US2015039276A1PendingUtilityA1
Systems and Methods for Estimating Fluid Breakthrough Times at Producing Well Locations
Est. expiryFeb 10, 2032(~5.5 yrs left)· nominal 20-yr term from priority
Inventors:Marko Maucec
Y02A10/40E21B 47/10E21B 43/20E21B 49/00
49
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Claims
Abstract
Systems and methods for estimating fluid breakthrough times at producing well locations based on fluid propagation simulation.
Claims
exact text as granted — not AI-modified1 . A method for estimating a fluid breakthrough time at a production well based on fluid propagation simulation data, comprising:
identifying streamline tracking data; calculating an average streamline travel time in each grid-cell based on the streamline tracking data; identifying a shortest or fastest streamline for the production well using the average streamline travel time in each grid-cell; calculating an average time-of-flight for the shortest or fastest streamline over each traversed grid-cell using a computer processor; and estimating the fluid breakthrough time at the production well using the fluid propagation simulation data and the average time-of-flight for the shortest or fastest streamline.
2 . The method of claim 1 , wherein the fluid propagation simulation data comprises a fluid invasion time represented by a number of simulation iterations needed for a fluid to reach the production well from an injection well through one or more grid-cells representing a reservoir property model.
3 . The method of claim 1 , wherein the streamline tracking data comprises a number of streamline segments traversing each grid-cell, a travel time for each streamline segment in each grid-cell, indices for each grid-cell and a total number of grid-cells traversed by all streamlines connecting an injection well with a production well.
4 . The method of claim 3 , wherein the average streamline travel time in each grid-cell is calculated by:
∂
τ
~
=
1
N
SLN
∑
n
=
1
N
SLN
∂
τ
(
ψ
m
,
n
i
,
j
,
k
)
wherein (N SLN ) represents the number of streamline segments traversing each (∂τ(ψ m,n i,j,k )) grid-cell and represents the travel time for each streamline segment in each grid-cell.
5 . The method of claim 1 , wherein the shortest or fastest streamline for the production well represents a streamline with a lowest sum of average streamline travel times in grid-cells the streamline traverses between an injection well and the production well.
6 . The method of claim 5 , wherein the average time-of-flight for the shortest or fastest streamline is calculated over each traversed grid-cell using the lowest sum of average streamline travel times for the shortest or fastest streamline and a total number of grid-cells traversed by the shortest or fastest streamline.
7 . The method of claim 6 , wherein the average time-of-flight for the shortest or fastest streamline is calculated by:
〈
TOF
〉
m
i
n
=
1
N
^
GC
m
i
n
∑
u
=
1
N
^
GC
m
i
n
∂
τ
~
u
m
i
n
wherein ({circumflex over (N)} GC min ) represents the total number of all grid-cells traversed by the shortest or fastest streamline, (∂{tilde over (τ)} min ) represents the lowest sum of average streamline travel times for the shortest or fastest streamline and (u) represents a number of runs over all indices of grid-cells traversed by the shortest or fastest streamline.
8 . The method of claim 2 , wherein the fluid breakthrough time at the production well is estimated by:
T
BT
=
〈
TOF
〉
m
i
n
×
t
INV
i
,
j
,
k
N
p
×
N
SLN
m
N
xyz
wherein (N xyz ) and (N p ) represent a total size of the reservoir property model and a total number of production wells, respectively, (<TOF> min ) represents the average time-of-flight for the shortest or fastest streamline, (N SLN m ) represents a total number of grid-cells traversed by all streamlines connecting an injection well with the production well and (t INV i,j,k ) represents the fluid invasion time.
9 . The method of claim 1 , further comprising repeating the steps in claim 1 for each production well.
10 . The method of claim 1 , wherein the reservoir property model is a permeability model.
11 . A non-transitory carrier device tangibly carrying computer executable instructions for estimating a fluid breakthrough time at a production well based on fluid propagation simulation data, the instructions being executable to implement:
identifying streamline tracking data; calculating an average streamline travel time in each grid-cell based on the streamline tracking data; identifying a shortest or fastest streamline for the production well using the average streamline travel time in each grid-cell; calculating an average time-of-flight for the shortest or fastest streamline over each traversed grid-cell; and estimating the fluid breakthrough time at the production well using the fluid propagation simulation data and the average time-of-flight for the shortest or fastest streamline.
12 . The program carrier device of claim 11 , wherein the fluid propagation simulation data comprises a fluid invasion time represented by a number of simulation iterations needed for a fluid to reach the production well from an injection well through one or more grid-cells representing a reservoir property model.
13 . The program carrier device of claim 11 , wherein the streamline tracking data comprises a number of streamline segments traversing each grid-cell, a travel time for each streamline segment in each grid-cell, indices for each grid-cell and a total number of grid-cells traversed by all streamlines connecting an injection well with a production well.
14 . The program carrier device of claim 13 , wherein the average streamline travel time in each grid-cell is calculated by:
∂
τ
~
=
1
N
SLN
∑
n
=
1
N
SLN
∂
τ
(
ψ
m
,
n
i
,
j
,
k
)
wherein (N SLN ) is the number of streamline segments traversing each grid-cell and (∂τ(ψ m,n i,j,k )) represents the travel time for each streamline segment in each grid-cell.
15 . The program carrier device of claim 11 , wherein the shortest or fastest streamline for the production well represents a streamline with a lowest sum of average streamline travel times in grid-cells the streamline traverses between an injection well and the production well.
16 . The program carrier device of claim 15 , wherein the average time-of-flight for the shortest or fastest streamline is calculated over each traversed grid-cell using the lowest sum of average streamline travel times for the shortest or fastest streamline and a total number of grid-cells traversed by the shortest or fastest streamline.
17 . The program carrier device of claim 16 , wherein the average time-of-flight for the shortest or fastest streamline is calculated by:
〈
TOF
〉
m
i
n
=
1
N
^
GC
m
i
n
∑
u
=
1
N
^
GC
m
i
n
∂
τ
~
u
m
i
n
wherein ({circumflex over (N)} GC min ) represents the total number of all grid-cells traversed by the shortest or fastest streamline, (∂{tilde over (τ)} min ) represents the lowest sum of average streamline travel times for the shortest or fastest streamline and (u) represents a number of runs over all indices of grid-cells traversed by the shortest or fastest streamline.
18 . The program carrier device of claim 12 , wherein the fluid breakthrough time at the production well is estimated by:
T
BT
=
〈
TOF
〉
m
i
n
×
t
INV
i
,
j
,
k
N
p
×
N
SLN
m
N
xyz
wherein (N xyz ) and (N p ) represent a total size of the reservoir property model and a total number of production wells, respectively, (<TOF> min ) represents the average time-of-flight for the shortest or fastest streamline, (N SLN m ) represents a total number of grid-cells traversed by all streamlines connecting an injection well with the production well and t INV i,j,k represents the fluid invasion time.
19 . The program carrier device of claim 11 , further comprising repeating the steps in claim 1 for each production well.
20 . The program carrier device of claim 11 , wherein the reservoir property model is a permeability model.Join the waitlist — get patent alerts
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