Nonlinear Soil Response a Reality?

Geotechnical models consistently indicate that the stress-strain relationship of soils is nonlinear and hysteretic, especially at shear strains larger than ∼10−5 to 10−4. Nonlinear effects, such as an increase in damping and reduction in shear-wave velocity as excitation strength increases, are commonly recognized in the dynamic loading of soils. On the other hand, these effects are usually ignored in seismological models of ground-motion prediction because of the lack of compelling corroborative evidence from strong-motion observations. The situation is being changed by recently obtained data. Explicit evidence of strong-motion deamplification, accompanied by changes in resonant frequencies, are found in the data from the 1985 Michoacan, Mexico, and the 1989 Loma Prieta, California, earthquakes, the events recorded by the vertical and surface accelerograph arrays in Taiwan, as well as a number of other events throughout the world. Evidence of nonlinear behavior becomes apparent beyond a threshold acceleration of ∼100 to 200 gal. Nonlinearity is considerable in cohesionless soil but may be negligible in stiff soils. The findings of recent years indicate that nonlinear site effects are more common than previously recognized in strong-motion seismology.

[1]  David M. Boore,et al.  Peak Accelerations From the 17 October 1989 Loma Prieta Earthquake , 1989 .

[2]  I. M. Idriss,et al.  Influence of Soil Conditions on Ground Motions During Earthquakes , 1969 .

[3]  Roman D. Hryciw,et al.  Soil Amplification at Treasure Island During the Loma Prieta Earthquake , 1991 .

[4]  V. Drnevich,et al.  SHEAR MODULUS AND DAMPING IN SOILS: DESIGN EQUATIONS AND CURVES , 1972 .

[5]  Mustafa Erdik,et al.  Site Response Analysis , 1987 .

[6]  H. Seed Soil moduli and damping factors for dynamic response analyses , 1970 .

[7]  Keiiti Aki,et al.  Simultaneous study of the source, path, and site effects on strong ground motion during the 1989 Loma Prieta earthquake: A preliminary result on pervasive nonlinear site effects , 1991 .

[8]  V. Drnevich,et al.  Shear Modulus and Damping in Soils: Measurement and Parameter Effects (Terzaghi Leture) , 1972 .

[9]  K. Aki Strong motion prediction using mathematical modeling techniques , 1982 .

[10]  I. Beresnev,et al.  Source, path and site effects on dominant frequency and spatial variation of strong ground motion recorded by SMART1 and SMART2 arrays in Taiwan , 1994 .

[11]  Leif Wennerberg,et al.  Comment on “Simultaneous study of the source, path, and site effects on strong ground motion during the 1989 Loma Prieta earthquake: A preliminary result on pervasive nonlinear site effects” by Byau-Heng Chin and Keiiti Aki , 1996 .

[12]  W. B. Joyner,et al.  The effect of Quaternary alluvium on strong ground motion in the Coyote Lake, California, earthquake of 1979 , 1981 .

[13]  Kuo-Liang Wen,et al.  Nonlinear soil amplification inferred from downhole strong seismic motion data , 1994 .

[14]  C. Lomnitz Comment on two articles on gravity waves by Chávez-García and Bard (1993a, b) , 1995, Bulletin of the Seismological Society of America.

[15]  L. M. Baker,et al.  Garner valley downhole array of accelerometers: Instrumentation and preliminary data analysis , 1992, Bulletin of the Seismological Society of America.

[16]  Wilfred D. Iwan,et al.  On a Class of Models for the Yielding Behavior of Continuous and Composite Systems , 1967 .

[17]  I. M. Idriss,et al.  Seismic Response of Horizontal Soil Layers , 1968 .

[18]  G. Atkinson,et al.  Modeling finite-fault radiation from the ωn spectrum , 1997, Bulletin of the Seismological Society of America.

[19]  John A. Orcutt,et al.  Surface and near-surface effects on seismic waves—theory and borehole seismometer results , 1987 .

[20]  Anthony F. Shakal,et al.  The site response of two rock and soil station pairs to strong and weak ground motion , 1991, Bulletin of the Seismological Society of America.

[21]  Mladen Vucetic,et al.  DEGRADATION OF MARINE CLAYS UNDER CYCLIC LOADING , 1988 .

[22]  Vincent P. Drnevich,et al.  Shear modulus and damping in soils , 1972 .

[23]  Kuo-Liang Wen,et al.  Seismological evidence for nonlinear elastic ground behavior during large earthquakes , 1995 .

[24]  S. H. Seale,et al.  Site amplification and attenuation of strong ground motion , 1989 .

[25]  F. E. Richart,et al.  Soil Motion Computations by Characteristics Method , 1974 .

[26]  W. B. Joyner,et al.  The Amplitude Dependence of High-Frequency Spectral Decay: Constraint on Soil Non-Linearity , 1996 .

[27]  M. P. Romo,et al.  The Mexico Earthquake of September 19, 1985—Relationships between Soil Conditions and Earthquake Ground Motions , 1988 .

[28]  D. Elton,et al.  Dynamic Site Periods in Charleston, SC , 1989 .

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

[30]  W. B. Joyner,et al.  Calculation of nonlinear ground response in earthquakes , 1975 .

[31]  P. Bard,et al.  Reply to comment on “Comment on two articles on gravity waves by Chávez-García and Bard (1993a, b)” by c. lomnitz , 1995 .

