A study on variations of non-dipole magnetic field over Chinese mainland during 2000 BC to 1990 AD

We calculated and analyzed variation of the non-dipole(ND)magnetic field at the millennium scale over the Chinese mainland during 2000 BC–1900 AD using the newest global geomagnetic model,CALS3K.4(3K.4).The newest-generation IGRF(IGRF11)was used to verify the results.Taking component Z for example,we calculated and analyzed the distribution and annual change rates of the ND field during 1900–1990 AD every 5 yr,using two models.To thoroughly analyze the contributions of field sources,quadrupole and octupole fields,and others within the ND field at the surface and core-mantle boundary(CMB)were investigated.Results show that there were three main variation phases of the field during the period 2000BC–1900 AD.The mean amplitude roughly reflected the ND field because of the distribution and variation of that field,corresponding somewhat to the mean amplitude change.A magnetic anomaly of the ND field over East Asia(EA)first emerged in 1682 AD,and its extreme intensity had increased a total of 15276.95 nT by 1900 AD.Its location moved continuously southeastward after 1690 AD.The asymmetry between location and intensity of extreme points over EA,particularly during1740–1760 AD,indicates irregularity of fluid motion inside the outer core.Mean annual changes of Z are generally divided into four phases,which first oscillated between 2000 and 800 BC,then increased,decreased and increased in the periods 800BC–300 AD,300–900 AD and 900–1900 AD,respectively.The intensity of mean annual change increased a total of 22.87nT/yr.Anomaly extreme locations based on 3K.4 and IGRF11 over EA centered around 44°N and 103°E for degree(n)greater than 5,and intensities continuously increased with n.During 2000 BC–1990 AD,ND energy of Z at the surface and CMB had decreased in total by 18.29%and 23.23%,respectively.The field source of 26–210 pole fields are more or less affected by the lithospheric field.Energies of higher degree at the surface attenuate by almost 99%compared with CMB,but mean attenuation speeds of the low-degree ND field are faster than high-degree,which implies that the low-degree ND field has a deeper source.     

Denudation rates of crystalline rock in the Huangling anticline of the Three Gorges of the Yangtze River in China since the Eocene

The processes and rates of the weathering denudation of the bare crystalline rock are important problems in the field of geosciences[1—6]. Essentially, the weathering denudation process is the process of rock destruction and transportation. In different …     

3-D acoustic wave equation forward modeling with topography

In order to model the seismic wave field with surface topography, we present a method of transforming curved grids into rectangular grids in two different coordinate systems. Then the 3D wave equation in the transformed coordinate system is derived. The wave field is modeled using the finite-difference method in the transformed coordinate system. The model calculation shows that this method is able to model the seismic wave field with fluctuating surface topography and achieve good results. Finally, the energy curves of the direct and reflected waves are analyzed to show that surface topography has a great influence on the seismic wave＇s dynamic properties.     

Cone model for two surface foundations on layered soil

In this paper, the cone model is applied to the vibration analysis of two foundations on a layered soil half space. In the analysis, the total stress field in the subsoil is divided into the free-field and the scattering field. Seed＇s simplified method is adopted for the free-field analysis, while the cone model is proposed for analyzing the dynamic scattering stress wave field. The shear stress field and the compressive stress field in the layered stratum with two scattering sources are calculated by shear cone and compressive cone, respectively. Furthermore, the stress fields in the subsoil with two foundations are divided into six zones, and the P wave and S wave are analyzed in each zone. Numerical results are provided to illustrate features of the added stress field for two surface foundations under vertical and horizontal sinusoidal force excitation. The proposed cone model may be useful in handling some of the complex problems associated with multi-scattering sources.     

General inverse of Stokes, Vening-Meinesz and Molodensky formulae

The undulation of the geoid, the gravity anomaly and the deflection of the vertical are the three basic observations describing the shape and the gravity field of the earth. The Stokes’ formula that computes the undulation of the geoid using the gravity anomaly on the geoid under spherical approximate conditions was first put forward by Stokes[1]. According to Stokes’ theory, The Vening-Meinesz formula that computes the meridian and the prime vertical components of the deflection of the ve…     

Theoretical Investigation of Seismic Electric Field Associated with Faulting

We present an electromagnetic model of a fault using the piezoelectric effect and the elastic dislocation theory to investigate theoretically the spatial distribution of the stress-induced charges associated with faulting. The relevant seismic electric field associated with these induced charges can be estimated quantitatively. Therefore, this simple model would provide a solid framework for additional theoretical developments on the explanations of the anomalous seismoelectric signals. The spatial distribution of the stress-induced charges around a vertical rectangular fault showed complicated characteristics. The estimation of the electric field associated with the stress-induced charges during the 1995 Kobe earthquake was consistent with the previous investigation from some reported anomalous seismic phenomena.     

