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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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常规三维观测系统设计的主要目的是得到规则采样的叠加数据体,能够用叠后偏移进行成像.叠前偏移成像对地震观测系统提出了更高的要求.基于叠前成像的要求设计观测系统,对于充分发挥叠前偏移技术优势、提高地震成像精度具有重要意义.本文提出了基于叠前成像的观测系统设计方法,首先基于叠前偏移空间采样准则设计观测系统的基本空间采样,然后根据采样均匀和面元属性一致性原则设计观测系统布局,并利用聚焦束、散射点叠前偏移响应、正演模型和波场照明等技术对观测系统逐步优化,得到符合叠前偏移成像要求并能解决地质问题的观测系统.该方法在中原油田近年来的高精度地震勘探中得到了实际应用,取得了良好效果. 相似文献
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Rayleigh波勘探方法在探测近地表横波速度、动力学特征等环境与工程地球物理领域获得了广泛应用.这种方法以弹性层状介质理论为基础,然而实际介质具有黏弹性,研究面波在层状黏弹性介质中的传播特征,将为近地表面波勘探提供有益帮助.在某些弹性层状介质模型中,例如存在低速夹层和强波阻抗差异地层模型,Rayleigh波相邻两条频散曲线彼此会非常靠近,产生看似彼此"交叉"的现象,即"osculation"现象,但对于黏弹性介质中的这种现象并没有进行相关的研究.本文利用Muller法计算层状黏弹性介质Rayleigh波频散方程,基于层状介质模型中Rayleigh波频散和衰减曲线连续的性质,结合本征位移曲线特征,分析二层黏弹性介质模型中Rayleigh波频散曲线"交叉"现象以及"交叉"点附近的波动特性.结果表明:与弹性介质相比,黏弹性介质中Rayleigh波的波动特性存在明显差异,随着介质对地震波的损耗越来越强,将导致Rayleigh波频散曲线发生"交叉"现象. 相似文献
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为提高水平层状介质中三维电磁波散射和逆散射数值模拟的效率,在对角张量近似(DTA)的基础上根据不同回代方式得到了求解积分方程的DTA1和DTA2两种近似. 这两种近似可以作为计算积分方程稳定型双共轭梯度快速Fourier变换(BCGS-FFT)算法的初始猜测值和预条件因子,从而形成效率更高的混合DTA-BCGS算法. 散射实例说明了DTA2的高精度和混合DTA-BCGS算法尤其是混合DTA2-BCGS算法的高效率. 由于DTA2近似程度更高,将DTA2与变型Born迭代反演方法(DBIM)相结合形成了一种对三维异常体进行重构的快速电磁波逆散射技术. 文中的逆散射实例说明所开发的逆散射技术对重构水平层状介质中的任意三维异常体是非常有效的. 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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三维地震观测系统共聚焦分辨率特性分析突破传统以点论证为基础的观测系统分辨率分析方法,面向地质目标定量预测三维观测系统地震成像的空间分辨率和振幅精度.基于Fourier有限差分（FFD）大步长波场延拓和Born-Kirchhoff小步长波场插值递推方法,本文介绍了一种复杂介质条件下三维地震观测系统共聚焦分辨率特性快速分析方法.对给定的速度模型,该方法能够分析拟采用的三维地震观测系统设计方案对复杂构造的成像分辨率与AVP属性,从而为进一步的偏移成像与储层分析提供保证.最后本文以SEG/EAGE三维盐丘模型为例设计满覆盖为16次的三维地震观测系统,并实施三维共聚焦分辨率特性分析. 相似文献
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Rayleigh波勘探作为地震勘探的主要方法之一,一直受到地球物理勘探学界的广泛关注,而Rayleigh波研究领域的焦点就是对频散特性的研究.本文基于超声虚拟仪器实验平台,从超声波和超声换能器特性出发,对均匀介质、低速覆盖和高速覆盖等模型中的Rayleigh波波场进行观测,运用时域分析、f-v域波场变换和H/V谱比等方法,研究层状介质中Rayleigh波多模式速度频散和椭圆极化的频散特征.在实验过程中,虚拟仪器技术的运用为Rayleigh波频散特性的多模态展现和识别提供了良好的平台,是本研究有力的技术保障.实验研究发现,在低速覆盖的水平层状介质中,Rayleigh波存在多模式频散,高阶模式对浅层速度变化更敏感,即便基阶模式面波占优,高阶成分仍易对地层信息识别造成误判;然而,当上覆层为高速介质时,此类模型中未观测到明显的Rayleigh波多模式现象.研究还发现Rayleigh波椭圆极化率与介质泊松比是密切相关的,该结论与前期理论研究结果非常吻合,从而进一步验证了Rayleigh波椭圆极化频散用于评价地层速度结构的可行性. 相似文献
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本文在文献[5]的基础上,以三层介质下边两层界面上隆模型为例,讨论了边界元法在解决层状介质中存在二维横向不均匀情况下点源场视电阻率计算问题方面的应用。在本文中,由于选取了适当的基本解,故在所导出的方程中避免了对水平层状界面的积分计算,只对起伏边界进行积分计算,并在理论推导中设法消除了位场在边界上的法向导数,因而最后形成的代数方程组规模相当小,从而大大减少了所需的边界部分点和未知量的数目,大量地节省了计算机内存,加快了计算速度。这给数值计算带来了很大的方便,并为向二维及三维多层介质中存有异常体的问题推广提供了便利条件。 相似文献
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在坑道超前探测方法中,直流电阻率法原理和操作简单,应用前景广阔,其中侧向聚焦电阻率法应用在测井中已经成为一种常用方法.本文研究了三维坑道直流聚焦法电极组合,首先计算分析了两个同性点电源的电流分布规律,指出由于电流的相互排斥作用,电流密度在这两个点电源的中垂线下一定深度处产生最大值,这个深度与这两个点源之间的距离成正比.基于上述原理,设计出三种电极组合：四点电源、五点电源和九点电源布极方式.其次,用三维有限单元数值模拟的方法计算了上述三种电极系的空间电位分布,得出九点电源方式对电流聚束效果较好,而且当主电极电流小于屏蔽电极电流时效果最好. 相似文献
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M.V. Manakou D.G. Raptakis F.J. Chávez-García P.I. Apostolidis K.D. Pitilakis 《Soil Dynamics and Earthquake Engineering》2010
The 3D structure of the Mygdonian sedimentary basin (N. Greece) is investigated. The aim of this study is to propose a 3D model of this sedimentary structure that can later be used to model the seismic records currently being obtained by the permanent accelerograph network operating in the area. This model builds on previous efforts and incorporates new data. The geometry and dynamic properties of the soil layers were inverted using data from microtremor array measurements, seismic refraction profiles, boreholes, and geotechnical investigations. Phase-velocity dispersion curves of Rayleigh waves were determined at 27 sites in