Effects of local dispersion and kinetic sorption on evolution of concentration variance in a heterogeneous aquifer
A Eulerian stochastic method is applied to develop a theory of concentration variance for solute transport in a heterogeneous medium. The study focuses on the effects of kinetic sorption and local dispersion on solute dissipation. Spatial distribution of the concentration variance is obtained by sca...
Saved in:
Published in | Mathematical geology Vol. 38; no. 3; pp. 327 - 342 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Springer
01.04.2006
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | A Eulerian stochastic method is applied to develop a theory of concentration variance for solute transport in a heterogeneous medium. The study focuses on the effects of kinetic sorption and local dispersion on solute dissipation. Spatial distribution of the concentration variance is obtained by scaling the zero local dispersion form of sigma sub(c) super(2). The scaling function resulting from the local dispersion and kinetic sorption is derived in a closed integral form. It satisfies the measurement of total concentration variance resulting from the Eulerian mass balance using spatially integrated concentration moments. The spatially integrated moments bypass the need for classical closures applied to joint moments between concentration and velocity fields. The study results indicate that kinetic sorption reduces the total development of concentration variance in comparison with non-reactive solute transport. Kinetic sorption acts as a reduction mechanism, but not as a dissipating mechanism like the local dispersion. Kinetic sorption and local dispersion are not additive processes and their effects on the concentration variance depend on the stage of transport time. |
---|---|
Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 ObjectType-Article-2 ObjectType-Feature-1 |
ISSN: | 0882-8121 1874-8961 1573-8868 1874-8953 |
DOI: | 10.1007/s11004-005-9014-8 |