共查询到20条相似文献，搜索用时 46 毫秒
1.
T. J. Lee 《Pure and Applied Geophysics》1980,119(2):309-338
The integral equation for the electromagnetic response of a sphere in a layered medium may be solved as follows. First, the unknown time harmonic electric field in the sphere is expanded in spherical vector waves. Secondly, the coefficients for these wave functions are found by a set of equations. The equations are found by multiplying the integral equation throughout by each wave function and integrating over the spherical conductor.Once the unknown coefficients have been determined, then the transient response may be found by taking the inverse Fourier transform. In carrying out the Fourier transform one learns that for most of the time range used in prospecting, only the lowest order vector wave function is significant. A study of the singularities of the spectrum of the transient shows that, for the time range considered, only a single branch cut is significant. There are no pole type responses. That is, the field does not decay exponentially. Previous studies of a sphere in free space reported only pole type responses. That is, at the later stages, the field decays exponentially. This study shows that, in order to model satisfactorily the effect of the host rock on transient electromagnetic fields, the sphere must be placed in layered ground. 相似文献
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本文发展了积分方程法用于层状介质中三维不均匀体的大地电磁模拟算法（简称MT）.分为二个步骤:第一步,异常体用等效的散射电流代替,通过层状介质中的格林函数,建立以散射电流为未知参数的积分方程;第二步,把求得的散射电流乘上相应的格林函数,即得地面上的二次电磁场,由此而计算出各种MT响应. 文中采用了数值滤波与插值、群变换以及格林矩阵带状化三个方面的数值处理方法,提高了计算效率.通过与已发表的三维MT计算结果对比及格林函数互易性检验,表明了该算法的正确性.在此基础上,进行了数值模拟,初步讨论了三维MT曲线的畸变特点. 相似文献
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进一步提高瞬变电磁法对地探测的解释精度,提出了回线源瞬变电磁成像原理及数值计算方法. 讨论了频率域中水平层状介质中瞬变电磁响应,得到一个以波阻抗为积分核的双重积分式;然后对水平层介质下电磁场的解进行上、下行波分离,得到含有以反射系数序列为未知的线性方程组,并给出了求取波阻抗和反射系数的数值解法：对实测磁场值进行域的变换,以均匀半空间下的等效波阻抗代替积分核函数,经过线性数字滤波后,在频率域求出等效波阻抗;把频率域中的波阻抗转换到时间域,以此为参数,构建方程组,在时间域用线性规划法求出反射系数序列. 最终以反射系数为参数进行成像. 对理论模型的数值计算结果表明,用本文提出的成像方法可以增强瞬变电磁法识别地下电性分界面的能力. 相似文献
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The non-linear steady state vibration of shallow arch beams is studied by a finite element method based on the principle of virtual work. Both the free and forced periodic vibrations are considered. The axial and flexural deformations are coupled by the induced axial force along the beam element. The spatial discretization is achieved by the usual finite element method and the steady state nodal displacements are expanded into a Fourier series. The harmonic balance method gives a set of non-linear algebraic equations in terms of the vibrating frequency and the Fourier coefficients of nodal displacements. The non-linear algebraic equations are solved by the Newtonian algorithm iteratively. The combined algorithm is called the incremental harmonic balance method. The importance of the conditions of completeness and balanceability is presented. Since the non-linearity is essentially softening, different orders of internal resonances between two modes can occur repeatedly. Isolated response curves are possible and are connected to the bifurcation of a particular excited mode. 相似文献
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随钻地质导向钻井的关键在于对边界的探测,为提高仪器探测深度,时谐源激励的电磁波测井方法通常采用降低频率、增大源距的方式.瞬变电磁波测井信号源的突然关断产生会产生感应涡流,涡流随时间向地层深部扩散,与时谐源激励方式相比,其探测深度更大且测量过程不受信号源的干扰.因此,本文提出一种时间域瞬变电磁波测井边界远探测方法,采用余弦变换的数值滤波算法,模拟层状地层同轴发射接收线圈的瞬变电磁波测井响应,结果显示,地层电导率越大,电磁波传播速度越慢,测量晚期感应电动势与地层电导率线性相关;通过定义层状介质总场与线圈系所在当前层背景场的差值可方便提取界面信息,对界面的探测距离可达数十米;瞬变电磁波测井响应受源距的影响很小,为利用短源距实现远探测提供了可能.瞬变电磁波测井与时谐源电磁波测井相比优势明显,在电磁波测井领域中应用前景广阔. 相似文献
6.
