Lippmann-Schwinger积分方程广义超松弛迭代解法及其收敛特性          下载免费PDF全文

徐杨杨  孙建国  商耀达  孟祥羽  魏脯力 《地球物理学报》2021,64(1):249-262

为克服Born级数只适用于弱散射和短程传播的弱点,从光学散射理论中引入了针对强光学散射问题的Lippmann-Schwinger方程广义超松弛迭代解法,并对这种方法在反射地震条件下的算法表现、收敛特点、计算效率以及计算精度等问题进行了分析和讨论.理论分析和数值计算结果均表明:(1)与散射级数重整化相比,超松弛法具有更坚实的数学基础;(2)超松弛法可以有效地克服Born级数的弱点,得到与有限差分相当的数值模拟结果;(3)在反射地震条件下LS方程超松弛法表现优异,完全可以解决反射地震数值模拟中的强散射问题.  相似文献   

强震孕育、发生及其复发循环过程的有限单元法模拟          下载免费PDF全文

袁杰  崔泽飞  朱守彪  王进廷 《地球物理学报》2021,64(2):537-545

强震孕育发生及其复发过程的定量研究对于预测预报地震有着重要的科学意义;合理连续地计算地震孕育、同震破裂过程及其复发循环特征将有助于我们更好地认识强震发生的时空分布规律.为此,本文基于Newmark隐式时间积分法,根据模拟孕震-同震循环过程的特殊要求,发展了一种新的有限单元计算方法.新方法具有以下特点:(1)在不改变时间积分方法的情况下,实现对时间步长进行自动平滑地缩放,进而可以连续的模拟准静态、动态不同力学状态下的孕震-同震循环过程;(2)模型的初始应力场非人为指定,计算时通过施加重力及缓慢的构造加载获得;(3)地震破裂的成核区域及成核方式等亦非人为给定,模拟中破裂成核是自然形成的,这样更加符合实际地震地质情况.通过大量的模型计算,其结果表明,新的计算方法可以连续稳定的模拟断层孕震-同震及其循环过程,计算结果不仅可以给出强震的复发间隔,同时还可以给出地震时断层破裂行为的详细过程.此外,本文还考察了摩擦系数对地震准周期性的影响,发现断层上的静、动摩擦系数差值直接影响着断层的强震复发周期,两者差值越小,复发周期越短;差值越大,复发间隔越长.  相似文献   

模拟地震波传播的三维逐元并行谱元法   总被引：2，自引：0，他引：2  

刘少林  杨顶辉  徐锡伟  李小凡  申文豪  刘有山 《地球物理学报》2021,64(3):993-1005

高效地震波场正演模拟对于复杂模型中地震波传播与成像研究至关重要.本文在谱元法原理框架内,对已有逐元谱元法改进,提出一种新的逐元并行谱元法求解三维地震波运动方程,并得到地震波场.逐元并行谱元法的核心思想在于在单元上进行质量矩阵与解向量的乘积运算,并将此运算平均分配至每一个CPU计算核心,此处理有利提升谱元法的并行计算效率.同时,根据Gauss-Lobatto-Legendre(GLL)数值积分点与插值点重合的特点,将稠密单元刚度矩阵的存储转化成单元雅克比矩阵行列式的值及其逆的存储,大幅减少谱元法计算内存开销.此外,在模型边界上利用逐元并行谱元法求解二阶位移形式完美匹配层(PML)吸收边界条件,消除边界截断而引入的虚假反射.通过逐元并行谱元法得到的数值解与解析解对比,以及实际地震波场模拟,数值结果证实了逐元并行谱元法用于地震波场模拟的高效性.  相似文献   

Effects of petrophysical parameters on attenuation and dispersion of seismic waves in the simplified poroelastic theory: Comparison between the Biot's theory and viscosity‐extended theory     

