Geoscience Reference
In-Depth Information
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.