Correlations in aftershock and seismicity patterns     

Robert Shcherbakov  Jordan Van Aalsburg  John B. Rundle  Donald L. Turcotte   《Tectonophysics》2006,413(1-2):53

Correlations in space and time play a fundamental role in earthquake processes. One direct manifestation of the effects of correlations is the occurrence of aftershocks due to the stress transfer in the vicinity of a main shock. Less obvious and more speculative changes in correlations may occur in the background seismicity before large earthquakes. Using statistical physics it is possible to introduce a measure of spatial correlations through a correlation length. This quantity characterizes how local fluctuations can influence the occurrence of earthquakes over distances comparable with the correlation length. In this work, the physical basis of spatial correlations of earthquakes is discussed in the context of critical phenomena and the percolation problem. The method of two-point correlation function is applied to the seismicity of California. Well defined variations in time of the correlation length are found for aftershock sequences and background seismicity. The scaling properties of our obtained distributions are analyzed with respect to changes in several scaling parameters such as lower magnitude cutoff of earthquakes, the maximum time interval between earthquakes, and the spatial size of the area considered. This scaling behavior can be described in a unified manner by utilizing the multifractal fit. Utilizing the percolation approach the time evolution of clusters of earthquakes is studied with the correlation length defined in terms of the radius of gyration of clusters. This method is applied to the seismicity of California.  相似文献   

后方交会法配合可编程计算器在测量放线中的应用     

廖志平 《中国煤田地质》2004,16(1):60-61

介绍了后方交会及支导线的计算方法，探讨了Casio Fx4500计算器程序的编制，说明后方交会法配合可编程计算程序在道路施工及其它测量放线过程中不仅克服了其路基不平等许多不便之处，而且大大提高了测量放线的速度和精度，值得推广应用。  相似文献   

利用微机进行航片转绘     

杨存建 《测绘科学》1994,(2)

本文所述方法的基本思路是：根据空间后方交会原理建立单张航片的投影变换模型，利用扫描仪输入航片调绘数据和地形高程数据，利用投影变换模型对航片数据进行变换处理，从而实现对航片的转绘。该方法适用于高山、丘陵、平地的航片转绘。  相似文献   

空间后交的一种新算法     

黄幼才 《武汉大学学报(信息科学版)》1994,(4)

根据矩阵理论，推导了空间后交的一种新算法．这种方法简单易行，无需线性化，其计算结果、精度与传统方法一致．  相似文献   

Comparison of resection–intersection algorithms and projection geometries in radiostereometry     

Niclas Brlin 《ISPRS Journal of Photogrammetry and Remote Sensing》2002,56(5-6)

Three resection–intersection algorithms were applied to simulated projections and clinical data from radiostereometric patients. On simulated data, the more advanced bundle-adjustment-based algorithms outperformed the classical Selvik algorithm, even if the error reductions were small for some parameters. On clinical data, the results were inconclusive.The two different projection geometries had a much larger influence on the error size and distribution. For the biplanar configuration, the position and motion errors were small and almost isotropic. For the uniplanar configuration, the position errors were comparably high and anisotropic, but still resulted in a high accuracy for some motion parameters at the expense of others.The simplified resection–intersection algorithm by Selvik may still be considered a good and robust algorithm for radiostereometry. More studies will have to be performed to find out how the theoretical advantages of the bundle methods can be utilized in clinical radiostereometry.  相似文献   

Groebner-basis solution of the three-dimensional resection problem (P4P)     

J. L. Awange  E. W. Grafarend 《Journal of Geodesy》2003,77(5-6):327-337

The three-dimensional (3-D) resection problem is usually solved by first obtaining the distances connecting the unknown point P{X,Y,Z} to the known points P_i{X_i,Y_i,Z_i}i=1,2,3 through the solution of the three nonlinear Grunert equations and then using the obtained distances to determine the position {X,Y,Z} and the 3-D orientation parameters {,, }. Starting from the work of the German J. A. Grunert (1841), the Grunert equations have been solved in several substitutional steps and the desire as evidenced by several publications has been to reduce these number of steps. Similarly, the 3-D ranging step for position determination which follows the distance determination step involves the solution of three nonlinear ranging (`Bogenschnitt') equations solved in several substitution steps. It is illustrated how the algebraic technique of Groebner basis solves explicitly the nonlinear Grunert distance equations and the nonlinear 3-D ranging (`Bogenschnitt') equations in a single step once the equations have been converted into algebraic (polynomial) form. In particular, the algebraic tool of the Groebner basis provides symbolic solutions to the problem of 3-D resection. The various forward and backward substitution steps inherent in the classical closed-form solutions of the problem are avoided. Similar to the Gauss elimination technique in linear systems of equations, the Groebner basis eliminates several variables in a multivariate system of nonlinear equations in such a manner that the end product normally consists of a univariate polynomial whose roots can be determined by existing programs e.g. by using the roots command in Matlab.Acknowledgments.The first author wishes to acknowledge the support of JSPS (Japan Society of Promotion of Science) for the financial support that enabled the completion of the write-up of the paper at Kyoto University, Japan. The author is further grateful for the warm welcome and the good working atmosphere provided by his hosts Professors S. Takemoto and Y. Fukuda of the Department of Geophysics, Graduate School of Science, Kyoto University, Japan.  相似文献   

后方交会在排土场沉降监测中应用的探讨     

孙坤  田彬 《测绘与空间地理信息》2014,(11)

排土场是露天矿山的重大危险源之一,其沉降监测一直以来备受重视。本文根据某露天钼矿排土场沉降监测方法及特点,提出利用全站仪后方交会的方法进行沉降观测,通过观测实验,分别对测角、测边后方交会的坐标数据进行比较分析,综合考虑数据的精度和产生误差的原因,并依此得出测边后方交会更加适合于该露天钼矿排土场沉降观测的结论。  相似文献   

边角后方交会在高铁板式无碴轨道放样中的应用     

陈慧建  周世健 《测绘与空间地理信息》2015,(4)

智能型全站仪结合边角后方交会原理在高速铁路测量工作中得到广泛应用,其在CPⅢ高精度铺轨控制网的基础上进行自由重叠设站的精度能满足高铁测量的精度要求。在板式无碴轨道底板放样和轨道板安装时,可以根据仪器误差参数计算得出每个测站进行放样时误差不超限的最远放样距离,供测量人员参考。  相似文献   

高铁无砟轨道基准点平面测量方法     

范亚军  黄腾  刘岭  李东升 《测绘工程》2012,21(1):58-62

介绍一种在狭长测量条件下基于边角后方交会自由设站的测量方法,阐述方法的原理,并结合石武高铁CRTSⅡ型板式无砟轨道基准点平面测量的具体实例应用,分析该测量方法的精度,证明该方法在狭长呈带状、要求越来越高的测量环境中应用的可行性和可靠性,对其他大型精密工程测量具有参考价值。  相似文献   

基于全站仪交会的变形监测方法的应用研究   总被引：1，自引：0，他引：1  

崔旭升  李法理  麻德明  周少平 《测绘工程》2007,16(5):20-22,27

介绍了全站仪前方交会和后方交会法相结合的测量方法,方便简捷地解决了测量人员不能进入的水域、高速公路、机场跑道、天线、塔、矿山危险采场等特殊位置的测量问题,并通过对该方法的精度分析,论证了其可行性和有效性,对类似的测量工作提供经验和依据。  相似文献