黏弹地球地震变形理论研究进展和展望

自Love(1911)研究了自重球体的弹性变形后,基于不同的黏弹性地球模型,许多科学家都对地震变形问题进行了深入研究,主要发展了基于半无限空间和球形地球模型的黏弹地球地震变形理论.地震变形问题通常经积分变换、基函数展开等技术处理后,简化为求解满足特定震源和地表边界条件的常微分方程组问题.针对这一独特的数学物理边值问题,本文以全解析、半解析和数值积分解等求解形式概述了近几十年发展的基于规则几何形态地球模型的黏弹地球地震变形理论,并讨论了各种方法的特点.此外,针对三维地球模型,本文也简单回顾了目前的研究进展和存在问题.总之,本文综述了过去半个多世纪以来的黏弹地球地震变形理论的发展历史、研究现状和最新进展,并讨论目前存在的问题和未来的发展趋势.     

Some comments on the effects of earth models on ground deformation modelling

Summary The computation of simple analytical models of surface displacements and gravity changes in layered elastic-gravitational medium and in an elastic half-space with point source of heat is presented. The comparison of the radial and vertical components of the displacement and gravity changes indicates that the horizontal changes of these quantities are smaller for the thermoelastic model than for the elastic-gravitational.     

断层走滑不均匀性对地面变形的影响

根据塞积群理论导出了走滑断层两端点固定时位移场随位置的不均匀分布解析表示关系,分析和讨论了断层上不同位置的位移场分布特征, 采用新导出的断层滑动不均匀分布公式对地面的水平位移场和垂直位移场进行了数值模拟计算,并与传统的Okada 位错模型在理论和计算结果上进行了对比分析.理论和计算结果分析表明：断层滑动不均匀分布公式是Okada位错模型在一定条件下理论上的扩展,而Okada位错模型是走滑不均匀公式的零阶近似;断层滑动不均匀分布公式与Okada 位错模型计算的地面位移场在走滑方向、垂直于断层走向和垂直于地面方向的近场变形差异最大在50%至65%之间,而最小差异在1%以内.     

新疆形变固体潮观测与中强地震关系的初步研究

分析了新疆几个形变台潮汐因子的时间分布及震兆异常特征,认为震兆异常的统计关系为：异常范围随着震级的增大而增大,5级地震前可能在100km范围出现异常,5．5级左右的地震可能达250km．而8级地震的异常范围则达到1000km以上;异常持续时间与震级呈正比关系,5级地震异常持续1～5个月,6级地震3～7个月;异常幅度与观测仪器的精度及环境干扰关系密切;部分台的γm2值受格值影响较大,在异常判定前必须做相关分析。     

Practical applications of a nonlinear approach to analysis of earthquake-induced liquefaction and deformation of earth structures

Seismic stability, liquefaction, and deformation of earth structures are critical issues in geotechnical earthquake engineering practice. At present, the equivalent linear approach is considered the ‘state of practice’ in common use. More recently, dynamic analyses incorporating nonlinear, effective-stress-based soil models have been used more frequently in engineering applications. This paper describes a bounding surface hypoplasticity model for sand [Wang ZL. Bounding surface hypoplasticity model for granular soils and its applications. PhD Dissertation for the University of California at Davis, U.M.I. Dissertation Information Service, Order No. 9110679; 1990; Wang ZL, Dafalias YF, Shen CK. Bounding surface hypoplasticity model for sand. ASCE, J Eng Mech 1990;116(5):983–1001; Wang ZL, Makdisi FI. Implementing a bounding surface hypoplasticity model for sand into the FLAC program. In: Proceedings of the international symposium on numerical modeling in geomechanics. Minnesota, USA; 1999. p. 483–90] incorporated into a two-dimensional finite difference analysis program [Itasca Consulting Group, Inc. FLAC (Fast Lagrangian Analysis of Continua), Version 4. Minneapolis, MN; 2000] to perform nonlinear, effective-stress analyses of soil structures. The soil properties needed to support such analyses are generally similar to those currently used for equivalent linear and approximate effective-stress analyses. The advantages of using a nonlinear approach are illustrated by comparison with results from the equivalent linear approach for a rockfill dam. The earthquake performance of a waterfront slope and an earth dam were evaluated to demonstrate the model's ability to simulate pore-pressure generation and liquefaction in cohesionless soils.     

