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WAVE FIELD SIMULATION METHOD, APPARATUS AND DEVICE FOR EXPANDING EXPLICIT DIFFERENTIAL STABILITY CONDITIONS

机译:扩展显式微分稳定性条件的波场模拟方法,装置和装置

摘要

A wave field simulation method, apparatus and device for expanding explicit differential stability conditions. The method comprises: performing finite differential discretization on a first wave equation according to a set time step and wave field simulation model parameters (S110) to obtain a discrete second wave equation; performing time dispersion transformation on a first source function of the second wave equation (S120) to obtain a second source function; performing eigenvalue perturbation on a first growth matrix of the second wave equation (S130) to obtain a second growth matrix; substituting the second source function and the second growth matrix into the second wave equation to obtain a new stable wave field iteration formula (S140); using the new stable wave field iteration formula to perform wave field numerical simulation (S150) so as to obtain first wave field data; performing an inverse time dispersion transform operation on target wave field data that needs to be outputted in the first wave field data (S160) so as to obtain second wave field data having removed time dispersion.
机译:用于扩展显式微分稳定性条件的波场模拟方法,装置和装置。该方法包括:根据设置的时间步长和波场模拟模型参数对第一波动方程进行有限差分离散化(S110),以获得离散的第二波动方程;以及对第二波动方程的第一源函数进行时间色散变换(S120)以获得第二源函数;对第二波动方程的第一增长矩阵进行特征值摄动,得到第二增长矩阵;将第二源函数和第二增长矩阵代入第二波动方程,得到新的稳定波场迭代公式(S140);使用新的稳定波场迭代公式进行波场数值模拟(S150),以获得第一波场数据;对需要在第一波场数据中输出的目标波场数据进行逆时间色散变换操作(S160),从而获得去除了时间色散的第二波场数据。

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