Statistical distribution of nonlinear random wave height

1 Introduction The probability distribution of ocean wave element is one of the results of application of random process theory to the ocean wave study. A great amount of outcome has obtained in this field[1,2]. In fact, a great deal of research on linear…     

Characteristics of InSAR Coseismic Deformation and Slip Distribution of the Akto MS6.7 Earthquake,Xinjiang

The Akto M_S6. 7 earthquake occurred near the western end of the Muji fault basin in the top of the Pamir syntaxis. The main shock of this earthquake is complicated and the focal mechanism solutions based on the seismic wave inversions are different. Based on the Sentinel-1 SAR data,the coseismal deformation field of the earthquake is obtained by In SAR technique. Based on the elastic half-space dislocation model,the geometrical parameters and the slip distribution model are determined by nonlinear and linear inversion algorithms. The results show that the distributed slip model can well explain the coseismic deformation field. The earthquake includes at least two rupture events,which are located at 7 km(74. 11°E,39. 25°N)and 33 km(74. 49°E,39. 16°N)east from the epicenter according to the CENC. The deformation field caused by the earthquake shows a symmetry distribution,with the maximum LOS deformation of 20 cm. The main seismic slip is concentrated in the 0-20 km depth,and the maximum slip is 0. 84 m. The seismic fault is the Muji fault,and this earthquake indicates that the northeastward push of the Indian plate is enhanced.     

Geochemistry of ore-forming fluids and geological significance of the Kuoerzhenkuola gold field in Xinjiang, China

The Kuoerzhenkuola gold field (including the Kuo- erzhenkuola and the Buerkesidai gold deposits), lo- cated 68 km east of Jimunai County in northern Xing- jiang, China, is an important component of the Sawuer gold belt which is the eastward extending part of the Zarma-Sawur gold-copper belt in Kazakhstan. Some studies are concerned with the geology of the gold ores[1―3], the associated volcanic rocks[4], radiogenic isotope[5―8], and the ore-forming environment[8]. Most researchers inferr…     

1900-2000年地球主磁场的本征模分析

利用1900-2000年国际参考地磁场模型（IGRF）,对地球主磁场的空间结构和长期变化进行了自然正交分量分析,得到了组成地磁场的主要成分（本征模）及其随时间的长期变化（SV）．第一本征模描述主磁场稳定结构的总体特征,其强度随时间单调减小;第二本征模主要描述印度洋和南大西洋地区正异常特征,其强度也随时间单调变化;第三本征模对应于加勒比地区正异常,其强度呈100a周期的变化,目前正处于下降阶段;第四本征模的主要特点是北美正异常和南亚负异常,其强度呈80a周期的变化;第五本征模对应尺度较小的局部磁异常,其强度的变化周期约60a;第六及其以后的本征模则对应空间尺度更小和时间变化更快的磁异常．分析表明,太平洋地区的磁场经历着缓慢的单调减小变化,其结构比较稳定,几乎完全包括在第一本征模中．但是,印度洋磁场结构较复杂,它是由空间结构不同和变化周期各异的多个本征模组成的．大西洋的北部、中部和南部分属不同本征模,它们有完全不同的时间变化特性．     

20世纪中国地区主磁场变化研究

为了研究2 0世纪中国地区主磁场变化, 首先使用最新的全球模型IGRF11, CALS3K. 4 (3K. 4) 和GUFM1进行计算, 并分析了1900—1990年的主磁场年变率均值的变化; 然后基于1960—2000年以10年为间隔的实测数据, 结合全球模型CM4与区域模型泰勒(Taylor)多项式(TY)模型分析了中国地区主磁场的年变率分布及年变率均值, 并与上述几种全球模型进行了比较． 结果显示: 20世纪利用IGRF11, GALS3K.4和GUFM1模型得到的主磁场的年变率均值均很接近. 它们所绘制的1960—2000年中国地区的主磁场年变率分布类似． 其原因主要是由于它们的建模原理相同且截断阶数接近所致． 基于实测点绘制的年变率分布与全球模型基本一致, X分量的年变率逐年减少, Y、 Z、 F分量的年变率均呈现先减小后增大的趋势．但两者也存在一定差异, 主要原因是由于更高密度的实测点及使用区域模型所致． 结果还显示了基于实测值绘制的年变率均值变化与CM4较为接近. 作者认为 CM4模型可以较好地反映中国地区主磁场的变化．      

国际参考地磁场模型中高阶球谐项对地磁场长期变化的影响

在国际参考地磁场（IGRF）模型中，高阶球谐系数比低阶系数小得多，所以高阶项对主磁场的贡献常被忽略不计. 但是，高阶项对主磁场的长期变化却有重大影响. 本文根据第八代IGRF模型，分析了IGRF 1945～1955中高阶球谐系数的异常特征对长期变化的影响，然后用修正IGRF模型估计并改正了这些影响. IGRF高阶项随深度增加而迅速增大，所以高阶系数的误差对深部磁场位形和磁场能量的计算有不可忽视的影响，对核幔界面流动状态的推断和地核半径的地磁估计有更为重大的影响.     

