NOC model of the earth's main magnetic field

The international geomagnetic reference field (IGRF) is a standard model for describing the spatial structure and temporal variation of the earth抯 main magnetic field[1—3]. The first IGRF model, designated IGRF 1965, was adopted by IAGA in 1968[4]. In l…     

The geomagnetic field in the 20th century

The continuous spatial-temporal model of variations in the main geomagnetic field in the 20th century has been elaborated. All available data—from the navigation to the satellite surveys at the beginning and end of the century, respectively—have been used to construct the model. Since the accuracy of measurements was different during the century and the data are nonuniformly distributed over the Earth’s surface, the methods for regulating solutions based on global parameters of the magnetic field and its secular variation, invariant on the simulation interval, have been used to correct the model. The secular variation model has been represented as the sum of the models obtained by means of expansion in terms of natural orthogonal components. The conclusions that the character of field variations is complex have been made and the spatial and temporal characteristics of the secular variations of different origin have been estimated based on the simulation results.     

1985-1997年中国地磁场长期变化的正交模型

选取中国地区20个地磁台,日本地区3个地磁台的基本数据,使用自然正交分量方法(简称NOC方法)求得1985-199年中国地区地磁场三分量(X ,Y,Z)的自然正交分量的时间函数,即地磁场时间变化的正交模型. 对阶数从1-9的正交分量进行了试验计算,并计算出这23个地磁台分量的均方根偏差(RMS)值. 以1995年为例 ,取kNOC=1-3,将23个地磁台的正交模型值绘出了平面等值线图. 结果显示X , Y,Z长期变化速度的等值线非常平滑,分布均匀,且均具有明显的分区特征,这反映了主磁场的长期变化规律,而其中长期变化速率比较大的地区,反映地磁场的局部特征和有关的地球物理现象.     

Modeling of the geomagnetic field secular variation based on the satellite surveys

The accuracy of the geomagnetic field secular variation (SV), obtained using different methods of analysis based on different data sets, has been estimated. A comparison of different SV models (developed by different groups of researchers) as candidates for compiling the IGRF 10th generation is the example of such an estimation. These models were obtained based on the Oersted and CHAMP satellite data. In the present work these models are compared in order to estimate the modeling algorithms and the effect of initial data selection on modeling results. To solve this problem, several SV models have been constructed based on the independent algorithms and data sets. The differences between the candidate models using different data proved to be of the same order. A comparison of the spatial power spectra indicated that all models constructed using data subjected to the frequency selection considerably differ from the models the data of which were not selected.     

地磁场长期变化和日长十年尺度变化的周期特征

根据历史地磁场模型GUFM1、第10代国际参考地磁场（IGRF10）模型和日长资料,采用小波变换方法,分析了地磁场磁矩、能量、西向漂移等参数的长期变化和日长十年尺度变化的周期分量及其时变特征.结果表明,1800～2005年期间,偶极子磁场长期变化有82年和48年准周期分量,它们与日长变化的周期没有直接关系.非偶极子磁场参数的长期变化与日长变化有66年和32年准周期分量,66年准周期比32年准周期强.在66年准周期分量,西向漂移比日长变化超前8.8年,非偶极子磁场能量比日长变化滞后15.6年.日长十年尺度波动和地磁场长期变化的起源不存在因果关系.     

应用NOC方法研究中国地区地磁时空变化

应用自然正交分量(NOC)方法,对1995～2006年中国地区36个地磁台的地磁场观测数据进行了计算,获得了上述数据矩阵的本征值和相应的空间域、时间域本征向量,并就其时空分布与中国地磁模型（CGM）进行了对比分析,探讨了它的物理意义.研究表明,上述观测数据包含了丰富的地磁内、外源场信息,其中地磁场要素F、D、I第一、第二本征值及相应的空间域和时间域的第一、第二本征向量所描述的地磁基本场时间变化与CGM吻合较好.     

