Kinematic Mixing in Stratified Aquifersby Gilberto E. Urroz,
Marian W. Kemblowski,
Abstract: The mixing process in heterogeneous aquifers is presented as the bending and stretching of material lines. A linear mixing efficiency is defined in terms of the mean values of a unit length stretch, λ, and of the magnitude of the deformation rate tensor, |D|. The behavior of the specific rate of stretching, α = D(ln λ)/Dt, is analyzed for the case of a stratified aquifer whose permeability distribution follows a Gaussian autocovariance function. The specific rate of stretching is presented as a function of time, of the unit vector (M) defining the original orientation of the material filament, of the aquifer porosity (n), and of the standard deviation (σK) and the correlation scale (lK) of the permeability distribution.
Subject Headings: Aquifers | Water stratification | Permeability (material) | Materials processing | Deformation (mechanics) | Porosity | Kinematics | Groundwater flow
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