共查询到20条相似文献，搜索用时 31 毫秒
1.
Peter Furness 《Geophysical Prospecting》1994,42(5):405-416
The superposition integral expressing the field due to a magnetic source body is relatively simple to evaluate in the case of a homogeneous magnetization. In practice this generally requires that any remnant component is uniform and the susceptibility of the body is sufficiently low to permit the assumption of a uniform induced magnetization. Under these conditions the anomalous magnetic field due to a polyhedral body can be represented in an intuitive and physically appealing manner. It is demonstrated that the components of the magnetic field H can be expressed as a simple combination of the potentials due to two elementary source distributions. These are, firstly, a uniform double layer (normally directed dipole moment density) located on the planar polygonal faces of the body and, secondly, a uniform line source located along its edges. In practice both of these potentials (and thus the required magnetic field components) are easily computed. The technique is applicable to polyhedra with arbitrarily shaped faces and the relevant expressions for the magnetic field components are suitable for numerical evaluation everywhere except along the edges of the body where they display a logarithmic singularity. 相似文献
2.
Peter Furness 《Geophysical Prospecting》2000,48(3):603-615
Existing techniques for computing the gravitational field due to a homogeneous polyhedron all transform the required volume integral, expressing the field due to a volume distribution of mass, into a surface integral, expressing the potential due to a surface mass distribution over the boundary of the source body. An alternative representation is also possible and results in a surface integral expressing the potential due to a variable-strength double layer located on the polyhedral source boundary. Manipulation of this integral ultimately allows the gravitational field component in an arbitrary direction to be expressed as a weighted sum of the potentials due to two basic source distributions. These are a uniform-strength double layer located on all faces and a uniform-strength line source located along all edges. The derivatives of the gravitational field components can also be expressed in a similar form as can the magnetic field components due to a homogeneous magnetic polyhedron. It follows that the present approach can be used to generate a universal program capable of modelling all the commonly used potential field responses due to 3D bodies of arbitrary shape. 相似文献
3.
Ertan Pek?en Türker Yas A. Yekta Kayman Co?kun Özkan 《Journal of Applied Geophysics》2011,75(2):305-318
Particle swarm optimization (PSO) is a global search method, which can be used for quantitative interpretation of self-potential data in geophysics. At the result of this process, parameters of a source model, e.g., the electrical dipole moment, the depth of the source, the distance from the origin, the polarization angle and regional coefficients are estimated. This study investigates the results and interpretation of a detailed numerical data of some simple body responses, contaminated and field data. The method is applied to three field examples from Turkey and the results are compared with the previous works. The statistics of particle swarm optimization and the corresponding model parameters are analyzed with respect to the number of generation. We also present the oscillations of the model parameters at the vicinity of the low misfit area. Further, we show how the model parameters and absolute frequencies are related to the total number of PSO iterations. Gaussian noise shifts the low misfit area region from the correct parameter values proportional to the level of errors, which directly affects the result of the PSO method. These effects also give some ambiguity of the model parameters. However, the statistical analyses help to decrease these ambiguities in order to find the correct values. Thus, the findings suggest that PSO can be used for quantitative interpretation of self-potential data. 相似文献
4.
A quantitative interpretation method of self-potential field anomalies has been proposed. The method is designed and implemented for the estimation of center depth, electric dipole moment or magnitude of polarization, polarization angle, and geometric shape factor of a buried body from SP field data, related to simple geometric structures such as cylinders, spheres and sheet-like bodies. The proposed method is based on Fair function minimization and also on stochastic optimization modeling. This new technique was first tested on theoretical synthetic data randomly generated by a chosen statistical distribution from a known model with different random noise components. Such mathematical simulation shows a very close agreement between assumed and estimated model parameters. Being theoretically proven, it has been applied and tested on self-potential field data taken from the United States, Germany, India and Turkey. The agreement between results obtained by the suggested method and those obtained by other previous methods is good and comparable. Moreover, the depth obtained by this method is found to be in high accordance with that obtained from drilling information. 相似文献
5.
A numerical method is given for calculating resistivity and induced polarization anomalies produced by a surface polarization model. Surface polarization is generated when a purely electronic conductor is located in an electrolyte environment. The system that develops on the boundary between the conductor and the electrolyte is described macroscopically by a net surface charge distribution and an electric double layer. An integral equation is derived for the potential by assuming that the electronic conductor forms an equipotential system and that the polarization impedance across the boundary is linear. The integral equation is solved by means of the method of subsections. As an application some numerical modeling results are presented. The surface impedance values used in calculations are based on laboratory measurements that are briefly described. Implications of the results for scale modeling are discussed. 相似文献
6.
v--vUsing Frank and Wolfe's algorithm, a new interesting nonlinear programming technique has been developed in an attempt to estimate the geometric shape factor of a buried polarized body from a residual self-potential anomaly. Furthermore, the depth, the polarization angle and the electrical dipole moment have also been derived. This algorithm is noted to be robust and its application to SP data converges rapidly towards the optimal solution. The developed technique is tested through studying synthetic data with and without random noise. As a result, the near agreement between the model geometric shape factor and the evaluated one is well recognized. The validity of this proposed technique is tested on a field example from the Ergani Copper district, Turkey. The superiority of the nonlinear programming technique over other recently published methods is shown. 相似文献
7.
