HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...
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Model G<br />
[<br />
dP [ ]<br />
(<br />
dt = (1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t)(1 − a 6 ) − a 9 − a 17<br />
]P −<br />
dZ<br />
(<br />
dt =<br />
a 13 P 2<br />
a 12<br />
1 + a 13 a 14 P<br />
} {{ 2<br />
}<br />
Z Grazing Rate<br />
dD<br />
dt = (<br />
(1 − a 10 )(a 9 P + a 11 Z)<br />
)<br />
)<br />
Z −<br />
(a 11 + a 16 Z<br />
)<br />
+<br />
(<br />
(1 − a 10 )(1 − a 12 )<br />
[<br />
]<br />
dN<br />
dt = E T H2 O<br />
(a 19 − N)a<br />
max<br />
− E T H2 O(t)<br />
20<br />
E T H2 O max<br />
− E T H2 O min<br />
[<br />
−<br />
P<br />
(a 7 12.0107)<br />
a 13 P 2<br />
1 + a 13 a 14 P 2<br />
} {{ }<br />
Z Grazing Rate<br />
[<br />
]<br />
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t) +<br />
[<br />
]<br />
dF<br />
dt = E T H2 O<br />
(a 21 − F )a<br />
max<br />
− E T H2 O(t)<br />
22<br />
E T H2 O max<br />
− E T H2 O min<br />
[<br />
−<br />
P<br />
(a 8 12.0107)<br />
[<br />
]<br />
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))<br />
M(t) +<br />
a 13 P 2<br />
1 + a 13 a 14 P 2<br />
} {{ }<br />
Z Grazing Rate<br />
)<br />
Z − D(a 15 + a 18 )<br />
]<br />
a 15 D<br />
(a 7 ∗ 12.0107)<br />
[<br />
]]<br />
a 15 D<br />
(a 7 12.0107)<br />
)<br />
Z<br />
{<br />
F<br />
M(t) = min<br />
(F + a 5 ) , N<br />
(N + a 4 ) , E P UR (t)<br />
(e− a 2 )(1−e −E P UR (t)(1+a 3 e(E P UR (t)e1.089−2.12log 10 (a 1 ) ) )<br />
a 1 ))<br />
}<br />
90