A Regional Archaeomagnetic Model for the Palaeointensity in Europe for the last 2000 Years and its Implications for Climatic Change

The SCHA.DI.00 directional model for the geomagnetic field in Europe for the last 2000 years (Pavón–Carrasco et al., 2008) has been updated by modelling the palaeointensity. This model, SCHA.DI.00, was developed from available Bayesian European Palaeosecular Variation Curves using the regional Spherical Cap Harmonic Analysis technique. The comparison of the palaeosecular variation curves, given by the regional model, with available archaeomagnetic data not used in its development showed an improvement with respect to the fit obtained by global archaeomagnetic models. In this paper advantage is taken of recently published palaeointensity databases to develop a complete (direction and intensity) regional archaeomagnetic model for the last 2000 years valid for the European region: the SCHA.DI.00–F model. Not only does this complete model provide an improvement for example for archaeomagnetic data studies, but it is also shown that this new regional model can be used to study the recently proposed link between the centennial secular variation of the geomagnetic field and climate change. The pattern of the archaeosecular variation of the field intensity obtained by SCHA.DI.00–F seems to verify the hypothesis presented by Gallet et al. (2005) about a possible (causal) connection between changes in the geomagnetic field intensity and in climate parameters, opening the door for more discussions on this challenging subject.     

自然正交分量方法在地磁研究中的应用

综述了自然正交分量(natural orthogonal components,NOC)方法及其在地磁研究中的应用.近年来,应用NOC方法,在地磁变化、地磁模型与震磁关系等研究中都获得了有意义的成果.NOC方法是地磁研究的有效方法,可以在地磁研究中得到进一步应用.     

Space-time modeling of the main magnetic field by combined methods of spherical harmonic analysis and natural orthogonal components

A simple method for obtaining a space-time model of the main magnetic field from the high-precision satellite survey data is described. At the first stage, the CHAMP satellite data for one-day interval are expanded into the spherical harmonics with constant coefficients. This yields a set of daily mean spherical harmonic models (DMSHM) over the survey interval of a few years. At the second stage, the coefficients of this set are used as source data for expansion into the natural orthogonal components (NOC). It is shown that the terms of the NOC series decrease rapidly, and the accuracy of the space-time model of the main geomagnetic field over the time interval under discussion is not worse than the accuracy of the models obtained by traditional methods.     

1950-1985年中国地磁长期变化的模型和分析

对1950年以来中国及其邻近地区的地磁观测台和复测点地磁三分量数据进行了系统地分析,求得这期间每5年的共7组地磁长期变化的模型（SV模型）.利用这些SV模型将需要的地磁观测值归算到所需的年代,很好地建立了1950-1985年中国地区的主磁场模型.文中还表示了中国地区1950年以来地磁各分量地磁长期变化的时空变化趋势.这些SV模型系数和国际参考地磁场系数计算的SV值与相应观测的SV值比较,由中国SV模型系数得到的均方值比国际参考场的小.     

Estimation of effect of unequal secular variation on geomagnetic data reduction

The geomagnetic field components are periodically measured at repeat stations. The main objective of the repeat stations is to provide data for tracing the secular variation of the geomagnetic field components. Secular variation at the repeat station is generally different from that at geomagnetic observatory used in the data reduction. The effect of the secular variation differences on geomagnetic data reduction was estimated for the regions of Europe, North America (below 60°N) and Australia, respectively, during the period of 2000-2010. These estimations were obtained by using the monthly mean values of north, east and vertical components of geomagnetic field, recorded at geomagnetic observatories. The effects were calculated by using observatories pairs, with distances from 350 km (in Europe) to 3100 km (in North America and Australia). The maximal effects were found to be the smallest in east component in Europe and North America, and vertical component in Australia; the effects increase with time from a central reduction epoch and they are not constant during mentioned eleven years; they were less than 1 nT only in Europe, for distances between the observatories up to 1000 km in all three components and for periods spanning ±1 month from a central epoch. It was found that their year to year variability is mostly due to the non-eliminated external field residuals in the observatories monthly means; their effect is up to 3 nT for ±3 months from a central epoch. Further, the real effects were compared to those modeled by IGRF-12 model. The maximal differences between the real and the modeled values are below 4.5 nT in all three components, for ±3 months from a central epoch.     