采用Duhamel积分对斜阶跃电流激励的瞬变电磁场进行直接计算,应用叠加原理得到了多匝小回线全域瞬变电磁响应.研究了多匝小回线的早、晚延时临界条件以及等磁矩单匝大回线与多匝小回线的延时和关断时间特征,分析了电阻率、厚度等参数变化时斜阶跃电流对层状模型瞬变响应的影响特征,最后采用实测数据验证了关断效应的校正效果.结果显示,回线边长越小或表层电阻率越大,瞬变响应越早离开早期并进入晚期.多匝小回线的关断时间远大于等磁矩的单匝大回线,但由前者激发的瞬变响应进入晚期的时间却大幅提前,更有利于晚期条件下各种理论公式的使用.斜阶跃影响校正结果显示,增加多匝小回线的匝数可以扩展反演深度的范围,减少匝数则可以提高反演电阻率的精确性;实测数据处理结果显示校正方法产生了一定的效果.本研究补充了多匝小回线瞬变电磁理论内容,研究结果可以为复杂环境中小尺寸多匝线圈的工作参数选择提供参考. 相似文献
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本文给出一种用积分方程法配合有限差分法计算位于导电介质中三维导体的电磁响应的新途径,在二层大地条件下给出了具体计算方法和结果。详细讨论了围岩介质的导电性对导体异常的影响。这对于开展低阻覆盖层地区的电磁法工作具有一定的指导意义。 相似文献
10.
基于孔隙介质的Biot理论,首先利用Laplace变换,给出圆柱坐标系下横观各向同性饱和弹性多孔介质在变换域上的波动方程;将波动方程解耦后,根据方位角的Fourier展开和径向Hankel变换,求解了Biot波动方程,得到以土骨架位移、孔隙水压力和土介质总应力分量的积分形式的一般解;借助一般解,建立了有限厚度饱和土层和饱和半空间的精确动力刚度矩阵,并由土层的层间界面连续条件建立三维非轴对称层状饱和地基的总刚度方程;在此基础上,系统研究了横观各向同性饱和半空间体在内部集中荷载激励下的动力响应,并给出了问题的瞬态解答.该研究为运用边界元法求解饱和地基动力响应奠定了理论基础. 相似文献
11.
采用有限元直接迭代算法实现了线源频率域测深电磁响应的二维正演计算. 首先给出了线源正演问题的有限元直接迭代格式,然后由迭代法进行求解. 在处理奇异源问题上,采用向内递推的组合网格技巧,在源点附近可进行局部加密,并实现粗细网格的对接,从而较好地解决了奇异源附近的计算问题. 还提出一种迭代求取全区视电阻率的方法,避免了远近区的划分. 通过对均匀半空间、层状介质和二维模型电磁响应的计算,获得了与大地电磁测深相似的视电阻率曲线,验证了算法的正确性;通过对计算结果的分析,在理论上说明了线源频率域近区测深的可行性. 相似文献
12.
T. LEE 《Geophysical Prospecting》1983,31(5):766-781
The presence of a conducting environment about a spherical ore body must be considered when calculating the transient electromagnetic response of the ore body due to a step current flowing in a large circular loop at the earth's surface. Failure to do this can easily lead to errors in excess of 10% in numerical calculations. Moreover, there is only a limited time interval in which the response of the spherical conductor is easily seen. In a poorly conducting ground the resonance response of the sphere is the first to be excited. Later, however, the non-resonance or wave-type response is excited. These waves destructively interfere and finally the response of the sphere decays with time as t?7/2. For a range of times and depths the best loop for detecting the sphere has about the same radius as the sphere. 相似文献
13.
An integral equation technique based on the integral formulation of the electric field of a harmonically excited line-source in the presence of a two-dimensional scattering in-homogeneity is outlined. In this treatment the inhomogeneity is assumed to have an arbitrary cross-sectional shape and to be located in a layered, dissipative half-space. The scattering responses in terms of the horizontal and the vertical magnetic field components observed on the ground surface are studied for a variety of geologic models involving overburden layers, vertical or inclined veins and multiple inhomogeneities. The horizontal component of the total magnetic field appears to be the most diagnostic response parameter. A thin vein shaped target with a cross sectional area of 0.05 δ2× 0.50 δ2 (δ2 being the skin-depth in the lower half-space) located 0.50 δ2 away from the line-source and under a highly conductive overburden layer (σ1/σ2= 300) of thickness 0.02 δ2 is easily detected with a moderate resolution. The scattering responses are also sensitive to changes in depths of burial, inclination and conductivity contrast with the surrounding half-space of the target inhomogeneity. An interpretation scheme as well as a number of characteristic detectability parameters are developed for the conventional Turam method used in mineral exploration. 相似文献
14.
D.J. BUCHANAN 《Geophysical Prospecting》1986,34(3):343-365
The imaging of faults in coal seams by the in-seam seismic method has now become standard practice. In the UK over 300 surveys have been undertaken and the technique is now part of the exploration arsenal of colliery planners. From these users comes the pressure for two major improvements, namely an increase in range and target identification. This paper is directed towards the latter problem. It has long been recognized that the reflected channel waves must contain information on the fault structure that caused the reflection, and model experiments have been undertaken to investigate the reflection process. Only recently, however, have attempts been made to quantify the reflection process. Calculations using both the finite-difference and finite-element techniques have been carried out, and estimates of the reflection coefficient as a function of frequency have been obtained. The object of this paper is to extend these considerations by calculating analytically the scattering matrix of an SH-channel wave after interaction at a fault plane. The scattering matrix is calculated as a function of frequency, hade angle, and fault throw. The method employed is based on the decomposition of the incident SH-channel wave into Fourier components, the calculation of plane wave reflection and transmission coefficients within the constraints of geometrical acoustics, and finally the synthesis of the scattering matrix by application of the Helmholtz-Kirchhoff integral. The calculation throughout is restricted to normal modes. 相似文献
15.