利用常熟地震台同场地形变仪记录检测对比地球自由振荡信号

利用常熟地震台同场地观测的洞体应变仪、体应变仪、水管倾斜仪、垂直摆倾斜仪记录数据,采用小波变换与功率谱密度估计方法,检测2011年3月11日日本9.0级大地震激发的地球自由振荡信号,其中检测到47个球型基频振型（₀S₃—₀S₄₉）、15个环型基频振型（₀T₅—0T₂₅）以及部分球型谐频振型,与地球初步参考模型（PREM）理论频率值基本符合,表明检测结果较好。对比结果显示：水管倾斜仪检测球型振荡振型能力最强,垂直摆倾斜仪检测环型振荡振型能力最强;体应变仪可检测到清晰的环型基频振型,且信噪比较高;倾斜仪对自由振荡信号的检测能力优于应变仪。     

Simplified dynamic analysis to evaluate liquefaction-induced lateral deformation of earth slopes: a computational fluid dynamics approach

Lateral deformation of liquefiable soil is a cause of much damage during earthquakes, reportedly more than other forms of liquefaction-induced ground failures. Researchers have presented studies in which the liquefied soil is considered as viscous fluid. In this manner, the liquefied soil behaves as non-Newtonian fluid, whose viscosity decreases as the shear strain rate increases. The current study incorporates computational fluid dynamics to propose a simplified dynamic analysis for the liquefaction-induced lateral deformation of earth slopes. The numerical procedure involves a quasi-linear elastic model for small to moderate strains and a Bingham fluid model for large strain states during liquefaction. An iterative procedure is considered to estimate the strain-compatible shear stiffness of soil. The post-liquefaction residual strength of soil is considered as the initial Bingham viscosity. Performance of the numerical procedure is examined by using the results of centrifuge model and shaking table tests together with some field observations of lateral ground deformation. The results demonstrate that the proposed procedure predicts the time history of lateral ground deformation with a reasonable degree of precision.     

固体潮位移InSAR相位模拟及对广域地表形变监测的影响初探

固体地球潮汐（Solid earth tide,SET）在地表产生的径向位移可达40~50 cm,形变梯度可达2 cm/100 km,是各种精密大地测量和地球物理观测必须考虑的因素之一.随着星载合成孔径雷达干涉测量（Interferometric synthetic aperture radar,InSAR）地表形变监测范围的不断增大以及对精度要求不断提高,固体潮位移对InSAR观测的影响不容忽视.本文利用固体潮位移理论模型,根据InSAR测量基本原理和Sentinel-1卫星成像参数,模拟了固体潮位移InSAR相位,定量分析了其时空分布特征,并以我国江汉平原和北美大平原的Sentinel-1数据为例,探讨了固体潮位移InSAR相位对广域地表形变监测的影响.结果表明：（1）固体潮位移对InSAR广域地表形变监测存在较大影响,在250 km×250 km范围中,以C波段为例,其相位变化可达12 rad（对应52 mm视线向形变）;（2）固体潮位移相位在中低纬度（60°S—60°N）地区变化较大,两极地区较小,且在时间上具有明显的周期性;（3）在Sentinel-1 InSAR观测中,通过固体潮位移相位改正去除了干涉图中的部分低频相位偏差,相比原始干涉图,改正后的解缠相位标准差减小了约29%.本研究对于认识固体潮位移InSAR相位的时空分布特征以及提高星载InSAR广域地表形变监测的准确度与可靠性均具有重要意义.

     

地球去气作用

利用地质学、天文学、地球物理学、古生物学资料进行约束,对地球的去气作用进行研究发现：太阳系的部分冷物质,通过吸积作用形成早期地球.在碰撞动能转变的热能作用下,造成了早期地球的表面熔融.在熔融状态的高温高压作用下,构成地球表面物质的结晶水排出地表进入原始大气;在高温高压下分解的碳酸盐、硫酸盐、卤化物等产生的二氧化碳、硫化氢、二氧化硫、氯化氢、氟化氢等气体进入原始大气,和水蒸汽一道共同组成原始大气.当地球内部在重力势能和放射能的作用下继续熔融时,地球表面固化为原始岩石圈.后来,地球除表面岩石圈外,整个地球完全熔融.地球内部物质熔融形成的水和二氧化碳等气体,被岩石圈圈闭.只有当冰川形成和消融,引起造海和造陆作用,导致火山喷发和地震时,这些气体才可能排出地表.这些气体的排出,受地球内部的熔融状态、冰川形成的位置（是在海洋或是在陆地）、生物的演化、太阳光的强度等因素的综合影响.     