Haixia Zhao  Bangyu Wu  Jinghuai Gao 《Geophysical Prospecting》2021,69(1):204-219

The simplified macro‐equations of porous elastic media are presented based on Hickey's theory upon ignoring effects of thermomechanical coupling and fluctuations of porosity and density induced by passing waves. The macro‐equations with definite physical parameters predict two types of compressional waves (P wave) and two types of shear waves (S wave). The first types of P and S waves, similar to the fast P wave and S wave in Biot's theory, propagate with fast velocity and have relatively weak dispersion and attenuation, while the second types of waves behave as diffusive modes due to their distinct dispersion and strong attenuation. The second S wave resulting from the bulk and shear viscous loss within pore fluid is slower than the second P wave but with strong attenuation at lower frequencies. Based on the simplified porous elastic equations, the effects of petrophysical parameters (permeability, porosity, coupling density and fluid viscosity) on the velocity dispersion and attenuation of P and S waves are studied in brine‐saturated sandstone compared with the results of Biot's theory. The results show that the dispersion and attenuation of P waves in simplified theory are stronger than those of Biot's theory and appear at slightly lower frequencies because of the existence of bulk and shear viscous loss within pore fluid. The properties of the first S wave are almost consistent with the S wave in Biot's theory, while the second S wave not included in Biot's theory even dies off around its source due to its extremely strong attenuation. The permeability and porosity have an obvious impact on the velocity dispersion and attenuation of both P and S waves. Higher permeabilities make the peaks of attenuation shift towards lower frequencies. Higher porosities correspond to higher dispersion and attenuation. Moreover, the inertial coupling between fluid and solid induces weak velocity dispersion and attenuation of both P and S waves at higher frequencies, whereas the fluid viscosity dominates the dispersion and attenuation in a macroscopic porous medium. Besides, the heavy oil sand is used to investigate the influence of high viscous fluid on the dispersion and attenuation of both P and S waves. The dispersion and attenuation in heavy oil sand are stronger than those in brine‐saturated sandstone due to the considerable shear viscosity of heavy oil. Seismic properties are strongly influenced by the fluid viscosity; thus, viscosity should be included in fluid properties to explain solid–fluid combination behaviour properly.  相似文献   

Estimating economic losses of midrise reinforced concrete shear wall buildings in sedimentary basins by combining empirical and simulated seismic hazard characterizations     

Pouria Kourehpaz  Carlos Molina Hutt  Nasser A. Marafi  Jeffrey W. Berman  Marc O. Eberhard 《地震工程与结构动力学》2021,50(1):26-42

Studies of recorded ground motions and simulations have shown that deep sedimentary basins can greatly increase the intensity of earthquake ground motions within a period range of approximately 1–4 s, but the economic impacts of basin effects are uncertain. This paper estimates key economic indicators of seismic performance, expressed in terms of earthquake‐induced repair costs, using empirical and simulated seismic hazard characterizations that account for the effects of basins. The methodology used is general, but the estimates are made for a series of eight‐ to 24‐story residential reinforced concrete shear wall archetype buildings in Seattle, WA, whose design neglects basin effects. All buildings are designed to comply with code‐minimum requirements (i.e., reference archetypes), as well as a series of design enhancements, which include (a) increasing design forces, (b) decreasing drift limits, and (c) a combination of these strategies. As an additional reference point, a performance‐based design is also assessed. The performance of the archetype buildings is evaluated for the seismic hazard level in Seattle according to the 2018 National Seismic Hazard Model (2018 NSHM), which explicitly considers basin effects. Inclusion of basin effects results in an average threefold increase in annualized losses for all archetypes. Incorporating physics‐based ground motion simulations to represent the large‐magnitude Cascadia subduction interface earthquake contribution to the hazard results in a further increase of 22% relative to the 2018 NSHM. The most effective of the design strategies considered combines a 25% increase in strength with a reduction in drift limits to 1.5%.  相似文献   

青海玛多7.4级地震烈度快速评估   总被引：1，自引：1，他引：0       下载免费PDF全文

张灿  陈文凯  司宏俊  赵怀群 《地震工程学报》2021,43(4):876-882

利用青海地震烈度衰减模型和基于断层最短距离的地震动参数衰减模型对青海玛多7.4级地震的烈度分布进行快速评估,将评估结果与实际烈度图对比分析。研究结果表明:两种模型可以在地震正式速报后1分钟内得到地震烈度分布的快速评估结果,时效性强,可以在最短的时间内为应急指挥和救援工作提供参考;青海地震烈度衰减模型计算结果比较理想化,在大致范围上有一定的参考性,但在重灾区范围上与此次实际结果存在偏差;基于断层最短距离的地震动参数衰减模型的PGV-v_(S30)计算结果较青海地震烈度衰减模型更为精细,在高烈度区的评估中具有较好的实际应用价值;相较于冉洪流等研究的地表破裂与震级的经验关系,Wells等研究的经验关系在本次地震中的适用性更好。文章研究结果在此次实际地震应急响应中进行了应用,为政府应急指挥决策和应急救援提供了重要数据支撑。  相似文献   

