Weak-contrast approximation of the elastic scattering matrix in anisotropic media

The plane-wave reflection and transmission coefficients at a plane interface between two anisotropic media constitute the elements of the elastic scattering matrix. For a 1-D anisotropic medium the eigenvector decomposition of the system matrix of the transformed elasto-dynamic equations is used to derive a general expression for the scattering matrix. Depending on the normalization of the eigenvectors, the expressions give scattering coefficients for amplitudes or for vertical energy flux.Computing the vertical slownesses and the corresponding polarizations, the eigenvector matrix and its inverse can be found. We give a simple formula for the inverse, regardless of the normalization of the eigenvectors. When the eigenvectors are normalized with respect to amplitudes of displacement (or velocity), the calculation of the scattering matrix for amplitudes is simplified.When the relative changes in all parameters are small, a weak-contrast approximation of the scattering matrix, based on the exactly determined polarization vectors in an average medium, is obtained. The same approximation is also derived directly from the transformed elasto-dynamic equations for a smooth vertically inhomogeneous medium, proving the consistency of the approximation.For monoclinic media, with the mirror symmetry plane parallel to the interface, the approximative scattering matrix is given in terms of analytic expressions for the non-normalized eigenvectors and vertical slownesses. For transversely isotropic media with a vertical axis of symmetry (VTI) and isotropic media, explicit solutions for the weak-contrast approximations of the scattering matrices have been obtained. The scattering matrix for amplitudes for isotropic media is well known. The scattering matrix for vertical energy flux may have applications in AVO analysis and inversion due to the reciprocity of the reflection coefficients for converted waves.Numerical examples for monoclinic and VTI media provide good agreement between the approximative and the exact reflection matrices. It is, however, expected that the approximations cannot be used when the symmetry properties of the two media are very different. This is because the approximation relies on a small relative contrast between the eigenvectors in the two media.Presented at the Workshop Meeting on Seismic Waves in Laterally Inhomogeneous Media, Castle of Trest, Czech Republic, May 22–27, 1995.     

浙江省测震观测台网井下地震计方位角检测与校正

选取浙江省测震台网景宁、北仑、南麂岛地震台井下地震计观测数据,采用地震数据波形相关性分析法,与地表地震计同步观测数据进行相关性分析,检测并校正井下地震计方位角,结果发现,3个地震台井下地震计方位角实际偏差分别为82.2°、-22.8°、32.2°。分析认为,井下地震计安装易受线缆应力影响,导致方位角与实际偏差过大,应在应力释放完成后固定地震计,并架设地表地震计进行数据相关性分析,以确定方位角可靠性。     

考虑方位漂移的水平井井眼轨道设计

目前,深层页岩气水平井在钻井过程中经常出现方位漂移的问题,方位漂移严重影响了水平井的井眼轨迹控制,进而影响水平井的准确中靶。在现场施工中,通常根据施工区以前的钻井经验,在进行定向造斜时,先估计出一个“方位超前角”,这种现场的做法有着很大的不确定性,并且可能出现较大误差。本文提出了考虑方位漂移的水平井井眼轨道优化设计的方法,解决了仅凭现场经验给出的“超前角”不准确的问题。考虑方位漂移的水平井井眼轨道优化设计按照井段划分,将地层因素与井身剖面结合起来求取井段的平均方位漂移率。根据该方法研制开发了考虑方位漂移的水平井井眼轨道优化设计软件,并通过举例进行了验证,证明了方法是可行的。     

太阳高度角和日出日落时刻太阳方位角一年变化范围的计算

介绍了太阳位置的确定方法，并通过计算给出了全省气象观测台站的日出、日落方向的太阳方位角变化结果以及每个台站一年中正午时刻太阳高度角变化范围。     

大地问题的截面椭圆弧长新解

分析了以前大地问题中截面椭圆弧长计算方法的缺点,在运用Mathematic的基础上,提出了在这一问题上的计算方便、过程简单的新方法,并用该方法进行了一个实例计算,效果良好。     

ERROR COMPARISON OF WIND FIELD RETRIEVAL FROM SINGLE AND DUAL-DOPPLER RADAR OBSERVATIONS

The error distributions of the wind fields retrieved from single and dual-Doppler radar observations are given inthis paper.The results indicate that the error of dual-Doppler retrieval depends on the position in the scan region of thedual-Doppler radar.The error of single-Doppler retrieval by using velocity azimuth processing(VAP)technique de-pends on the angle between the directions of wind and the radar beam.Generally,the winds retrieved from single Doppl-er radar are close to those retrieved from dual-Doppler radar.But,the error distribution of the single-Doppler retrievalis different from the dual-Doppler retrieval.We simulate the retrievals of single Doppler observation by the use of theoutput wind data from a 3-D numerical model of severe convection.The comparison of the simulated single-anddual-Doppler retrievals shows that the VAP may be a suitable technique for the operational analysis of mesoscale windfields.It can also be used as a supplement to wind field retrieval in the field experiment.     

利用测日实现快速天文定向

介绍了天文方位角测量原理,给出了实用的计算太阳视位置的方法;研究了在白天恒星无法应用的情况下,利用电子经纬仪测日进行快速天文定向及方位角测量,给出了具体的实施方法及数据解算过程,并对实际测量数据进行了精度分析。     

Estimation of azimuth and slowness of tele-seismic signals recorded by a local seismic network

Introduction The azimuth and slowness are two major features of seismic signals. The accurate estimation of them is quite important for both phase identification and event location. Generally, there are two types of seismic stations, i.e. 3-component stations (3C) and arrays. To estimate the two direc-tional parameters, the polarization analysis (Jurkevics, 1988) is commonly used for 3C stations and the frequency-wavenumber spectrum analysis ( f-k) (Capon, 1969; Kvaerna, Doornbos, 1986) is …     

由地方台网记录确定远震信号的方位角和慢度

介绍一种新的适合于地方遥测台网数据处理的方法,估算远震信号到达台站的方位角和慢度．该方法是根据信号在各台站上的到时与台站位置矢量在信号传播方向上的投影之间的相关性的原理．实际分析结果表明,应用该方法对地方台网的记录进行处理时可以准确地计算出信号的方位角和慢度,并能准确快捷地对地方台网记录的远震信号进行解释．     

关于桥梁墩柱模板角点坐标的计算方法及其校核的研究

针对桥梁建设中各构筑物放样坐标的计算及校核存在不严谨之处,本文提出一种计算放样坐标的新方法可以作为放样坐标的第一计算方法或检核方法。对其中所涉及的坐标系的转换和方位角的计算方法进行详细说明,并编制程序使计算智能化,可以应用在实际工程中,具有一定的实际应用价值。