Summary The excitation of the earth's normal modes is formulated as an initial value problem. The static state of the earth, stressed from its hydrostatic reference situation, is considered as the initial state. The initial state is relaxed, at the time of the earthquake, by the removal of the forces maintaining the departure from hydrostatic equilibrium. Expressions are derived for the coefficients giving the relative excitation of the individual modes for the cases where these forces are compensating volume forces or compensating tractions on the faces of a dislocation. It is demonstrated that a point slip dislocation has a body force equivalent in the form of a double couple with a deviatoric moment tensor. However, for a source with volume change no moment tensor equivalent can be found. The volume change, apart from an elastic effect which can be represented by an isotropic moment tensor, has a direct gravitational effect on the excitation. This effect is due to a balanced force field consisting of a point force at the source and a continuous distribution of volume forces throughout the earth. The latter distribution, if not taken into account, may give rise to artificial phases in the frequency spectrum of the normal modes. 相似文献
8.
K. H. Rädler 《地球物理与天体物理流体动力学》2013,107(3-4):191-211
Abstract This paper builds on a speculation by Moffatt (1979) on an apparent conflict between two results of dynamo theory in the high conductivity limit. Firstly, the finding by Bondi and Gold (1950) on the boundedness of the magnetic dipole moment of a perfectly conducting fluid body is, for a sphere, extended to all magnetic multipole moments. Secondly, a refined version is considered of the simple spherical mean-field dynamo model proposed by Krause and Steenbeck (1967). Some constraints on the mean electromotive force near the boundary of the conducting body are taken into account, which have not been recognized up to now. In the framework of the second order correlation approximation it is shown that it is just these constraints that ensure the boundedness of the magnetic multipole moments in the high conductivity limit. Thus the apparent conflict is resolved. In this context another possible source of error in mean-field dynamo models is pointed out. The present theory also adds insight into dynamo process in cosmical objects, in a way that is briefly discussed. 相似文献
9.
在非均匀动压冲击期间和冲击突然停止,可引起等离子体边界层的局部瞬时重联过程．本文用二维可压缩ＭＨＤ数值模拟方法研究了这两个过程．结果表明：当大尺度的均匀横向流从一侧边冲击边界层时,磁力线不弯曲,也不发生磁场重联,只是边界层被推着向下游运动;当局部的非均匀动压（特别是横向剪切流）冲击边界层时,被冲击的同向磁场区磁力线逐渐弯曲,在弯曲的反磁场区,出现磁岛,然后在电流片区发生磁场重联,且逐渐形成准稳态的“反Ｋ型”重联结构;当横向剪切流冲击停止后,边界层区变为非常不稳定的系统,产生多种流体涡旋和流型,并相应地产生多种类型的磁场重联结构,直到涡旋消失变为湍动状态时,磁场拓扑才逐渐恢复到未扰动状态。我们提出,外力作用的突然停止,可能是驱动重联的一种新机制,并对这种重联过程在磁层物理中可能的应用进行了讨论． 相似文献
10.
Scaling laws are derived for the time-average magnetic dipole moment in rotating convection-driven numerical dynamo models. Results from 145 dynamo models with a variety of boundary conditions and heating modes, covering a wide section of parameter space, show that the time-average dipole moment depends on the convective buoyancy flux F. Two distinct regimes are found above the critical magnetic Reynolds number for onset of dynamo action. In the first regime the external magnetic field is dipole-dominant, whereas for larger buoyancy flux or slower rotation the external field is dominated by higher multipoles and the dipole moment is reduced by a factor of 10 or more relative to the dipolar regime. For dynamos driven by basal heating, the dipole moment M increases like M F1/3 in the dipolar regime. Reversing dipolar dynamos tend to cluster near the multipolar transition, which is shown to depend on a local Rossby number parameter. The geodynamo lies close to this transition, suggesting an explanation for polarity reversals and the possibility of a weaker dipole earlier in Earth history. Internally heated dynamos generate smaller dipole moments overall and show a gradual transition from dipolar to multipolar states. Our scaling yields order of magnitude agreement with the dipole moments of Earth, Jupiter, Saturn, Uranus, Neptune, and Ganymede, and predicts a multipolar-type dynamo for Mercury. 相似文献
11.
