N层任意倾斜平界面三维射线追踪

3-D RAY TRACING FOR N PLANE-REFLECTORS WITH ARBITRARY INCLINATION

南海地调指挥部综合研究大队

任意倾斜平界面三维射线追踪,是地震勘探工作的正问题。它根据几何地震学的原理,按射线追踪的办法,对多层倾斜平界面作数学推导,可得出一套递推公式。它可求得射线所经过的路径,射线通过各界面的位置,波传播的时间,并从中求得平均速度、均方速度,以及地震子波经界面反射、透射和折射后振幅的变化。对导出的公式,经计算机实现射线追踪,并通过模仿野外地震勘探得出理论记录。该公式的导出,对开展三维地震勘探和地震勘探的深入研究具有一定的意义。

In seismic prospecting, the 3-D ray tracing for plane reflectors with arbitrary inclination is a forward problem. In accordance with the principle of geometric seismology, a series of recurrence formulae have been derived by ray tracing for the multi-inclination plane reflectors. Therefore, all raypaths travelled, the points of rays passing through the reflectors, the travel time, the average velocity, the RMS velocity and the amplitudes variation of the wavelets inflected, transmitted and refracted can thus be obtained. With the derived formulae, the ray tracing has been successfully implemented by computer and the synthetic seismograms have been obtained. Hopefully, the derivation of these formulae will be very helpful in conducting 3-D survey and in our research work of seismic prospecting in a deep going way.