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    This algorithmhas the advantages of both these methods, results in quite high computation accura-cy and efficiency, and applies to the forward computation of elastic wave field.
    该方法结合了有限元法和虚谱法的优点,具有较高的精度和计算效率,适用于弹性波场的正演计算
    The variable density multilayered crustal model is put forward according to the idea of model decompose in this paper, and the corresponding gravity forward formula is deduced.
    根据模型分解的思想,采用变密度多层地壳密度模型,据此推导了相应的重力异常正演计算公式。
    Basic principle and algorithm of crosshole resistivity image by using 2 5-D finite element method are briefly introduced through two examples of engineering investigation. The effectiveness of the technique is verified by the results of image.
    本文用2.5维有限元法作正演计算,简要介绍了井间电阻率成象的基本原理和计算方法,通过两个工程勘察实例,其结果证明了该方法的有效性。
    The distribution law of DC field in layered surrounding rocks of roadway is a theoretical foundation of DC electric methods. By choosing the full space electric potential function in layered media as the basic solution, we have derived the boundary integral equations of DC electric field in layered surrounding rocks of roadway, which provide a theory as well as methods for simulating underground DC electric field by boundary element method (BEM).
    巷道层状围岩介质中稳恒电流场分布规律是矿井直流电法勘探的理论基础.选取无巷道层状介质模型全空间电位函数为基本解,导出了巷道层状围岩介质中电流场的边界积分方程,为采用边界元法正演计算井下稳恒电流场场分量提供了理论和方法.
    In each iteration of DBIM, an efficient numerical mode matching(NMM) method is used to solve the forward problem.
    在每次迭代过程中,采用了高效数值模式匹配的正演计算方法;
    Based on the geological model of coalbed splitting,merging and sedimentary gap,the forward computational model is established.
    根据煤层分叉、合并及沉缺等地质模型,建立正演计算模型;
    Then, authors deduce Rodi algorithm for estimating G, and give the expansions of Gx and G'y in ESCAN 3-D data inversion. It is found from minute analysis that Gx and GTy can be deduced simultaneously in once forward operation to achieve single forward operation for each inverse iteration, thus speeding up operation greatly- In addition, sensitivity matrix is analysed;
    在此基础上,本文引入求取G的Rodi算法,导出了E-SCAN三维数据反演中Gx及GTy的拓展形式,只需作一次正演便可同时求得Gx及GTy,实现了每次反演迭代仅需作一次正演计算,从而大大地提高了运算速度。
    The forward calculation equations are derived for MT in the EDA type anisotropy media, and numerical simulation of apparent resistivity consists of several models with different frequency and observations is presented.
    推导了EDA型层状各向异性介质大地电磁测深正演计算公式 ,对多种模型从不同的频率、测量方向计算了地表视电阻率曲线。
    Its basic idea is that the model space is quantified into finite model sets, then select a most prospective model according to a certain searching tactics to perform forward computation, compare the forward results with the observed data and compute the objective function; if the function value is less than a given value, then the model is the inversion result, and if not, continue searching, forward com-putation and comparing repeatedly until a satisfactory solution estimate is found.
    其基本思想是把模型空间量化成有限模型集,而后按一定的搜索策略选择一个最有希望的模型进行正演计算,再把正演结果与观测数据比较并计算目标函数,如果目标函数小于给定值,则此时的模型即为反演结果,否则继续搜索、正演、比较,不断重复此过程,直到找到一个满意的解估计。
    First, we linearize theforward formula of computing reflectivity in time domain to obtain the sensitivity matrix of inversion,then compute the eigenvalue and eigenvoctor of the matrix, and finally analyze the sensit1vity of petro-physical parameter inversion.
    考虑的岩性参数是介质两侧速度及密度比,在时间域内对反射系数的正演计算公式进行线性化,获取反演的灵敏度矩阵,然后计算该矩阵的特征值及特征向量,继而分析岩性参数反演的敏感性。
    Firstly, the minimum structure inverse equations are solved. In doing so, the CG relaxation technique only requires the results of derivative matrix G and its transpose G~T multipled by a vectors, i.e. Gx and G~Ty, respectively. Then the Rodi method is introduced to compute, and the Jcobian matrix G, Gx and G~Ty can be got after one forward calculation in each inverse iteration.
    首先,运用共轭梯度迭代算法解反问题的线性方程组,只需求Jacobian矩阵G与任一向量x的 乘积Gx及G~T与任何一向量y的乘积G~Ty,再引入G的Rodi算法,则Gx及G~Ty均可在每次反 演迭代中的一次正演计算后一并求得.因此,每次反演迭代仅需一次正演计算,大大加快了 计算速度;
    Elastic parameters involved in the paper are the relative perturbation of velocity and density. In time domain, the forward estimation formula of reflection coefficient is linearized to have inversive sensitivity matrix, whose eigenvalue and eigenvector can be obtained by using SVD. The information volume of elastic parameters are analysed finally.
    文中考虑的弹性参数是速度及密度的相对扰动量,在时间域内对反射系数的正演计算公式进行线性化,获取反演的灵敏度矩阵,并利用SVD计算反演灵敏度矩阵的特征值及特征向量,继而分析弹性参数反演的信息量。
    In the paper, authors explain the basic principle of the algorithm, and design a practical program for MT 2 D forward computation.
    文中首先简要阐明了 DIFE的基本原理 ,并以此为基础编制了 MT二维正演计算的通用程序。
    While conjugate gradient(CG) relaxation technique is used to solve the inverse equations and Rodi method is introduced to compute the Jacobi matrix G,only one forward calculation is required in each inversion iteration,thus the 3-D resistivity inversion is computed much quickly.
    运用共轭梯度迭代算法解三维反问题中的线性方程组 ,并结合求 Jacobi矩阵 G的 Rodi算法 ,则每次反演迭代仅需一次正演计算 ,大大加快了计算速度 ,实现了直流电阻率三维快速反演。
    The forward calculation results showed that the theory of model in random media has advantages of strong adaptability,easy and flexible use and effectively modeling the detail of reservoir. It's a important direction in reservoir geophysics that is worth further studying with an effort.
    正演计算结果表明 ,随机介质模型理论具有适应性强 ,使用方便、灵活 ,能有效地模拟油气藏细节的优点 ,是油藏 (或油储 )地球物理中值得进一步深入研究的课题 ,也是重要的发展方向
    The echelon unit with two vertical sides is given and the units in same layer are combined to a big unit in gravity forward calculation, so the precision and velocity for forward calculation are improved much more.
    研究中还把重力正演计算的单元体改为垂直侧边梯形单元 ,并合并同一层位的垂直侧边梯形单元成为一大单元再作计算 ,加快了正反演计算速度并提高了正反演精度。
    The paper simulates the middle-short wavelength geoid anomaly in China and its adjacent regions by using the results of tectonics and distribution of density, detected by of tomography, seismic sounding and telluric electromagnetic sounding method.
    利用中国及邻区地形、地震层析成像、沉积层底面、Moho面及岩石层底面资料 ,正演计算出中国及邻区岩石圈大地水准面异常 ;
    The Direct Iterative Finite Element algorithm (DIFE) is used to calculate the electromagnetic responses at earth surface excited by a line current source.
    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 .
    Through comparison of real apparent resistivity curve with theoretic apparent resistivity curve by 1-D forward computation, the method modified in turn the resistivity and the thickness for each conducting layer.
    “正演修正法”通过比较实测的视电阻率曲线和一维正演计算的理论视电阻率曲线,依次修正每一个电性层的电阻率和厚度。
    The forward modeling is implemented by finite element method.
    模型响应的正演计算用有限元方法实现。
 

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