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On the Use of Radioactive Tracers in Diffusion Experiments¹

ABSTRACT

The use of radio-isotopes for flow (viscous or molecular) experiments is useful mostly because of the complete analogy between the flow of the tagged and the untagged species. The analogy requires that the equation of flow and the initial and boundary conditions would lead to similar solutions for the two isotopes. In many cases a correction for the decay in radioactivity leads to such an analogy. However, in the presence of adsorptive processes, or flow with sinks, the mathematical analogy may fail. This limitation occurs with time-dependent sinks. It sometimes can be eleviated, e.g., if the radioactive tracer is of long half life compared with the length of the experiment.

Key Words: phosphates in soil • flow through porous media

¹ Contribution from the Laboratory of Soil Science, Faculty of Agricultural Engineering, Pub. No. 26, TECHNION—Israel Institute of Technology, Haifa, Israel. This work has been financed in part by a grant made by the United States Department of Agriculture under P.L. 480.

Received for publication December 19, 1966. Accepted for publication May 26, 1967.