ISSN:
1573-1634
Keywords:
averaging theorem
;
heterogeneity
;
macroscopic equation
;
microscopic equation
;
probabilistic average
;
REV
;
spatial average
;
spatial-temporal average
;
temporal average
;
transport equation
;
volume average
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Technology
Notes:
Abstract The spatial-temporal averaging procedure is considered with a nonhomogeneous distribution of elementary domains in the spatial-temporal space and the probabilistic interpretation of the ST-averaging is also given. Several averaging theorems and corollaries about the averages of spatial and temporal derivatives are presented and rigorously proved which allow elementary domain to vary in space and time. The macroscopic transport equation in the most general condition and the simplified macroscopic equation under the special form of distributions are developed which may be reduced to the classical macroscopic transport equation as the spatial-temporal average degenerates into the volume average.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00974310
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