随机介质非均匀地质体尺度研究

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摘要为研究复杂介质非均匀地质体的尺度特征，本文利用统计学方法以及改变模型参量（自相关长度a和b）建立随机介质模型，介质中非均地质体的尺度在横向和纵向上可以改变。自相关长度a和b分别描述了随机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。速度横向变化的研究表明：随机介质内速度呈随机扰动特征；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，利用此公式可以估计出非均匀体尺度的实际大小。

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	李灿苹
	刘学伟

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

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.

Key words： random medium autocorrelation length velocity standard deviation heterogeneous geologic body scale

收稿日期: 2010-09-01;

基金资助:

国家重点基础研究发展973 计划课题(2009CB219505)和广东海洋大学人才引进专项基金（0812182）资助。

引用本文:

李灿苹,刘学伟. 随机介质非均匀地质体尺度研究[J]. 应用地球物理, 2011, 8(4): 363-369.

LI Can-苹,LIU Xue-Wei. Study on the scales of heterogeneous geologic bodies in random media[J]. APPLIED GEOPHYSICS, 2011, 8(4): 363-369.