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概述波动方程α~P/αx~2+α~2P/αz~2=1/c~2 α~2P/αt~2 (1)是众所周知的二维纵波方程。式中:x,z为二维空间坐标;t为时间坐标;p(x,z,t)为波场函数;c(x,z)为介质速度。它描述了纵波传播过程中波场在时空坐标中的连续关系。近年来,在地震勘探资料的偏移处理技术中,利用水平迭加资料,采用波动方程的差分算法,去实现偏移归位。据认为,波动方程的差分算法实现地震资料偏移比其它方法如射线扫描偏移法等有其独特的优点。因此,这一技术越来越多地受到重视,越来越引起人们的广泛兴趣和大量的研究。
Overview The wave equation α ~ P / αx ~ 2 + α ~ 2P / αz ~ 2 = 1 / c ~ 2 α ~ 2P / αt ~ 2 (1) is a well-known two- Where x and z are the two-dimensional space coordinates; t is the time coordinate; p (x, z, t) is the wave field function; and c (x, z) is the medium velocity. It describes the continuous relationship of the wave field in space-time coordinates during the propagation of the P-wave. In recent years, seismic data offset processing techniques, the use of horizontal superimposed data, the use of wave equation difference algorithm to achieve the migration homing. It is considered that the differential algorithm of wave equation has its unique advantages of offsetting seismic data compared with other methods such as ray-scanning offset method. Therefore, more and more attention has been paid to this technique, arousing widespread interest and extensive research.