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采用规则六面体单元和并矢Green函数奇异积分等效积分技术,已有的大地电磁积分正演方法具有不能有效模拟地下复杂地质体和计算精度偏低的缺点.本文提出了一种新的三维大地电磁积分方程正演技术,即采用四面体单元、解析的并矢Green函数奇异积分表达式,达到既能模拟地下复杂异常体,又能有效提高已有积分方程法计算精度的目的.首先,采用四面体网格技术离散地下复杂异常体,获得四面体单元上的大地电磁积分方程.然后,利用针对四面体单元开发的新的奇异值积分的解析表达式,准确计算线性方程中的并矢Green函数的奇异积分,从而获得精确的线性方程.借助于PARDISO高性能并行直接求解器,实现了三维大地电磁问题的高精度求解.最后,基于国际标准3D-1模型和六棱柱模型,通过与其他方法结果的对比分析,验证了本文方法的正确性、处理高电导率对比度的能力(1000:1)和处理复杂模型的能力. 相似文献
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考虑到可控源音频大地电磁法(CSAMT)电偶极发射源与地下介质的三维结构特点,本文采用非结构化网格剖分技术,开展了三维CSAMT方法有限元数值模拟研究,将三维电磁场的背景场和异常场分别求解,避免了电偶极发射源的奇异性问题,并减小了计算区域.推导了三维异常电场遵循的有限元方程,加入散度条件进行约束以消除电场伪解;对非结构化网格单元采用高斯加权平均算法,得到了精度较高的异常磁场.针对层状介质模型,与积分方程法对比,验证了有限元算法的正确性;计算分析了典型三维地质模型的电磁响应,异常体反映明显.结果表明本文算法正确、可靠,适用于三维地质模型的CSAMT方法正反演研究. 相似文献
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利用积分方程法实现了均匀导电半空间三维大地电磁响应的数值模拟。求取张量格林函数积分时,采用二次剖分算法解决计算中奇异值问题,对于含有贝塞尔函数的积分项,利用结合连分式展开的高斯求积代替常规的快速汉克尔变换方法,确保了张量格林函数的正确计算并提高了计算精度。最后通过数值模拟结果的对比及模型试算验证了算法的正确性,所实现的三维大地电磁数值模拟算法为理论研究三维地电构造的大地电磁响应的分布规律提供了有效的工具,也为研究三维反演算法奠定了基础。 相似文献
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作者在本文中提出并证明Fredholm第二类积分方程幂级数解新的收敛条件。根据新的收敛条件,详细设计了等效偶层法位场曲面延拓的计算方法。在两种地形的试算中,证明了收敛条件的正确性和计算方法的有效性,对数值计算中的问题也进行了讨论。 相似文献
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为了实现大地电磁测深三维高效快速正演算法,本文研究了大地电磁测深积分方程三维正演模拟的理论与方法.首先详细地推导了Fredholm型积分方程;然后给出积分方程的离散方法、并矢格林函数积分的求解方法以及大型矩阵方程的存储与求解方法;最后,通过理论地电模型的计算检验了方法和程序编制的正确性,并展示了几种理论地电模型的数值计算结果,分析其异常特征.算例结果表明,该正演算法在CPU主频为1.81GHz、内存为1GB的计算机上能正确地模拟多个异常体的异常特征;地表电性不均匀体会使地表视电阻率曲线产生十分严重的畸变;TE模式相对TM模式纵向分辨率比较好,而TM模式的横向分辨率较好;随着异常体埋深的增加,反映异常的分辨能力进一步降低. 相似文献
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研讨了频率域电磁法中不同源装置的大地电磁测深、线源频率电磁测深和偶极源频率电磁测深阻抗视电阻率的源效应影响特征。在唯象分析的基础上，提出了几种电磁测深法阻抗视电阻率的相互换算法──源效应校正法（大地电磁测深二维ＴＥ极化视电阻率和其它两种电磁法的赤道装置二维阻抗视电阻车）。模型试验表明，利用这一源效应校正法可以由大地电磁二维视电阻率近似地计算出线源频率电磁二维阻抗视电阻率。这一方法被尝试应用于由线源频率电磁二维阻抗视电阻率估算偶极源频率电磁二维阻抗视电阻率。 相似文献
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Summary In the paper we have transformed the steady and unsteady conductive heat transfer differential equation in spherical coordinates into a system of first order differential equations and processed them by method of propagator matrices to extrapolate the known surface heat flux and temperature to any desired depth. The elements of propagator matrices have been summarised for various piecewise continuous conductivity and rate of heat generation functions to approximate inhomogeneities in the earth. In the analysis the rate of heat generation is either assumed to depend linearly upon temperature or correspond to first order irreversible chemical reactions. 相似文献
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We examine the one-dimensional direct current method in anisotropic earth formation. We derive an analytic expression of a simple, two-layered anisotropic earth model. Further, we also consider a horizontally layered anisotropic earth response with respect to the digital filter method, which yields a quasi-analytic solution over anisotropic media. These analytic and quasi-analytic solutions are useful tests for numerical codes. A two-dimensional finite difference earth model in anisotropic media is presented in order to generate a synthetic data set for a simple one-dimensional earth. Further, we propose a particle swarm optimization method for estimating the model parameters of a layered anisotropic earth model such as horizontal and vertical resistivities, and thickness. The particle swarm optimization is a naturally inspired meta-heuristic algorithm. The proposed method finds model parameters quite successfully based on synthetic and field data. However, adding 5 % Gaussian noise to the synthetic data increases the ambiguity of the value of the model parameters. For this reason, the results should be controlled by a number of statistical tests. In this study, we use probability density function within 95 % confidence interval, parameter variation of each iteration and frequency distribution of the model parameters to reduce the ambiguity. The result is promising and the proposed method can be used for evaluating one-dimensional direct current data in anisotropic media. 相似文献
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V. K. Lemzikov 《Journal of Volcanology and Seismology》2007,1(3):185-197
