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SECTION 3
IDEALIZED CONTOUR RATIO SCALING FUNCTIONS
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3.1 GENERAL DISCUSSION
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The idealized scaling functions are presented first to introduce
a simple working model that can be tested and modified in a consistent
manner by use of available data. The model detonation will be a surface land detonation in which all of the radionuclides produced are
retained by the total mass (clay soil) removed from the crater.
‘The
fallout thus produced will then deposit over an ideal smooth plane. A
mathematical derivation of the contour ratio scaling functions for the
idealized case follows.
3.2
by
DEFINITION OF THE MASS CONTOUR RATIO
At any point in the fallout area, the mass contour ratio is defined
H(t) = n/T(t)
(1)
in which m is the mass of fallout per unit area, and I(t) is the radia-
tion intensity (say, at 3 ft above an extended plane source of radioactivity) at the time, t, after detonation. ‘The mass contour ratio,
defined as a grand average function is
W(t) = M,/1,(t)
por/NwY
(2)
in which Mp is the integrated value of m over the whole fallout area
end Ip(t) is the integrated value of I(t) over the same area. Evaluation
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