Stationary phase approximation in the ambient noise method revisited          下载免费PDF全文

Zhongwen Zhan  Sidao Ni 《地震科学（英文版）》2010,23(5):425-431

The method of extracting Green's function between stations from cross correlation has proven to be effective theoretically and experimentally.It has been widely applied to surface wave tomography of the crust and upmost mantle.However,there are still controversies about why this method works.Snieder employed stationary phase approximation in evaluating contribution to cross correlation function from scatterers in the whole space,and concluded that it is the constructive interference of waves emitted by the scatterers near the receiver line that leads to the emergence of Green's function.His derivation demonstrates that cross correlation function is just the convolution of noise power spectrum and the Green's function.However,his derivation ignores influence from the two stationary points at infinities,therefore it may fail when attenuation is absent.In order to obtain accurate noise-correlation function due to scatters over the whole space,we compute the total contribution with numerical integration in polar coordinates.Our numerical computation of cross correlation function indicates that the incomplete stationary phase approximation introduces remarkable errors to the cross correlation function,in both amplitude and phase,when the frequency is low with reasonable quality factor Q.Our results argue that the distance between stations has to be beyond several wavelengths in order to reduce the influence of this inaccuracy on the applications of ambient noise method,and only the station pairs whose distances are above several (5) wavelengths can be used.  相似文献   

Point- and curve-based geometric conflation     

C. López-Vázquez  M.A. Manso Callejo 《International journal of geographical information science》2013,27(1):192-207

Geometric conflation is the process undertaken to modify the coordinates of features in dataset A in order to match corresponding ones in dataset B. The overwhelming majority of the literature considers the use of points as features to define the transformation. In this article we present a procedure to consider one-dimensional curves also, which are commonly available as Global Navigation Satellite System (GNSS) tracks, routes, coastlines, and so on, in order to define the estimate of the displacements to be applied to each object in A. The procedure involves three steps, including the partial matching of corresponding curves, the computation of some analytical expression, and the addition of a correction term in order to satisfy basic cartographic rules. A numerical example is presented.  相似文献   

Approximation approach to the SRM based on root decomposition in the simulation of spatially varying ground motions   总被引：2，自引：2，他引：0  

Wu Yongxin  Gao Yufeng  Li Dayong  Xu Changjie  Ali H Mahfouz 《地震工程与工程振动(英文版)》2013,12(3):363-372

The spectral representation method(SRM) is widely used to simulate spatially varying ground motions.This study focuses on the approximation approach to the SRM based on root decomposition,which can improve the efficiency of the simulation.The accuracy of the approximation approach may be affected by three factors: matrix for decomposition,distribution of frequency interpolation nodes and elements for interpolation.The influence of these factors on the accuracy of this approach is examined and the following conclusions are drawn.The SRM based on the root decomposition of the lagged coherency matrix exhibits greater accuracy than the SRM based on the root decomposition of the cross spectral matrix.The equal energy distribution of frequency interpolation nodes proposed in this study is more effective than the counter pith with an equal spacing.Elements for interpolation do not have much of an effect on the accuracy,so interpolation of the elements of the decomposed matrix is recommended because it is less complicated from a computational efficiency perspective.  相似文献   

TTI介质qP波逆时偏移中伪横波噪声压制方法   总被引：6，自引：6，他引：0       下载免费PDF全文

张岩  吴国忱 《地球物理学报》2013,56(6):2065-2076

在对地下复杂构造介质,特别是盐丘侧翼及岩下区域进行成像时,相对于传统的各向同性逆时偏移和VTI逆时偏移,具有倾斜对称轴的TTI逆时偏移成像效果最优.不仅反射同相轴更加的连续,而且能量得到了更好的聚焦.传统的各向异性介质全弹性波RTM的计算量大且计算效率低.由于目前仍以纵波勘探为主,因此TTI逆时偏移qP波波动方程的选取显得尤为重要.为了提高计算效率,采用将沿着对称轴方向的横波速度设为零的方法,简化得到qP波波动方程.然而,这样会引入一种严重影响成像效果的低速度、低振幅的qSV波人为干扰.本文建立了qP波方程的完全匹配层控制方程,而后借助于辅助波场采用一种高效的压制伪横波噪声传播的方法,通过模型测试验证了该方法的有效性.  相似文献   

Thermal convection of an internally heated infinite prandtl number fluid in a spherical shell     

Alexander P. Anufriev 《地球物理与天体物理流体动力学》2013,107(1):65-83

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A note on the applicability of log-Gumbel and log-logistic probability distributions in hydrological analyses: II. Assumed pdf     

