摘要
应用小波伽略金方法,对Maxwell的2个旋度方程进行离散化,导出DB2-MRTD算法的探地雷达3D差分公式、数值稳定性条件。在此基础上,开发探地雷达MRTD法正演模拟程序。所开发的对三维立方体小空洞体模型进行正演模拟。研究结果表明:采用该程序极大地提高了运算速度,改善了三维探地雷达正演方法;相应的正演合成三维剖视图及切片图指示了立方体小空洞体的雷达波空间的三维响应特征;模拟结果表明,采用时域多分辨率法可提高探地雷达探测的可靠性、准确度。
The wavelet-Galerkin method was used to disperse two Maxwell rotation equations. The GPR three dimension （3D） finite difference formula and the numerical stability of DB2-MRTD algorithm were deduced. MRTD forward simulation program of GPR was developed which can raise the operational speed greatly and improve 3D GPR forward simulation method. This self-made program processes forward simulation to the 3D small cubical pocket model and gets its 3D fence diagram and slice map of forward simulation synthesize. Multi-resolution time domain method can be used to improve the credulity and accuracy of the GPR detection.
出处
《中南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2007年第5期975-980,共6页
Journal of Central South University:Science and Technology
基金
"十一五"国家科技支撑计划重点资助项目(2006BAC07B00-2)
湖南省科技计划资助项目(2007FJ4055)
关键词
探地雷达
时域多分辨法
三维正演模拟
DB2小波基
ground penetrating radar
multi-resolution time domain method
three dimensions forward simulation
DB2 wavelets basis
