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随机介质非均匀地质体尺度研究(英文)
引用本文:李灿苹,刘学伟.随机介质非均匀地质体尺度研究(英文)[J].应用地球物理,2011,8(4):363-369.
作者姓名:李灿苹  刘学伟
作者单位:广东海洋大学海洋遥感与信息技术实验室;中国地质大学(北京)地球物理与信息技术学院
基金项目:sponsored by the 973 Program (No. 2009CB219505);the Talents Introduction Special Project of Guangdong Ocean University (No. 0812182)
摘    要:为了定量地反映复杂非均匀介质非均匀地质体的尺度大小,本文利用统计学方法建立了能够很好地描述复杂非均匀介质特征的随机介质模型,模型参量自相关长度描述了非均匀介质横向和纵向上非均匀体的平均尺度。基于所建立的随机介质模型通过速度的横向变化和速度标准差分别探讨了自相关长度与非均匀体尺度之间的关系。对速度横向变化的研究表明:随机介质内速度具有一定均值和方差并呈随机扰动特征;随着模型自相关长度的增大,非均匀体尺度也随之增大。通过速度标准差的研究得出自相关长度与非均匀体尺度之间关系的拟合公式,利用此公式可以定量地获取非均匀体尺度的实际大小。

关 键 词:随机介质  自相关长度  速度标准差  非均匀地质体尺度

Study on the scales of heterogeneous geologic bodies in random media
Can-Ping Li,Xue-Wei Liu.Study on the scales of heterogeneous geologic bodies in random media[J].Applied Geophysics,2011,8(4):363-369.
Authors:Can-Ping Li  Xue-Wei Liu
Institution:1. Laboratory of Ocean Remote Sensing and Information Technology, Guangdong Ocean University, Zhanjiang, 524088, Guangdong, China
2. School of Geophysics and Information Technology, China University of Geosciences (Beijing), Beijing, 100083, China
Abstract:In order to study the scale characteristics of heterogeneities in complex media, a random medium is constructed using a statistical method and by changing model parameters (autocorrelation lengths a and b), the scales of heterogeneous geologic bodies in the horizontal and the vertical Cartesian directions may be varied in the medium. The autocorrelation lengths a and b represent the mean scale of heterogeneous geologic bodies in the horizontal and vertical Cartesian directions in the random medium, respectively. Based on this model, the relationship between model autocorrelation lengths and heterogeneous geologic body scales is studied by horizontal velocity variation and standard deviation. The horizontal velocity variation research shows that velocities are in random perturbation. The heterogeneous geologic body scale increases with increasing autocorrelation length. The recursion equation for the relationship between autocorrelation lengths and heterogeneous geologic body scales is determined from the velocity standard deviation research and the actual heterogeneous geologic body scale magnitude can be estimated by the equation.
Keywords:random medium  autocorrelation length  velocity standard deviation  heterogeneous geologic body scale
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