Simulation of non-stationary conditional ground motion fields in the time domain

This paper addresses the topic of simulating spatially variable ground motion fields conditioned on a known accelerogram. The conditional ground motion fields can be used in design or verification studies where seismic analysis has to be performed for a couple of natural accelerograms that have been preselected by seismologists or other experts. The methodology is based on conditional densities. In contrast to most authors, the conditional densities method is not applied to the Fourier coefficients, but it is used for the construction of a conditional Gaussian process model in the time domain. This has the advantage that fully non-stationary conditional time histories can be simulated directly in the time domain. The cross-correlation functions needed for this approach are evaluated from commonly used ground motion models expressed as evolutionary power spectral densities. An application to the El Centro earthquake record is presented. The properties of the simulated ground motion fields are analysed and compared to the data and the theoretical model.     

A COHERENCY MODEL FOR SPATIALLY VARYING GROUND MOTIONS

A theoretical model for the coherency function describing spatial variability of earthquake ground motions is developed. The model consists of three components characterizing three distinct effects of spatial variability, namely, the incoherence effect that arises from scattering of waves in the heterogeneous medium of the ground and their differential superpositioning when arriving from an extended source, the wave-passage effect that arises from difference in the arrival times of waves at different stations, and the site-response effect that arises from difference in the local soil conditions at different stations. Attenuation of waves, which also gives rise to spatial variability, is shown to have little influence on the coherency function. It is shown that the incoherence component of the coherency function is a real-valued, non-negative, decaying function of frequency and interstation distance, whereas the wave-passage and site-response components are complex functions of unit modulus that characterize the phasing of the wave components. A parametric study reveals that the site-response effect can be more significant for short- or medium-span structures situated in regions with rapidly varying local soil conditions, whereas the wave-passage effect can be more significant for long-span, flexible structures.     

相干体解释技术在三维地震勘探中的应用

主要讨论相干体技术在鲍店煤矿十采区实际地震资料中的应用。利用相干体的时间切片来分析相邻道地震信号的相似性,进而探测小断层和分析地质构造。通过对实际资料的分析解释可以看出,相干体技术是一种有效的断层解释方法,可以提高解释精度,缩短勘探周期。      

局部结构熵算法在地震数据不连续性检测中的应用

自从相干地震数据体概念被提出以来,许多学者提出了不同的基于相干性检测地质结构不连续性的算法。例如,基于特征结构的相干算法,局部结构熵算法以及第二与第一特征值比值算法等。本文基于小波变换具有多尺度多分辨率分析的优点,提出了在特定的小波变换分频瞬时属性上,利用局部结构熵算法来检测地震数据的局部不连续性。实际地震资料检测结果表明,基于分频瞬时相位的局部结构熵算法更能有效地检测到地震数据的细微变化,对于油气藏的精细刻画有重要意义。      

Extended MSRS rule for seismic analysis of bridges subjected to differential support motions

This paper introduces a generalized formulation of the multiple support response spectrum (MSRS) method (Earthquake Engng Struct. Dyn. 1992; 21 :713–740) and extends it by accounting for the quasi‐static contributions of truncated modes. The generalized formulation allows consideration of response quantities that involve support degrees of freedom (DOF). This situation arises for many response quantities of interest when rotational DOF are condensed out. New cross‐correlation coefficients are introduced in the extended rule and a parametric study is performed to gain insight and identify cases of ground motion spatial variability in which these terms are significant. An efficient computer implementation of the extended MSRS method is described and used for comprehensive analysis of two real bridge models with vastly different structural characteristics. The specified input is in accordance with standards used in engineering practice. The effects of differential support motions, including the influence of spatially varying soil conditions, on the pseudo‐static and dynamic components and the total response are examined and the improvement achieved with the extended MSRS method is assessed. Copyright © 2011 John Wiley & Sons, Ltd.     

