finite-fault technique. Bull Seism Soc Am 97:1935–1949

Atkinson GM (2009) Earthquake time histories with the 2005 National building code of Canada uniform hazard spectrum. Can J Civ Eng 36:991–1000

Atkinson GM, Boore DM (1995) Ground-motion relations for eastern North America. Bull Seism Soc Am 85:17–30

Atkinson GM, Boore DM (2006) Earthquake ground-motion prediction equations for eastern North America. Bull Seism Soc Am 96:2181–2205

Atkinson GM, Assatourians K, Boore DM, Campbell K, Motazedian D (2009) A guide to differences between stochastic point-source and stochastic finite-fault simulations. Bull Seism Soc Am 99:3192–3201

Atkinson GM, Goda K, Assatourians K (2011) Comparison of nonlinear structural response for accelerograms simulated from the stochastic finite-fault approach versus the hybrid broadband approach. Bull Seism Soc Am 101:2967–2980

Beresnev IA, Atkinson GM (1998) Stochastic finite-fault modeling of ground motions from the 1994 Northridge, California, earthquake. I. Validation on rock sites. Bull Seism Soc Am 88:1392–1401

Beresnev IA, Atkinson GM (2002) Source parameters of earthquakes in eastern and western North America based on finite-fault modeling. Bull Seism Soc Am 92:695–710

Boatwright J, Choy G (1992) Acceleration source spectra anticipated for large earthquakes in Northeastern North America. Bull Seism Soc Am 82:660–682

Boore DM (1983) Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. Bull Seism Soc Am 73:1865–1894

Boore DM (2003) Simulation of ground motion using the stochastic method. Pure Appl Geophys 160:635–676

Boore DM (2009) Comparing stochastic point-source and finite-source ground motion simulations: SMSIM and EXSIM. Bull Seism Soc Am 99:3202–3216

Boore DM, Atkinson G (1992) Source spectra for the 1988 Saguenay, Quebec, earthquakes. Bull Seism Soc Am 82:683–719

Boore DM, Joyner WB (1997) Site amplifications for generic rock sites. Bull Seism Soc Am 87:327–341

Boore DM, Campbell KW, Atkinson GM (2010) Determination of stress parameters for eight well-recorded earthquakes in eastern North America. Bull Seism Soc Am 100:1632–1645

Brune J (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75:4997–5009

Brune J (1971) Correction. J Geophys Res 76:5002

Castro RR, Pacor F, Franceschina G, Bindi D, Zonno C, Luzi L (2008) Stochastic strong-motion simulation of the M-w 6 Umbria-Marche earthquake of September 1997: comparison of different approaches. Bull Seism Soc Am 98:662–670

Chopra S, Kumar D, Rastogi BK (2010) Estimation of strong ground motions for 2001 Bhuj (M (w) 7.6), India earthquake. Pure Appl Geophys 167:1317–1330

Estevao JMC, Oliveira CS (2012) Point and fault rupture stochastic methods for generating simulated accelerograms considering soil effects for structural analysis. Soil Dyn Earthq Eng 43:329–341

Frankel A (1995) Simulating strong motions of large earthquakes using recordings of small earthquakes: the Loma Prieta mainshock as a test case. Bull Seism Soc Am 85:1144–1160

Hamzehloo H, Mahood M (2012) Ground-motion attenuation relationship for East Central Iran. Bull Seism Soc Am 102:2677–2684

Hanks TC, Kanamori H (1979) A moment magnitude scale. J Geophys Res 84:2348–2350

Hartzell S (1978) Earthquake aftershocks as Green’s functions. Geophys Res Lett 5:1–14

Kanamori H (1977) The energy release in great earthquakes. J Geophys Res 82:2981–2987

Kanamori H, Anderson DL (1975) Theoretical basis of some empirical relations in seismology. Bull Seism Soc Am 65:1073–1095

