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Transverse Dispersion of a Kinetically Sorbing Solute |
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| Authors: | A K Mishra and A Gutjahr |
| Institution: | (1) Department of Earth and Environmental Science, New Mexico Institute of Mining and Technology, Socorro, New Mexico, 87801;(2) Present address: Earth Sciences Division, E. D. Lawrence Berkeley National Laboratory, Berkeley, CA;(3) Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, 87801 |
| Abstract: | A recursion formulation for the transverse spreading of a solute is developed, and under conditions of steady flow in a stratified aquifer, the transport of a linearly sorbing solute undergoing nonequilibrium sorption is studied. The effect of spatial variability in the velocity field and the sorption kinetics are modeled to see the combined effect of the two processes on the spreading of the solute injected at a point in the aquifer. The main result of this work is a transport model based on a discrete formulation that includes local dispersion and leads to nonasymptotic behavior in the spreading of the plume in a direction normal to the mean flow velocity. |
| Keywords: | transverse dispersion solute steady flow stratified aquifer nonequilibrium sorption spatial variability velocity field sorption kinetics recursion |
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