Three-dimensional nonlinear seismic ground motion modeling in basins

Abstract In this paper, we report on the development and application of a parallel numerical methodology for simulating large-scale earthquake-induced ground motion in highly heterogeneous basins whose soil constituents can deform nonlinearly. We target sedimentary basins with large contrasts in wavelengths for which regular grid methods become inefficient, and overcome the problem of multiple physical scales by using unstructured finite element triangulations. We illustrate the methodology with an example of an idealized basin, which contains a deep and a shallow sub-basin. The simulations show significant amplitude reduction of the ground accelerations due to inelastic soil behavior at sites above the deepest portions of the sub-basins, yet little shift in frequency. Under the assumption of linear anelastic material behavior, there is a rapid spatial distribution of the ground acceleration of the basin, which differs markedly from that for a one-dimensional (1D) analysis. This characteristic three-dimensional nature of the ground motion is preserved for the elastoplastic model. Concerning the ground displacement, the main qualitative difference between the elastic and inelastic models is the occurrence of significant permanent deformations in the inelastic case. These residual displacements can have practical implications for the design of long structures such as bridges and structures with large plan dimensions.

[1]  Robert J. Hansen,et al.  Seismic design for nuclear power plants , 1970 .

[2]  J. C. Simo,et al.  Consistent tangent operators for rate-independent elastoplasticity☆ , 1985 .

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

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

[5]  Michael Ortiz,et al.  An analysis of a new class of integration algorithms for elastoplastic constitutive relations , 1986 .

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

[7]  O'Connell,et al.  Replication of apparent nonlinear seismic response with linear wave propagation models , 1999, Science.

[8]  Mihailo D. Trifunac,et al.  Nonlinear Soil Response— 1994 Northridge, California, Earthquake , 1996 .

[9]  J. Lysmer,et al.  Modification of seismograph records for effects of local soil conditions , 1972, Bulletin of the Seismological Society of America.

[10]  Toshikazu Morita,et al.  Response of a dense sand deposit during 1993 Kushiro-Oki earthquake , 1995 .

[11]  W. B. Joyner,et al.  A method for calculating nonlinear seismic response in two dimensions , 1975 .

[12]  A. Elgamal,et al.  Shear hysteretic elasto‐plastic earthquake response of soil systems , 1991 .

[13]  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 .

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

[15]  Paul Christiano,et al.  Implementation of effective seismic input for soil−structure interaction systems , 1988 .

[16]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[17]  Mahendra P. Singh,et al.  Structural response for six correlated earthquake components , 1986 .

[18]  T. Larkin,et al.  Comparison of linear and nonlinear seismic responses of two-dimensional alluvial basins , 1995 .

[19]  E. Field,et al.  Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake , 1997, Nature.

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

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

[22]  Jean-Pierre Bardet,et al.  Engineering observations on ground motion at the Van Norman Complex after the 1994 Northridge earthquake , 1996 .

[23]  Kim B. Olsen,et al.  Site Amplification in the Los Angeles Basin from Three-Dimensional Modeling of Ground Motion , 2000 .

[24]  A. Arias.  A measure of earthquake intensity , 1970 .

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

[26]  Omar Ghattas,et al.  Earthquake Ground Motion and Structural Response in Alluvial Valleys , 1999 .

[27]  A 2-D Sensitivity Study of the Dynamic Behavior of a Volcanic Hill in the Azores Islands: Comparison with 1-D and 3-D Models , 2001 .

[28]  Paul Christiano,et al.  THREE-DIMENSIONAL NONLINEAR STUDY OF PILES , 1991 .

[29]  Norman A. Abrahamson,et al.  The SMART I Accelerograph Array (1980-1987): A Review , 1987 .

[30]  Takeji Kokusho,et al.  Nonlinear Seismic Response and Soil Property During Strong Motion , 1996 .

[31]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[32]  J. Bielak,et al.  Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part II: Verification and Applications , 2001 .

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

[34]  Bin Zhang,et al.  Simulation of the response of the Marina District Basin, San Francisco, California, to the 1989 Loma Prieta earthquake , 1996 .

[35]  David R. O'Hallaron,et al.  Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers , 1998 .

[36]  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.

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

[38]  Toshimi Satoh,et al.  Nonlinear behavior of soil sediments identified by using borehole records observed at the Ashigra Valley, Japan , 1995 .