应用B样条小波进行磁化率观测值的消噪

2004年 43卷 第No. 5期
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Noise elimination of observed susceptibility data using B-spline wavelet
(1. 中国石化石油勘探开发研究院无锡实验地质研究所,江苏无锡 214151;2. 长安大学,陕西西安710054)

( 1. Wuxi Research Institute of Experimental Geology, SINOPECWuxi, Jiangsu, 214151, China,2. Chang'an university, Xi'an, Shanxi,710054, China )

小波分析作为数学显微镜被广泛应用于各个学科,B样条函数因其独有的有限性和对称性被选作小波母函数。介绍了白噪声自身特点及其小波分析特性,认为利用B样条小波消除信号中的白噪声是有效的。为验证其效果,对野外磁化率观测资料,把采取B样条小波法和最小二乘曲线拟合法的消噪结果从去噪程度、计算速度、操作程序灵活性以及与实际油井和地质资料的对应情况等各个方面进行了对比。对比结果显示,经B样条小波消噪后的磁化率数据比最小二乘曲线拟合法的消噪结果能更好地反映真实的地质和油气藏信息。
Wavelet analysis, which is regarded as a mathematical microscope, has been widely used in many disciplines. Being of unique finitude and symmetry, B-spline function is used as wavelet basic function. Based on an analysis of white noise and its wavelet transform characteristics, this paper showed that B-spline wavelet could effectively eliminate the white noises in observed data. The effectiveness of B-spline wavelet noise elimination was compared with that of least square curve fitting on observed susceptibility data in terms of denoising degree, computation efficiency, flexibility of operation, and agreement with well and geologic data. B-spline wavelet noise elimination was superior to least square curve fitting in depicting geology and reservoir.
B样条小波; 白噪声; 消噪; 最小二乘曲线拟合; 磁化率;
B-spline wavelet; white noise; noise elimination; least-square curve fitting; susceptibility;