Stratified disordered media: exact solutions for transport parameters and their self-averaging properties
Stratified disordered media: exact solutions for transport parameters and their self-averaging properties
复制标题
分层无序介质：传输参数及其自平均特性的精确解
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
H. Kinzelbach
中科院分区：
文献类型：
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作者：
M. Clincy;H. Kinzelbach
本文研究了被动示踪剂在二维分层随机介质中的输运问题，其中流体与地层平行和垂直。假设高斯随机流具有高斯相关函数，不仅可以推导出表征示踪剂传输的弥散系数时间行为的精确表达式，而且还可以研究这些量的自平均特性。我们给出了明确的结果，作为时间的函数的色散系数和其均方波动。事实证明，编码在后一个量中的样本到样本的波动即使在无限次的渐近极限中也是有限的，这意味着给定的二维模型不是自平均的。
We investigate the transport of a passive tracer in a two-dimensional stratified random medium with flow parallel and perpendicular to the strata. Assuming a Gaussian random flow with a Gaussian correlation function, it is not only possible to derive exact expressions for the temporal behaviour of the dispersion coefficients characterizing the tracer transport, but also to investigate the self-averaging properties of these quantities. We give explicit results for the dispersion coefficient and its mean square fluctuations as a function of time. As it turns out, the sample-to-sample fluctuations which are encoded in the latter quantity remain finite even in the asymptotic limit of infinite times, which implies that the given two-dimensional model is not self-averaging.