Types of variations in the geomagnetic field spectrum

The purpose of archaeomagnetic research is to investigate the structure of the geomagnetic field and its evolution. This paper is a study of this type. In our preceding studies, we divided the geomagnetic field into dipole and nondipole components. It was then shown that the dipole component consists of the predominant 1200-yr variation and the remainder δ. The δ variation is the subject of this paper. Detailed study and comparison of the characteristic features of two 1200-yr variations (the dipole and δ variations) in both the declination and inclination indicates that, according to most of their features, they can be assigned to different types of waves, namely, traveling waves (the dipole variation) and standing waves (the δ variation). Successive averaging in time and space yielded averaged data on δI and δD not only for various parts of the world (Europe, Asia, and America) but also for the western and eastern hemispheres.     

地磁场长期变化特征及机理分析

将地磁场的总变化分为三部分：偶极场自身变化,非偶极场自身变化及非偶极场磁斑区通过对核幔边界（CMB）层环形电流的调制来影响偶极场的变化. 本文利用国际地磁参考场模型IGRF）1900～2000计算分析了地球不同深度地磁场分布及长期变化特征,且讨论了变化的可能机制. 可以推论,地磁场西漂和倒转不仅是非偶极场引起,同时与偶极场有密切关系.     

Review of the geomagnetic secular variations on the historical time scale

In view of the classification of the geomagnetic field into its axisymmetric and non-axisymmetric parts, studies of geomagnetic secular variations on the historical time-scale are reviewed. The westward drift of the geomagnetic field, which is one of the most conspicuous features of its secular variation, is examined first. The non-axisymmetric field during the past several hundred years can be well approximated by the superposition of two constant-magnitude fields, a standing and a drifting field, whose lifetimes are supposed to be longer than 1000 years. It is pointed out that the sectorial term of the non-dipole standing field is small compared with the drifting one. The lack of the n = M = 2 term of the standing field is particularly remarkable.

On the other hand, the equatorial dipole field is likely to consist of two components which are both drifting. One drifts westwards with a normal velocity and the other eastwards with a small velocity.

Besides the pronounced westward drift in an east-west direction, the poleward movements of particular foci of the secular variation are noted. This may, however, be related to the rapid growth of the axisymmetric quadrupole field.

The time variation of the dipole field is briefly examined. As far as the data on the historical time scale are concerned, an antiparallel relationship seems to exist between the variations in the dipole and the quadrupole field. As the dipole moment decreases, the magnitude of the quadrupole moment increases. Finally, characteristic oscillation periods of the dipole field are examined. Although the data are few, a 60–70-year period, a 400–600-year and a 8000-year period emerge as the dominant periods.     

Obtaining of information about the IMF evolution from an analysis of the geomagnetic field data

A comparison of the time variations in the geomagnetic field characteristics (the u and aa indices of geomagnetic activity) with the variation in the solar magnetic dipole inclination shows close agreement between these variations. The linear correlation coefficients between the u and aa indices, the u index and solar magnetic dipole inclination, and the aa index and solar magnetic dipole inclination are 0.93, 0.45, and 0.49, respectively. This makes it possible to extend studying the IMF evolution in the 11-year cycle of solar activity to the 170-year period beginning from 1835. It has been indicated that the time variation in the heliospheric current sheet (HCS) surface deviation from the solar magnetic equator plane, calculated based on the actual HCS configuration, is in good agreement with the time variation in the amplitude of the Fourier series second harmonics in a harmonic analysis of the series of daily data on the IMF sign in the vicinity of the Earth. The linear correlation coefficient is 0.9 in this case.     

Geomagnetic evolution: 400 years of change on planet Earth

Spherical harmonic coefficients of the geomagnetic field, calculated from historical observations of declination, inclination and intensity, and from archaeomagnetic inclination results, have been used to produce a film of geomagnetic change since 1600 A.D. The non-dipole geomagnetic field is found to be constantly changing: no fixed or standing non-dipole features are observed. Non-dipole foci are seen to have lifetimes of a few hundred years. The westward drift, which was an important feature of the 18th and early 19th century geomagnetic field, was less pronounced in the 17th century. The growth, evolution, decay and replacement of non-dipole foci, but not their movement are found to have been the major features producing century-long secular directional magnetic variation. Most of the low degree and order spherical harmonic coefficients have changed significantly over the last few hundred years. In particular the change in sign of the axisymmetric quadrupole around 1837 A.D. is noted. Sustained, century-long, intensity changes, however, appear to have been dominated by variations in the intensity of the centred dipole, rather than by non-dipole field fluctuations.     

Magnetic variation generated by a tangential magnetic dipole located in the Earth's core

Summary The harmonically variable magnetic field, generated by a tangential magnetic dipole (TMD), located eccentrically at the surface of the Earth's core, is investigated for various periods of time variations and for a three-layer conductivity model of the Earth. Numerical computations have shown that the field is inductively damped for variation periods of less than 500 years as compared to the field of a static TMD. It is proved that the field appropriate to the TMD, has a more complicated distribution of the Earth's surface than the field of a radial magnetic dipole. Comparison with maps of the non-dipole part of the geomagnetic field shows that the TMD is not as suitable for interpreting the observed non-dipole field and its variations as the eccentric radial magnetic dipole.     