Macias M (2008) Ground motion attenuation, source and site effects for the September 26, 2003, M8.1 Tokachi-Oki earthquake sequence, and implications for ground motions for great Cascadia earthquakes, Ph.D. Thesis. Carleton University, Ottawa

Macias M, Atkinson G, Motazedian D (2008) Ground-motion attenuation, source, and site effects for the 26 September 2003 M 8.1 Tokachi-Oki earthquake sequence. Bull Seismol Soc Am 98:1947–1963

Moghaddam H, Fanaie N, Motazedian D (2010) Estimation of stress drop for some large shallow earthquakes using stochastic point-source and finite-fault modeling. Sci Iran J 17:217–235

Motazedian D (2006) Region-specific key seismic parameters for earthquakes in northern Iran. Bull Seism Soc Am 99:1383–1395

Motazedian D, Atkinson GM (2005a) Stochastic finite-fault modeling based on a dynamic corner frequency. Bull Seism Soc Am 95:995–1010

Motazedian D, Atkinson GM (2005b) Earthquake magnitude measurements for Puerto Rico. Bull Seism Soc Am 95:725–730

Motazedian D, Monifar A (2006) Hybrid stochastic finite fault modelling of 2003, M6.5, Bam earthquake. J Seismol 10:91–103

Nath SK, Raj A, Thingbaijam KKS, Kumar A (2009) Ground motion synthesis and seismic scenario in Guwahati City—a stochastic approach. Seism Res Lett 80:233–242

Nath SK, Thingbaijam KKS, Maiti SK, Nayak A (2012) Ground-motion predictions in Shillong region, Northeast India. J Seismol 16:475–488

Rodriguez-Perez Q, Ottemoller L, Castro RR (2012) Stochastic finite-fault ground-motion simulation and source characterization of the 4 April 2010 M-W 72 El Mayor-Cucapah Earthquake. Seism Res Lett 83:235–249

Safak E, Boore DM (1988) On low-frequency errors of uniformaly modulated filtered white-noise models for ground motions. Earthq Eng Struct Dyn 16:381–388

Saragoni R, Hart GC (1974) Simulation of artificial earthquakes. Earthq Eng Struct Dyn 2:249–267

Thatcher W, Hanks TC (1973) Source parameters of Southern California earthquakes. J Geophys Res 78:8547–8576

Ugurhan B, Askan A (2010) Stochastic strong ground motion simulation of the 12 November 1999 Duzce (Turkey) Earthquake using a dynamic corner frequency approach. Bull Seism Soc Am 100:1498–1512

Ugurhan B, Askan A, Akinci A, Malagnini L (2012) Strong-ground-motion simulation of the 6 April 2009 L’Aquila, Italy, Earthquake. Bull Seism Soc Am 102:1429–1445

Wang HY (2010) Prediction of acceleration field of the 14 April 2010 Yushu earthquake. Chin J Geophys Chin Ed 53:2345–2354

Wang HY, Xie LL (2009) Prediction of near-fault strong ground motion field. Chin J Geophys Chin Ed 52:703–711

Yalcinkaya E, Pinar A, Uskuloglu O, Tekebas S, Firat B (2012) Selecting the most suitable rupture model for the stochastic simulation of the 1999 Izmit earthquake and prediction of peak ground motions. Soil Dyn Earthq Eng 42:1–16

Zafarani H, Vahidifard H, Ansari A (2012) Sensitivity of ground-motion scenarios to earthquake source parameters in the Tehran metropolitan area, Iran. Soil Dyn Earthq Eng 43:342–354

Zhao JX, Xu H (2012) Magnitude-scaling rate in ground-motion prediction equations for response spectra from large subduction interface earthquakes in Japan. Bull Seism Soc Am 102:222–235

Zonno G, Oliveira CS, Ferreira MA, Musacchio G, Meroni F, Mota-de-Sa F, Neves F (2010) Assessing seismic damage through stochastic simulation of ground shaking: the case of the 1998 faial earthquake (Azores Islands). Surv Geophy 31:361–381

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