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H. M. Hussein K. M. Abou Elenean I. A. Marzouk A. Peresan I. M. Korrat E. Abu El-Nader G. F. Panza M. N. El-Gabry 《Natural Hazards》2008,47(3):525-546
The aim of the present work is to compile and update a catalogue of the instrumentally recorded earthquakes in Egypt, with
uniform and homogeneous source parameters as required for the analysis of seismicity and seismic hazard assessment. This in
turn requires a detailed analysis and comparison of the properties of different available sources, including the distribution
of events with time, the magnitude completeness, and the scaling relations between different kinds of magnitude reported by
different agencies. The observational data cover the time interval 1900–2004 and an area between 22°–33.5° N and 25°–36° E.
The linear regressions between various magnitude types have been evaluated for different magnitude ranges. Using the best
linear relationship determined for each available pair of magnitudes, as well as those identified between the magnitudes and
the seismic moment, we convert the different magnitude types into moment magnitudes M
W, through a multi-step conversion process. Analysis of the catalogue completeness, based on the M
W thus estimated, allows us to identify two different time intervals with homogeneous properties. The first one (1900–1984)
appears to be complete for M
W ≥ 4.5, while the second one (1985–2004) can be considered complete for magnitudes M
W ≥ 3. 相似文献
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This paper gives the results of a programme attempting to exploit ‘la seule bréche’ (Poincaré, 1892, p. 82) of non-integrable systems, namely to develop an approximate general solution for the three out of its four component-solutions of the planar restricted three-body problem. This is accomplished by computing a large number of families of ‘solutions précieuses’ (periodic solutions) covering densely the space of initial conditions of this problem. More specifically, we calculated numerically and only for μ = 0.4, all families of symmetric periodic solutions (1st component of the general solution) existing in the domain D:(x
0 ∊ [−2,2],C ∊ [−2,5]) of the (x
0, C) space and consisting of symmetric solutions re-entering after 1 up to 50 revolutions (see graph in Fig. 4). Then we tested the parts of the domain D that is void of such families and established that they belong to the category of escape motions (2nd component of the general solution). The approximation of the 3rd component (asymmetric solutions) we shall present in a future publication. The 4th component of the general solution of the problem, namely the one consisting of the bounded non-periodic solutions, is considered as approximated by those of the 1st or the 2nd component on account of the `Last Geometric Theorem of Poincaré' (Birkhoff, 1913). The results obtained provoked interest to repeat the same work inside the larger closed domain D:(x
0 ∊ [−6,2], C ∊ [−5,5]) and the results are presented in Fig. 15. A test run of the programme developed led to reproduction of the results presented by Hénon (1965) with better accuracy and many additional families not included in the sited paper. Pointer directions construed from the main body of results led to the definition of useful concepts of the basic family of order
n, n = 1, 2,… and the completeness criterion of the solution inside a compact sub-domain of the (x
0, C) space. The same results inspired the ‘partition theorem’, which conjectures the possibility of partitioning an initial conditions domain D into a finite set of sub-domains D
i that fulfill the completeness criterion and allow complete approximation of the general solution of this problem by computing a relatively small number of family curves. The numerical results of this project include a large number of families that were computed in detail covering their natural termination, the morphology, and stability of their member solutions. Zooming into sub-domains of D permitted clear presentation of the families of symmetric solutions contained in them. Such zooming was made for various values of the parameter N, which defines the re-entrance revolutions number, which was selected to be from 50 to 500. The areas generating escape solutions have being investigated. In Appendix A we present families of symmetric solutions terminating at asymptotic solutions, and in Appendix B the morphology of large period symmetric solutions though examples of orbits that re-enter after from 8 to 500 revolutions. The paper concludes that approximations of the general solution of the planar restricted problem is possible and presents such approximations, only for some sub-domains that fulfill the completeness criterion, on the basis of sufficiently large number of families. 相似文献
3.
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
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
4.
History of Paleoseismic Activity Along the Hohhot Segment of Daqingshan Piedmont Fault in the Late Quaternary 总被引：1，自引：0，他引：1
INTRODUCTIONTheDaqingshanpledmont扭nit Is an irllt,oltant active normal tsult In the active fault－depressionzone——Hetao ault－depression zone In the northern part of Ordos Block,North China．It lies in ENEdirection long the southern pledmont of Daqingshan Mountain,dips to south,and extends for 200 kmor。。The fault was formed In the Eocene and strongly activated In the Cenozolc．Its verticaldlspl。ement exceeds 2400 m since the Quaternary(Rese。h Group on Ordos Block,State… 相似文献
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三维CT图象精确重建的源点轨迹 总被引：2，自引：0，他引：2
本文从三维锥束精度重建的完全条件出发，着重介绍了几种满足完全条件的源点轨迹及其参数沦描述，给出并证明了控制轨迹尺寸的相关变量的取值范围。 相似文献
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大青山山前断裂呼和浩特段晚第四纪古地震活动历史 总被引：8，自引：1，他引：8
通过沿大青山山前断裂呼和浩特段的奎素、乌兰不浪和青山牧场 3个地点地貌面和探槽组的精细研究 ,揭露出该断裂段距今约 1 9万年以来共发生 7次古地震事件。它们分别发生在距今约 1 875± 0 0 75、1 6 97± 0 0 96、1 4 6 5± 0 0 6 7、1 182± 0 0 6 9、0 94 5± 0 0 2 6、0 6 83±0 0 2 6和 0 4 5 0± 0 0 2 3万年 ,平均重复间隔 2 375± 4 32年。由断层位移量限定法和多探槽校验法判定 ,这一时期该断裂段的古地震活动历史是完整的 相似文献
9.
An important unanswered mathematical question in the theory of rotating fluids has been the completeness of the inviscid eigenfunctions which are usually referred to as inertial waves or inertial modes. We provide for the first time a mathematical proof for the completeness of the inertial modes in a rotating annular channel by establishing the completeness relation, or Parseval’s equality, for any piecewise continuous, differentiable velocity of an incompressible fluid. 相似文献
10.
本文将5种估计完备震级(magnitude of completeness,简记为Mc)的方法运用在三个不同模型产生的理论地震目录上,进而对比它们的优缺点.我们发现分段斜率中值分析法MBASS(The Median-based analysis of the segment slope)适用于不完备部分台网探测地震能力随震级变化快及监测能力在时间上存在不均匀性(heterogeneity)的目录中,但是要求目录包含大量的地震事件,而b值稳定法MBS(The Mcby b-value stability approach)则适合用于台网探测地震能力随震级减小衰减慢地震目录,但是比较费时.最大曲率法MAXC(The Maximum Curvature technique)和拟合优度测试法GFT(The Goodness-of-Fit Test)在使用时都低估Mc,需要加调整量.完整性震级范围法EMR(Mcfrom Entire Magnitude Range)则一般给出比较稳定、适中的Mc估计值.这种方法适用在地震数目少,且对地震丢失容忍度比较高的情况.在实践中针对不同性质的地震目录,我们希望这项研究能帮助研究者选择最合适估计完备震级Mc的方法,并指出了一些估计完备震级中应当避免的问题. 相似文献