US2019063195A1PendingUtilityA1
Inflow control apparatus, methods, and systems
Est. expiryOct 24, 2034(~8.2 yrs left)· nominal 20-yr term from priority
E21B 47/26E21B 43/12G05B 2219/37371G05B 17/00G06F 30/20G05B 19/416E21B 43/082E21B 43/08E21B 43/124G06F 17/5009E21B 47/124E21B 2200/02
55
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Claims
Abstract
In some embodiments, a simulation apparatus may comprise a processor and a memory to store a set of instructions, which when executed by the processor, forms a machine programmed to generate an analytical solution to simulate multiple scenarios for a total fluid flow rate in order to find one of the scenarios that meets a desired total flow rate for a fluid flow entering a portion of a screen to pass through one or more orifices in a base conduit covered by the screen. Additional apparatus, systems, and methods are described.
Claims
exact text as granted — not AI-modified1 - 5 . (canceled)
6 . A selection apparatus, comprising:
a display; and a selection circuit to determine length of a screen or a gap size between the screen and a base conduit using an analytical solution for a pressure distribution of a fluid flowing proximate to the screen, wherein the screen is to attach to an outer section of a wall defined by two end ports in a base conduit having at least one orifice, and wherein the length of the screen can be exposed to the fluid flowing through the screen into the at least one orifice, wherein the analytical solution is used to determine an area associated with the length, and wherein the selection circuit is to provide a result to enable displaying values associated with the length of the screen or the gap size on the display.
7 . The apparatus of claim 6 , further comprising:
a transmitter to transmit the values to a location coupled to e selection apparatus via a wired or a wireless connection.
8 . The apparatus of claim 6 , further comprising:
a screen fabrication apparatus to receive the values to determine fabrication parameters of the screen.
9 . The apparatus of claim 6 , wherein the total flow rate J is provided by
J
=
2
π
k
f
(
p
B
-
p
in
)
μ
r
s
ln
(
r
B
r
s
)
λ
1
λ
2
(
f
1
+
f
2
)
f
1
=
λ
2
{
sinh
(
λ
1
z
m
)
-
A
1
[
1
-
cosh
(
λ
1
z
m
)
]
}
f
2
=
λ
1
{
sinh
[
λ
2
(
L
-
z
m
)
]
+
A
2
[
1
-
cosh
[
λ
2
(
L
-
z
m
)
]
]
}
where p B is a boundary pressure associated with a surrounding formation, p in is a pressure associated with an inlet gap between the screen and the base conduit, μ is a viscosity of the fluid, r s is a radius of a sand-formation interface surrounding the conduit, r B is a drainage radius associated with a well defining the sand-formation interface, λ 1 is
Ω
1
+
ω
L
,
λ 2 is
Ω
L
,
z m is a length of the screen that is exposed to the fluid, A 1 is
λ
2
F
1
cosh
[
λ
2
(
L
-
z
m
)
]
-
F
2
sinh
[
λ
2
(
L
-
z
m
)
]
λ
2
sinh
(
λ
1
z
m
)
cosh
[
λ
2
(
L
-
z
m
)
]
+
λ
1
cosh
(
λ
1
z
m
)
sinh
[
λ
2
(
L
-
z
m
)
]
,
A 2 is
F
1
-
A
1
sinh
(
λ
1
z
m
)
sinh
[
λ
2
(
L
-
z
m
)
]
,
F 1 is cos h[λ 2 (L−z m )]−cos h(λ 1 z m ), F 2 is λ 1 sin h(λ 1 z m )+λ 2 sin h[λ 2 (L−z m )], L is a length of the base conduit, Ω is
2
k
f
L
2
k
s
(
r
s
2
-
r
0
2
)
ln
(
r
B
r
s
)
,
ω is
h
3
6
k
s
r
0
(
r
s
2
-
r
0
2
)
,
k f is a permeability of the formation in the sand-formation interface, k s is a permeability of the sand in the sand-formation interface, and r 0 is a radius of the conduit.
10 . An inflow control apparatus, comprising:
a base conduit with two end ports and at least one orifice in a wall defined by the end ports; and a screen to attach to an outer section of the wall, wherein a portion of the screen can be exposed to a fluid flowing through the portion into the at least one orifice, and wherein an analytical solution for a pressure distribution of the fluid proximate to the screen is used to determine an area of the portion.
11 . The apparatus of claim 10 , further comprising:
a shroud to attach to the base conduit.
12 . The apparatus of claim 11 , wherein the shroud comprises:
a movable shroud to partially cover the screen, to expose an adjustable fraction of the area.
13 . The apparatus of claim 12 , further comprising:
an actuator to move the movable shroud to adjust a value of the adjustable fraction.
14 . The apparatus of claim 10 , further comprising:
a receiver to receive commands to expose the area of the portion.
15 . The apparatus of claim 10 , further comprising:
A string of pipe disposed in a well downhole and coupled to the base conduit.
16 . The apparatus of claim 10 , wherein the analytical solution for a total flow rate J of the pressure distribution is provided by:
J
=
2
π
k
f
(
p
B
-
p
in
)
μ
r
s
ln
(
r
B
r
s
)
λ
1
λ
2
(
f
1
+
f
2
)
f
1
=
λ
2
{
sinh
(
λ
1
z
m
)
-
A
1
[
1
-
cosh
(
λ
1
z
m
)
]
}
f
2
=
λ
1
{
sinh
[
λ
2
(
L
-
z
m
)
]
+
A
2
[
1
-
cosh
[
λ
2
(
L
-
z
m
)
]
]
}
where p B is a boundary pressure associated with a surrounding formation, p in is a pressure associated with an inlet gap between the screen and the base conduit, μ is a viscosity of the fluid, r s is a radius of a sand-formation interface surrounding conduit, r B is a drainage radius associated with a well defining the sand-formation interface, λ 1 is
Ω
1
+
ω
L
,
λ 2 is
Ω
L
,
z m is a length of the screen that is exposed to the fluid, A 1 is
λ
2
F
1
cosh
[
λ
2
(
L
-
z
m
)
]
-
F
2
sinh
[
λ
2
(
L
-
z
m
)
]
λ
2
sinh
(
λ
1
z
m
)
cosh
[
λ
2
(
L
-
z
m
)
]
+
λ
1
cosh
(
λ
1
z
m
)
sinh
[
λ
2
(
L
-
z
m
)
]
,
A 2 is
F
1
-
A
1
sinh
(
λ
1
z
m
)
sinh
[
λ
2
(
L
-
z
m
)
]
,
F 1 is cos h[λ 2 (L−z m )]−cos h(λ 1 z m ), F 2 is λ 1 sin h(λ 1 z m )+λ 2 sin h[λ 2 (L−z m )], L is a length of the base conduit, Ω is
2
k
f
L
2
k
s
(
r
s
2
-
r
0
2
)
ln
(
r
B
r
s
)
,
ω is
h
3
6
k
s
r
0
(
r
s
2
-
r
0
2
)
,
k f is a permeability of the formation in the sand-formation interface, k s is a permeability of the sand in the sand-formation interface, and r 0 is a radius of the conduit.
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