Dynamic pattern characteristics of fault deformation and gravity field in the development process of Yongdeng M S =5.8 earth quake

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Piezoelectric Rotational Accelerometers

The possibility of creating a piezoelectric seismometer for recording angular accelerations during rotary motion of soil and structures is substantiated. Two piezoelectric transducers with a common inertial mass are used in a single-component instrument. The accelerometer is based on the principle of compensation of electrical signals with opposite polarities from linear motion with the addition of the signals proportional to the rotation of the same sensors. The foundations of the theory and design elements of rotational piezoelectric accelerometers are considered. The advantages of the instruments are emphasized when they are used in the near-field zones of strong earthquakes.     

固体潮的地震预测研究与地球动力学研究之分析比较

本文分析了现行固体潮地震研究中的历史影响,对比研究了固体潮地震预测研究和固体潮地球动力学研究二者在振动频率、振动源体积、传输距离与介质等方面的地球物理特点与本质区别,强调了固体潮地震预测研究中最根本的工作是建立地震预测的目标和基本概念.     

Attenuation models of the earth

Free oscillation and body wave data are used to construct average Q models for the earth. The data set includes fundamental and overtone observations of the radial, spheroidal and toroidal modes, ScS observations and amplitudes of body waves as a function of distance. The preferred model includes a low-Q zone at both the top and the bottom of the mantle. In these regions the seismic velocities are likely to be frequency dependent in the “seismic” band. Absorption in the mantle is predominantly due to losses in shear. Compressional absorption may be important in the inner core.A grain-boundary relaxation model is proposed that explains the dominance of shear over compressional dissipation, the roughly frequency independent average values for Q and the variation of Q with depth. In the high-Q regions, the lithosphere and the midmantle (200–2000 km), Q is predicted to be frequency dependent. However, the low-Q regions of the earth, where Q is roughly frequency independent, dominate the observations of attenuation.     

旋转运动在地震学中的应用概述

旋转地震学是研究由天然地震、爆破和周围环境振动引起的地面旋转运动的新兴学科。对于它的研究不仅有助于对质点运动(平移运动、旋转运动和形变)进行完整的描述,而且对广义地球物理学,如强地面运动地震学、地震工程学、地震物理学、地震仪器等的研究也有重要指导意义。本文系统介绍了旋转运动在地震学中4个方面的应用。首先,介绍基于平移运动和旋转运动的共同测量,得出了计算远震瑞利波和勒夫波相速度的理论公式,并以西伯利亚地震为例,得出台站附近的相速度结构;其次,利用环形激光仪仅对地震SH波敏感的特性,分离P波和S波,分辨海洋噪声和面波,确定海洋噪声的反方位角;然后,介绍利用旋转传感器对自由振荡的长周期环形模式的观测;最后,对包含旋转观测量的多参数反演问题的重要性和实用性进行了阐述,并分析了旋转地震学研究现存的问题。     

关于地震动转动分量的研究

列举了多次地震中的地震动转动现象,概括了国内外对地震动转动分量的产生、传播、合成方法及其对结构的作用等方面的研究成果.还介绍了由地震动平动分量计算转动分量的弹性波动方法,并讨论了其局限性;还介绍了欧洲规范对转动分量的部分规定,指出有必要在结构抗震设计中考虑转动分量的作用.此外,在转动分量的产生、对结构的作用及数值模拟方面还做了一些假设与解释.     

A thermal model of the earth

A thermal model, consistent as far as possible with the parameterised earth model of Dziewonski et al. and with thermodynamic principles and relevant equations of state, is tabulated. This is made more secure by two recent developments, an experimental study of the FeS eutectic to 100 kbar by Usselman and a calculation by Bukowinski which reveals an electronic phase collapse of potassium in the 200–300 kbar range and explains the core heat source. Use is made of the Vashchenko-Zubarev formulation of the Grüneisen ratio, and Lindemann's melting law, both of which have been shown recently to have particular relevance at very high pressures. Values of electronic specific heat and the Grüneisen ratio, which contribute significantly to core properties are calculated from the electron equation of state of Zharkov and Kalinin.     

Global electrical conductivity of the earth

The Banks (1969, 1972) and Parker (1970) models of the electrical conductivity distribution are critically reviewed along with classical models by Chapman (1919), Lahiri and Price (1939), Rikitake (1950a, b, c) and others. The modern models do not seem to account for the geomagnetic variations having a continuum spectrum and S_q at the same time. A large difference in response between the 1-day and 0.5-day period components of S_q is suspected to be caused by a resonance-like induction in the superficial layer of the earth. Dufficulties in determining the conductivity of the earth's top layer are also emphasized.An overall distribution of conductivity within the earth which seems to be the most reliable at present, is drawn mostly on the basis of Banks' model.