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外推过程
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  “外推过程”译为未确定词的双语例句
     It should be pointed out that the discrete method in time domain is identical between the precise computation of the matrix exponential and the extrapolation, so that the combination of them would not increase the computation time.
     需要指出的是,由于考虑了矩阵指数精细算法和外推法算法在时间离散方法上的一致性,在外推过程中,计算工作量基本没有增加;
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     Crank-Nicolson scheme is used in secondorder difference so that both the high accuracy and the stability of wave field extrapolation can be ensured.
     对于二阶差分,采用了Crank-Nicolson差分格式,这不仅保证较高的计算精度,而且保证在波场外推过程中的稳定性。
短句来源
     Seismic data can be used to help predict lateral lithologic variations, Because of the ambiguity and uncertainty of the seismic velocity information, Monte Carlo technique is used for numerically stochastic simulation of the spatial distribution of lithology in integrating log data and sesimic data, thus providing various lithologic images of the reservoir.
     考虑了测井纵向分辨率高但横向分辨率低的特点,利用地震资料作为测井岩性外推过程的约束,对地下岩性进行描述。 利用地震资料时,该方法考虑了地震信息的不确定性和模糊性,将地下岩性分布看作随机场的一个特定实现,利用MonteCarlo法对井孔以外的岩性进行横向模拟,能够给出储层岩性多种可能的图象。
短句来源
     We adopt two kinds of different mesh refinement process combining extrapolation of difference solution for more accurately solving tokamak plasma equilibrium equation.
     利用两种不同的网格精细化方法与差分方程解的外推过程相结合,能更精确地求解等离子体平衡方程。
短句来源
     Aimed at instability of calculation formula for scattered wavefield in a medium with strong lateral velocity variation proposed by Huang's article "Expanded local Born Fourier migration method", the paper presented a new Born approximate calculation formula for scattered wavefield, applied the formula to recursive extrapolated processing of wavefield and then obtained a stable Born approximation pre-stack depth migration method.
     本文针对 Huang L J等 (1999)在“扩展的局部 Born Fourier偏移方法”一文中提出的散射波场计算公式对于强横向变速介质的不稳定性 ,提出了一种新的 Born近似散射场计算公式 ,并把该公式应用于波场递归外推过程中 ,进而得到一种稳定的 Born近似叠前深度偏移方法。
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  相似匹配句对
     SUCCESSIVE ACCELERATION PROCESS OF THE GENERAL EXTRAPOLATION ALGORITHM
     一般外推算法的连续加速过程
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     PROCESS-CONTROLLER
     过程控制机
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     Value of Process
     过程的意义
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     Predicting Water Content of Drying Process Using Neural Network Model
     利用神经网络外推预测干燥过程降水率
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By Fourier transform, scalar wave equation, can be transformed into single square root equation, which is a basic equation for post-stack migration. The radical expression in the equation may be approximated in different ways; consequently, there are different migration methods. The finite difference depth migration equation in space-frequency domain can be derived when the radical expression is approximated by continued fraction. In practice, this equation is solved by split- ting into two ones (called thin...

By Fourier transform, scalar wave equation, can be transformed into single square root equation, which is a basic equation for post-stack migration. The radical expression in the equation may be approximated in different ways; consequently, there are different migration methods. The finite difference depth migration equation in space-frequency domain can be derived when the radical expression is approximated by continued fraction. In practice, this equation is solved by split- ting into two ones (called thin lens and diffraction term equations), which are solved alternately. Crank-Nicolson scheme is used in secondorder difference so that both the high accuracy and the stability of wave field extrapolation can be ensured. Furthermore, "one sixth knack" of approximation is taken for higher accuracy. In summary, this migration process is composed of the following steps: first, by Fourier transform, a seismic section is transformed from time domain to frequency domain; then, for each frequency, the wave field is extrapolated from known depth Z to unknown depth Z+△Z by making use of the thin lens term equation and the diffraction term equation; finally, the component extrapolated results for all frequencies are summed up to form a resultant migration result at depth Z+△Z. summation process is also migration image process. Two theoretical models illustrated in the paper all bring good migration result.

