Kirchhoff偏移法在探地雷达正演图像处理中的应用

The application of Kirchhoff′s migration method in the image processing of the ground penetrating radar forward simulate

本文首先通过对波动方程的分析,得出了声波波动方程和雷达波波动方程形式一致性,从而说明了把广泛应用在地震数据处理中的偏移技术引入到GPR资料处理中的可行性;其后说明了时域有限差分法(FDTD)的原理,并用它合成了几种常见的雷达正演剖面;最后利用Kirchhoff积分偏移法对正演所得的雷达剖面进行偏移处理,通过对比偏移处理前后的雷达正演剖面,可知Kirchhoff积分偏移法能使雷达正演剖面中的反射波的归位,绕射波收敛,从而大大地提高了雷达正演剖面的分辨率,更好地指导GPR剖面的地质解释和验证偏移方法的有效性.

Firstly, this article analysis the wave equation, and gets the format consistency of the sound wave equation and the radar wave equation. According to this, it illustrates the feasibility of inducting the migration technique commonly used in the seismic data processing into the GPR data processing. Secondly, this article explains the principles of FDTD, and synthesizes some radar forward simulate sections with it. At last, this article utilizes Kirchhoff＇s method of integration migration to do the data processing to the radar section coming from the forward simulate. By comparing the radar forward simulate sections before and after the migration process, it is showed that Kirchhoff＇s method of integration migration could make the reflection wave return to original position, the diffraction wave convergent. So that, the resolution of radar forward simulate sections could be enhanced highly, and it could instruct the geology explanation of GPR section and validate the validity of migration method better.