为了提高其效率，提出了一种高阶差分正演模拟方法。
A high order finite difference forward modelling method was proposed to improve its efficiency.
高阶差分加上合适的边界条件能较好地解决网格频散和边界效应问题。
When a suitable boundary condition is given, this method can solve the problems of the numerical dispersion and boundary effectiveness.
使用高阶差分状态序列，增强了系统因果强度，加强了抵抗身份欺骗和差分分析攻击的能力。
By using the high order differential state sequence, the casuality of the system and the capability of resistance to identity deception and differential attacks is enhanced.
根据胜利油田典型地质模型的构造特点，本文提出了变密度声波方程交错网格高阶差分正演方法。
According to structural feature of typical geologic models in Shengli oilfield, the paper presented staggering mesh high-order difference forward simulation of density-variated acoustic equation.
本文提出一种用于相位噪声测量的新型方差——变形高阶差分方差，其传递函数具有无旁瓣、谐波少等优点。
In this paper, a new variance used in the phase noise measurement, called deformed high difference variance, is presented.
理论分析表明，在构造与波速成像中采用高阶差分方法，可以减小频散误差、提高计算效率与计算精度、获得满意的效果。
It is theoretically shown that the application of high-order difference method in structure and velocity images decreases frequency dispersion error, but improves effect and accuracy of computation...
接着，简要介绍了基于声波高阶差分的多次波正演模拟方法，分析了这种方法的数值频散问题，包括时间和空间频散，同时给出了它的稳定性条件。
Then the article discusses forward modeling based on acoustic wave higher difference, then analyzes numerical dispersion including time and spatial dispersion and presents its stability conditions.
采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程，并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。
Here, we use second-order, temporal - and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-d elastic wave equations of motion.
采用时间上二阶、空间上高阶近似的交错网格高阶差分公式求解三维弹性波位移-应力方程，并在计算边界处应用基于傍轴近似法得到的三维弹性波方程吸收边界条件。
Here, we use second-order, temporal - and high-order spatial finite-difference formulations with a staggered grid for discretization of the 3-d elastic wave equations of motion.
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