Averaging Theory for Description of Environmental Problems: What Have We Learned?
Averaging Theory for Description of Environmental Problems: What Have We Learned?
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DOI：
10.1016/j.advwatres.2011.12.005
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发表时间：
2013-01-01
影响因子：
4.7
通讯作者：
Schrefler, Bernhard A.
中科院分区：
文献类型：
--
作者：
Gray, William G.;Miller, Cass T.;Schrefler, Bernhard A.
水资源的进展一直是一个主要的档案来源，实施平均理论在改变规模的过程中的重要性，在环境建模的描述。因此，为了庆祝这本杂志的第35个年头，似乎应该评估一下我们对这些理论的了解，以及它们在描述感兴趣的系统时的效用。我们回顾的理解和使用的平均理论来描述多孔介质的流动和运输在宏观尺度上的进展，平均尺度模型的空间变异性，并在megascale，一个积分尺度，只考虑系统属性的时间变化。我们详细的物理见解，从平均理论的发展和应用中获得的流动通过多孔介质系统和固体在宏观尺度上的行为。我们展示了通常应用的标准模型和使用现代平均理论推导出的更严格的模型之间的关系。我们讨论了如何从平均理论，可以建立在社区内广泛应用的结果。我们强调理论家、数值分析师和实验学家之间存在合作的机会和需求，以推进已推导出的新模型类别。最后，我们评论平均发展的河流，河口和流域。
Advances in Water Resources has been a prime archival source for implementation of averaging theories in changing the scale at which processes of importance in environmental modeling are described. Thus in celebration of the 35th year of this journal, it seems appropriate to assess what has been learned about these theories and about their utility in describing systems of interest. We review advances in understanding and use of averaging theories to describe porous medium flow and transport at the macroscale, an averaged scale that models spatial variability, and at the megascale, an integral scale that only considers time variation of system properties. We detail physical insights gained from the development and application of averaging theory for flow through porous medium systems and for the behavior of solids at the macroscale. We show the relationship between standard models that are typically applied and more rigorous models that are derived using modern averaging theory. We discuss how the results derived from averaging theory that are available can be built upon and applied broadly within the community. We highlight opportunities and needs that exist for collaborations among theorists, numerical analysts, and experimentalists to advance the new classes of models that have been derived. Lastly, we comment on averaging developments for rivers, estuaries, and watersheds.
影响因子：
5.4
作者：
Ahrenholz, B.;Niessner, J.;Krafczyk, M.
通讯作者：
Krafczyk, M.
影响因子：
6.6
作者：
ALTS, T;HUTTER, K
通讯作者：
HUTTER, K
DOI：
10.1021/i160024a007
发表时间：
1967-01-01
期刊：
INDUSTRIAL & ENGINEERING CHEMISTRY FUNDAMENTALS
影响因子：
--
作者：
ANDERSON, TB;JACKSON, R
通讯作者：
JACKSON, R