地磁与空间物理资料的组织和相关坐标系

在地磁与空间物理学实验研究和理论研究中,无论是观测资料和实验数据,还是理论计算和数值模拟结果,都需要组织在一定的坐标框架中,或者用一定的函数(函数系)来表达.坐标系或函数系的选择对于合理描述资料和发现自然规律是十分重要的环节.本文综述了地磁与空间物理研究中经常使用的20多种坐标系,着重探索这些坐标系的基本设计思想和相互联系,追踪它们的发展演化轨迹,从而加深对资料组织和坐标系选择的理解.     

过去2000年以来地磁偶极子的长期变化

利用地磁场模型资料,计算和分析了公元0～2000年的地磁场偶极子磁矩和地磁北极位置的长期变化。结果表明:过去2000年中,地磁场的偶极子磁矩并非一直减小,有近400年的时间是持续增长的。地磁北极位置的移动并不均匀,在纬度方向的变化范围只有10°左右,经度方向变化有255°。     

地磁台站建设中磁测异常现象分析

地磁台建设磁性跟踪测试工作很重要,通过对跟踪磁测中发现的一个异常现象的分析,计算了不同重量、距离的铁磁性物质对磁房建筑场地磁场的影响,讨论了排除施工现场磁性干扰的一些办法,并得出各种重量铁磁性物质与磁房建筑物的安全距离,还讨论了地磁台部分建筑材料的选择问题。     

多波束数据处理中的UTM直角坐标与经纬度坐标转换技术

简要介绍了地图投影的一般概念,重点描述了UTM的优点及其与大地坐标之间的相互转换,该转换方法软件化后形成的技术可以为多波束数据后处理商业软件提供坐标转换的补丁技术。最后附上部分经实际检验的Fortran程序供参考。     

The outer core rotation about an inclined axis from geomagnetic secular variations (Mitteilungen des Zentralinstituts für Physik der Erde,Nr. 1832)

Non-axisymmetric motions of the outer core of the Earth are important for the dynamo problem and the excitation of the decade variations of the polar motion. The components of the vector of a rigid rotation of the outer core about an inclined axis were estimated by a first-order approximation of the frozen- field theory of the geomagnetic secular variation from 1903.5 to 1975.5. The trends and quasi-periodic constituents of these quantities were computed. It was shown that the position and time behaviour of the rotational pole of the outer core differ considerably from the well-know co-ordinates of the dipole axis. Some periods of the equatorial components of the rotational vector are comparable with those of the axial component previously derived for a pure axial rotation. Additionally, the time behaviour of the pole path shows events like the well-known Markowitz wobble but naturally with other extent. These and other results suggested that the investigations are worth to be continued in future by some physical interpretations.     

线路上任意一点对应中桩平面坐标在统一模型中的计算

本文给出了交通线路任意点对应中桩平面坐标计算的统一模型,并就直线段、圆曲线段、缓和曲线段三种线型具体展开,给出其理论公式和实际计算方法。     

PDR算法对地磁室内定位精度的提升研究

利用建筑物中金属结构引起的地磁场扰动可以对室内的行人目标进行定位,而且基于地磁场的定位无需布设任何额外设施,因此可以以低成本实现定位。但仅靠单一的地磁技术无法满足室内定位的精度要求。为了解决磁场数据中单点定位的模糊性问题,本文提出了一种利用粒子滤波算法将PDR与地磁相融合的室内定位方法,并开发了地磁室内导航系统,以智能手机为硬件平台构建磁力计传感器模型,建立匹配轨迹的均方误差准则并实现PDR累积误差实时校正的迭代计算。在68 m×1.8 m的试验区域内,产生的平均定位误差为1.13 m,最大定位误差为2.17 m。本文算法的定位精度比单独PDR算法提升了42%;与单一地磁指纹匹配算法相比,定位精度提高了57%。试验证明,本文提出的融合算法对提高室内定位精度具有显著的作用。     

GNSS变形监测网短基线时间序列噪声特性分析

利用时间跨度为5 a的GNSS短基线时间序列对噪声特性进行分析,发现长周期噪声分量(随机游走噪声)。选取最优噪声模型,评估不同噪声模型对测站周期振幅和线性速度估值的影响。结果表明,短基线时间序列中有色噪声应顾及闪烁噪声和随机游走噪声,对于表现出随机游走噪声的分量,可能与测站的真实运动有关;假设只有白噪声时求得的速度估值与最优噪声模型下求得的速度估值存在0.4～0.6 mm/a的偏差,对周期振幅的影响可以忽略。     

Spurious diapycnal mixing in terrain-following coordinate models: The problem and a solution

In this paper, we identify a crucial numerical problem in sigma coordinate models, leading to unacceptable spurious diapycnal mixing. This error is a by-product of recent advances in numerical methods, namely the implementation of high-order diffusive advection schemes. In the case of ROMS, spurious mixing is produced by its third-order upwind advection scheme, but our analysis suggests that all diffusive advection schemes would behave similarly in all sigma models. We show that the common idea that spurious mixing decreases with resolution is generally false. In a coarse-resolution regime, spurious mixing increases as resolution is refined, and may reach its peak value when eddy-driven lateral mixing becomes explicitly resolved. At finer resolution, diffusivities are expected to decrease but with values that only become acceptable at resolutions finer than the kilometer. The solution to this problem requires a specifically designed advection scheme. We propose and validate the RSUP3 scheme, where diffusion is split from advection and is represented by a rotated biharmonic diffusion scheme with flow-dependent hyperdiffusivity satisfying the Peclet constraint. The rotated diffusion operator is designed for numerical stability, which includes improvements of linear stability limits and a clipping method adapted to the sigma-coordinate. Realistic model experiments in a southwest Pacific configuration show that RSUP3 is able to preserve low dispersion and diffusion capabilities of the original third-order upwind scheme, while preserving water mass characteristics. There are residual errors from the rotated diffusion operator, but they remain acceptable. The use of a constant diffusivity rather than the Peclet hyperdiffusivity tends to increase these residual errors which become unacceptable with Laplacian diffusion. Finally, we have left some options open concerning the use of time filters as an alternative to spatial diffusion. A temporal discretization approach to the present problem (including implicit discretization) will be reported in a following paper.     

地心坐标反解大地坐标的非线性方程组牛顿迭代法分析

目前的一些地心坐标向大地坐标的转换模型在计算速度,稳定性或精度方面存在一定的局限性。本文探讨了非线性方程组数值迭代的求解方法及其在MATLAB 7.0中的编程实现,并将结果与基于一元三次方程求解的严密方法做了比较分析,结果证明该方法是可以在实际中参考应用的。