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Biophase
∂θ bio X 3
∂t
∂t ( θ bio [Fe 2+ ] bio )=
1
P Fe 2+
T b (1
n )
Fe 2+ :
grow
a
θ bio θ w D L
θ bio + θ w
([Fe 2+ ] bio
[Fe 2+ ] mob ) .
·
(5)
∂θ bio X 3
∂t
∂t ( θ bio [Fe(OH) 3 ] bio )=
1
U Fe(OH) 3
Fe(OH) 3 :
grow
T mb (1
n )
a
θ bio θ mat D M
θ bio + θ mat
·
([Fe(OH) 3 ] bio
[Fe(OH) 3 ] mat ) .
(6)
Matrix phase
∂t ( θ mat [Fe(OH) 3 ] mat )
Fe(OH) 3 :
θ bio θ mat D M
θ bio + θ mat
T mb (1
n )
=
·
([Fe(OH) 3 ] bio
[Fe(OH) 3 ] mat ) .
(7)
a
Bacteria
∂X 3
∂t
= ∂X 3
∂t
+ ∂X 3
∂t
X3:
(8)
Iron
grow
decay
∂X 3
∂t
IC NO 3
[CH 2 O] bio
K CH 2 O +[CH 2 O] bio
= v Fe(OH) 3
·
+[NO 3 ] bio ·
max
IC NO 3
grow
[Fe(OH) 3 ] bio
·
K Fe(OH) 3 +[Fe(OH) 3 ] bio ·
X 3 .
(9)
∂X 3
∂t
=
v X 3dec ·
X 3 ,
(10)
decay
where θ W , θ bio , θ mat are the specific volumes of mobile phases, biophase,
and matrix phase. T b , T mb are the concentration change coecients between
biomobile phase or biomatrix phase, n is the porosity, a is the diameter of
soil particles, Y Fe(OH)
CH 2 O is the yield coecient, P Fe 2+ ,U Fe(OH) 3 are the pro-
duction or growth coecients that can be stoichiometrically related to the
yield coecient. S 3 Fe is the pore water and solid phase exchange reac-
tion term of Fe, IC NO 3
is the inhibition concentration for CH 2 O, K CH 2 O ,
K Fe(OH) 3 is half saturation concentration for CH 2 O, v Fe(OH) 3
, v X 3dec is the
maximum growth or constant decay rate of bacteria X3.
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