Influence of irregular topography and random soil properties on coherency loss of spatial seismic ground motions

Coherency functions are used to describe the spatial variation of seismic ground motions at multiple supports of long span structures. Many coherency function models have been proposed based on theoretical derivation or measured spatial ground motion time histories at dense seismographic arrays. Most of them are suitable for modelling spatial ground motions on flat‐lying alluvial sites. It has been found that these coherency functions are not appropriate for modelling spatial variations of ground motions at sites with irregular topography (Struct. Saf. 1991; 10 (1):1–13). This paper investigates the influence of layered irregular sites and random soil properties on coherency functions of spatial ground motions on ground surface. Ground motion time histories at different locations on ground surface of the irregular site are generated based on the combined spectral representation method and one‐dimensional wave propagation theory. Random soil properties, including shear modulus, density and damping ratio of each layer, are assumed to follow normal distributions, and are modelled by the independent one‐dimensional random fields in the vertical direction. Monte‐Carlo simulations are employed to model the effect of random variations of soil properties on the simulated surface ground motion time histories. The coherency function is estimated from the simulated ground motion time histories. Numerical examples are presented to illustrate the proposed method. Numerical results show that coherency function directly relates to the spectral ratio of two local sites, and the influence of randomly varying soil properties at a canyon site on coherency functions of spatial surface ground motions cannot be neglected. Copyright © 2010 John Wiley & Sons, Ltd.     

基岩地震动的一个相干函数模型--倾滑断层情形

本文研究了基岩随机地震动的空间变化规律，考虑了震源破裂速度、子源个数、震源深度和介质传播速度等因素的影响。对应于每个样本，用数值模拟方法计算了采用震源位错模型的弹性半空间近场地震动场，最后通过统计方法给出了一个倾滑断层情形下的近场基岩地震动的相干函数模型。这一方法可以补充常用的统计方法因观测资料有限而导致的欠缺。     

A practical model for the power spectrum of spatially variant ground motion

This paper puts forward a model for the power spectrum of spatially variant ground motion. As compared with the other existing models, this model has two features: (1) It is the average result of multiple models and multiple earthquakes rather than the model proposed on the basis of the record of an earthquake given by a certain station array. (2) It has taken into account the variation of self-power spectral parameters from point to point.     

Nonlinear processes in earthquake foci

The results of laboratory experiments on biaxially compressed physical models of a seismic source are presented, discussed and interpreted in terms of nonlinear dynamics; the relation is shown between the degree of seismic pulse coherency (expressed through the amplitude frequency spectra development) and energy (or magnitude) in a series of model experiments. It has been ascertained that the degree of radiated waves coherency plays a more important role concerning the seismic energy release than the size (radius) of the seismic source.The relations among individual source parameters obtained in the laboratory were tested by the analysis of three series of seismograms of aftershocks which followed the 1988 Spitak earthquake (two series) and the 1975 Oroville earthquake (one series). The fundamental effect observed in the laboratory, i.e., the growth of pulse coherency with increasing stress concentration in the focal region (reflected in growing earthquake magnitude), was clearly manifested in all three earthquake aftershock series.Due to derivation by a comparison of the above results, obtained on the basis of nonlinear dynamics with the classical source models by Brune, Madariaga and others, it seems to be namely the self-organizing of the structure itself caused by the increasing stress field in the seismic source, which can answer the question concerning the degree of energy cumulation in the earthquake focus at a given moment.     

Acoustic imaging of an inhomogeneous sediment matrix

This paper presents and applies a new acoustic imaging approach to quantitatively determine geophysical parameters of complex inhomogeneous sediment layers. The concept is called an Acoustic Sub-seabed Interrogator or ASI and it is based on optimising the criteria of temporal and spatial resolution and of coherence by utilizing broadband, narrow beam calibrated sources and fixed receivers on a stationary platform.The ASI concept was experimentally tested over a complex pseudo-glacial till built at a scale of 20:1. Compressional velocity, attenuation losses and thickness values were easily attained using the ASI's coherent spatial scanning approach and through a discrete application of the Hilbert transform in the post processing of data. The simulations provided indepth insight into the model's physical and spatial variations and by statistical distribution emphasized the depositional processes involved in creating the layer. It is believed that the fundamental internal information elucidated by the ASI for the pseudo-till structure and illustrated in the resultant acoustic core cannot be attained using current marine geophysical and geotechnical techniques.