Sq指数的周期变化分析

利用1960-1980年中国北京和广州的地磁场X分量小时值数据,根据徐文耀(1992)提出的用来描述每日Sq变化幅度的地磁活动指数的方法,计算并分析了Asq指数的周期变化特征.结果表明:Asq指数具有11年、年和半年变化等主要周期成分,与F107指数傅氏谱主要周期成分存在对应关系,表明Asq指数的周期变化与太阳辐射密切相关.然而互相关分析表明,日变幅dSq与F107的相关关系略强,这是由于Asq指数计算中每月平均ΔS_q(t)携带了部分Sq场的周期变化信息.     

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.     

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.     

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.     

Harmonic sources of the main geomagnetic field in the Earth’s core

The large-scale harmonic magnetic-convective sources of the main geomagnetic field in the Earth’s core have been determined for the first time. The determination is based on a complete system of eigenfunctions of the magnetic diffusion equation in a homogeneously conducting sphere, which is surrounded by an insulator. The sources of the main geomagnetic field observed, which is responsible for the distribution of the electric currents generating this field in the core, are expressed in terms of large-scale eigenfunctions. In this case, the dipole sources are directly related to the observed geomagnetic dipole, whereas the quadrupole sources are related to the quadrupole, etc. The time variations in the obtained sources are responsible for individual spatiotemporal features in the generation or suppression of each Gaussian component of the observed geomagnetic field. When the commonly accepted observational international geomagnetic reference field (IGRF) models were used to partially reveal these time variations, it became possible to specify the estimate of the Earth’s core conductivity and determine the minimum period that can separate us from the commencement of further inversion or excursion.     

基于COSMIC掩星数据分析中低纬度地区电子密度分布变化

利用COSMIC掩星2009年电子密度剖面数据,筛选数据进行网格划分,网格内数据统计平均,基于球谐函数计算模型值,分析电离层中低纬度地区最大电子密度的地磁季节变化、昼夜测分布相对变化,及地磁活动对电子密度的分布影响.结果表明,最大电子密度昼测值明显高于夜测值,在中纬度部分区域增大明显.电子密度昼测值在地磁活动期间高度150-550 km中低纬度范围为正相扰动,随纬度变化存在区域差异,随高度增加,扰动加强.     

Effects in cosmic rays in March 1991

Using the spectrographic global survey method, variations in the rigidity spectrum and anisotropy of galactic cosmic rays (March 1991) have been studied using data from ground-based observations of cosmic rays (CR) at the worldwide network of stations. Variations in geomagnetic cutoff rigidity (GCR) have been calculated. The paper also presents latitudinal GCR variations at certain moments of the considered period for different geomagnetic field disturbance levels. Calculation results of GCR variations have been compared with those of effect of the westward current flowing with a strength proportional to the latitude cosine along parallels on the sphere, for different radii of the current ring in the dipole field.     

Geomagnetic Field Variations as Determined from Bulgarian Archaeomagnetic Data. Part II: The Last 8000 Years

The knowledge about past secular variations of the geomagnetic field is achieved on the basis of archaeomagnetic researches of which the Bulgarian studies form an extended data set. In Part I (Kovacheva and Toshkov, 1994), the methodology used in the Sofia palaeomagnetic laboratory was described and the secular variation curves for the last 2000 years were shown. In Part II (this paper), the basic characteristics of the prehistoric materials used in the archaeomagnetic studies are emphasised, particularly in the context of the rock magnetic studies used in connection with palaeointensity determinations. The results of magnetic anisotropy studies of the prehistoric ovens and other fired structures are summarised, including the anisotropy correction of the palaeointensity results for prehistoric materials, different from bricks and pottery. Curves of the direction and intensity of the geomagnetic field during the last 8000 years in Bulgaria are given. The available directional and intensity values have been used to calculate the variation curve of the virtual dipole moment (VDM) for the last 8000 years based on different time interval averages. The path of virtual geomagnetic pole (VGP) positions is discussed.     

20世纪地磁长期变化场分析

利用IAGA（国际地磁与高空物理学协会）编制的IGRF(国际地磁参考场)研究了20世纪地磁场变化规律. 20世纪地磁长期变化场的四极子（n=2的高斯系数所表示）变化最为显著,与主磁场相比长期变化场的球谐级数收敛较慢,利用追踪异常焦点位置随时间的变化的方法,发现地磁非偶极子长期变化场的垂直分量Z的等值图上有五大异常,其漂移情况不太统一,但是基本上是西向漂移.这种西向漂移的不一致性,在某种程度上证明了地磁场模型的正确性. 20世纪地磁场长期变化的能量谱与主磁场的不同,偶极子、 四极子和八极子的变化较明显.     

