探地雷达各向异性介质有限差分偏移线性变换

将地震偏移技术中的线性变换差分偏移应用于探地雷达的数据偏移,在讨论各向同性介质线性变换差分偏移算法的基础上,研究各向异性介质偏移归位情况来解决该算法对速度的高敏感性问题,编写探地雷达线性变换差分偏移算法的Matlat程序:通过对线性变换差分方程推导,得到一系列三对角线性方程组:在求解这些特殊方程组过程中,通过调用Matlat程序中定义的Pursue函数来循环求解这一系列大型的三对角线性方程组,并将计算结果进行储存供后续迭代使用,最后将满足终止条件的偏移成像矩阵输出并可视化,运用该算法分别对各向异性的正演雷达数据和实测雷达数据进行处理.研究结果表明:该算法在对各向异性介质中存在多次反射质点和主要反射层的地质问题进行偏移归位时具有明显优势.

Linear transformation of finite difference migration of GPR in anisotropic medium

The linear transformation of finite difference migration method in reflection seismology was applied to improve the GPR(ground penetrating radar) migration technology.Based on the fact that the migration effect is highly sensitive to the medium velocity in isotropic condition,the anisotropic case was extended when the theory of the traditional finite difference migration was established.In order to solve the velocity restrictions of the traditional algorithm,the detailed migration process was presented as well as a part of numerical calculation process using Matlab.Through solving circular tri-diagonal equation systems,the entire solve process was implemented by the functions of Pursue,which is defined in the Matlat program,and then this results were compared to those of the traditional migration.The results indicate that the improved migration algorithm of GPR data migration processing technology is more flexible to solve multiple reflection particles and a main reflector layers when dealing with anisotropic geological medium.