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The Relaxation time and the half-life.

The half-life tex2html_wrap_inline3189 is the time it takes for half the difference in levels to be wiped out.

That is...
equation500

Substituting from equation 31 with t=0 and tex2html_wrap_inline3193 ...
equation504

The difference in the initial levels cancels, and we can solve for tex2html_wrap_inline3189...

Time to reach half the initial level difference.


 equation1136

Equation (34) makes explicit the relationship between the settling time of the lake, the area of the lake, the relaxation time and the channel cross-section.



John Carter
Tue Jun 17 09:50:07 SAT 1997