Chrysikopoulos ConstantinosΧρυσικοπουλος ΚωνσταντινοςPeter K. Kitanidis2024-10-312024-10-3119922015-09-21C. 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:10.1029/92WR00010https://dspace.library.tuc.gr/handle/123456789/907Expressions 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.14 pagesenhttp://creativecommons.org/licenses/by/4.0/Peer-Reviewed Journal Publication