三维空间中等效界面定理的初步验证

Verification of 3D Equivalent InterfaceTheorem

推导了两个倾斜平界面构成的三维展状介质空间中各个地面观测点的自激自收距离和各个界面的等效界面的计算公式。用三维快速射线追踪法计算了１２个地质模型在３０００ｍ炮检距范围内共中心点道集分别在各个界面和等效界面的旅行时间，结果表明两者很接近，初步验证了三维地下空间中的等效界面定理，为三维地震勘探资料数字处理提供了理论依据．

Formulations are derived, which are used to calculate zero -offset source -receiver distants as well as the equivalent interface for the second interface with two layer dipping plane interfaces in 3D. The travel times to the second interface and its equivalent interface are respectively calculated over common middle point gathers which offsets are smaller than 3000 meters for twelve geological models. The result shows that the difference between their travel times is very small. Therefore, 3D equivalent interface theorem is vertified initally and this theorem can be useful for 3D seismic data processing.