基于坡印亭矢量的声波方程叠前逆时偏移成像条件

Acoustic equation pre-stack reverse-time migration imaging condition based on Poynting vector

将电磁学中的坡印亭矢量引入到声波领域,得到了声波方程中坡印亭矢量的表达式。在常规互相关成像条件的基础上,提出了基于坡印亭矢量的互相关成像条件,利用地震波能量的传播方向来识别层间反射,并在波场互相关时对其进行衰减。为验证算法的有效性,分别应用常规互相关成像条件和基于坡印亭矢量的互相关成像条件对不同模型进行了试算。两种成像条件偏移结果对比表明,基于坡印亭矢量的互相关成像条件能够有效压制层间反射对偏移结果造成的干扰,得到更为精确的逆时偏移成像结果。

Poynting vector in the electromagnetism was introduced into acoustic area and hence the Poynting vector expression in acoustic equation.On the basis of classic cross-correlation imaging condition,cross-correlation imaging condition based on Poynting vector was concluded,interbed reflection was thus recognized according to the propagation direction of seismic wave energy and attenuated in the process of wave field cross-correlation.To verify the effectiveness of the algorithm,calculation based on different models applying classic cross-correlation imaging condition and the algorithm proposed were done.The comparison of the two kinds of migration results shows that cross-correlation imaging condition based on Poynting vector can suppress the interbed reflection effectively and thus a more accurate migration imaging result can be acquired.