Tailing of the breakthrough curve in aquifer contaminant transport: Equivalent longitudinal macrodispersivity and occurrence of anomalous transport

A. Fiori, G. Dagan, V. Cvetkovic, I. Jankovic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We analyse the mass arrival (breakthrough curve) at control planes at × of a plume of conservative solute injected at time t = 0 in the plane × = 0. The formation is of random three-dimensional stationary and isotropic conductivity K, characterized by the univariate normal distribution f(Y), Y = lnK, and the integral scale I. The flow is uniform in the mean, of velocity U, and longitudinal transport is quantified by f(z,x), the probability density function (pdf) of travel time r at x. We characterize transport by an equivalent longitudinal macrodispersivity αL(x), which is proportional to the variance of the travel time. If αL is constant, transport is coined as Fickian, while it is anomalous if αL increases indefinitely with x. If f(z,x) is normal (for × I), transport is coined as Gaussian and the mean concentration satisfies an ADE with constant coefficients. For the subordinate structural model transport is anomalous, in spite of the closeness of the conductivity distribution to the lognormal one. To further analyse anomalous behaviour, a relationship is established between the shape of f(K) for K→0 and the behaviour of αL, arriving at criteria for normal or anomalous transport. The model is used in order to compare results with the recent ones presented in the literature, which are based on the Continuous Time Random Walk (CTRW) approach. It is found that a class of anomalous transport cases proposed by CTRW methodology cannot be supported by a conductivity structure of finite integral scale.

Original languageEnglish
Title of host publicationGroundwater Quality
Subtitle of host publicationSecuring Groundwater Quality in Urban and Industrial Environments, GQ'07
Pages342-347
Number of pages6
Edition324
StatePublished - 2008
EventGroundwater Quality 2007 Conference - Securing Groundwater Quality in Urban and Industrial Environments, GQ'07 - Fremantle, WA, Australia
Duration: 2 Dec 20087 Dec 2008

Publication series

NameIAHS-AISH Publication
Number324
ISSN (Print)0144-7815

Conference

ConferenceGroundwater Quality 2007 Conference - Securing Groundwater Quality in Urban and Industrial Environments, GQ'07
Country/TerritoryAustralia
CityFremantle, WA
Period2/12/087/12/08

Keywords

  • Contaminant transport
  • Groundwater hydrology
  • Random media
  • Stochastic processes

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