The development of a regional geomagnetic daily variation model using neural networks

Global and regional geomagnetic field models give the components of the geomagnetic field as functions of position and epoch; most utilise a polynomial or Fourier series to map the input variables to the geomagnetic field values. The only temporal variation generally catered for in these models is the long term secular variation. However, there is an increasing need amongst certain users for models able to provide shorter term temporal variations, such as the geomagnetic daily variation. In this study, for the first time, artificial neural networks (ANNs) are utilised to develop a geomagnetic daily variation model. The model developed is for the southern African region; however, the method used could be applied to any other region or even globally. Besides local time and latitude, input variables considered in the daily variation model are season, sunspot number, and degree of geomagnetic activity. The ANN modelling of the geomagnetic daily variation is found to give results very similar to those obtained by the synthesis of harmonic coefficients which have been computed by the more traditional harmonic analysis of the daily variation.     

Anomalies in the secular variations in the main geomagnetic field in the context of the hierarchic dipole model

The developed dynamic model of the main geomagnetic field (MGF) includes the sources of three levels, which have existed and continuously changed during the 100-year period. The spatial-temporal dynamics of the secular variations in MGF has been considered based on this model. It has been indicated that, at different times, the formation of anomalies (located in similar regions) depended on the total dynamics of different combinations of sources, including a change in the parameters of the dipoles of the secondorder smallness. Anomalies generated by the dynamics of the dipoles of the third-order smallness do not evidently manifest themselves in the total secular variations but are responsible for the specific shapes of isodynamic lines. Based on the stability and continuity of the constructed model, the conclusion is made that long-living turbulent flows of different scales can exist in the liquid core.     

用曲面Spline方法表示1900～1936年中国(部分地区)地磁场及其长期变化的分布

根据19360年426个地磁测点和28个IGRF计算的地磁数据,计算地磁场和地磁异常场各个分量的曲面Spline模型,并绘制相应的地磁图和地磁异常图.依据我国部分地区的1909～1915,1915～1920,1920～1930,1930～1936年间地磁偏角长期变化图,1908～1917,1917～1922,1922～1936年间水平强度长期变化图和1908～1922,1922～1936年间垂直强度长期变化图,使用曲面Spline方法,分别计算上述9个时间段的磁偏角（D）、水平强度（H）和垂直强度（Z）长期变化的曲面Spline模型,并绘制相应的长期变化图.根据这些长期变化模型,将19360年426个点的三分量绝对值数据归算至1940,1930,1920,1910年和1900年,从而为计算这5个年代的地磁场模型奠定了坚实的基础.     

基于中国地磁台网地磁子夜均值数据对地磁急变的分析

为探索地磁长期变化中地磁急变事件的识别方法,分析地磁急变的特征,本文基于多个地磁台站子夜均值数据,利用线性拟合方法计算了地磁场X,Y和Z三个分量的年变率,对近年来发生的地磁急变事件进行了识别和分析。结果显示:Y分量能对分析时段内已报道的地磁急变事件进行很好的识别,其中1999年的地磁急变事件,在我国区域内发生的时间可能为1998年,此外2017年可能存在一个新的地磁急变事件;Z分量年变率整体变化平缓,2001年和2013年前后发生两次显著的地磁年变率变化,并且分别早于2003年和2014年两次显著的地磁急变事件时间,这与下地幔的高电导率层对不同分量地磁信号从核幔边界传播至地表过程中的延迟作用有关;X分量年变率出现多次地磁急变事件特征,其变化与D_st指数年变率变化具有相关性,可利用其去除X分量年变率中存在的外部空间电流体系影响成分,更可靠地辅助Y分量对地磁急变事件进行识别。总体上,地磁子夜均值数据年变率的空间分布与基于第12代国际地磁参考场（IGRF12）模型计算的地磁数据年变率的空间分布所呈现的变化特征在总趋势上具有一致性,表明地磁台站子夜均值数据能够反映我国区域地球主磁场的变化特征,而分别由子夜均值数据和IGRF12模型计算的2003年Y分量年变率空间分布均存在的显著局部特征,可能与地磁急变事件的区域特征有关。      

2000年中国地磁场及其长期变化冠谐分析

根据1998～2000年完成的118个地磁测点 和39个地磁台的三分量绝对测量资料以及IGRF2000，计算2000年中国地磁场冠谐模型(截断 阶数为8)，以及2000～2005年中国地磁长期变化冠谐模型(截断阶数为6). 球冠极位于36 °N，104°E，球冠半角为30°. 中国地磁场冠谐模型能更好地表示我国地磁场的时空变化 ，地磁场模型的均方偏差为：104.4 nT(X分量)，103.3 nT(Y分量)，123.9 nT(Z分量). 依据地磁场及其长期变化的冠谐模型，分别绘制2000年中国地磁图(F，X，Y，Z)和异常磁场图(ΔF，ΔX，ΔY，ΔZ)，以及2000～2005年地磁长期变化图(F，X，Y，Z). 指出改善地磁场模型边界效应 的途径，并对如何布设地磁复测点提出了建议.     

