摘要
利用Von Karman型自相关函数建立了随机介质模型,对自相关长度、谱指数两个参量分别讨论了模型的特征,分析了不同扰动标准差下模型中速度的分布和变化情况。结果显示:改变自相关长度及横纵向谱指数,都可以产生横向和纵向上非均匀体尺度改变的随机介质模型;扰动标准差不同,得到的随机扰动的范围就不同,从而引起模型中速度围绕背景速度上下波动。从模拟结果图显示,随机介质模型能灵活地描述实际介质。
This paper constructed random media models using the Von Karman type autocorrelation function, discussed the model characteristics by two model parameters of autocorrelation length and spectrum exponent and analyzed the distribution and variation of velocities in the models under the conditions of different variances. The results show that the variations of random media models of heterogeneity scales in lateral and longitudinal directions are all produced by changing autocorrelation length and lateral and longitudinal spectrum exponent. The disturbance range of the random perturbation is different if the disturbance variance is different, and such a difference results in fluctuation of velocities in models around the background velocity. The modeling figures demonstrate that random medium models can vividly describe real media.
出处
《物探与化探》
CAS
CSCD
北大核心
2010年第1期98-102,共5页
Geophysical and Geochemical Exploration
基金
国家重点基础研究发展973计划课题(2009CB219505)
关键词
随机介质
Von
Karman型自相关函数
自相关长度
横纵向谱指数
random medium
Von Karman-type autocorrelation function
autocorrelation length
lateral and longitudinal spectrum exponent
