8 1 History Match EM
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Transcript of 8 1 History Match EM
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D
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D :
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D
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D
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E P -R e s e r v oi r S
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c h i n g-E .M .
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&
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D : © 2 0 1 0 - I F P T r a i n i n g
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D : © 2 0 1 0 - I F P T r a i n i n g
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D :
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2 4
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: 0
© 2 0 1 0 - I F P T r a i n i n g
2 5
E P -R e s e r v oi r S
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2 6
A
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c h i n g-E .M .
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D
:
C
D
© 2 0 1 0 - I F P T r a i n i n g
2 7
D
&
E P -R e s e r v oi r S
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F l ow d i r e c t i on s ar en o t c or r e
c t i f pr e s s ur ei s n
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2 8
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c h i n g-E .M .
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: A
E a r l y w e l l b e h a vi o ur c or r e s p on d t o a r e a c l o s e t o
t h e w e l l s
© 2 0 1 0 - I F P T r a i n i n g
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L a t e w e l l b e h
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d t o a r e a f a r f r om
t h e w e l l s
© 2 0 1 0 - I F P T r a i n i n g
&
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:
© 2 0 1 0 - I F P T r a i n i n g
3 1
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© 2 0 1 0 - I F P T r a i n i n g
3 2
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A
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B
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3 4
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c h i n g-E .M .
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:
( 1 )
A &
& C
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E P -R e s e r v oi r S
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Qr e s = Q o.B o
( P ) + { Q g-R s ( P
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E C E
E
E P -R e s e r v oi r S
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g
p
s
p
B
N R
G
−
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( 3 )
R o c k & S w ,i
E x p an s i on
[
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c
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+
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s
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P r
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W a t er
P r
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W e
E x p an s i on
W a t er
I n j e c t i on
w
i n j B
W
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W
E P -R e s e r v oi r S
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:
( 4 )
R o c k & S w ,i
E x p an s i on
[
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w
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B Ni
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E x p an s i on
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[
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g
p
s
p
g
s
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B
R
R Ni
−
−
−
+
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W e
E x p an s i on
W a t er
I n j . / P r o d
)
w
p
i n j
B
W- W
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c h i n g-E .M .
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K e y w or d
I nf or m a t i on
F OP T
C um ul a t
i v e Oi l P r o d u c t i on
F GP T
C um ul a t i v e G a s P r o d u c t i on
:
( 5 )
um u av e
a er
r o u c on
F WI T
C um ul a t i v eW a t er I n j e c t i on
F OR ME
S t o c k t ank oi l pr o d u c e d b y oi l ex p an s i on
F OR M G
S t o c k t ank oi l pr o
d u c e d b y g a s ex p an s i on
F OR MR
S t o c k t ank oi l pr o
d u c e d b y r o c k c o
m p a c t i on
F OR MW
S t o c k t ank oi l pr o
d u c e d b y w a t er e
x p an s i on
© 2 0 1 0 - I F P T r a i n i n g
3 9
F R P V
P or ev ol um e
a t r e s er v oi r c on d i t i on s
F OP V
P or ev ol u
m e c on t ai ni n g oi l
F GP V
P or ev ol u
m e c on t ai ni n g g a
s
E P -R e s e r v oi r S
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:
( 6 )
F OR MR
∆ P c
S B Ni
p
i o ,
i o ,
*
B
B G
−
o
pB N
F OR ME
i o ,
o
B
B Ni
−
F OP T
F OR M G
[
]
(
)
g
p
s
p
g
s
i s ,
,B
N R
G
B
R
R Ni
−
−
−
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4 0
F OR MW
(
)
w
p
i n j
i w ,
w
i o ,
i o ,
B
W
W
W e
∆ P
S c
S
−
+
+
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
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C
:
( 7 )
∆ P
c
S B Ni
F ORMR
p
i o ,
i o ,
=
E
[
]
[
]
(
)
g
p
s
p
g
s
i s ,
i g ,
g
* i
B
N R
G
B
R
R Ni
B
B G
F
ORM G
−
−
−
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−
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i o ,
o
B
B
N
i
F ORME
−
=
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4 1
E
(
)
w
p
i n j
w
i o ,
i o ,
B
W-
W
W e
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S B Ni
F ORM W
+
+
=
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c
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:
( 8 )
F ORM W
F ORMR
F ORM
G
F ORME
F OP T
+
+
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=
A
F OI P
/
F O
P V
B o ( t )
F GP
V
F WP V
F OP V
F
RP V
=
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4 2
A
F WI P
/
F W
P V
B w ( t )
=
E P -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
E E
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: D
−
−
− ( & )
© 2 0 1 0 - I F P T r a i n i n g
4 3
EP -R e s e r v oi r S
i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
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t P
φ µ c
k
z P
y P
x P
2 2
2 2
2 2
∂ ∂
=
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+
∂ ∂
k
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4 4
EP -R e s e r v oi r S
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i l i t y
c om pr e s s i b
T o t a l
c
;
vi s c o s i t y
F l ui d
µ
P or o s i
t y
φ
;
t y
P e r m e a b i l i
k
y
u s v
yr a u c
φ µ c
=
=
=
=
=
E
E
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,
:
D
−
− ( & )
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4 5
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
P r e s s ur e a t d r ai n a g er a d i u s ?
:
( 2 )
A v er a g eWB P 9 pr e s s ur e
+
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4 6
A R E A R E P R E S E N
T E D B Y T H E N U M
E R I C A L P I
D R A I N A GE A R E A
W el l c el l pr e s s u
r e
B o t t omh o
l ef l owi n g pr e s s ur e
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
E
E
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C
:
( 3 )
(
)
UP F
S
r r
L n
DZ
K
1 0
8 .2 5 7
C F
m o d
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w ,
3 -
+
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(
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i u s
w e l l
r ;
r a d
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w e l l
E q ui v a l e n t
r
H e i gh t
C e l l
D
Z
; k k
K
w
b w ,
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x
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2 1
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y x
4
1
x y
2
y x
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x y
b w ,
k k
k k
DY
k
D
X
k
r
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+
=
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
:
( 4 )
C
A A B
E E E E C E E
E &B
Q
P
© 2 0 1 0 - I F P T r a i n i n g
4 8
P RE S
S URE &F L O WRAT E
HI S T ORY
I N S T A NT A NE O U S P RE S S URE P R OF I L E
L nr
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
E E
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:
( 5 )
E
C E E E
A E
P
P
t
Q
t
Q
© 2 0 1 0 - I F P T r a i n i n g
4 9
E RR O NE O U S P RE S S URE MAT C H
G O ODP RE S S U
RE MAT C H
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
© 2 0 1 0 - I F P T r a i n i n g
5 0
EP -R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
E
E
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E
:
© 2 0 1 0 - I F P T r a i n i n g
5 1
P-R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
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S c al e d K r
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:
U n s c al e d K r
S c al e d K r
© 2 0 1 0 - I F P T r a i n i n g
5 2
P-R e s e r v oi r S i m ul a t i on-Hi s t or yM a t c
h i n g-E .M .
S W
K R W
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P C
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l W a t er S a t .
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