球坐标系下三维大地电磁正演研究   总被引：1，自引：0，他引：1       下载免费PDF全文

罗威  王绪本  王堃鹏  张刚  李德伟 《地球物理学报》2019,62(10):3885-3897

大地电磁正演理论研究热点一直以来主要集中在如何提高计算效率和精度,但在剖面足够长、探测深度足够大的情况下,传统的笛卡尔坐标系数值模拟方式难以准确拟合地球曲率形态.本文研究了基于球坐标系的三维大地电磁正演,推导了交错网格有限差分三维正演公式,与一维解析解和三维标准模型测试对比,验证了正演算法的正确性.通过理论模型计算,对比分析球坐标和笛卡尔坐标系正演结果表明：球坐标系模拟更合理,避免了传统笛卡尔坐标拉伸投影所引入的误差,可代替目前的笛卡尔坐标模拟方法.基于球坐标和笛卡尔坐标系的三维大地电磁正演响应值随着频率变低差异越明显.球坐标和笛卡尔坐标计算结果差异度与频率、模型结构和电阻率有关.本文模型计算结果在数万秒周期处已出现接近10%的差异,对于较大尺度的长周期大地电磁,地球曲率的影响不能忽略.  相似文献   

Instability of planetary flows using Riemann curvature: a numerical study     

Richard Blender 《地球物理与天体物理流体动力学》2019,113(5-6):594-601

ABSTRACT

The instability of ideal non-divergent zonal flows on the sphere is determined numerically by the instability criterion of Arnold (Ann. Inst. Fourier 1966, 16, 319) for the sectional curvature. Zonal flows are unstable for all perturbations besides for a small set which are in approximate resonance. The planetary rotation is stable and the presence of rotation reduces the instability of perturbations.  相似文献   

中亚地震目录震级转换及其完整性分析   总被引：1，自引：0，他引：1  

吴果  周庆  冉洪流 《震灾防御技术》2014,9(3):368-383

为编制能够应用于地震危险性分析的中亚地区统一震级标度为矩震级的地震目录,从国际地震中心（ISC）下载得到该地区1907-2012年的地震数据,该数据包含众多机构不同震级标度的地震记录.以MW,GCMT为参考机构震级标度,并用最小二乘法拟合了其他机构震级标度与MW,GCMT之间的转换关系.在挑选某次地震事件的唯一震级记录时,以对应转换关系的相关系数大且剩余标准差小为准则进行筛选.对于少量没有震级转换关系或者拟合优度过差的地震记录,使用间接转换关系或者全球转换关系予以补充转换.震级转换后,用时空窗法删除前余震,并考虑构造环境和地震活动水平的空间差异性将研究区划分成5个子区域.采用地震记录时间累积曲线法、最大曲率法（MAXC）和拟合优度检验法（GFT）综合分析各个分区的最小完整震级（MC）,并在此基础上用极大似然法拟合相应的地震活动性参数.结果表明,每种完整性分析方法各具一定的优缺点,但采用综合分析的方法能够得出最佳的MC.地震记录时间累积曲线法能分析出高质量地震目录的起始时间,以作为后两种方法的基础,但容易受到地震活动水平随时间波动的影响.由于研究区目录质量较差,最大曲率法误差过大以至于只能作为其他方法的补充,拟合优度检验法的GFT参数也普遍只能达到80％左右.GFT最大值点可能并不对应MC,但是MC通常都在GFT极大值点取得.5个分区1964-2012年的MC普遍在Mw4.8左右,b值在1.136-1.514之间波动.  相似文献   

基于曲率模态和小波变换的结构损伤位置识别   总被引：12，自引：3，他引：9  

孙增寿  韩建刚  任伟新 《地震工程与工程振动》2005,25(4):44-49

小波变换具有在时域和频域内表征信号局部特性的能力,能够在不同尺度下对结构响应中的突变信号进行放大和识别.在结构曲率模态基础上,本文提出了一种基于小波变换的结构损伤检测和定位方法.利用双正交小波函数对损伤前后结构的曲率模态进行小波变换,用损伤前后小波变换系数残差建立了结构损伤指标,通过小波变换系数残差的分布统计情况判定损伤的存在并确定其位置.应用简支梁数值模拟结果对该方法进行了验证.  相似文献   

