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关于测井序列和地震道的反射系数序列的分形性质(英文)
On fractal properties of reflection sequences from a well log and seismic trace
【摘要】 应用分式Brown运动和分式Gauss噪声之样本函数的分形性质,分析了吉拉克地区,轮南第57号测井序列,得到其速度序列及其反射系数序列分别是维数为1.76和1.10的分形,它们的措密度分别为f0.52和f-0.8.应用局部分式Brown运动和局部分式Gauss噪声的分形性质和改进了的反语积法,分析了吉拉克地区地震道信号,得到各地震道CDP之反射系数序列是维数为(2-Hk)的局部分式Gauss噪声曲线.
【Abstract】 In this paper, properties of sample function of fractional Brownian motion and Gaussian noise to analyzing the sequence from No. 57 well log in LenNan,JiLKa are applied.lts reflection trace and velocity trace are approximated by a fractal curve with fractal dimension 1. 76 and 1. 10 respectively,and their spectral density are approximate to f0.52 and f-0. 8 respectively. Fractal properties and other related properties of local fractional Brownian motion and Gaussian noise,geostatistical method and improved deconvolution to analyzing seismic signals in JILAKE. That sequence of reflection variation is a fractal curve of local fGn type with fractal dimension (2-Hk) for every seismic trace CDP k.
【Key words】 local fractional Brownian motion; fractional Gauss noise; fractal; seismic reflection;
- 【文献出处】 复旦学报(自然科学版) ,JOURNAL OF FUDAN UNIVERSITY , 编辑部邮箱 ,1997年06期
- 【分类号】P631
- 【被引频次】4
- 【下载频次】74