Phase Derivatives and Simulation of Strong Ground Motions

Phase derivatives can be used to compute instantaneous frequency and envelope delay (also known as group delay). Envelope delay, in the guise of phase differences, has been used by engineers in the simulation of strong ground motion, particularly as a way of controlling the duration of motion. Simulations using the stochastic method, in which duration is a simple function of source duration and a path-dependent duration, possess envelope delay properties similar to those from simulations based on phase differences. Envelope delay provides a way of extending the standard stochastic method to produce nonstationary frequency content, as pro- duced by ground motions containing surface waves.

[1]  D. Boore.  Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra , 1983 .

[2]  N. C. Nigam.  Phase properties of a class of random processes , 1982 .

[3]  Y. Ohsaki,et al.  On the significance of phase content in earthquake ground motions , 1979 .

[4]  Jon Berger,et al.  Peculiarities of surface-wave propagation across central Eurasia , 1992, Bulletin of the Seismological Society of America.

[5]  J. Claerbout.  Earth Soundings Analysis: Processing Versus Inversion , 1992 .

[6]  Stephen A. Dyer,et al.  Digital signal processing , 2018, 8th International Multitopic Conference, 2004. Proceedings of INMIC 2004..

[7]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

[8]  Paul G. Richards,et al.  Quantitative Seismology: Theory and Methods , 1980 .

[9]  廖振鹏,et al.  A stochastic model of the Fourier phase of strong ground motion , 1995 .

[10]  John S. Farnbach.  The complex envelope in seismic signal analysis , 1975, Bulletin of the Seismological Society of America.

[11]  M. Taner,et al.  Complex seismic trace analysis , 1979 .

[12]  Anne S. Kiremidjian,et al.  Simulation of digital earthquake accelerograms using the inverse discrete Fourier transform , 2002 .

[13]  N. Abrahamson,et al.  Empirical Response Spectral Attenuation Relations for Shallow Crustal Earthquakes , 1997 .

[14]  K. Aki.  Study of earthquake mechanism by a method of phase equalization applied to Rayleigh and Love waves , 1960 .

[15]  David M. Boore,et al.  On low-frequency errors of uniformly modulated filtered white-noise models for ground motions , 1988 .

[16]  William H. Press,et al.  Book-Review - Numerical Recipes in Pascal - the Art of Scientific Computing , 1989 .

[17]  V. Gupta,et al.  ON THE CHARACTERISATION OF THE PHASE SPECTRUM FOR STRONG MOTION SYNTHESIS , 2001 .

[18]  W. B. Joyner.  Strong motion from surface waves in deep sedimentary basins , 2000 .

[19]  David M. Boore,et al.  Basin Waves on a Seafloor Recording of the 1990 Upland, California, Earthquake: Implications for Ground Motions from a Larger Earthquake , 1999 .

[20]  W. B. Joyner,et al.  Equations for Estimating Horizontal Response Spectra and Peak Acceleration from Western North American Earthquakes: A Summary of Recent Work , 1997 .

[21]  David M. Boore,et al.  SMSIM — Fortran Programs for Simulating Ground Motions from Earthquakes: Version 2.3 — A Revision of OFR 96–80–A , 2000 .

[22]  David M. Boore,et al.  SSMSIM : Fortran programs for simulating ground motions from earthquakes , 1996 .

[23]  A. Dziewoński,et al.  Numerical Analysis of Dispersed Seismic Waves , 1972 .

[24]  Yun‐tai Chen,et al.  International Handbook of Earthquake and Engineering Seismology , 2004 .

[25]  Edward H. Field,et al.  Accounting for Site Effects in Probabilistic Seismic Hazard Analyses of Southern California: Overview of the SCEC Phase III Report , 2000 .

[26]  V. Montaldo,et al.  SIMULATION OF THE FOURIER PHASE SPECTRUM FOR THE GENERATION OF SYNTHETIC ACCELEROGRAMS , 2003 .

[27]  Gail M. Atkinson,et al.  Evaluation of models for earthquake source spectra in eastern North America , 1998, Bulletin of the Seismological Society of America.

[28]  A. Dziewoński,et al.  A technique for the analysis of transient seismic signals , 1969 .

[29]  Y. Ohsaki.  Improved methods for generation of simulated earthquake ground motions , 1984 .

[30]  Charles E. Smith,et al.  Analysis of earthquake recordings obtained from the Seafloor Earthquake Measurement System (SEMS) instruments deployed off the coast of southern California , 1999 .

[31]  G. Atkinson,et al.  FINSIM--a FORTRAN Program for Simulating Stochastic Acceleration Time Histories from Finite Faults , 1998 .

[32]  Mihailo D. Trifunac,et al.  A method for synthesizing realistic strong ground motion , 1971, Bulletin of the Seismological Society of America.

[33]  David M. Boore,et al.  85.13 SMSIM: Stochastic method SIMulation of ground motion from earthquakes , 2003 .

[34]  A. Shatilo,et al.  SEISMIC PHASE UNWRAPPING: METHODS, RESULTS, PROBLEMS , 1992 .

[35]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[36]  E. R. Kanasewich,et al.  Time sequence analysis in geophysics , 1973 .

[37]  Mihailo D. Trifunac,et al.  Generation of artificial strong motion accelerograms , 1979 .

[38]  Frank Scherbaum.  Of poles and zeros , 1996 .

[39]  Paul L. Stoffa,et al.  THE APPLICATION OF HOMOMORPHIC DECONVOLUTION TO SHALLOW‐WATER MARINE SEISMOLOGY—PART I: MODELS , 1974 .

[40]  William H. Press,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .

[41]  Anne S. Kiremidjian,et al.  MODELING OF EARTHQUAKE GROUND MOTION IN THE FREQUENCY DOMAIN , 2000 .