Multiple Parameter Regularization: Numerical Solutions and Applications to the Determination of Geopotential from Precise Satellite Orbits

Kaula’s rule of thumb has been used in producing geopotential models from space geodetic measurements, including the most recent models from satellite gravity missions CHAMP. Although Xu and Rummel (Manuscr Geod 20 8–20, 1994b) suggested an alternative regularization method by introducing a number of regularization parameters, no numerical tests have ever been conducted. We have compared four methods of regularization for the determination of geopotential from precise orbits of COSMIC satellites through simulations, which include Kaula’s rule of thumb, one parameter regularization and its iterative version, and multiple parameter regularization. The simulation results show that the four methods can indeed produce good gravitational models from the precise orbits of centimetre level. The three regularization methods perform much better than Kaula’s rule of thumb by a factor of 6.4 on average beyond spherical harmonic degree 5 and by a factor of 10.2 for the spherical harmonic degrees from 8 to 14 in terms of degree variations of root mean squared errors. The maximum componentwise improvement in the root mean squared error can be up to a factor of 60. The simplest version of regularization by multiplying a positive scalar with a unit matrix is sufficient to better determine the geopotential model. Although multiple parameter regularization is theoretically attractive and can indeed eliminate unnecessary regularization for some of the harmonic coefficients, we found that it only improved its one parameter version marginally in this COSMIC example in terms of the mean squared error.     

现代测量工程学发展现状与展望

从工程控制测量、大比例尺数字测图、施工放样、工业测量系统、变形监测和工程专题信息系统等6个方面,介绍了测量工程学的发展现状及取得的成就。可以看出,GPS测量技术和测量机器人技术已成为工程测量的主要应用技术,贯穿于各种工程中及工程测量的全过程;工业测量系统是测量工程学科最具活力的发展方向,在国防工业武器装备制造中发挥了巨大的作用。结合我院实际情况和今后学科二期建设的目标,指出了未来工测专业的发展方向。     

中国古代大地测量

古代测量是中国古代文明的重要组成部分，它是适应农耕与征战的需要最早发展起来的实用技术之一。中国大地测量源于距今近5000年的原始社会末期的三皇五帝时代。几千年来，中国大地测量经历了从步量、丈量到立杆测影、仪器观测的发展过程。距今2000年的西汉时期，发明了浑天仪，开始了使用仪器测量地面点地理坐标的新阶段。公元724年，僧人一行与南宫说在黄河中游的平坦地区进行了世界上最早的子午线测量。16世纪后期，意大利人利玛窦带来了西方的测量技术，从此开始了中国传统大地测量与西方测量方法并行、融合的进程。明末清初，利用天文测地的方法在全国范围内测定了几十个经纬度点，为地图绘制提供了控制基础。天圆地方是中国古代最典型宇宙观，是中国古代测量与制图中未能考虑地球曲率的认识根源。简言之，中国古代大地测量成就辉煌，特色明显，与西方古代测量并驾齐驱。     

佘山重力垂直梯度偏小的原因及其对大地测量的影响

根据推导的公式计算了由山体质量引起的梯度效应,结果与实测值甚为接近。分析了佘山重力垂直梯度偏小的原因,认为这是由于山体质量分布引起的。最后讨论了垂直梯度偏小对重力值的高度归算和大地水准面的影响。     

Improved ocean-geoid resolution from retracked ERS-1 satellite altimeter waveforms

The ocean geoid can be inferred from the topography of the mean sea surface. Satellite altimeters transmit radar pulses and determine the return traveltime to measure sea-surface height. The ERS-1 altimeter stacks 51 consecutive radar reflections on board the satellite to a single waveform. Tracking the time shift of the waveform gives an estimate of the distance to the sea surface. We retrack the ERS-1 radar traveltimes using a model that is focused on the leading edge of the waveforms. While earlier methods regarded adjacent waveforms as independent statistical events, we invert a whole sequence of waveforms simultaneously for a spline geoid solution. Smoothness is controlled by spectral constraints on the spline coefficients. Our geoid solutions have an average spectral density equal to the expected power spectrum of the true geoid. The coherence of repeat track solutions indicates a spatial resolution of 31  km, as compared to 41  km resolution for the ERS-1 Ocean Product. While the resolution of the latter deteriorates to 47  km for wave heights above 2  m, our geoid solution maintains its resolution of 31  km for rough sea. Retracking altimeter waveform data and constraining the solution by a spectral model leads to a realistic geoid solution with significantly improved along-track resolution.     

腾冲火山区水平形变初探

介绍了采用精密大地测量的方法,对腾冲火山区域的水平形变情况进行了探索。通过两期相距３８年的实测数据,对火山“休眠期”中岩浆活动与地壳局部变形的相关性进行研究,并提供了部分计算结果。作者认为,采用精密大地测量的方法对火山区域地壳变形进行研究是可行的;火山区域水平形变与构造形变的区别是存在的;腾冲火山区内近几十年内岩浆的动也是明显的,但目前总体为间歇性收缩期;从水平形变测量的结果来看,显示了南面活跃的迹象;且认为可能是岩浆囊的存在才会引起此大范围的地壳活动。     

Andean earthquakes triggered by the 2010 Maule,Chile (Mw 8.8) earthquake: Comparisons of geodetic,seismic and geologic constraints

The Maule, Chile, (M_w 8.8) earthquake on 27 February 2010 triggered deformation events over a broad area, allowing investigation of stress redistribution within the upper crust following a mega-thrust subduction event. We explore the role that the Maule earthquake may have played in triggering shallow earthquakes in northwestern Argentina and Chile. We investigate observed ground deformation associated with the M_w 6.2 (GCMT) Salta (1450 km from the Maule hypocenter, 9 h after the Maule earthquake), M_w 5.8 Catamarca (1400 km; nine days), M_w 5.1 Mendoza (350 km; between one to five days) earthquakes, as well as eight additional earthquakes without an observed geodetic signal. We use seismic and Interferometric Synthetic Aperture Radar (InSAR) observations to characterize earthquake location, magnitude and focal mechanism, and characterize how the non-stationary, spatially correlated noise present in the geodetic imagery affects the accuracy of our parameter estimates. The focal mechanisms for the far-field Salta and Catamarca earthquakes are broadly consistent with regional late Cenozoic fault kinematics. We infer that dynamic stresses due to the passage of seismic waves associated with the Maule earthquake likely brought the Salta and Catamarca regions closer to failure but that the involved faults may have already been at a relatively advanced stage of their seismic cycle. The near-field Mendoza earthquake geometry is consistent with triggering related to positive static Coulomb stress changes due to the Maule earthquake but is also aligned with the South America-Nazca shortening direction. None of the earthquakes considered in this study require that the Maule earthquake reactivated faults in a sense that is inconsistent with their long-term behavior.     

IAG2001年科学大会与大地测量学的最新进展

扼要报导了国际大地测量学术界的一次重要会议－IAG2001年科学大会。根据会议的学术报告，对坐标系统的统一与协调，全球重力场研究，导航卫星的应用，地壳形变与地球动力学等方面的研究进展作了详细介绍。