Analysis of the anomalous scale-dependent behavior of dispersivity using straightforward analytical equations: Flow variance vs. dispersion Page: 6 of 34
This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided to Digital Library by the UNT Libraries Government Documents Department.
The following text was automatically extracted from the image on this page using optical character recognition software:
nature of flow between various locations. As a result, a few alternate
modeling approaches have been developed. These include several complex
stochastic transport models [Gelhar, 1986; Mantoglou and Gelhar, 1987; Yeh
et al., 1985; Duffy and Gelhar, 1986; Gutjahr and Gelhar, 1981; Simmons,
19821, and straightforward descriptions of statistically stratified flow
fields [Matheron and de Marsily, 1980; Dagan, 1984; Jury, 1982; Jury et al.,
1986.1 To date, however, the relationship between the alternate methods and
the classical advection dispersion approach has not been addressed in a
definitive manner. The development of a straightforward alternate modeling
approach, along with a comparison of the approach to classical methods, is
To meet the general objective described above, two analytical solutions
describing solute transport were developed for the same boundary and initial
conditions. One of these is based on the advection and dispersion equation,
while the other is based on a heterogeneous media providing a distribution of
flow paths between two locations--a flow variance approach. Note that the
flow variance approach assumes that all of the spreading of a solute is due
to the heterogeneity in available flow paths, and the solution is based on
the transfer function similar to Jury and co-workers [Jury, 1982; Jury et al.,
1986]; no diffusion or dispersion is assumed. The calculated concentrations
at any time at various locations show that the two approaches are almost
identical at a reference location; however, they diverge significantly at
Based on the two equations, a mathematical relationship between the
assumed variance of the flow velocity distribution and dispersivity was
derived. Variances were then calculated from the well documented data set
Here’s what’s next.
This report can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Report.
Looney, B. B. & Scott, M. T. Analysis of the anomalous scale-dependent behavior of dispersivity using straightforward analytical equations: Flow variance vs. dispersion, report, Spring 1988; Aiken, South Carolina. (https://digital.library.unt.edu/ark:/67531/metadc684121/m1/6/: accessed May 22, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.