%0 Journal Article
%T The migration of GPR three dimension wave equation in wavelets domain<br>探地雷达小波域三维波动方程偏移
%A FENG De-Shan
%A DAI Qian-Wei
%A <br>冯德山
%J 地球物理学报
%D 2008
%I 
%X This paper elaborated on the standard and nonstandard forms of matrix multi-resolution analysis theory in detail, and taking Hilbert operator as an example, explained the compression result of operator with multi-resolution form. It laid a good theoretical foundation for migration algorithm of wavelets domain. Then, setting out from the three-dimension radar wave equation, and making use of the bursting reflection theory and floating coordinate transform, we have deduced the finite difference format of GPR three-dimension wave equation. Through equation splitting and multi-resolution wavelets theory, and solving the extrapolate matrix of wave field in the wavelets domain, we have also got the migration algorithm of GPR three-dimension wave equation in wavelets domain. Based on this, the authors developed the migration program of GPR three-dimension wave equation, and applied this program to three-dimensional forward modeling result of three spheric caverns and practical GPR data. Through comparing the radar data before and after the migration processing, it is known that this three-dimension migration algorithm could make the reflection wave return to original position, and make the diffraction wave converge in the three-dimension sections. The lateral resolution of radar sections could be highly enhanced, and the migration algorithm could make the radar three-dimension detection more reliable and precise, which is propitious to the geology explanation of GPR data.
%K Ground penetrating radar
%K Wavelets domain
%K Wave equation
%K Migration<br>探地雷达
%K 小波域
%K 波动方程
%K 偏移
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=1E44AE713D8A6DE0&jid=14DC41C59CBF6770055A7D610D53AE46&aid=D1872FD139B1EACEDAD77BB211688B24&yid=67289AFF6305E306&vid=987EDA49D8A7A635&iid=0B39A22176CE99FB&sid=CDC418F38C4BFD60&eid=F6467E7C54ED952D&journal_id=0001-5733&journal_name=地球物理学报&referenced_num=10&reference_num=30