电磁波拟地震波波动方程理论及正演模拟

本文根据波动理论,论证了电磁波与地震波的统一性。基于非周期信号与周期信号数学上的变换关系,从电磁场理论出发,用映射和变换技术,将扩散电磁场变换成满足声波波动方程的波场,电磁场问题便可化为类似于地震波场问题,而扩散场实质上是波动场的叠加。文中还以变换得到的电磁波波动方程为基础,用有限元法正演模拟了二维电阻率分布响应(即电磁波场视剖面),表明电磁偏移可以类比地震偏移技术,从而证实电磁波拟地震波波动方程理论的正确性。

Electromagnetic wave theory analogous to seismic wave theory and its forward modeling.

The interrelation between electromagnetic wave and seismic wave is demonstrated on the basis of wave theory. By using mathematic interconversion relation between nonperiodic signal and periodic signal,electromagnetic field theory,as well as mapping and transform techniques, we convert a diffusive electromagnetic field into the wave field that satisfies acoustic wave equations, so that electromagnetic wave field problem is changed into a pseudo seismic wave field problem. It is also testified that a diffusive field is essentially the sum of wave fields. The electromagnetic wave equation derived from the conversion is used to model 2D resistivity distribution responses (namely.the pseudo section of electromagnetic field) by finite element method,which means electromagnetic data migration can be simulated into seismic data migration. The electromagnetic wave equation analogous to seismic wave equation is proved to be feasible.