Cosmic ray flux variations,modulated by the solar and terrestrial magnetic fields,and climate changes. Part 2: The time interval from ∼10000 to ∼100000 years ago

A joint analysis of paleodata on variations in cosmic ray fluxes, solar activity, geomagnetic field, and climate during the period from ～10000 to ～100000 years ago has been performed. Data on the time variations in the concentration of ¹⁴C and ¹⁰Be cosmogenic isotopes, which are generated in the Earth’s atmosphere under the action of cosmic ray fluxes modulated by solar activity and geomagnetic field variations, were used to detect variations in solar activity and the geomagnetic dipole. Information about climate changes has been obtained mainly from variations in the concentration of stable isotopes in the natural archives. A performed analysis indicates that the variations in cosmic ray fluxes under the action of variations in the geomagnetic field and solar activity are apparently one of the most effective natural factors of long-term climate changeability on a large time scale.     

中国西南区域孕震区电离层TEC变化长时间序列分析

通过中国地壳运动网络提供的GPS观测数据,获取了高精度电离层TEC分布,采用滑动四分位法分析了中国西南区域2008年4—10月(太阳和地磁活动平静时段)6次连续的MW6.0以上地震期间孕震区电离层TEC长时间变化及其异常分布;并在此基础上利用GIM数据对比分析了全球TEC变化特征。鉴于电离层主要受到太阳和地磁等空间天气的影响,将TEC变化与太阳EUV辐射、行星际磁场南向分量IMF Bz以及地磁活动指数Dst和Kp进行了比较。结果发现,该时段内电离层TEC异常扰动与太阳和地磁活动有很好的相关性;除汶川地震外,其他地震前没有发现明显的跟地震相关的TEC异常扰动现象。同时,对比分析了与上述研究区位于同一地磁纬度的"检验区"(30°~50°E,15°~35°N)的GPS TEC随时间变化和异常分布情况,结果显示TEC异常分布的时空特征与研究区域较为一致。由于电离层是一个复杂的系统,其扰动具有多源性,而且地震电离层扰动现象是复杂多变的,因此需要联合地基和天基手段共同观测,并加强其机理研究。     

Components of geomagnetic variations with tidal wave frequencies

This work studies regular variations caused by the effect of O ₁ and M ₂ tidal waves on magnetospheric current systems. The response to the tidal effect has been calculated using the magnetic field paraboloid model. A model of origination of the geomagnetic variations with O ₁ and M ₂ tidal wave periods has been developed. The values of such variations, which originate as a result of tidal deformations of the current system in the magnetosphere, are 0.2÷0.9 nT. The calculated values coincide in magnitude with the processed geomagnetic data obtained at the Paratunka geophysical observatory.     

Spatial features of the manifestation of the geomagnetic field westward drift

The specific features of the spatial structure and time dynamics of the main geomagnetic field during the 20th century, proceeding from the present-day concepts of geomagnetic jerks have been studied. The variations, caused by global dissipation of the geomagnetic field dipole part, have been separated from the regional variations, described by nondipole spatial harmonics of the spherical harmonic expansion series. It has been indicated that the geomagnetic field westward drift manifests itself in a limited region of the Earth’s surface, forming the known Brazil anomaly. However, the drift component in the variations in the geomagnetic field morphological structures is globally found out during the considered almost 100-year period along the narrow belt around the geomagnetic axis. However, this drift is northwestward in the Northern Hemisphere, and the structures drift southeastward in the Southern Hemisphere. The detected variations of the drift nature are reflected in the variations in the integral geomagnetic characteristic, when changes in the position of the Earth’s magnetic center are considered. The direct correlation between the global geomagnetic variations of the drift nature and the trend variations in the orientation of the vector of the Earth daily rotation velocity has been detected.     

甘肃嘉峪关、瓜州地电场日变化与地电暴差异机理分析

通过甘肃省嘉峪关台地磁场观测资料,研究嘉峪关台、瓜州台磁静日地电场日变化的时频特征波;由地电场分钟值观测数据的时序叠加残差方法,研究嘉峪关、瓜州山的地电暴变化。结果表明:(1)两台地电场静日变化以两次起伏变化为主,无相位差,但两台之间日变幅差异较大;(2)地电场分量变化与地磁场正交分量变化显著相关;地电场与地磁场日变波形不同,极值时间有差异。2个台存在很明显的高频成分,在去除了高频变化后,其优势周期也相同,从大到小依次为12 h、8 h、24 h。地磁场H分量因存在磁暴影响,故高频变化较多,在去除了磁暴影响后,其优势周期从大到小依次为24 h、12 h、8 h;(3)当电磁暴扰动剧烈时,两台可以较清晰地记录到地电暴的完整变化。在发生电磁暴时,地电场与地磁场的相关性明显降低,且不同台、不同测向之间的变化幅度也不尽相同。两台东分量E_Y暴日的日变幅较静日明显增大,磁暴期间Y分量变化率与地电场东分量E_Y观测数据显著相关,由此说明:两台日变幅的不同与台站台址电导率有关,太阳风引起的电离层活动是引起了地电场日变化主因。引起电暴的原因可能不同于引起日变化的原因,主要是两台之间及不同测向之间的浅、深层电阻率和地质构造等诸多因素的结果。