耦合地震动下地铁车站的动力响应研究          下载免费PDF全文

张涵  张西文 《地震工程学报》2021,43(1):245-250

耦合地震动对地铁车站结构的响应较为复杂,本文运用有限单元法进行动力时程分析,研究地铁车站结构承受水平、竖向和双向耦合地震动作用下的动力响应规律。结果表明:(1)耦合地震动对结构相对水平位移影响较小,但对结构的相对竖向位移影响较大。(2)耦合地震动会减小中柱主应力值,但并未较大程度上改变中柱主应力值大小分布情况。(3)车站中柱底部和各节点位置在单向以及耦合地震动中都为结构的薄弱位置,需要在抗震设计中着重注意。  相似文献   

基于机器学习的地震动特征提取与模拟以2021年云南漾濞6.4级地震为例          下载免费PDF全文

靳超越  胡进军  胡磊  王中伟 《世界地震工程》2021,(4):073-80

随着地震动数据数量的增长和质量的提高,将基于数据驱动的机器学习方法应用到地震动模拟中有重要意义。以2021年5月21日云南漾濞M_S6.4地震为例,利用主成分析方法从前震及余震地震动记录中提取特征母波时程,将地震动三要素作为模拟误差约束,在求解母波的线性组合系数时使用多目标优化算法寻优,最终找到帕累托最优解作为模拟目标台站记录时的组合系数,得到模拟地震动时程。结果表明:主成分析法在对实际地震动记录进行特征提取后,得到的特征母波时程可以在一定程度上保留原始数据的主要信息;考虑幅值、频谱和持时这三要素的角度去控制模拟误差,可以使得模拟的地震动时程更加接近真实记录。提出的基于特征提取的地震动模拟方法可以为基于小震数据合成大震地震动提供参考。  相似文献   

CFRP加固一字形竖缝耗能预制剪力墙抗震性能研究     

王宇亮  何斌  张玉敏  李祥  庞豹 《震灾防御技术》2021,16(3):544-553

以一字形竖缝耗能预制剪力墙作为研究对象,设计了3个装配式剪力墙试件及1个现浇剪力墙对比试件,进行低周往复荷载试验,并对破坏墙体进行CFRP加固,再次进行拟静力试验。试件变化参数包括轴压比、混凝土强度等级及配筋率,对比分析加固前后试件滞回性能、刚度退化、承载力和耗能能力等性能。试验结果表明,与现浇剪力墙相比,一字形竖缝耗能预制剪力墙工作性能良好,阻尼器屈服耗能提高了试件整体工作性能;CFRP加固可有效抑制墙体斜裂缝的发展,对墙体承载力及耗能能力均有显著改善作用;各试件均满足剪力墙弹塑性层间位移角限值要求,延性较好;试件整体表现出良好的抗震性能。  相似文献   

地震安全性评价制度改革的问题与展望     

黎益仕  张红  余积明  张令心  林碧苍  赵凤新 《震灾防御技术》2021,16(4):781-788

地震安全性评价制度是地震灾害预防制度的重要组成部分,自中华人民共和国成立之初演化发展至20世纪90年代基本成形,并纳入《中华人民共和国防震减灾法》。在深化“放管服”改革中,国务院先后取消了地震安全性评价资质许可和结果审定的行政审批事项,提出施行区域评估。在建立新制度过程中,面临着审批部门须承担委托开展地震安全性评价责任、区域性地震安全性评价与地震小区划及地震区划同质化、地震安全性评价结果质量监管困难、重大建设工程“应评未评”“评而未用”等问题。本文在分析地震安全性评价制度历史变迁、改革现状的基础上,提出地震安全性评价制度改革的展望,以期为地震安全性评价制度改革和《中华人民共和国防震减灾法》《地震安全性评价管理条例》修订提供参考。  相似文献