Time domain method for calculating free field motion of a layered half-space subjected to obliquely incident body waves     

李山有  朱海燕  高淑芳 《地震工程与工程振动(英文版)》2007,6(2):191-196

In numerical simulation of wave scattering under oblique incident body waves using the finite element method, the free field motion at the incident lateral boundary induced by the background layered half-space complicates the computational area. In order to replace the complex frequency domain method, a time-domain method to calculate the free field motion of a layered half-space subjected to oblique incident body waves is developed in this paper. The new method decouples the equations of motion used in the finite element method and offers an interpolation formula of the free field motion. This formula is based on the fact that the apparent horizontal velocity of the free field motion is constant and can be calculated exactly. Both the theoretical analysis and numerical results demonstrate that the proposed method offers a high degree of accuracy.  相似文献   

A review of numerical experiments on seismic wave scattering     

Arthur Frankel 《Pure and Applied Geophysics》1989,131(4):639-685

This paper reviews applications of the finite-difference and finite-element methods to the study of seismic wave scattering in both simple and complex velocity models. These numerical simulations have improved our understanding of seismic scattering in portions of the earth where there is significant lateral heterogeneity, such as the crust. The methods propagate complete seismic wavefields through highly complex media and include multiply scattered waves and converted phases (e.g.,P toSV, SV toP, body wave to surface wave). The numerical methods have been especially useful in cases of moderate and strong scattering in complex media where multiple scattering becomes important. Progress has been made with numerical methods in understanding how near-surface, low-velocity basin structures scatter surface waves and vertically-incident body waves. The numerical methods have proven useful in evaluating scattering of surface waves and body waves from topography of both the free surface and interfaces buried at depth. Numerical studies have demonstrated the importance of conversions from body waves to surface waves (andvice versa) when lateral heterogeneities and topographic relief are present in the uppermost crust. Recently, several investigations have applied numerical methods to study seismic wave propagation in velocity models which vary randomly in space. This stochastic approach seeks to understand the effects of small-scale complexity in the earth which cannot be resolved deterministically. These experiments have quantified the relationships between the statistical properties of the random heterogeneity and the measurable properties of high-frequency (1 Hz) seismograms. These simulations have been applied to the study of many features observed in actual high-frequency seismic waves, including: the amplitude and time decay of seismic coda, the apparent attenuation from scattering, the dispersion of waveforms, and the travel time and waveform variations across arrays of receivers.  相似文献   

Comparison of amplitude decay rates in reflection,refraction, and local earthquake records     

Bruce S. Gibson 《Pure and Applied Geophysics》1988,128(1-2):309-331

Three types of seismic data recorded near Coalinga, California were analyzed to study the behavior of scattered waves: 1) aftershocks of the May 2, 1983 earthquake, recorded on verticalcomponent seismometers deployed by the USGS; 2) regional refraction profiles using large explosive sources recorded on essentially the same arrays above; 3) three common-midpoint (CMP) reflection surveys recorded with vibrator sources over the same area. Records from each data set were bandpassed filtered into 5 Hz wide passbands (over the range of 1–25 Hz), corrected for geometric spreading, and fit with an exponential model of amplitude decay. Decay rates were expressed in terms of inverse codaQ (Q _c ^–1 ).Q _c ^–1 values for earthquake and refraction data are generally comparable and show a slight decrease with increasing frequency. Decay rates for different source types recorded on proximate receivers show similar results, with one notable exception. One set of aftershocks shows an increase ofQ _c ^–1 with frequency.Where the amplitude decay rates of surface and buried sources are similar, the coda decay results are consistent with other studies suggesting the importance of upper crustal scattering in the formation of coda. Differences in the variation ofQ _c ^–1 with frequency can be correlated with differences in geologic structure near the source region, as revealed by CMP-stacked reflection data. A more detailed assessment of effects such as the depth dependence of scattered contributions to the coda and the role of intrinsic attenuation requires precise control of source-receiver field geometry and the study of synthetic seismic data calculated for velocity models developed from CMP reflection data.  相似文献   

Application of the weighted residual method to diffraction by 2-D canyons of arbitrary shape: I. Incident SH waves   总被引：1，自引：0，他引：1  

Vincent W. Lee  Xiaoyun Wu 《Soil Dynamics and Earthquake Engineering》1994,13(5)

A solution for the two-dimensional scattering and diffraction of plane SH waves by canyons of arbitrary shape in an elastic half space is presented. The wave field for arbitrary geometry in this paper is computed numerically by the method of weighted residues (moment method). The wave displacement field computed by the present residual method for the case of a semi-circular canyon was shown to agree analytically and numerically with that computed by the exact closed form series solution. The same observations about ground amplifications, their dependence on frequencies and orientations of the incident waves, can be stated here for canyons of arbitrary shape as previously made for circular canyons.  相似文献   

Overall Properties of A Material With Inclusions Or Cavities   总被引：1，自引：0，他引：1  

J. A. Hudson 《Geophysical Journal International》1994,117(2):555-561

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Formulation of the multiple non-isotropic scattering process in 3-D space on the basis of energy transport theory   总被引：1，自引：0，他引：1  

Haruo Sato 《Geophysical Journal International》1995,121(2):523-531

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Quantifying crustal fracture heterogeneity by seismic scattering     

P. C. Leary 《Geophysical Journal International》1995,122(1):125-142

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SH propagation in rocks with planar fractures–I. Excess slowness     

L. Neil Frazer 《Geophysical Journal International》1995,122(1):33-62

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A comparison of single scattering and finite difference synthetic seismograms in realizations of 2-D elastic random media     

Richard T. Coates  Edmond E. Charrette 《Geophysical Journal International》1993,113(2):463-482

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Energy Transportation In One- and Two-Dimensional Scattering Media: Analytic Solutions of the Multiple Isotropic Scattering Model     

Haruo Sato 《Geophysical Journal International》1993,112(1):141-146

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