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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.
Based on the fractal properties of the sample functions of fractional Brownian motion and fractional Gauss noise, the logging sequence of No.57 Lunnan in Jilak region is analyzed. The velocity sequence and its reflection coefficient sequence are respectively 1.76 1.10 fractal, and their density are f0.52 and f-0.8. By using the fractal properties of fractional Brownian motion and fractional Gauss noise and the improved anti-phonetic registration method, the seismic trace signals of the Jilak region are analyzed. The reflection coefficient sequence of the CDP of each trace is obtained as (2-Hk) Partial fractional Gauss noise curve.