针对矩形大定源介绍了一种层状导电模型瞬变电磁响应的快速计算方法.其基本思想是,将大定源回线源用较少的有限大小方形回线叠加.在频率域,该叠加过程导出矩形大定源回线模型响应可以表示为一个标准的Hankel积分,叠加效应仅仅是相应Bessel函数的空间积分过程.瞬变电磁响应可以利用余弦变换由频率域响应获得.均匀半空间模型计算结果和解析解较为吻合,层状模型模拟结果符合物理规律,不同测点位置感应电动势的视电阻率具有很好的一致性.新方法误差只是来源于圆回线对小方形回线的等效误差.与均匀半空间解析结果比较,只用16个方形回线等效,相对误差就可以小于10-3. 相似文献
16.
An impedance matrix is derived for the relationship between displacements and external excitations of a rigid or flexible foundation embedded in a layered soil medium. The unknown contact distributed force between the foundation and soil is expanded in the frequency domain as a twofold series of azimuthal and radial components; each term represents a basic or fundamental distribution. As a result, the total response of the soil, either of displacements or stresses, has the same type of series expression except for the fundamental distributions replaced by influence functions. The coefficients of the series expansion, appearing in both equilibrium conditions of the foundation and compatibility conditions on the contact surface, relate the foundation displacements and excitations, and, therefore, result in the impedance matrix. Avoidance of integral equations in the soil-structure interaction analysis is the merit of the present approach. 相似文献
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A filter method is presented which allows a qualitative and quantitative identification of wave modes observed with plasma experiments on satellites. Hitherto existing mode filters are based on the MHD theory and thus they are restricted to low frequencies well below the ion cyclotron frequency. The present method is generalized to cover wave modes up to the characteristic ion frequencies. The spectral density matrix determined by the observations is decomposed using the eigenvectors of the linearized Hall-MHD equations. As the wave modes are dispersive in this formalism, a precise determination of the κ-vectors requires the use of multi-point measurements. Therefore the method is particularly relevant to multi-satellite missions. The method is tested using simulated plasma data. The Hall-MHD filter is able to identify the modes excited in the model plasma and to assign the correct energetic contributions. By comparison with the former method it is shown that the simple MHD filter leads to large errors if the frequency is not well below the ion cyclotron frequency. Further the range of validity of the linear theory is examined rising the simulated wave amplitudes. 相似文献
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成层粘弹性土中桩土耦合纵向振动时域响应研究 总被引：10，自引：3，他引：7
从三维轴对称角度出发,采用粘性阻尼粘弹性连续土介质模型,考虑桩土相互作用效应,对成层土中桩土纵向耦合振动时的桩顶时域响应进行了解析研究。求解时,首先建立定解问题,然后利用拉氏变换先对底部土层进行求解得到其振动位移形式解,然后利用桩土接触界面连续条件来考虑桩土耦合作用,分析底层土中桩段的动力反应,然后利用桩段阻抗函数的传递性,进行逐层递推求解,最终得到桩顶时域和频域响应的半解析解。通过参数影响分析和与工程实测曲线的对比,讨论分析了成层土中桩土耦合振动的响应特性,验证了本文解。基于本文研究可为桩基抗震、防震设计、桩基动力检测提供新的理论支持。 相似文献
19.
层状饱水软土地基三维非轴对称动力响应分析方法 总被引：1，自引：0，他引：1
将饱水软土地基视为两相介质、考虑水的渗流和土骨架9变形的耦合作用，用Fourier展开和Hankel积分变换分析三维非称对称饱和弹性土层波动方程，用刚度矩阵方法，建立了层状饱和软土地基三维非轴对称动力响应的解析分析方法。以数值算例对比分析了单相土介质与两相饱和土介质三维非轴对称稳态动力响应，结果表明：在饱水软土地基动力响应分析中应该考虑土体中孔隙流体的影响。 相似文献
20.
Peng Wang Yuan-Qiang Cai Chang-Jie Xu Hong-Lei Sun Li-Zhong Wang 《Soil Dynamics and Earthquake Engineering》2011
A study is carefully conducted for the rocking response of a rigid circular foundation resting on a poroelastic half-space when subjected to seismic waves under the framework of Biot’s theory. The free-field waves, rigid-body scattering field waves and radiation scattering field waves are introduced to consider the complex behavior of the soil owing to the scattering phenomena caused by the existence of the foundation. The contact surface between the soil and the foundation is supposed to be perfectly bonded and fully permeable. Combining with the divided wave fields, two sets of dual integral equations elaborating the mixed boundary-value conditions are established, and then reduced to Fredholm integral equations. Therefore, with a semi-analytical method, the expressions of the rocking displacements are obtained. The numerical results of the rocking vibration of the foundation for incident P, SV and Rayleigh waves are presented. The influences of certain parameters, such as the permeability of the soil, the incident angle, Poisson’s ratio and the mass of the foundation, on the rocking vibration of the foundation are explored and studied. Different reactions are found when the foundation is excited by different waves. 相似文献