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《Chinese Journal of Geophysics》 1999-05
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HAMILTON METHOD IN DESCRIBING COMMONREFLECTION POINT TRAJECTORY

LIU HONG; LUO MING-QIU; LI YOU-MING; YANG KONG-QING(Institute of geophysics, Chinese Academy Of Sciences, Beijing 100101, China Department of physics, Lanzhou University Lanzhou 730000, China)  
In this paper, Hamilton method is introduced to study the characters of howseismic reflective traveltime of the same reflective point varies with the off offset, whichis important in prestack seismic processing. Since the traveltime is a function ofscarce location, receiver location, setoff angle and receiver angle of the seismic ray,the Hamilton canonical equation that describes the CRP trajectory in complex mediacan be proposed after analyzing the differential characters that common reflectiontravel bine varies with the source location. As an example, the Hamilton canonicalequation has been analytically derived for the traveltime function in the linearly variedvelocity media is analytical. The trajectories of the pointS on several typical reflectivesurfaces are calculated in three different earth model, which has consent velocity,transverse varied velocity or linearly varied velocity. Some characters of Hamiltonmethod can be deduced from the trajectories. It is the first bine for Hamilton methodis introduced tO describe the CRP trajectory, which gives a new way in this field.
【Fund】: 国家自然科学基金;大庆石油管理局资助
【CateGory Index】: P315.63
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