地震波场的共偏移距延拓研究

实现地震波场共偏移距剖面上不同偏移距之间的转换，对于精确的共反射点叠加、速度分析以及研究ＡＶＯ信息等皆具有重要意义。本文从非均匀介质地震记录的微分性质出发，通过对其共反射点变化轨迹的研究，导出基于Ｈａｍｉｌｔｏｎ方程的地震波场共偏移距延拓方程，建立了新的共偏移距延拓算子，通过理论模型的计算验证了此方程的正确性。

BUILD ON EQUATION OF COMMON OFFSET CONTINUATION BASED ON THE HAMILTON EQUATION

Common offset continuation is an operator that transforms common offset seismicgathers from one constant offset to another. It is the basis of DMO theory, and DMOis the particular case of offset continuation (continuation to zero offset). Commonoffset continuation has significance for correct common reflection point stack, velocityanalysis and the research of AVO information. This paper provides a new method ofcommon offset continuation. Beginning with the study of the differential property ofseismic data, the CRP trajectory is discussed. Based on the Hamilton equation, a newcommon offset continuation equation is built. Result of synthetic data shows thecorrectness of this operator.