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.     

地震震中和地磁偏角的空间分布

对1900～2002年全球记录到的震级M≥4．0地震震中,利用IGRF（国际地球参考场）国际参考模型确定地磁场的特征。研究了主要地震活动带的地理学和内源引发的基本地磁场几何学之间的关系,查明了不同构造类型的地震活动带全球分布与地磁偏角或地磁场东-西向分量分布之间的构造对应。     

基于CHAMP卫星与地面矢量数据联合建立中国地磁模型

首先对地面台站以及CHAMP卫星的矢量磁测数据进行预处理,结合12个子午工程台站最新的磁测数据,并利用第十二代国际地磁参考场模型(IGRF12)对不同数据归算至统一时间点,再结合第四代地磁场综合模型(CM4)计算并移除主磁场、磁层磁场、电离层磁场、感应磁场及较为微弱的环形场,最后通过球冠谐(SCH)模型联合建立了中国地区岩石圈磁场(地磁要素X、Y、Z和总强度F)的球冠谐模型(SCH2000),结合IGRF12得到了中国地磁模型(CGRF2000).建模同时考虑了测点数据海拔高度的影响,并讨论了截断阶数的选取以及边界效应的控制问题.通过比较均方偏差(RMS),认为8阶SCH2000模型可较好地反映中国地区岩石圈磁场,其分布与SCH1936、CM4以及Taylor多项式模型具有一定的相似性.从位置和强度来看,SCH2000模型所反映的岩石圈磁场更为准确,而与CM4存在一定差异,除了测点不同,截断阶数也是原因之一.通过验证,SCH2000模型各要素随高度的变化与CM4模型较为一致,所建立的CGRF2000与IGRF12模型的分布也较为相似.     

Construction of the spatial-temporal model of the main geomagnetic field using satellite data

The spatial-temporal model of the geomagnetic field has been constructed using the data of the high-accuracy survey of the CHAMP German satellite, obtained during its operation from May 2001 to September 2007. The daily average spherical harmonic models calculated at an interval of four days are used as initial data in order to expand these models by the method of natural orthogonal components (NOCs). It has been indicated that the obtained NOC series rapidly converges. The secular variations, secular acceleration, and Dst variation are distinguished as individual NOC components, which makes it possible to construct the spatial-temporal field model. In addition, the models-predictions have been constructed for the year 2008 based on the candidate models of the main field and the secular variation for the year 2005, which were used to obtain the IGRF2005 international model. A comparison of the models-predictions with the model constructed for the year 2008 using our method indicated that the accuracy of our model is not lower than that of the models, obtained by other scientific groups using the traditional method.     

东亚大陆磁异常的西向漂移

西向漂移是地磁场长期变化最重要的特点之一,而西漂最显著的部分是非偶极子场部分．本文以１９００-２０００年国际参考地磁场（ＩＧＲＦ）为依据,运用无线电科学中的"移动变形图案相关分析"方法对近百年来东亚大陆磁异常的漂移运动进行了分析,得到磁异常各分量漂移矢量随时间的变化．结果表明,最能代表地磁场西漂特征的Ｚ分量异常近百年来平均西漂速度为０.０７°／ａ,明显小于全球磁场西漂的平均速度０．２°／ａ．Ｚ分量还显示出０.０２°／ａ的缓慢北向漂移．详细分析还表明,东亚大陆磁异常的漂移分为３个阶段：１９００-１９３０年为较快的西漂,平均速度为０.１０°／ａ;１９３０-１９８０年为西北向漂移,平均西漂速度分量０．０７°／ａ,北漂速度分量为０．０４°／ａ;１９８０年后漂移几乎停止,并有转为东漂的迹象．     

2000年中国地区地磁场长期变化的区域特征

本文用中国地磁场复测点和地磁台站资料,建立了2000年代中国参考地磁场长期变化模型CGRF-SV2000.模型显示,中国地区地磁场变化比较平缓,X、Y、Z、H、D、I、F七个地磁要素的“无符号平均年变率”分别为122 nT/a、82 nT/a、438 nT/a、118 nT/a、096(′)/a、299(′)/a、224 nT/a,比国际参考地磁场IGRF给出的全球年变率约小1/3到1/2.各地磁要素的变化显示,地磁北极正在向中国移近,或者说,中国正在向高地磁纬度方向移动,平均移动速度约为3(′)/a.磁偏角变化还显示,中国地区东西部偏角差异继续扩大.作为检验和对比研究,本文利用第8代国际参考地磁场（IGRF）模型,分析了全球地磁场长期变化的时空特征,讨论了全球长期变模型IGRF_SV与中国长期变模型CGRF_SV的异同点.对比分析表明,中国地区地磁场的长期变化与全球长期变化总趋势基本符合,但是,CGRF_SV也表现出一些特有的局部异常特征.