关于测井序列和地震道的反射系数序列的分形性质(英文)
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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．
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.
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.
引文
1 Feder J. Fractals. New York: Plenum Press, 1988
2 Flandrin P. On the spectrum of fractional Brown motions. IEEE Transaction on Information Theory, 1989,35(1): 197～199
3 Hewett TA. Fractal distributions of reservoir heterogeneity and their influence on fluid transport.SPE 15386: Chevron oil field research Co, 1986
4 Hurst HE. Long term storage capacity of reservoirs. Transactions of the ASCE, 1951, 116: 770～808
5 Mandelbort BB, van Ness JW. Fractional Brownian motions, fractional noises, and application.SIAM Rev, 1968, 10(4):422～437
6 Mandelbrot BB. Limit theorem on the self-normalid range for weakly and strongly dependent processes. Z W Verw Gebiets, 1975, 31: 271～285
7 Todoeschuck JP, Jensen OG. Scaling geology and seismic deconvolution. PAGEOPH, 1989, 131:1～2
8 Ren Fuyao, Zhao Xingqiu. Local fractional Brownian motions, local fractional noises,and application. Journal of Fudan University (Natural Science), 1996,35(4): 361～373
2 Flandrin P. On the spectrum of fractional Brown motions. IEEE Transaction on Information Theory, 1989,35(1): 197～199
3 Hewett TA. Fractal distributions of reservoir heterogeneity and their influence on fluid transport.SPE 15386: Chevron oil field research Co, 1986
4 Hurst HE. Long term storage capacity of reservoirs. Transactions of the ASCE, 1951, 116: 770～808
5 Mandelbort BB, van Ness JW. Fractional Brownian motions, fractional noises, and application.SIAM Rev, 1968, 10(4):422～437
6 Mandelbrot BB. Limit theorem on the self-normalid range for weakly and strongly dependent processes. Z W Verw Gebiets, 1975, 31: 271～285
7 Todoeschuck JP, Jensen OG. Scaling geology and seismic deconvolution. PAGEOPH, 1989, 131:1～2
8 Ren Fuyao, Zhao Xingqiu. Local fractional Brownian motions, local fractional noises,and application. Journal of Fudan University (Natural Science), 1996,35(4): 361～373
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