the basin using the spatial autocorrelation method (SPAC) introduced by Aki [1]. S-wave velocity profiles were inverted from these dispersion curves and the whole valley structure was interpolated using our new results and all previously available data. The proposed 3D model describes the geometry and shear-wave velocities of the Mygdonian and pre-Mygdonian sedimentary systems, and the top bedrock surface. Our results indicate that this 3D model correctly reflects the geometry and dynamic properties of the sedimentary layers. The case of Euroseistest, where the subsoil structure is the result of bringing together many disparate data, could be used as an example for similar alluvial basins throughout the world, where usually only scarce data is available. 相似文献
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Patrick S. Debroux 《Geophysical Prospecting》1996,44(3):457-468
A publicly available and maintained electromagnetic finite-difference time domain (FDTD) code has been applied to the forward modelling of the response of 1D, 2D and 3D geophysical targets to a vertical magnetic dipole excitation. The FDTD method is used to analyse target responses in the 1 MHz to 100MHz range, where either conduction or displacement currents may have the controlling role. The response of the geophysical target to the excitation is presented as changes in the magnetic field ellipticity. The results of the FDTD code compare favourably with previously published integral equation solutions of the response of 1D targets, and FDTD models calculated with different finite-difference cell sizes are compared to find the effect of model discretization on the solution. The discretization errors, calculated as absolute error in ellipticity, are presented for the different ground geometry models considered, and are, for the most part, below 10% of the integral equation solutions. Finally, the FDTD code is used to calculate the magnetic ellipticity response of a 2D survey and a 3D sounding of complicated geophysical targets. The response of these 2D and 3D targets are too complicated to be verified with integral equation solutions, but show the proper low- and high-frequency responses. 相似文献
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可控源电磁法具有分辨率高及抗干扰能力强等特点,是一种重要的地电磁勘探方法.目前,可控源电磁法的高精度正演计算一直是其核心研究问题之一.传统积分方程法一般采用近似积分公式、简单矩形网格和近似的奇异性体积分计算技术,制约了体积分方程法处理复杂地下异常体的能力,降低了计算精度.针对上述问题,本文基于完全积分公式、四面体非结构化网格和奇异体积分的精确解析解来高精度求解复杂可控源电磁模型的正演响应.首先,从电场积分公式出发,推导了可控源电磁问题满足的积分方程;其次,借助于非结构化四面体网格离散技术,实现了地下复杂异常体的有效模拟.最后,利用散度定理把强奇异值体积分转换为一系列弱奇异性的面积分公式,并通过推导获得了这些弱奇异性的面积分公式的解析解,从而最终实现三维可控源电磁问题的高精度积分求解.以块状低阻体地电模型为测试模型,采用本文提出的积分方程方法获得的数值解与其他公开数值算法解进行对比分析,其对比结果具有高度的吻合性,验证了算法的正确性;同时,设计了球状及复杂地电模型进行算法收敛性测试,进一步验证算法的正确性以及能够处理地下复杂模型的能力. 相似文献
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Extending illumination using all multiples: application to 3D acquisition geometry analysis 
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下载免费PDF全文 Recent advances in survey design have led to conventional common‐midpoint‐based analysis being replaced by subsurface‐based seismic acquisition analysis, with emphasis on advanced techniques of illumination analysis. Among them is the so‐called focal beam method, which is a wave‐equation‐based seismic illumination analysis method. The objective of the focal beam method is to provide a quantitative insight into the combined influence of acquisition geometry, overburden structure, and migration operators on the resolution and angle‐dependent amplitude fidelity of the image. The method distinguishes between illumination and sensing capability of a particular acquisition geometry by computing the focal source beam and the focal detector beam, respectively. Sensing