Ground water contaminant transport by nondivergence-free, unsteady and nonstationary velocity fields

Sirin H.

JOURNAL OF HYDROLOGY, vol.330, no.3-4, pp.564-572, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 330 Issue: 3-4
  • Publication Date: 2006
  • Doi Number: 10.1016/j.jhydrol.2006.04.019
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.564-572
  • Keywords: subsurface contaminant transport, cumulant expansion, stochastic differential equations, density dependent flows, HETEROGENEOUS POROUS-MEDIA, SOLUTE TRANSPORT, FLOW CONDITIONS, STOCHASTIC-ANALYSIS, AQUIFERS, MODEL, SIMULATIONS, DISPERSION, EQUATIONS
  • Anadolu University Affiliated: Yes


Pore flow velocity is assumed to be a nondivergence-free, unsteady, and non-stationary random function of space and time for ground water contaminant transport in a heterogeneous medium. The laboratory-scale stochastic contaminant transport equation is up scaled to field scale by taking the ensemble average of the equation by using the cumulant expansion method. A new velocity correction, which is a function of mean pore flow velocity divergence, is obtained due to strict second order cumulant expansion (without omitting any term after the expansion). The field scale transport equations under the divergence-free pore flow velocity field assumption are also derived by simplifying the nondivergence-free field scale equation. The significance of the new velocity correction term is investigated on a two dimensional transport problem driven by a density dependent flow. (c) 2006 Elsevier B.V.. All rights reserved.