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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/34B0EDC9-7777-408B-9E34-ADA8D92B8127 | ||
| Year | 1992 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | C. V. Chrysikopoulos ,P. K. Kitanidis,.P. V. Roberts ,"Macrodispersion of sorbing solutes in heterogeneous porous formations with spatially periodic retardation factor and velocity field ", Wat.resour. rese., vol. 28 ,no.6 ,pp.1517-1529, 1992.doi:10.1029/92WR00010 https://doi.org/10.1029/92WR00010 | ||
| Appears in Collections |
Expressions for the macroscopic velocity vector and dispersion tensor for sorbing solute transport in heterogeneous porous formations whose hydrogeologic properties are repeated at intervals were derived via Taylor-Aris-Brenner moment analysis. An idealized three-dimensional porous formation of infinite domain with spatially periodic retardation factor, velocity field, and microdispersion coefficients in all three directions was considered. Sorption was assumed to be governed by a linear equilibrium isotherm under local chemical equilibrium conditions. The analytical expressions presented are based on a perturbation method where all of the spatially periodic parameters employed were assumed to have ``small'' fluctuations. It was shown that the effective velocity vector is given by the volume-averaged interstitial velocity vector divided by the volume-averaged retardation factor, and the effective dispersion dyadic (second-order tensor) is given by the volume-averaged microdispersion dyadic divided by the volume-averaged dimensionless retardation factor plus a dyadic expressing the increase in solute spreading caused by the spatial variability of the parameters.
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