2005.0年代中国地区地磁场及其长期变化球冠谐和分析

国家地磁图作为描述一个国家领域内地磁场空间分布的基础科技产品,其选用的模型计算方法应准确合理地反映标准年代上地磁场空间分布及未来5年的地磁场长期变化趋势.本文应用球冠谐和(SCH)方法,对中国地区1119个野外地磁测点和36个地磁台的观测数据进行了计算,获得了2005.0标准地磁年代中国地区地磁正常场及其异常场空间分布...     

Electric conductivity of the lower mantle. Methods and results

The methods and results of estimating the electric conductivity of the Earth’s lower mantle are discussed. It has been indicated that the available estimates are qualitative since, first, the spatial-temporal characteristics of the geomagnetic variations on the Earth’s surface have been insufficiently accurate until recently and, second, the models of variations on the core surface are hypothetical. The situation is similar to the problem of determining filter parameters without knowing a filter entry. Nevertheless, the estimates of admissible conductivity limits at the mantle-core boundary and the general form of the conductivity radial dependence have been obtained based on the Earth thermodynamic model and certain global characteristics of the secular geomagnetic variations.     

More on the alleged 1970 geomagnetic jerk

French and United Kingdom workers have published reports describing a sudden change in the secular acceleration, called an impulse or a jerk, which took place around 1970. They claim that this change took place in a period of a year or two and that the sources of the alleged jerk are internal. An earlier paper by this author questioned their method of analysis pointing out that their method of piecemeal fitting of parabolas to the data will always create a discontinuity in the secular acceleration where the parabolas join and that the place where the parabolas join is an a priori assumption and not a result of the analysis. This paper gives a very brief summary of this first paper and then adds additional reasons for questioning the allegation that there was a worldwide sudden jerk in the magnetic field of internal origin around 1970. These new reasons are based largely on new field models which give cubic approximations of the field right through the 1970 timeframe and therefore have no discontinuities in the second derivative (jerk) around 1970. Some recent Japanese work shows several sudden changes in the secular variation pattern which cover limited areas and do not seem to be closely related to each other or to the irregularity noted in the European area near 1970. The secular variation picture which seems to be emerging is one with many local or limited-regional secular variation changes which appear to be almost unrelated to each other in time or space. A worldwide spherical harmonic model including coefficients up to degree 13 could never properly depict such a situation.     

IGRF-11描述的2005-2010年中国地区地磁长期变化及其误差分析

第11代国际地磁参考场(IGRF-11)是国际地磁学与高空物理学联合会(IAGA)于2009年12月提出的最新与比较准确的IGRF.根据IGRF-11模型,计算了2005-2010年中国地区地磁长期变化(SVC).IGRF-11所描述的2005-2010年中国地区地磁长期变化与实际观测的地磁长期变化(SVO)是基本一致的,但亦有明显差异.分析比较了在中国地区34个台站上的SVO与SVC之间的差异,并得到了它们之间的差值及其均方误差σ,对于地磁偏角和倾角,σ分别为0.35′/a与0.53′/a;对于地磁总强度、水平分量、北向分量、东向分量与垂直分量,σ分别为5.12nT/a,8.91nT/a,8.89nT/a,3.27nT/a与3.59nT/a.引起IGRF-11所描述的2005-2010年中国地区地磁长期变化的误差原因是:中国地区的区域性与局部性的磁异常、IGRF忽略了外源场与IGRF模型的截断阶数、全球台站与测点的分布不均匀、地磁观测误差等因素.由于中国地磁模型(CGM)优于IGRF模型,并能比较准确地描述中国地区地磁场及其长期变化,故在实际应用中应选用CGM.