is related to the detection properties of a detector configuration, whereas illumination is related to the emission properties of a source configuration. The focal source beam analyses the incident wavefield at a specific subsurface grid point from all available sources, whereas the focal detector beam analyses the sensing wavefield reaching at the detector locations from the same subsurface grid point. In the past, this method could only address illumination by primary reflections. In this paper, we will extend the concept of the focal beam method to incorporate the illumination due to the surface and internal multiples. This in fact complies with the trend of including multiples in the imaging process. Multiple reflections can illuminate a target location from other angles compared with primary reflections, resulting in a higher resolution and an improved illumination. We demonstrate how an acquisition‐related footprint can be corrected using both the surface and the internal multiples. 相似文献
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Three-dimensional em modeling 总被引：1，自引：0，他引：1
Gerald W. Hohmann 《Surveys in Geophysics》1983,6(1-2):27-53
Three-dimensional (3D) interpretation of electromagnetic (EM) dsta is still in its infancy, due to a lack of practical numerical solutions for the forward problem. However, a number of algorithms for simulating the responses of simple 3D models have been developed over the last ten years, and they have provided important new insight. Integral equation methods have been more successful than differential equation methods, because they require calculating the electric field only in small anomalous regions, rather than throughout the earth. Utilizing a vector-scalar potential approach and incorporating symmetry through group theory improves the general 3D integral equation solution. Thin-sheet integral equation formulations have been particularly useful. Much recent research has focused on hybrid methods, which are finite element differential equation solutions within a mesh of limited extent, with boundary values determined by integrating over the interior fields. An elegant eigencurrent technique has been developed for calculating the transient response of a thin 3D sheet in free space, but general 3D time domain responses have only been calculated by Fourier transforming frequency domain results. Direct time domain calculations have been carried out only for 2D bodies. 相似文献
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Jun-Ichi Yano 《地球物理与天体物理流体动力学》2013,107(1-4):277-293
Abstract As an extension of a model by Busse (1983a), a two-layer model of thermal convection in the self-gravitating rotating spherical fluid is considered. The upper layer with arbitrary vertical distributions of density and potential temperature representing the atmospheric layer of major planets is imposed on the spherical Boussinesq fluid. The Prandtl number P and the ratio of the mass of the upper layer to that of the lower layer are used as small expansion parameters. The modification of the critical Rayleigh number by imposing the upper layer are clearly separated into two parts, proportional to (1) the mass of the upper layer and to (2) an integral representing a measure of convective instability of the upper layer. Some implications for atmospheric dynamics of the major planets are also presented. 相似文献
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P. Galvín S. François M. Schevenels E. Bongini G. Degrande G. Lombaert 《Soil Dynamics and Earthquake Engineering》2010
