US2016040532A1PendingUtilityA1
Reservoir water volume shift model
Individually held — no corporate assignee on recordPriority: Aug 5, 2014Filed: Aug 5, 2014Published: Feb 11, 2016
Est. expiryAug 5, 2034(~8 yrs left)· nominal 20-yr term from priority
E21B 49/08E21B 47/06E21B 49/087
37
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Claims
Abstract
A method of estimating properties of a reservoir fluid in an underground reservoir includes: calculating the density ρ of the mixture containing water; determining component-specific volume shift parameters c i ; replacing the component specific volume shift parameter for water with a volume shift parameter c H2O ; determining a total volume shift c required from the sum of the component specific volume shifts and the mole fraction of each component in the mixture; determining a corrected molar volume of the liquid and vapor by subtracting the total volume shift c from an equation of state (EOS) calculated molar volume v; and recalculating density ρ and compressibility factor Z for the liquid and vapor phases with the corrected molar volume.
Claims
exact text as granted — not AI-modifiedWhat is claimed is:
1 . An apparatus for estimating conditions of reservoir fluid in an underground reservoir, the apparatus comprising:
a sensor for measuring one or more measured parameters of that fluid, the measured parameters including at least one of: temperature and pressure of the fluid; and a processor, the processor configured to:
receive data representing the one or more measured parameters;
calculate the density ρ of a mixture containing water;
determine component-specific volume shift parameters c i ;
replace the component specific volume shift parameter for water with a volume shift parameter c H2O ;
determine a total volume shift c required from the sum of the component specific volume shifts and the mole fraction of each component in the mixture;
determine a corrected molar volume of the liquid and vapor by subtracting the total volume shift c from an equation of state (EOS) calculated molar volume v; and
recalculate density ρ and compressibility factor Z for the liquid and vapor phases with the corrected molar volume.
2 . The apparatus of claim 1 , wherein the density is determined based by solving:
ρ
liq
=
P
RT
M
liq
Z
liq
;
and
ρ
vap
=
P
RT
M
vap
Z
vap
.
3 . The apparatus of claim 2 , wherein determining the component-specific volume shift parameters c i ; includes solving:
c
i
=
0.40768
(
RT
c
P
c
)
(
0.29441
-
Z
RA
)
.
4 . The apparatus of claim 2 , wherein determining the component-specific volume shift parameters c i ; includes solving:
c
i
=
S
i
b
i
,
S
i
=
1
-
d
M
e
,
b
i
=
Ω
b
RT
c
P
c
,
where d=2.258 and e=0.1823 for n-alkane hydrocarbons (different values of d and e are also provided for aromatic and naphthenic hydrocarbons).
5 . The apparatus of claim 2 , wherein replacing the component specific volume shift parameter for water with a volume shift parameter c H2O , includes solving:
c
H
2
O
=
b
H
2
O
S
H
2
O
,
S
H
2
O
=
a
+
b
exp
(
T
r
)
+
c
exp
(
P
r
)
+
d
exp
(
T
r
)
exp
(
P
r
)
1
+
f
exp
(
T
r
)
+
exp
(
P
r
)
+
h
exp
(
T
r
)
exp
(
P
r
)
,
b
H
2
O
=
Ω
b
RT
c
P
c
=
{
2.114176
×
10
-
5
m
3
mol
(
S
R
K
)
1.898464
×
10
-
5
m
3
mol
(
P
R
)
P
r
=
P
P
c
and
T
r
=
T
T
c
6 . The apparatus of claim 2 , wherein determining a total volume shift c required from the sum of the component specific volume shifts and the mole fraction of each component in the mixture; includes solving:
c
liq
=
∑
i
N
x
i
c
i
,
c
vap
=
∑
i
N
y
i
c
i
.
7 . The apparatus of claim 2 , wherein determining a corrected molar volume of the liquid and vapor by subtracting the total volume shift c from an equation of state (EOS) calculated molar volume v; includes solving:
v liq corrected =v liq EOS −c liq , v vap corrected =v vap EOS −c vap .
8 . The apparatus of claim 2 , wherein recalculating the density ρ and compressibility factor Z for the liquid and vapor phases with the corrected molar volume; includes solving:
ρ
liq
corrected
=
M
liq
υ
liq
corrected
,
ρ
vap
corrected
=
M
vap
υ
vap
corrected
,
Z
liq
corrected
=
1
υ
liq
corrected
,
Z
vap
corrected
=
1
υ
vap
corrected
.
9 . A method of estimating properties of a reservoir fluid in an underground reservoir, the apparatus comprising:
receiving, at a computing device, data representing one or more measured parameters of a mixture containing water in the underground reservoir. calculating, with the computing device, the density ρ of the mixture containing water; determining component-specific volume shift parameters c i ; replacing the component specific volume shift parameter for water with a volume shift parameter c H2O ; determining a total volume shift c required from the sum of the component specific volume shifts and the mole fraction of each component in the mixture; determining a corrected molar volume of the liquid and vapor by subtracting the total volume shift c from an equation of state (EOS) calculated molar volume v; and recalculating density ρ and compressibility factor Z for the liquid and vapor phases with the corrected molar volume.
10 . The method of claim 9 , wherein determining the component-specific volume shift parameters c i ; may include solving:
c
i
=
0.40768
(
RT
c
P
c
)
(
0.29441
-
Z
RA
)
.
11 . The method of claim 9 , wherein determining the component-specific volume shift parameters c i ; may include solving:
c
i
=
S
i
b
i
,
S
i
=
1
-
d
M
e
,
b
i
=
Ω
b
RT
c
P
c
,
where d=2.258 and e=0.1823 for n-alkane hydrocarbons.
12 . The method of claim 9 , wherein replacing the component specific volume shift parameter for water with a volume shift parameter c H2O , includes solving:
c
H
2
O
=
b
H
2
O
S
H
2
O
,
S
H
2
O
=
a
+
b
exp
(
T
r
)
+
c
exp
(
P
r
)
+
d
exp
(
T
r
)
exp
(
P
r
)
1
+
f
exp
(
T
r
)
+
exp
(
P
r
)
+
h
exp
(
T
r
)
exp
(
P
r
)
,
b
H
2
O
=
Ω
b
RT
c
P
c
=
{
2.114176
×
10
-
5
m
3
mol
(
S
R
K
)
1.898464
×
10
-
5
m
3
mol
(
P
R
)
P
r
=
P
P
c
and
T
r
=
T
T
c
13 . The method of claim 9 , wherein determining a total volume shift c required from the sum of the component specific volume shifts and the mole fraction of each component in the mixture; includes solving:
c
liq
=
∑
i
N
x
i
c
i
,
c
vap
=
∑
i
N
y
i
c
i
.
14 . The method of claim 9 , wherein determining a corrected molar volume of the liquid and vapor by subtracting the total volume shift c from an equation of state (EOS) calculated molar volume v; includes solving:
v liq corrected =v liq EOS −c liq , v vap corrected =v vap EOS −c vap .
15 . The method of claim 9 , wherein recalculating the density ρ and compressibility factor Z for the liquid and vapor phases with the corrected molar volume; includes solving:
ρ
liq
corrected
=
M
liq
υ
liq
corrected
,
ρ
vap
corrected
=
M
vap
υ
vap
corrected
,
Z
liq
corrected
=
1
υ
liq
corrected
,
Z
vap
corrected
=
1
υ
vap
corrected
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