STANISLAW WEGLARCZYK  WITOLD G. STRUPCZEWSKI  VIJAY P. SINGH 《水文科学杂志》2013,58(1):123-137

Abstract

Applicability of log-Gumbel (LG) and log-logistic (LL) probability distributions in hydrological studies is critically examined under real conditions, where the assumed distribution differs from the true one. The set of alternative distributions consists of five two-parameter distributions with zero lower bound, including LG and LL as well as lognormal (LN), linear diffusion analogy (LD) and gamma (Ga) distributions. The log-Gumbel distribution is considered as both a false and a true distribution. The model error of upper quantiles and of the first two moments is analytically derived for three estimation methods: the method of moments (MOM), the linear moments method (LMM) and the maximum likelihood method (MLM). These estimation methods are used as methods of approximation of one distribution by another distribution. As recommended in the first of this two-part series of papers, MLM turns out to be the worst method, if the assumed LG or LL distribution is not the true one. It produces a huge bias of upper quantiles, which is at least one order higher than that of the other two methods. However, the reverse case, i.e. acceptance of LN, LD or Ga as a hypothetical distribution, while the LG or LL distribution is the true one, gives the MLM bias of reasonable magnitude in upper quantiles. Therefore, one should avoid choosing the LG and LL distributions in flood frequency analysis, especially if MLM is to be applied.  相似文献   

数字高程模型误差及其评价的问题综述     

吴艳兰  胡海  胡鹏  庞小平 《武汉大学学报(信息科学版)》2011,(5):568-574

从数字高程模型(DEM)传递误差、基于中误差的DEM误差模型及其主要问题、DEM误差分布实验和DEM内插误差新认识几个方面分析了当前DEM误差研究的主要进展,用"中误差"讨论DEM传递误差是建立在测量误差传递理论基础之上的,但沿用"中误差"来讨论DEM内插模型逼近误差和DEM整体误差却缺乏理论依据。DEM误差分布的空间相关性实验对DEM中误差评价法所应具备的随机误差性提出质疑,却可以用基于逼近理论的DEM内插模型来解释,说明用逼近误差理论研究DEM内插误差的途径是正确、可行的。  相似文献   

Optimal Perturbations Triggering Weather Regime Transitions: Onset of Blocking and Strong Zonal Flow   总被引：1，自引：0，他引：1  

JIANG Zhin  MU Mu  WANG Donghai 《大气科学进展》2011,28(1):59-68

In this paper, the approach proposed by Mu and Jiang (2008) to obtain the optimal perturbations for triggering blocking (BL) onset is generalized to seek the optimal perturbations triggering onset of the strong zonal flow (SZF) regime. The BL and SZF regimes are characterized by the same dipole-like anomaly pattern superposed on the climatological flow, but with opposite sign. The results show that this method is also superior at finding the initial optimal perturbations triggering onset of the SZF regime, especially in the medium range. Furthermore, by comparing the two kinds of conditional nonlinear optimal perturbations (CNOPs) trig-gering onset of BL and SZF regimes, we find that in the linear approximation, there is symmetry in the sensitivities for BL and SZF onset, and the perturbations that optimally trigger onset of BL and SZF regimes at times when linear approximation is valid are also characterized by the same spatial pattern but with opposite sign. Whereas when the optimization time is extended to 6 days, the two kinds of CNOPs lose their out-of-phase behavior. The nonlinearity results in an asymmetry between the sensitivity for BL and SZF onset. Additionally, we find that the optimal perturbations have one common property, which is that the second baroclinic mode contributes more to the initial perturbations while the barotropic mode dominates the final structures.  相似文献   

单程波最优化可分近似偏移方法精度分析(英文)     

杜淑媛  陈景波  刘洪 《应用地球物理》2011,8(4):328-336

单程波算子的可分近似形式是关于空间变量和波数变量的函数,这使得快速傅里叶变换的利用成为可能,从而极大提高了计算效率。从函数近似的角度来看,最优可分近似方法与其他几种可分近似方法一样都具有单程波算子可分表达的形式,但最优可分近似方法是其中唯一的函数整体近似的方法,这就造成了该方法在相位误差曲线、脉冲响应、模型偏移结果上表现出与其他可分近似方法不一样的特征:该方法精度较高,且随着阶数的增大,对速度变化的敏感度降低。  相似文献   

基于Fatti近似的弹性阻抗方程及反演   总被引：9，自引：4，他引：5       下载免费PDF全文

王保丽  印兴耀  张繁昌  李爱山 《地球物理学进展》2008,23(1):192-197

用Connolly的弹性阻抗(EI,elastic impedance)公式进行反演只能直接得到纵、横波速度和密度的信息,然后才可间接计算得到纵横波阻抗等其它的参数数据体,这样便增加了一步误差使数据的准确性降低.本文首先针对该方法的这些缺点和不足,提出了以Zoeppritz方程的Fatti近似为基础一种新的弹性阻抗公式,由该公式可得到比用Fatti近似更准确的反射系数,然后对这个公式进行了标准化以实现不同角度的弹性阻抗间量纲的统一,最后用标准化后的公式进行了反演,从反演得到的不同角度的弹性阻抗数据体中可直接提取得到纵横波阻抗数据体.应用实例表明用这种方法提取得到的纵横波阻抗更加稳定、准确,而且能很好地反映储层信息.这种新的方法是对以Connolly公式为基础的传统方法的改进.  相似文献