Automatic tracing of the foot of the continental slope   总被引：1，自引：0，他引：1  

Ziqiang Ou  Petr Vaníček 《Marine Geodesy》2013,36(2):181-195

The UNCLOS III (Article 76, Section 4(b)) defines the foot of the continental slope as the point of maximum change in the gradient at its base. It is impossible to locate so defined afoot and thus to trace the foot‐line objectively by eye. In this study we show a method designed automatically to detect and trace the foot‐line of the continental slope from an irregular array of bathymetrical data. Our algorithm first transforms the bathymetric surface to a maximum curvature surface. On this new surface, the foot‐line corresponds to one of the ridges; instead of tracing the foot‐line on the bathymetric surface, we now can trace the ridges on the maximum curvature surface. The tracing of the ridges can be done automatically and objectively and the foot‐line is identified as being one of these ridges. We devote particular attention to the case when the ridge‐line is not defined, i.e., to the case when the point of maximum gradient change becomes a region of maximum gradient change.  相似文献   

�ڳ�������ϵ��GNSS��λ���ת�������о�     

卞和方  张书毕  张秋昭  郑南山 《大地测量与地球动力学》2012,32(4):83-86

????????????????????????????????????????????GNSS??λ????????????????????????????????????????????????????λ?????????????????????????????????????????γ??????????????????????λ????????????????????????????????t???????????????????????  相似文献   

曲率半径对大温差地区小半径曲线梁桥地震响应影响分析          下载免费PDF全文

丁万鹏  虞庐松  李子奇  王力 《地震工程学报》2022,44(1):93-99

为研究曲率半径和近断层脉冲效应对大温差地区小半径曲线梁桥在地震作用下的动力响应和碰撞效应的影响规律,以某大温差地区曲线梁桥为研究对象,建立不同曲率半径的全桥非线性有限元模型,考虑温度变化对支座性能和伸缩缝间距的影响,开展桥梁地震响应分析.结果表明:随着主梁曲率半径增大,墩底内力响应逐渐增加,邻梁间碰撞效应逐渐增强;温度...  相似文献   

改进曲率模态识别桥梁损伤位置方法研究     

常军  任永辉  陈忠汉 《地震工程与工程振动》2010,30(4)

结构健康监测和结构状态评估的主要前提之一是结构损伤识别。基于曲率模态对结构局部损伤比较敏感和频率指标测试简单方便、精度高的特点,本文提出了一种以结构的曲率模态为基础,综合考虑频率的变化的改进的结构损伤识别方法。随机子空间方法是一种行之有效的基于环境激励的结构状态识别方法。该方法的主要优点是无需人工激励,不中断桥梁的运营。为此,论文提出了一种不中断桥梁运营的基于改进曲率模态的桥梁结构损伤识别方法。最后用一三跨连续梁的有限元模型对该改进方法进行了验证。结果表明,采用随机子空间结合改进的曲率模态方法可以在不中断桥梁运营的前提下有效地识别出桥梁的损伤状况。  相似文献   

动态非线性滤波模型非线性强度的曲率度量及其应用     

宫轶松  归庆明  李保利  边少峰 《武汉大学学报(信息科学版)》2011,(8)

基于微分几何的两种曲率——参数影响曲率和固有曲率,给出了定量描述非线性滤波问题的非线性强度的方法,分别采用扩展Kalman滤波方法和Unscented Kalman滤波方法进行了模拟实验。结果验证了这些曲率确实能够度量非线性滤波问题的非线性强度,且能够评估非线性滤波算法的状态估计性能。  相似文献   

Theory and experimental study for sliding isolators with variable curvature     

Lyan‐Ywan Lu  Shih‐Wei Yeh 《地震工程与结构动力学》2011,40(14):1609-1627

Because a conventional isolation system with constant isolation frequency is usually a long‐period dynamic system, its seismic response is likely to be amplified in earthquakes with strong long‐period wave components, such as near‐fault ground motions. Seismic isolators with variable mechanical properties may provide a promising solution to alleviate this problem. To this end, in this work sliding isolators with variable curvature (SIVC) were studied experimentally. An SIVC isolator is similar to a friction pendulum system (FPS) isolator, except that its sliding surface has variable curvature rather being spherical. As a result, the SIVC's isolation stiffness that is proportional to the curvature becomes a function of the isolator displacement. By appropriately designing the geometry of the sliding surface, the SIVC is able to possess favorable hysteretic behavior. In order to prove the applicability of the SIVC concept, several prototype SIVC isolators, whose sliding surfaces are defined by a sixth‐order polynomial function, were fabricated and tested in this study. A cyclic element test on the prototype SIVC isolators and a shaking table test on an SIVC isolated steel frame were all conducted. The results of both tests have verified that the prototype SIVC isolators do indeed have the hysteretic property of variable stiffness as prescribed by the derived formulas in this study. Moreover, it is also demonstrated that the proposed SIVC is able to effectively reduce the isolator drift in a near‐fault earthquake with strong long‐period components, as compared with that of an FPS system with the same friction coefficient. Copyright © 2011 John Wiley & Sons, Ltd.  相似文献