Ground vibrations induced by railway traffic at grade and in tunnels are often studied by means of two-and-half dimensional (2.5D) models that are based on a Fourier transform of the coordinate in the longitudinal direction of the track. In this paper, the need for 2.5D coupled finite element-boundary element models is demonstrated in two cases where the prediction of railway induced vibrations is considered. A recently proposed novel 2.5D methodology is used where the finite element method is combined with a boundary element method, based on a regularized boundary integral equation. In the formulation of the boundary integral equation, Green's functions of a layered elastic halfspace are used, so that no discretization of the free surface or the layer interfaces is required. In the first case, two alternative models for a ballasted track on an embankment are compared. In the first model, the ballast and the embankment are modelled as a continuum using 2.5D solid elements, whereas a simplified beam representation is adopted in the second model. The free field vibrations predicted by both models are compared to those measured during a passage of the TGVA at a site in Reugny (France). A very large difference is found for the free field response of both models that is due to the fact that the deformation of the cross section of the embankment is disregarded in the simplified representation. In the second case, the track and free field response due to a harmonic load in a tunnel embedded in a layered halfspace are considered. A simplified methodology based on the use of the full space Green's function in the tunnel–soil interaction problem is investigated. It is shown that the rigorous finite element-boundary element method is required when the distance between the tunnel and the free surface and the layer interfaces of the halfspace is small compared to the wavelength in the soil. 相似文献
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A boundary integral formulation is presented and applied to model the ground motion on alluvial valleys under incident P, S and Rayleigh waves. It is based on integral representations for the diffracted and the refracted elastic waves using single-layer boundary sources. This approach is called indirect BEM in the literature as the sources' strengths should be obtained as an intermediate step. Boundary conditions lead to a system of integral equations for boundary sources. A discretization scheme based on the numerical and analytical integration of exact Green's functions for displacements and tractions is used. Various examples are given for two-dimensional problems of diffraction of elastic waves by soft elastic inclusion models of alluvial deposits in an elastic half-space. Results are displayed in both frequency and time domains. These results show the significant influence of locally generated surface waves in seismic response and suggest approximations of practical interest. For shallow alluvial valleys the response and its resonant frequencies are controlled by a coupling mechanism that involves both the simple one-dimensional shear beam model and the propagation of surface waves. 相似文献
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An alternative technique to obtain the dynamic response of a massless rigid circular foundation resting on a uniform elastic half-space when subjected to harmonic plane waves is presented. The technique relies on the use of an integral representation involving the free-field ground motion and the contact tractions obtained in the course of calculating the dynamic force–displacement relationship of the foundation for external forces. Tables listing the translational and rotational components of the response of the foundation for non-vertically incident SH, P, SV and Rayleigh waves are presented. 相似文献