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    Forward modeling method of 2D transient electromagnetic field induced by line source
    线源二维瞬变电磁场的正演计算新方法
    For more complex near-surface conditions such as mountain areas, a new improved ray tracing method based on shortest path assumption is studied, it has higher accuracy and faster computing efficiency than conventional ones .
    而对于折射面起伏较大、低速层和折射层速度变化较大的复杂近地表情况,提出了一种改进的最短路径初至波射线追踪方法,该方法精度高,计算速度快,适用于任意二维复杂近地表介质(如山地)的初至折射波的正演计算
    The result of calculation using total potential and anormalous potential were compared and analysed.
    对有限单元总电位法和异常电位法的正演计算结果进行对比分析;
    In order to get high precision, the appropriate distance of boundary were determined compared result of FEM with exact solution and calculated large number of examples.
    经过大量的剖面计算试验,通过与解析解的对比分析,确定计算区域的边界距离以保证正演计算精度。
    Thequantic-boundary condition method made the 3-D resistivity modeling using FEM applied in practical.
    正演计算实例证明,齐次边界的正演模拟方法精度高,计算速度快,使基于有限单元法的三维地电断面的正演计算由理论研究走向实用化。
    Using the finite element method under the quantic-boundary condition, forward the apparent resistivity in complex condition, such as tunnel and below water.
    利用齐次边界条件下三维地电断面有限单元法数值模拟技术对坑道中、水下等复杂条件下的视电阻率法进行正演计算
    The calculation of the partial derivatives is important in modeling IP and inversion resistivity.
    在极化率正演计算和电阻率反演成像中,偏导数矩阵的计算是比较关键的问题。
    1. A program was developed to model 3D GPR responses using finite difference time domain method.
    1.利用时间域有限差分方法实现了探地雷达三维正演计算。 解决了目前探地雷达常见软件无法对模型介质加入干扰信号问题,为应用数值模拟技术开展介质不均匀性问题研究提供了有力工具。
    The main contents and achievements of the thesis are as follows:(1) The 2-D forward modeling formula of the resistivity and susceptibility as model parameters is deduced.
    (1) 推导了电阻率和磁化率同为参数时的二维大地电磁正演计算公式。
    By use of the finite difference method, which is based on transmission network proposed by Madden and Mackie, we completed forward calculation and demonstrated in detail the effect of resistivity and susceptibility on MT response. It is conformed that the susceptibility mainly affects the in-phase components of magnetic signal, but a little effect on the quadrature components of magnetic and electrical signal.
    利用Madden和Mackie等所提出的基于传输网络的有限差分算法,实现了其正演计算,并详细地阐述了电阻率和磁化率对大地电磁响应的影响,证实了磁化率主要是影响磁场信号的同相分量,而对磁场信号的异相分量和电场信号的影响比较弱。
    Firstly, in order to carry out thetarget, forward-modelling computations are realized for traveltimes of waves and NMO velocitiesin TI media. Then, by means of the genetic algorithm, inversion is performed for parameters ofanisotropy and interfaces.
    为实现这一目标,首先进行了TI介质中波的走时和NMO速度的正演计算,随后在正演工作基础上应用遗传算法完成了各向异性参数和界面参数的反演。
    The computational method ofeffective NMO velocities for multilayer TI media with dipping interfaces is given using thesolution to NMO-velocity surface, and the numerical computation is performed.
    同时给出了由NMO速度面解析解正演计算多层倾斜界面TI介质中的等效NMO速度及相应t_0时间的方法并进行了数值计算。
    The errors of NMO velocities determined by theactual survey data relative to NMO velocities computed by the analytic solution increase with theenlargement of the maximum offset.
    (3)由NMO速度面解析解可方便快速地正演计算等效NMO速度;
    g horizontal gradient nodule、? gz horizontalgradient module、? gzz in 3D models and their combined models ,based on the gravityanomalies characteristic value, the boundary locating errors have been statisticallyanalyzed, and finally the applied conditions about each method of boundary locatinghave been summarized.
    通过大量正演计算二维模型的Δg、Δgx、Δgzz、Δgzx理论曲线以及三维模型的Δg、Δg水平梯度模、Δgz水平梯度模、Δgzz,统计了各模型的异常特征点边界定位误差,给出了每种方法边界精确定位的应用前提。
    (3) The parallel algorithm is introduced into the forward modeling.
    (3)把并行算法引入到正演计算之中。
    With the increasing of transmiting current and reducing of the minimaldiscriminable voltage, the influence of geological interference becomes more evident, so it is very necessary to introduce feasible mathematical methods to direct and inverse calculation of TEM, such as ANN, GA.
    由于发送电流的加大和最小可测电压的提高,在加大了勘探深度的同时,地质噪声和各种效应的影响将更加明显,从而对解释软件也提出了更高的要求,传统的数据处理解释软件不能满足要求了,因此有必要引入成熟的数学方法:如神经网络等,增加一维、二维的解释精度与速度,并对于特殊三维体作正演计算
    At base of the theories analysis at the Rayleigh Wave and the work with people of the past, Rayleigh wave dispersion function in multi-layer medium is educed. And Knopoff fast algorithm is improved by normalized method and the method of thinning one layer. There, high frequency numeral overflowing, valid number losing, low upper limit frequency that existed in forward computing for Rayleigh Wave dispersion has been resolved, and it has increased the upper frequency to 800Hz.
    论文在瑞雷波理论分析和前人工作的基础上,推导了多层介质中瑞雷波的频散方程,并用归一化法和将某一层细分的方法对Knopoff快速算法进行了改进,解决了瑞雷波频散曲线正演计算中存在的高频范围数字溢出、有效数字损失、上限频率不高等不足,可使上限频率提高到800Hz;
    By forwardly calculating the theoretical models under the effluence of the distortion factors, the author draws some regular conclusions, which are conductive to study the impedance effluence from the distortion factors.
    通过对理论模型受畸变因子影响的正演计算,得出了一些有规律性的结论,对研究畸变因子对阻抗的影响有指导意义。
    That is, althought only one forward calculation is required in eachinversion iteration, however, it requires tens of inersion iterations and each iterationcrquries much hours, so the inversion is much more time-consuming.
    因为,尽管每次反演迭代仅需一次正演计算,但传统的最小构造反演通常需几十次迭代才能收敛,而电阻率三维反演每次迭代需时较长,反演依然耗时太多。
    Experiments on the models show thatRayleigh wave in multi-layered media occurs dispersive, and the dispersion curvescan be theoretically computed by Knopoff method quickly and efficiently.
    通过模型数据试验表明,层状介质瑞雷波存在频散现象,其频散曲线可通过Knopoff算法快速有效正演计算;
 

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