从标量波动方程出发,利用傅里叶变换,可导出单均方根方程(single radical equation),它是叠后偏移的基础方程。此方程中的根式可采用不同的近似方法,因而有不同的偏移方法。采用连分式近似,可以得到空间频率域的有限差分深度偏移方程。在具体实现时应用分裂算法,即分裂成薄透镜项及绕射项,然后进行差分运算。对于二阶差分,采用了Crank-Nicolson差分格式,这不仅保证较高的计算精度,而且保证在波场外推过程中的稳定性。为了得到更高的计算精度,还采用了一种叫做1/6的近似技巧。上述的这种偏移方法过程可以归结为:首先对地震剖面作傅里叶变换,由时间域转换到频率域,然后对每一固定频率,利用薄透镜项和绕射项偏移方程进行外推,即把已知深度Z的波场外推到未知深度Z+ΔZ的波场,最后把Z+ΔZ处所有频率成分外推的结果累加求和,得到最终的偏移结果。累加的过程,即是偏移成像的过程。文中给出两个理论模型的例子,都能得到较好的偏移结果。

hough vertical resolution of log data is higher, lateral lithologic variations can not be predicted accurately from them in areas of sparse wells. Seismic data can be used to help predict lateral lithologic variations, Because of the ambiguity and uncertainty of the seismic velocity information, Monte Carlo technique is used for numerically stochastic simulation of the spatial distribution of lithology in integrating log data and sesimic data, thus providing various lithologic images of the reservoir.

申时新等:综合测井和地震资料描述岩性的蒙特卡洛法,测井技术,1996(4)20,268~270。考虑了测井纵向分辨率高但横向分辨率低的特点,利用地震资料作为测井岩性外推过程的约束,对地下岩性进行描述。利用地震资料时,该方法考虑了地震信息的不确定性和模糊性,将地下岩性分布看作随机场的一个特定实现,利用MonteCarlo法对井孔以外的岩性进行横向模拟,能够给出储层岩性多种可能的图象。

Advanced tokamak configurations are very important for achieving magnetic confinement control of nuclear fusion. However, in some case accurate computation of the configuration poses a formidable challenge. Such as there is a change of physical variable with gradient in local domain or with great difference of the order of its magnitude in the domain, in order to guarantee numerical convergence for solving plasma equilibrium equation, two trouble issues arise as the following: (1) Required computer memories...

Advanced tokamak configurations are very important for achieving magnetic confinement control of nuclear fusion. However, in some case accurate computation of the configuration poses a formidable challenge. Such as there is a change of physical variable with gradient in local domain or with great difference of the order of its magnitude in the domain, in order to guarantee numerical convergence for solving plasma equilibrium equation, two trouble issues arise as the following: (1) Required computer memories increase so rapid as to restrict computation to some physical mode. (2) The order of matrix for solving algebraic equations increases so greatly that the accumulated round off errors can swamp the true solutions. We adopt two kinds of different mesh refinement process combining extrapolation of difference solution for more accurately solving tokamak plasma equilibrium equation. The numerical test and theoretical analysis show that the methods are robust.

先进的托卡马克位形对于实现磁约束受控聚变是至关重要的。但对某些情况,精确计算位形是十分困难的。如当物理量在局部区域内有很大的变化,或在区域内解的数值大小有大的数量级上的改变,为保证数值求解平衡方程的收敛性,有两个困难随之产生了:(1)所需的计算机内存极大地增加,以致有的物理模式的计算受到计算机内存的限制。(2)求解代数方程阶次的迅速增长,可能使舍入误差的积累造成对真解的扭曲。利用两种不同的网格精细化方法与差分方程解的外推过程相结合,能更精确地求解等离子体平衡方程。理论分析和数值实验都说明方法是有效的。

 
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