L.J. Srnka 《Physics of the Earth and Planetary Interiors》1976,11(3):184-190
The acquisition of thermoremanent magnetization (TRM) by a cooling spherical shell is studied for internal magnetizing dipole fields, using Runcorn's new theorems on magnetostatics. If the shell cools progressively inward, inner regions acquire TRM in a net field composed of the dipole source term plus a uniform field due to the outer magnetized layers. In this case the global dipole moment and thus external remanent field are non-zero when the whole shell has cooled below the Curie point and the source dipole has disappeared. The remanent field outside the shell is found to depend on the thickness, radii, and cooling rate of the shell, as well as the coefficient of TRM and the intensity of the magnetizing field. Some implications for the Moon's remanent dipole moment are discussed. 相似文献
12.
为了探索我国海域油气和水合物等高阻目标体CSEM勘探的可行性和方法技术,本文研究了在海水中水平电性源激励下有限水深海洋地电模型的频率域电磁响应,为进一步的1D和3D仿真计算奠定了理论基础.在推导电磁响应公式时,首先给出了各层介质的Lorentz势,然后根据Coulomb势与Lorentz势的关系,得到了各层介质的Coulomb势.各层介质中的电磁场均可以由Lorentz势或者Coulomb势计算得到,但在有限元计算时Coulomb势具有优势.长导线源的电磁场和势函数可以由电偶源的电磁场和势函数沿导线长度积分得到.文中具体给出了海水中水平电偶源和长导线源在海水层的电磁场公式,并根据该公式计算了不同水深环境下海底表面的电磁场分布,分析了海水深度对海底油气储层电磁异常的影响.结果表明,随着水深减小,异常幅度和形态特征发生明显变化.当水深很浅时(如50 m),只有同线方向的Ex和Ez两个电场分量存在明显异常.最后,以两个已知海底油田为例,计算了不同水深环境下可观测到的电场异常,展示了电性源频率域CSEM在海底勘探中(包括浅海环境)的良好应用前景.对于该方法实用化过程中还需进一步解决的问题,文中结尾部分也进行了初步探讨. 相似文献
13.
地空电磁法已经成为深部资源勘探的重要地球物理方法,但对频率域地空系统的三维多源电磁响应特征研究较少.本文设计了多种激励源组合方式,采用非结构化有限元数值模拟方法,对三维地电模型的空中垂直磁场的响应特征进行了研究.首先推导了基于电场的双旋度公式及其变分形式,加入罚项以减少伪解的影响.接着把有限元稀疏矩阵方程转换为频率的函数,采用Krylov子空间投影方法,通过模型降阶算法降低稀疏矩阵的阶数,实现多频点的快速计算.建立了三维低阻体模型、高阻体模型以及两个相邻低阻体模型,分别采用单源、双源、三源和四源激励模式,从垂直磁场的总场、二次场响应和全域视电阻率等方面进行分析比较.结果表明:多源地空电磁法不仅可以增加总场的强度,而且可以改变异常体的二次电磁响应分布规律.各电偶源延长线呈正三角形分布的三源和矩形分布的四源激励模式在增强信号强度以及削弱异常体的边界效应方面具有一定的优势,是一种优化的多源激励方式. 相似文献
14.
本文利用地下电偶极子产生的电磁场模型, 尝试模拟和推算地震前地面电磁台站观测数据所需震源深度处等效电偶矩。 结果显示, 在观测频率为1 Hz, 地下平均电导率取7.0×10-4 S/m 时, 2008年汶川MS8.0地震前电磁异常高潮期, 距离震中1440 km 的高碑店台NS测向观测到1.3 mV/m的电场强度所需震源深度处等效电偶矩量级为1013A·m; 若考虑地震主破裂长度150 km, 则产生的地电流量级为108 A。 同时, 这一等效电偶源在地面产生电场的2D分布图显示出很强的方向性(或不均匀性); 信号强度和电流源方向存在着密切的关系, 且电磁场值随观测距离增大而衰减迅速。 这部分地解释了地震相关电磁异常信号的方向性(或不均匀性)的观测事实; 如果观测点位于非强信号区, 即使在有效的探测范围内也可能记录不到异常信息, 这对地震监测台网仪器选址和布置提出了要求, 具有现实的指导意义。 相似文献
15.
