Geoscience Reference
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t 1 = 2 ¼ 0 : 03r 2 = D ;
ð 5 : 17 Þ
where r is the effective radius (cm) and t 1/2 is in seconds (Helfferich 1962 ).
For these entrapped contaminant ''spheres,'' the diffusion is rapid, on the order
of seconds rather than days. Kan et al. ( 2000 ) suggested a diffusion model for
xenobiotics with a slow desorption phase, with a half-life of years rather than
seconds, assuming that diffusion is hindered by the NOM matrix and occurs when
the dimensions of diffusing molecules approach those of the pores. Under these
conditions, hindrance from the wall becomes significant (Renkin 1954 ) and the
drag factor F can be expressed as
þ 2 : 14 r m = r p
3 0 : 95 r m = r p
5 þ;
F ¼ 1 2 : 09 r m = r p
ð 5 : 18 Þ
where r m and r p are the radii of the molecule and the pore, respectively. To extend
the diffusion half-life from seconds to years would require a drag factor of around
10 -8 , in the case where no interaction occurs between the diffusing molecules and
the entrapping matrix.
Another process leading to irreversible retention involves chemical binding of
contaminant molecules to organic matter (Bollag and Loll 1983 ). Fulvic and humic
acids are the compounds commonly involved in such binding. If binding on
organic matter matrix involves physical entrapment, van der Waals forces, or
charge transfer, significant release occurs only as a result of matrix-induced
degradation by microorganisms or plant enzymes. The reactions involved appear
to be the same as those responsible for humic substance formation. Phenol and
aromatic amines may bind to organic matter by oxidative coupling, while
substituted urea and triazines may not (Bollag et al. 1992 ). Binding of toxic
organic molecules on an organic matter matrix can take place also during humic
substance formation by polymerization processes.
References
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