Material Balance MSc 2 2013
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Transcript of Material Balance MSc 2 2013
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8/9/2019 Material Balance MSc 2 2013
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Material balance equations
Dr. Tibor Bdi
University of Miskolc
Petroleum and Natural Gas Institute
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ater Influ! Detection and
"eserves #stimation by MaterialBalance
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Methods to Detect Wter !nflu"
#s Reservoirs$ %ole method
Oil Reservoirs$ %mp&ell method
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$ole Plot% Material Balance #quation
for Gas "eservoirsProduction & #!'ansion ( ater influ!
wei
wi
fwiw
gigigwpgp BWppS
cScBBBOGIPBWBG +
+
+=+ )('
)(
Gas aterGas ca'
)#*+
"ock ( connate
,ater )#f,+ater
Influ!
#!'ansion )#t+
Gas "eservoir
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$ole Plot% Material Balance #quation
for Gas "eservoirs
Production & #!'ansion ( ater influ!
Gas "eservoir
ewt WBEOGIPF +=
t
ew
t E
WBOGIP
E
F +=
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$ole Plot% Material Balance #quation
for Gas "eservoirs
tE
F
pG
OGIP
We
Moderte
*tron+
Depletion drive
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$am'bell Plot% Material Balance
#quation for il "eservoirs
Production & #!'ansion ( ater influ!
wei
wi
fwiw
oi
gi
g
oigssioiowpgsppop BWppS
cScBm
B
BmBBRRBBOOIPBWBRNGBN +
+
++
++=++ )(
')'(')()()(
il Gas ater #o #* #f, ater
Influ!
#!'ansion )#t+
/aturated il "eservoir
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Production & #!'ansion ( ater influ!
$am'bell Plot% Material Balance
#quation for il "eservoirs
[ ] wefwgo BWEmmEEOOIPF ++++= )'(
/aturated il "eservoir
[ ] wet BWEOOIPF +=
t
we
t EBWOOIP
EF +=
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$am'bell Plot% Material Balance
#quation for il "eservoirs
tE
F
F
OOIP
We
Moderte
*tron+
Depletion drive
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Production & #!'ansion ( ater influ!
Material Balance #quation
)$onventional Notation+
[ ] wefwgo
BWEmmEEOOIPF ++++= )'(
/aturated il "eservoir
[ ] ++++= Dwfwgo pWUBEmmEEOOIPF )'(
iii UyOOIPxz +=
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0avlena1de2% Material Balance
#quation
iii UyOOIPxz +=
/aturated il "eservoir
i
i
i
i
x
yUOOIP
x
z+=
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0avlena1de2 Plot Material Balance
i
i
x
z
OOIP
i
i
x
y
, t+(,) = -
rD.
rD/
rD
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$riticism of t2e 0avlena 3 de2
Met2od% t2e Te2rani Met2od )4567+
!i88 9i : "elative error 2i*2 ;;;
#arly 4 i.e. early> uncertain 'oints 2ave 2i*2
,ei*2t>
yiinfluenced by early 'oints more> t2an later ones.
2y???
Division ,it2 !iintroduces artificial correlation;
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Te2rani@s $onclusions
T2e 0avlena1de2 of MB form s2ould be avoided
Best resolution is ,it2 ori*inal form> i.e.
9i& IP !i( U yi
Do NT smoot2 'ressure 2istory> discard 'ressure
'oints unless t2ere is a *ood reason for it.
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Production & #!'ansion ( ater influ!
Material Balance #quation
)$onventional Notation+
[ ] wefwgo BWEmmEEOOIPF ++++= )'(
/aturated il "eservoir
[ ] ++++= Dwfwgo pWUBEmmEEOOIPF )'(
iii UyOOIPxz +=
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/ills $A"#T Met2od )455+
epR
1
we2 cV1rch1- ==
wig
gi
pRS
BOGIPV
=
'
$A"#T& $ombined Aquifer "eservoir #!'ansion Term
=
R
A
wig
gie
h
h
S
Bc
OGIP
U
'
1
;;;; Must be
kno,n ;;
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/ills $A"#T Plot
F
CARE
E
, t+(,) = O#!57OO!5
rD.
rD/
rD
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*ills Method$ %onfirm O&tined
5rmeters with 23uifer Dt
1
we
Drc
=
2
D
h
-
=
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/ills Met2od% $onfirm btained
Parameters ,it2 Aquifer Data
2
D
h-=
1weD
rc
=