本文讨论了带电粒子在电磁场中的运动区域.在计算过程中假定磁场是有势的,并且势函数分别考虑为轴对称与平面函数.计算结果表明:当磁场足够强时,粒子运动区的边界与磁力线是相似的.这个结果表明,我们可以根据磁力线图形确定带电粒子的运动区.此外,还将上述计算结果与模型实验做了对此,在磁场中的辉光放电实验里,放电中的辉光区部分相当于粒子的运动区,暗区部分相当于粒子禁区.对比结果表明,辉光区的边界与磁力线相似,其中有以下几个结果:（1）当磁场是一个偶极磁场,并且其磁短的大小大于其临界值时,则放电辉光将被捕获于偶极磁场中,其边界近似于磁力线;（2）当偶极磁场受到扰动时,设扰动场分别考虑为与赤道面上的偶极磁场方向相反的均匀磁场,以及位于捕获区之外在赤道面上的电流环磁场时,则偶极磁场磁力线将向外伸长,实验观测到被捕获于偶极磁场中的辉光将同时伸长,并且辉光区边界的变化与磁力线的变化是相似的;（3）根据中性线磁场中的辉光放电实验表明,辉光区的边界仍然与中性楱磁场的磁力线相似.由于气体放电中的现象比较复杂,因此要进行定量的计算是比较困难的,为此我们引进了一些简化假定,定量计算了辉光区在上进各种磁场中的边界,计算出来的辉光边界的大小和形状与实验结果是相同的. 相似文献
16.
Moment tensor inversion of near-source broadband data 总被引：1，自引：0，他引：1
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17.
A study of dayside auroral conjugacy has been done using the cleft/boundary layer auroral particle boundaries observed by the DMSP-F7 satellite in the southern hemisphere and the global UV auroral images taken by the Viking spacecraft in the northern hemisphere. The 22 events have been studied on the basis of an internal IGRF 1985 magnetic field; it is shown that there is a displacement of up to 4° in latitude from the conjugate points with the northern aurora appearing to be located poleward of the conjugate point. No local time dependence of the north-south auroral location difference was seen. The use of a more realistic magnetic field model for tracing field lines which incorporates the dipole tilt angle and Kp index, the Tsyganenko 1987 long model plus the IGRF 1985 internal magnetic field model, appears to organize the data better. Although with this external plus internal model some tracings did not close in the opposite hemisphere, 70% of those that did indicated satisfactory conjugacy. The study shows that the degree of auroral conjugacy is dependent upon the accuracy of the magnetic field model used to trace to the conjugate point, especially in the dayside region where the field lines can either go to the dayside magnetopause near the subsolar point or sweep all the way back to the flanks of the magnetotail. Also the discrepancy in the latitude of northern and southern aurora can be partially explained by the displacement of the neutral sheet (source region of the aurora) by the dipole tilt effect. 相似文献
18.
在综合分析前人研究成果的基础上, 采用基于贝叶斯准则的等效源模型滤波增强方法来识别地质体边界。 通过理论模型实验讨论了在相同的噪声水平情况下, 不同算法对于计算结果的影响, 模型实验结果表明, 与直接计算和传统高斯滤波增强技术相比, 新算法可以有效消除传统算法中普遍存在的对于噪声的过度敏感问题, 所得到的地质体边界形态失真更小。 随后, 利用此方法对川滇地区的重力数据进行了处理, 并对该地区的重力水平总梯度(THD)、 重力垂直梯度模(AVG)、 重力解析信号模量(AAS)、 重力水平梯度垂向导数(VGHD)应用效果进行了对比分析。 研究结果提供了川滇地区的构造分区信息, 对该地区构造演化、 边界定位及动力学过程分析具有重要的指导意义。 相似文献
19.
A new approach is proposed in order to interpret field self-potential (SP) anomalies related to simple geometric-shaped models such as sphere, horizontal cylinder, and vertical cylinder. This approach
is mainly based on solving a set of algebraic linear equations, and directed towards the best estimate of the three model
parameters, e.g., electric dipole moment, depth, and polarization angle. Its utility and validity are demonstrated through
studying and analyzing synthetic self-potential anomalies obtained by using simulated data generated from a known model and
a statistical distribution with different random errors components. Being theoretically tested and proven, this approach has
been consequently applied on two real field self-potential anomalies taken from Colorado and Turkey. A comparable and acceptable
agreement is obtained between the results derived by the new proposed method and those deduced by other interpretation methods.
Moreover, the depth obtained by such an approach is found to be very close to that obtained by drilling information. 相似文献
20.
The South Atlantic magnetic Anomaly (SAA) is an important feature of the present geomagnetic field. In this paper we model the space–time evolution of this anomaly over the past 400 years in terms of the resultant between a decrease of a global axial dipole and an increase of a virtual local monopole source. Certain characteristics of this evolution are investigated and some considerations are made in the light of a possible special state of the global geomagnetic field dynamical regime. Among the possible speculations, one is made regarding the topography of the core-mantle boundary (CMB) and its possible aspect beneath the SAA region in terms of simple sinusoidal undulations met by the monopole source during its centennial motion. 相似文献