A Fourier series non-stationary coherency model with respect to site conditions for the horizontal component of ground motion

Journal of Seismology - Tập 27 - Trang 343-359 - 2023
Qixiang Lin1,2,3, Qi Zhang1,2, Denghong Chen1,2, Gang Peng1,2
1Hubei Key Laboratory of Disaster Prevention and Mitigation, China Three Gorges University, Yichang, China
2College of Civil Engineering and Architecture, China Three Gorges University, Yichang, China
3Hubei Provincial Engineering Technology Research Center for Power Transmission Line, China Three Gorges University College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China

Tóm tắt

A Fourier series non-stationary coherency model with respect to the site conditions for the horizontal component was developed. The evolution of the model was achieved using parameters related to the site, inter-station distance, and time. First, based on the simulation of a non-stationary ground-motion field considering the wave-passage effect and site-response effect, the approach used for the estimation of coherency using wavelet transform is presented. Subsequently, the Fourier series non-stationary coherency model is formulated. The parameters are considered piecewise constant variables to represent the non-stationarity of the estimated coherency. The effects of the site and inter-station distance on the proposed model are presented. Parameters related to the site and inter-station distance were obtained. Finally, the proposed model is compared with the ground motion records at the SMART-1 array during Event 45, the stationary model, and the data from the Argostoli rock-site dense array. This indicates that the Fourier series non-stationary coherency model with respect to site conditions for the horizontal component can well match the correlation of the realistic spatially variable seismic ground motion, which is related to the site, time, and inter-station distance.

