HIERARCHAL INDUCTIVE PROCESS MODELING AND ANALYSIS ...

Model H
[
dP [ ]
(
dt = (1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))
M(t)(1 − a 6 ) − a 9 − a 17
]P − a 13 (1 − e −a14P )
} {{ }
Z Grazing Rate
dZ
(
dt = a 12 a 13 (1 − e −a14P )
} {{ }
Z Grazing Rate
dD
dt = (
(1 − a 10 )(a 9 P + a 11 Z)
)
)
Z −
(a 11 + a 16 Z
)
+
[
]
dN
dt = E T H2 O
(a 19 − N)a
max
− E T H2 O(t)
20
E T H2 O max
− E T H2 O min
[
−
P
(a 7 12.0107)
(
)
(1 − a 10 )(1 − a 12 ) a 13 (1 − e −a14P ) Z − D(a
} {{ }
15 + a 18 )
Z Grazing Rate
[
]
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))
M(t) +
[
]
dF
dt = E T H2 O
(a 21 − F )a
max
− E T H2 O(t)
22
E T H2 O max
− E T H2 O min
[
−
P
(a 8 12.0107)
[
]
(1 − E ice (t))a 0 e (0.06933∗E T H 2 O(t))
M(t) +
]
a 15 D
(a 7 ∗ 12.0107)
[
]]
a 15 D
(a 7 12.0107)
)
Z
{
F
M(t) = min
(F + a 5 ) , N
(N + a 4 ) , E P UR (t)
(e− a 2 )(1−e −E P UR (t)(1+a 3 e(E P UR (t)e1.089−2.12log 10 (a 1 ) ) )
a 1 ))
}
91