A comparison of travel time and concentration approaches to modeling transport by groundwater

  • G. Dagan*
  • , V. Nguyen
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

99 Scopus citations

Abstract

Two approaches to characterize transport by groundwater are compared: the common one in which solute movement is represented in terms of concentration as function of space and time and that of a travel-time probability distribution function (p.d.f.), defined as the probability of crossing of a compliance surface by a solute particle. First, the connection between the two representations is established: the travel-time p.d.f. is proportional to the mass of solute which has crossed the surface at time t. The implication of ergodicity of concentration upon travel-time distribution is discussed. The application of travel-time approach is illustrated for Fickian transport of an inert solute in a heterogeneous aquifer. The influence of spatial variability of hydraulic conductivity and of parameters estimation errors are examined separately. The relative merits of the two approaches are examined.

Original languageEnglish
Pages (from-to)79-91
Number of pages13
JournalJournal of Contaminant Hydrology
Volume4
Issue number1
DOIs
StatePublished - Feb 1989

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