Elastic-energy imaging condition based on energy-flow vector

基于成像能流矢量的弹性波能量成像条件

Elastic reverse-time migration can effectively deal with multicomponent seismic data in which the imaging condition based on energy norm can extract the scalar-imaging result from multicomponent data.However,the energy cross-correlation imaging condition characterized by particle velocity and stress suffers from the problem of overdependence on the background elastic parameters.Therefore,we characterize the elastic-wave energy using the energy-flow vector,which is equal to the energy density,without background elastic parameters.According to the source and receiver wave fields,we propose an imaging energyflow vector and an elastic-wave energy imaging condition.Under the assumption of a planewave solution,the backscattering suppression is verified.The numerical simulations show that the elastic-energy imaging condition can obtain the energy image without backscattering.Compared with the cross-correlation imaging conditions in a vector-based wave field,the proposed imaging condition can eliminate the dependence on the background elastic parameters and effectively process seabed multicomponent data,which are conducive to further providing an interpretation of marine geological structures.

弹性波逆时偏移方法可有效处理多分量地震数据,其中能量互相关成像条件可实现标量成像结果提取。但是,基于一阶弹性波方程的能量互相关成像条件存在背景速度依赖度高等问题。为此,本文基于能量密度与能流矢量间定量关系利用能流矢量实现无背景参数的弹性波场能量表征,结合震源端质点振动速度和检波端应力构建成像能流矢量和提出可以实现标量成像结果提取的弹性波能量成像条件。结合平面波解推导证明了弹性波能量成像条件的背向散射压制机理。数值实验表明,与矢量波场中标量成像条件相比,弹性波能量成像条件可以得到无背向散射的能量成像结果,且一定程度上可以降低背景速度依赖度,从而可有效处理海底多分量数据。