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Hausdorff分数维识别地震道初至走时
引用本文:常旭,刘伊克.Hausdorff分数维识别地震道初至走时[J].地球物理学报,1998,41(6):826-832.
作者姓名:常旭  刘伊克
作者单位:中国科学院地球物理研究所,北京100101
基金项目:国家自然科学基金!1997年度资助(49674236)
摘    要:地震波初至走时的识别在地震勘探、人工地震层析成像以及全球地震层析成像方法研究中起重要作用.初至走时拾取的精度在很大的程度上影响地震层析成像及演的精度.本研究以提高地震波初至走时拾取的精度及定量化程度为目标,利用计算地震道时间序列分数维的方法,实现了地震波初至走时的自动拾取.本文以分形理论为基础,进行了地震道时间序列Hausdorff分数维的计算.计算结果表明地震道时间序列的分数维在初至到达前后具有不同的数值,其变化点能够定量指示出初至走时的位置.本文还给出了利用该方法对实测数据进行初至走时拾取的实例.

关 键 词:分形学  分数维  自仿射  地震道  初至走时  
收稿时间:1997-06-16

DISTINGUISHING SEISMIC FIRST BREAK BY MEANS OF HAUSDORFF FRACTAL DIMENSION
CHANG XU, LIU YI-KE.DISTINGUISHING SEISMIC FIRST BREAK BY MEANS OF HAUSDORFF FRACTAL DIMENSION[J].Chinese Journal of Geophysics,1998,41(6):826-832.
Authors:CHANG XU  LIU YI-KE
Institution:Institute of Geophysics, Chinese Academy of Sciences, Beijing 100101, China
Abstract:Distinguishing seismic first break is important in the research of seismic tomography. The accuracy of seismic tomography inversion is greatly influenced by the precision for picking up first break. This study is aimed at improvement of the precision and the degree of quantitative analysis for picking up first break. The method of calculating fractal dimension to a seismic trace is used to pick up first break automatically. In this paper, on the basis of fractal theory, Hausdorff fractal dimension is calculated along a seismic trace. The result shows that fractal dimension is different before and after first break.The variation of fractal dimension quanhttively indicates the position of the first break in seismic trace. In this paper, we also give some examples for picking up first break in field data.
Keywords:Fractal  Fractal dimension  Self-affine  Seismic trace  First break
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