[32]  Roger D. Borcherdt,et al.  A comparative ground response study near Los Angeles using recordings of Nevada nuclear tests and the 1971 San Fernando earthquake , 1984 .

[33]  B. Tucker,et al.  Dependence of sediment-filled valley response on input amplitude and valley properties , 1984 .

[34]  K. Tokimatsu,et al.  Nonlinear Soil Properties Estimated from Strong Motion Accelerograms , 1981 .

[35]  Mario Ordaz,et al.  The Mexico Earthquake of September 19, 1985—A Study of Amplification of Seismic Waves in the Valley of Mexico with Respect to a Hill Zone Site , 1988 .

[36]  C. Cramer,et al.  A comparison of observations of ground response to weak and strong ground motion at Coalinga, California , 1988 .

[37]  K. Mccall Theoretical study of nonlinear elastic wave propagation , 1994 .

[38]  N. Ile,et al.  Nonlinear seismic response analysis of soft soil deposits , 1992 .

[39]  H. Kanamori The Kobe (Hyogo-ken Nanbu), Japan, Earthquake of January 16, 1995 , 1995 .

[40]  G. Masing,et al.  Eigenspannungen und Verfestigung beim Messing , 1926 .

[41]  M. Celebi,et al.  The Culprit in Mexico City—Amplification of Motions , 1987 .

[42]  John F. Schneider,et al.  Ground Motion Model for the 1989 M 6.9 Loma Prieta Earthquake Including Effects of Source, Path, and Site , 1993 .

[43]  Masayuki Takemura,et al.  A semi-empirical method using a hybrid of stochastic and deterministic fault models: simulation of strong ground motions during large earthquakes , 1988 .

[44]  H. Seed,et al.  Dynamic moduli and damping ratios for cohesive soils , 1988 .

[45]  D. E. Hudson Local distribution of strong earthquake ground motions , 1972, Bulletin of the Seismological Society of America.

[46]  Raj V. Siddharthan,et al.  On the characteristics of nonlinear soil response , 1993 .

[47]  W. B. Joyner,et al.  A FORTRAN program for calculating nonlinear seismic ground response , 1977 .

[48]  Raúl R. Castro,et al.  Some aspects of source characteristics of the 19 September 1985 Michoacan earthquake and ground motion amplification in and near Mexico City from strong motion data , 1988 .

[49]  D. Jongmans,et al.  The 1983 Liege Earthquake: Damage Distribution and Site Effects , 1990 .

[50]  W. D. Liam Finn,et al.  dynamic Analysis in Geotechnical Engineering , 1988 .

[51]  H. Bolton Seed,et al.  An analysis of ground motions during the 1957 San Francisco earthquake , 1968 .

[52]  Kuo-Liang Wen,et al.  The accuracy of soil response estimates using soil-to-rock spectral ratios , 1996, Bulletin of the Seismological Society of America.

[53]  H. Bolton Seed,et al.  Relationships of maximum acceleration, maximum velocity, distance from source, and local site conditions for moderately strong earthquakes , 1975 .

[54]  H B Seed,et al.  SEISMIC RESPONSE OF SOIL DEPOSITS , 1970 .

[55]  Local site effects on weak and strong ground motions at the Ashigara Valley, Japan , 1992 .

[56]  Alain Pecker,et al.  Low-frequency transfer of seismic energy by superficial soil deposits and soft rocks , 1984 .

[57]  Kuo-Liang Wen,et al.  Non‐linear soil response in ground motions , 1994 .

[58]  R. Darragh,et al.  Interpretation of significant ground-response and structure strong motions recorded during the 1994 Northridge earthquake , 1996, Bulletin of the Seismological Society of America.

[59]  Roger D. Borcherdt,et al.  On the characteristics of local geology and their influence on ground motions generated by the Loma Prieta earthquake in the San Francisco Bay region, California , 1992 .

[60]  N. A. Haskell,et al.  Crustal Reflection of Plane SH Waves , 1960 .

[61]  H. Bolton Seed,et al.  Soil moduil and damping factors for dynamics response analyses , 1970 .

[62]  B. Gutenberg,et al.  Effects of ground on earthquake motion , 1957 .

[63]  I. Beresnev,et al.  INVESTIGATION OF NON-LINEAR SITE AMPLIFICATION AT TWO DOWNHOLE STRONG GROUND MOTION ARRAYS IN TAIWAN , 1995 .

[64]  C. Lomnitz Mexico 1985: the case for gravity waves , 1990 .

[65]  Carlos E. Ventura,et al.  Analysis of ground motions at Treasure Island site during the 1989 Loma Prieta earthquake , 1993 .

[66]  Mehmet Çelebi,et al.  Topographical and geological amplifications determined from strong-motion and aftershock records of the 3 March 1985 Chile earthquake , 1987 .

[67]  Keiiti Aki,et al.  Local site effects on weak and strong ground motion , 1993 .

[68]  P. B. Schnabel SHAKE-A Computer Program for Earthquake Response Analysis of Horizontally Layered Sites , 1970 .

[69]  A. H. Davis,et al.  Amplification of seismic body waves by low-velocity surface layers , 1971, Bulletin of the Seismological Society of America.

[70]  I. Beresnev,et al.  Nonlinear Soil Amplification: Its Corroboration in Taiwan , 1995 .