Records of small local Kamchatka earthquakes were processed using Multiple Lapse Time Window Analysis (MLTWA). The method makes use of normalized integrals of 3D seismic energy density in several windows applied to an earthquake record that has been put through a bandpass filter. The intrinsic attenuation and scattering properties of the earth were estimated by choosing parameters that provide the best agreement between experimental and theoretical integrals as functions of hypocentral distance. The theoretical normalized integrals as functions of distance were computed using an analytical solution to the equation of seismic energy transport based on a simple model of isotropic scattering for scalar seismic waves excited by an impulse point source in an earth that is uniform as to scattering and intrinsic attenuation. The resulting estimates of attenuation and scattering parameters are similar to those derived in other studies of Kamchatka, as well as of other continents: America (California, US), Europe (the Canary Is., Spain, and Italy), and Asia (Japan). 相似文献
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High-frequency (≥ 2 Hz) Rayleigh-wave phase velocities have been utilized to determine shear-wave velocities in near-surface geophysics since the early 1980s. One of the key steps is to calculate theoretical dispersion curves of an earth model. When the earth model contains a low-velocity half-space, however, some roots of the dispersion equation turn out to be complex numbers, which makes phase velocities disappear at some frequencies. When encountering this situation, the common practice is to append an additional high velocity layer as the half-space to the model to make the roots real or use the real parts of complex roots as Rayleigh-wave phase velocities. The correctness of the first method has been verified. The correctness of the second method, however, remains to be unproved. We use synthetic data generated by numerical modeling of the wave equation to verify the correctness of the second method. In this paper, we firstly discuss the reasons that only complex numbers of the dispersion equation exist at some frequencies when an earth model contains a low velocity half-space. Then we discuss how the nearest offset affects a synthetic model and recommend an optimal nearest offset in generating synthetic data that are close to real-world situations. Several synthetic models are used to verify correctness of using real parts of complex roots as Rayleigh-wave phase velocities when an earth model contains a low velocity layer as the half-space. 相似文献
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R. S. Sidhu 《Pure and Applied Geophysics》1971,91(1):76-94
Summary This paper studies the propagation of Love waves in the following two-layered models: (i) a heterogeneous layer overlying a heterogeneous halfspace, (ii) a heterogeneous layer overlying homogeneous halfspace, (iii) a homogeneous layer overlying a homogeneous halfspace. The heterogeneities of the layer and halfspace are specified by different exponential functions of the depth. The dispersion curves have been drawn taking account of the actual variation of elastic parameters with depth in the Earth. The effects of the heterogeneities of the layer (crust) and halfspace (mantle) on dispersion curves have been discussed. 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
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IntroductionThe history of studying the changes in deep geoelectric conductivity of an earthquake preparation using the parameters of geomagnetic short-period variations has been about 30 years. At first, Japanese calculated the real transfer functions as well as the a and b coefficients of Parkinson vector by taking the measurement of graph and using empirical formula. There are some examples, such as the 1923 Kanto M=7.9 earthquake (Yanagihara, 1972), the 1966 Tashkent M=5.5 earthquake, t… 相似文献
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Electromagnetic induction of a three-dimensional conductivity inhomogeneity in the two-layered earth
Summary The calculation of the elements of Green's tensor function is presented for solving the problem of the electromagnetic induction by means of a vector integral equation. A two-layered Earth is considered as the medium, the surface layer including a three-dimensional conductivity inhomogeneity. Use is made of the boundary condition requiring the vertical component of the electric current to be zero at the Earth's surface which partly simplifies the theoretical computation. Long-period asymptotics of the individual complicated functions, occurring in Green's tensor function as well as in the tensor function required to calculate the components of the anomalous magnetic field at the surface of the halfspace, were effected. With the aid of these asymptotics one can obtain estimates of the functions occurring in the theoretical analysis of the problem. 相似文献