Mw 5.5~6.5 지진동의 위상특성과 계속시간 및 PGA와의 관계 = Relationship between Phase Properties, Significant Duration and PGA from the Earthquake Records of Mw 5.5~6.5

다국어 초록 (Multilingual Abstract)

The phase properties of ground acceleration records from Mw 5.5~6.5 earthquakes are analyzed. The interrelationships between phase properties and significant durations, as well as PGA, are clarified through both of theoretical and empirical approaches. The probabilistic characteristics of phase information is also discussed based on previous studies and it is shown that circular normal distribution is the most appropriate probability distribution for the phase angle and phase difference. Whereas those variates can be modeled by Gaussian random variables. From the survey results on the frequency dependency of the phase statistics, a simple model is introduced, which is possible to express the frequency dependency of phase information. It is also shown that the significant duration can be controlled by appropriately chosen standard deviation of phase difference for 4~8Hz frequency band and additional consideration of phase scattering in higher frequency band through a series of Monte Carlo simulations. The source of phase scattering effect is also pointed out and discussed.

참고문헌 (Reference)

1 선창국, "현장 탄성파시험 자료 종합을 통한 국내 지반지층의 대표 전단파속도 제안" 대한지질공학회 22 (22): 293-307, 2012

2 Hinze JO, "Turbulence" McGraw-Hill 1975

3 Gabor D., "Theory of communication" 93 (93): 429-457, 1946

4 Bommer JJ, "The effective duration of earthquake strong motion" 3 (3): 137-172, 1999

5 Breckling J., "The analysis of directional time series: Applications to wind speed and direction" Springer 61 : 1989

6 Bracewell RN, "The Fourier transform and its applications" McGraw-Hill 2000

7 Papoulis A., "The Fourier integral and its applications" McGraw-Hill 1962

8 Brune JN., "Tectonic stress and the spectra of seismic shear waves from earthquakes" 75 (75): 4997-5009, 1970

9 Malhotra KP, "Strong-motion records for site specific analysis" 19 (19): 557-578, 2003

10 Grigoriu M., "Stochastic calculus: Applications in science and engineering" Birkhauser 2002

11 Mardia KV, "Statistics of directional data" Academic Press 1972

12 Cramér H, "Stationary and related stochastic processes:Sample function properties and their applications" John Wiley & Sons 1967

13 Dan K, "Stability of earthquake ground motion synthesized by using different small-event records as empirical Green’s functions" 80 (80): 1433-1455, 1990

14 Udías A, "Source mechanisms of earthquakes:Theory and practice" 2014

15 Miyake H, "Source characterization for broadband ground-motion simulation: Kinematic heterogeneous source model and strong motion generation area" 93 (93): 2531-2545, 2003

16 Shinozuka M, "Simulation of stochastic processes by spectral representation" 44 : 191-204, 1991

17 Boore D., "Simulation of ground motion using the stochastic method" 160 : 635-675, 2003

18 Katsanos EI, "Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective" 30 : 157-169, 2010

19 Izumi M, "Seismic waves: Synthesis and data processing" Kajima Press 1995

20 ASCE, "Seismic analysis of safety-related nuclear structures" ASCE standard. American Society of Civil Engineers 2016

21 Boore DM, "Revisions to some parameters used in stochastic-method simulations of ground motion" 105 (105): 1029-1041, 2015

22 Aki K, "Quantitative seismology" University Science Books 2002

23 Anache-Ménier D, "Phase statistics of seismic coda waves" 102 (102): 248501-, 2009

24 Boore DM, "Phase derivatives and simulation of strong ground motions" 93 (93): 1132-1143, 2003

25 Tilioune B, "Phase angle properties of earthquake strong motions: A critical look" 2000

26 Boore DM, "Path duration for use in the stochasticmethod simulation of ground motions" 104 (104): 2541-2552, 2014

27 Pacific Earthquake Engineering Research Center, "PEER Ground Motion Database"

28 Ohsaki Y., "On the significance of phase content in earthquake ground motions" 7 : 427-429, 1979

29 Thráinsson H, "Modeling of earthquake ground motion in the frequency domain" The John A Blume Earthquake Engineering Center. Stanford University 2000

30 Architectural Institute of Korea, "Korean Building Code"

31 Ministry of Interior and Safety, "Korea, Recommendations for seismic design regulation" 2017

32 Boashash B., "Estimating and interpreting the instantaneous frequency of signal-Part 1: Fundamentals" 80 (80): 520-538, 1992

33 Margerin L, "Energy partition of seismic coda waves in layered media: theory and application to Pinyon Flats Observatory" 177 : 571-585, 2009

34 S. Akkar, "Empirical ground-motion models for point- and extended-source crustal earthquake scenarios in Europe and the Middle East" Springer Science and Business Media LLC 12 (12): 359-387, 2014

35 Wang H., "Effect of phase characteristic of seismic wave on the response of structures" 2004

36 Assatourians K, "EXSIM 12: A stochastic finite-fault computer program in Fortran"

37 Hamming RW, "Digital filters" Prentice-Hall 1989

38 Huang YN, "Assessment of base-isolated nuclear structures for design and beyond-design basis earthquake shaking" 2009

39 Causse M, "Are stress drop and rupture velocity of earthquakes independent? Insight and observed ground motion variability" 42 : 7383-7389, 2015

40 Montejo LA, "An empirical relationship between Fourier and response spectra using spectrum compatible time series" 33 (33): 179-199, 2017

41 Yamane T, "A study on a generation of simulated earthquake ground motion considering phase difference characteristics –Part2" 559 : 55-62, 2002

42 Atkinson GM, "A guide to difference between stochastic point-source and stochastic finite-fault simulations" 99 : 3192-3201, 2009