In order to meet the urgent demand of improving the resolution ratio of ground penetrating radar in practical application, this paper has introduced the fractal technology of the fBm model into the processing of the GPR data, and established the fBm model of the GPR. Adopting SRA method, we calculated the fractal section of GPR. The computational example shows that it is an extremely effective method for the extraction of high resolution information from GPR section, and its results are better than those from the routine processing method. In addition, we used this technology to tackle two engineering examples and attained fairly satisfactory result.
赵永辉, 吴健生, 万明浩. 应用分形技术提取探地雷达高分辨率信息[J]. 物探与化探, 2001, 25(1): 40-44.
ZHAO Yong-hui, WU Jian-sheng, WAN Ming-hao . THE APPLICATION OF THE FRACTAL TECHNIQUE TO THE EXTRACTION OF HIGH RESOLUTION INFORMATION FROM GROUND-PENETRARING RADAR DATA. Geophysical and Geochemical Exploration, 2001, 25(1): 40-44.
[1] MANDELBROT B B. The Fractal Geometry of Nature[M]. San Francisco, Freeman, 1982.
[2] 辛厚文.全国第三届分形理论及其应用学术会议文集[C].合肥:中国科技大学出版社, 1993.
[3] FISHER Y. Fractal image compression[M]. Theory and Application, Springer-Verlag, 1995.
[4] GILBERT L E. Are topographic data sets fractal- Pure & Appl[J]. Geophysics, 1989, 131(1).
[5] SCHOLZ C H, AVILES C A. The fractal geometry of falts and faults[A]. In:5th SYMP on Earthquake Source Mechanisms[A].1986, 147-156.
[6] 杨绍国, 何明星.地震剖面随机分形插值方法[J].物探化探计算技术, 1998, 20(3).