2002
DOI: 10.1023/a:1015744421033
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Cited by 50 publications
(9 citation statements)
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“…Larger pore-scale dispersion smooths out details captured by hydrogeological site characterization for both large and small plumes. The role of a finite Péclet number in heterogeneous flows is to increase the rate of concentration variance destruction thus smoothing out the concentration field [Fiorotto and Caroni, 2002;Rubin, 2003;Caroni and Fiorotto, 2005]. This is observed in Figure 8 for a > 1.…”
Section: Resultsmentioning
confidence: 83%
“…Larger pore-scale dispersion smooths out details captured by hydrogeological site characterization for both large and small plumes. The role of a finite Péclet number in heterogeneous flows is to increase the rate of concentration variance destruction thus smoothing out the concentration field [Fiorotto and Caroni, 2002;Rubin, 2003;Caroni and Fiorotto, 2005]. This is observed in Figure 8 for a > 1.…”
Section: Resultsmentioning
confidence: 83%
“…We showed that the same mixing model is used for both the concentration variance evolution equation ( 7) and the concentration PDF evolution equation ( 4). This link was used to verify the new TIEM model (13) with the much simpler to handle variance equation. The verification was done by comparing an analytical solution of the variance equation (9), which depends on a mixing closure model, to two independent numerical models.…”
Section: Discussionmentioning
confidence: 99%
“…Such a distribution is short-tailed and therefore excludes the possibility of rare events. The first studies applying such a PDF framework to the transport in groundwater used a beta distribution, fully characterised by two parameters, to fit the concentration PDF in a non-Gaussian way [13]. But Srzic et al [14] concluded that beta-shaped PDF's only match the true PDF for low heterogeneities.…”
Section: Introductionmentioning
confidence: 99%
“…In view of these constraints, and other evidences emerging from the analysis of the evolution in time of the maximum concentration in the field scale tracer tests at Borden and Cape Cod, Fiori [2001] argued that the Beta distribution can be a good model for the concentration PDF. Numerical validation of this hypothesis has been provided in a few subsequent works [e.g., Fiorotto and Caroni, 2002;Tonina and Bellin, 2008]. A theoretical demonstration supporting the choice of the Beta distribution, based on a phenomenological equation resembling the conditions in which transport takes place in heterogeneous formations, has been proposed by Bellin and Tonina [2007].…”
Section: Concentration Probability Density Functionmentioning
confidence: 94%