Tài liệu tham khảo

Abbas H, Tezcan J (2019) Relevance vector machines modeling of nonstationary ground motion coherency. Soil Dyn Earthq Eng 120:262–272 Abrahamson N, Schneider JF, Stepp JC (1991a) Spatial coherency of shear waves from the Lotung, Taiwan large-scale seismic test. Struct Saf 10(1):145–162 Abrahamson NA (1988) Spatial interpolation of array ground motions for engineering analysis. In: Proceedings of the 9th world conference on earthquake engineering, Tokyo, Japan Abrahamson NA (2006) Program on technology innovation: spatial coherency models for soil-structure interaction. EPRI, Palo Alto, CA, and U.S. Department of Energy, Germantown, MD: 2006. 1014101 Abrahamson NA, Bolt BA, Darragh RB, Penzien J, Tsai YB (1987) The SMART I accelerograph array (1980-1987): A review. Earthq Spectra 3(2):263–287 Bao S, Wang S (2017a) A generalized solution procedure for in-plane free vibration of rectangular plates and annular sectorial plates. R Soc Open Sci 4:170484 Bao S, Wang S, Wang B (2017b) An improved Fourier–Ritz method for analyzing in-plane free vibration of sectorial plates. ASME J Appl Mech 84(9):091001 Chiu HC, Amirbekian RV, Bolt BA (1995) Transferability of strong ground-motion coherency between the SMART1 and SMART2 arrays. Bull Seismol Soc Am 85(1):342–348 Clough RW, Penzien J (1975) Dynamics of structures. McGraw Hill Inc, New York Cohen L (1995) Time-frequency analysis. Prentice–Hall, Englewood Cliffs N.J Conte JP, Peng BF (1997) Fully non-stationary analytical earthquake ground-motion model. J Eng Mech ASCE 123(1):15–24 Deodatis G, Shinozuka M (1988) Auto-regressive model for nonstationary stochastic process. J Eng Mech ASCE 114(11):1995–2012 Deodatis G (1996) Non-stationary stochastic vector processes: seismic ground motion applications. Probab Eng Mech 11(3):149–167 Ding HP, Liu QF, Jin X, Yuan YF (2004) A coherency function model of ground motion at base rock corresponding to strike-slip fault. Acta Seismol Sin 17(1):64 69 Ding H, Trifunac MD, Todorovska MI, Orbović N (2015) Coherence of dispersed synthetic strong earthquake ground motion at small separation distances. Soil Dyn Earthq Eng 70:1–10 Ekinci TO, Mayer JRR (2007) Relationships between straightness and angular kinematic errors in machines. Int J Mach Tools Manuf 47:1997–2004 Grinsted A, Moore JC, Jevrejeva S (2004) Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlin Process Geophys 11(5/6):561–566 Hao H, Oliveira CS, Penzien J (1989) Multiple-station ground motion processing and simulation based on smart-1 array data. Nucl Eng Des 111(3):293–310 Harichandran RS (1991) Estimating the spatial variation of earthquake ground motion from dense array recordings. Struct Saf 10(1):219–233 Hindy A, Novak M (1980) Response of pipelines to random ground motion. J Eng Mech 106:339–360 Huang NE, Wu Z (2008) A review on Hilbert-Huang transform: method and its applications to geophysical studies. Rev Geophys 46(2):1–23 Huda MM, Langston CA (2021) Coherence and variability of ground motion in New Madrid Seismic Zone using an array of 600 m. J Seismolog 25:433–448 Imtiaz A, Cornou C, Bard PY, Zerva A (2018a) Effects of site geometry on short-distance spatial coherency in Argostoli, Greece. Bull Earthq Eng 16(5):1801–1827 Imtiaz A, Perron V, Hollender F, Bard PY, Cornou C, Svay A, Theodoulidis N (2018b) Wavefield characteristics and spatial incoherency: a comparative study from Argostoli rock- and soil-site dense seismic arrays. Bull Seismol Soc Am 108(5A):2839–2853 Kanai K (1957) Semi-empirical formula for the seismic characteristics of the ground. Bull Earthq Res Inst 39:309–325 Konakli K, Der Kiureghian A, Dreger D (2014) Coherency analysis of accelerograms recorded by the UPSAR array during the 2004 Parkfield earthquake. Earthq Eng Struct Dynam 43 (5):641–659 Loh CH, Lin SG (1990) Directionality and simulation in spatial variation of seismic waves. Eng Struct 12(2):134–143 Lü HS, Zhao FX (2007) Site coefficients suitable to China site category. Acta Seismol Sin 20(1):71–79 Luco JE, Wong HL (1986) Response of a rigid foundation to a spatially random ground motion. Earthq Eng Struct Dynam 14(6):891–908 Mohamed AS, Sunghyuk G, Sung GC (2015) Seismic responses of base-isolated nuclear power plant structures considering spatially varying ground motions. Struct Eng Mech 54(1):169–188 Nigam N (1965) Evolutionary spectra and non-stationary processes. J R Stat Soc Seri B (Methodological) 27(2) Niu P, Cheng Q, Liu ZF, Chu HY (2021) A machining accuracy improvement approach for a horizontal machining center based on analysis of geometric error characteristics. Int J Adv Manuf Technol 112(9-10):2873–2887 Priestley MB (1987) Spectral analysis and time series: probability and mathematical statistics. Academic Press, New York Qiao D, Zhi XD, Fan F, Hong HP (2020) Estimation of wavelet coherence of seismic ground motions. Bull Seismol Soc Am 110(2):613–628 Qi ZH, Xiang YZH (2020) Temporal and spectral characteristics of seismic ground motions: offshore versus onshore. Mar struct 74:102812 Rezaeian S, Der Kiureghian A (2008) A stochastic ground motion model with separable temporal and spectral nonstationarities. Earthq Eng Struct Dyn 37(13):1565–1584 Saxena V, Deodatis G, Shinozuka M (2000) Effect of spatial variation of earthquake ground motion on the nonlinear dynamic response of highway bridges. In: Proceedings of 12th world conference on earthquake engineering, Auckland, New Zealand Svay A, Perron V, Imtiaz A, Zentner I, Cottereau R, Clouteau D, Bard PY, Hollender F, Lopez-Caballero F (2017) Spatial coherency analysis of seismic ground motions from a rock site dense array implemented during the Kefalonia 2014 aftershock sequence. Earthq Eng Struct Dynam 46(12):1895–1917 Tang H, Duan JA, Zhao QC (2017) A systematic approach on analyzing the relationship between straightness & angular errors and guideway surface in precise linear stage. Int J Mach Tools Manuf 120:12–19 Tian L, Gai X, Qu B et al (2018) Influence of spatial variation of ground motions on dynamic responses of supporting towers of overhead electricity transmission systems: an experimental study. Eng Struct 128:67–81 Torrence C, Webster PJ (1999) Interdecadal changes in the ENSO–Monsoon system. J Clim 12(8):2679–2690 Wang D, Wang L, Xu J, Kong F, Wang G (2019) A directionally-dependent evolutionary lagged coherency model of nonstationary horizontal spatially variable seismic ground motions for engineering purposes. Soil Dyn Earthq Eng 117:58–71 Wang GQ, Zhou XY, Zhang P, Igel H (2002) Characteristics of amplitude and duration for near fault strong ground motion from the 1999 Chi-Chi, Taiwan earthquake. Soil Dyn Earthq Eng 22(1):73–96 Yang QS, Chen YJ (2000) Practical coherency model for spatially varying ground motions. Struct Eng Mech 9(2):141–152 Yaghmaei-Sabegh S, Tsang H-H (2014) Site class mapping based on earthquake ground motion data recorded by regional seismographic network. Nat Hazard 73(3):2067–2087 Yaghmaei-Sabegh S, Rupakhety R (2020) A new method of seismic site classification using HVSR curves: a case study of the 12 November 2017 Mw 7.3 Ezgeleh earthquake in Iran. Eng Geol 270:105574 Yeh CH, Wen YK (1990) Modeling of non-stationary ground motion and analysis of inelastic structural response. Struct Saf 8(1-4):281–298 Yu RF, Yuan MQ, Yu YX (2011) Spatial coherency function of seismic ground motion based on UPSAR records. Appl Mech Mater 90-93:1586–1592 Yu RF, Yuan M, Yu YX (2015) Developed empirical model for simulation of time-varying frequency in earthquake ground motion. Earthq Struct 8:1463–1480 Yu RF, Abduwaris A, Yu YX (2020) Practical coherency model suitable for near- and far-field earthquakes based on the effect of source-to-site distance on spatial variations in ground motions. Struct Eng Mech 73(6):651–666 Zerva A (2009) Spatial variation of seismic ground motions, modelling and engineering application. CRC Press, Boca Raton