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Well Inflow Performance
HORIZONTAL WELLS
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INFLOW PERFORMANCE IN HORIZONTAL WELLS
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APLICATION OF HORIZONTAL WELLS
EXPLOITATION OF THIN GAS AND OIL SANDS
REDUCE WATER OR GAS CONING
INTERCEPT NATURAL FRACTURES
IMPROVE HEAVY OIL RECOVERY (EG. SAGD)
Kv>>>Kh
INCREASE SWEEP EFFICIENCY IN SECONDARY OILRECOVERY PROJECTS
CONECT DISCONTINUOUS ZONES
DRILL GEOLOGICALLY OPTIMIZED WELLS
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METHODS TO DETETRMINE IPR IN HORIZONTAL WELLS
M !h"# !$% & M' "&
*'+$ 'v G$,"+-R"$ -J' + / J' h$ R"/ + -D 0 1 * 2 U/3"+$% & S$# & !$'/
E#0$+$% & C'++"& !$'/
*"/ 4h&$ 1 A5$5 F"!4'v$%h Ch"/,
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Drainage Area of a Horizontal WellMETHOD 1 ( OSHI!
A) L'/,$! $/ & V$"6
Lh
4v
4h
2
72
L
*) P& /! V$"6
A""#$%tion& T'e rainagearea i" re%re"ente )* t+o
'alf ,ir,le" in ea,' en oft'e 'orizontal "e,tion +'i,' ra i#" i" )(e-#i.alent to t'e ra i#" ofa .erti,al +ell/ r e. ! %l#" are,tangle +it' i$en"ion"L0 )2
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2
72
L
P& /! V$"6
A& Drainage area/ A,re"L& Lengt' of Horizontal "e,tion/ feet
)& 'alf $inor a0e of an elli%"e/ feet
A1 = b 2/2 A3 = b 2/2A2 = L (2b)
Drainage Area of a Horizontal WellMETHOD 1 ( OSHI!
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A& Drainage Area/ A,re"L& Lengt' of Horizontal "e,tion/ feet
)& Half $inor a0e of an elli%"e/ feet
A& Half $a3or a0e of an elli%"e/ feet
) 4 r e. 4 rainage ra i#" of a .erti,al +ell/ feet
P& /! V$"6
L
b
a b
Drainage Area of a Horizontal WellMETHOD ( OSHI!
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Drainage Area Co$%ari"on )et+een )ot' Met'o "
Both methods give different results forthe drainage area, therefore, Joshisuggests to take an average of both
values.
2
72
L
L
b
a
(1) (2)
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E567ALENT DRAINA8E RADI6S FOR A HORIZONTAL WELL
A& Drainage Area/ A,re"
r eh : Horizontal rainage ra i#"/ feet
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E!am"le
A 48#$acre lea%e &% 'o (e )e*elo"e) (+ ,%&n- .2 *er'&cal well%/ A%%,m&n- '0a' eac*er'&cal well wo,l) effec'&*el+ )ra&n 4# acre%1 calc,la'e '0e "o%%&(le n,m(er of e&'0.1###$ or 21###$f'$lon- 0or& on'al well% '0a' w&ll )ra&n '0e lea%e effec'&*el+/
.#
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IPR in Horizontal +ell"OSHI
DRAINAGE PATTERN OF AHORIZONTAL WELL AFTER JOSHI
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A #0!$'/ 8 S!" 1 F&'6 / I '!+'0$% R" "+v'$+ ( ( )
Wh"+"
/
IPR in Horizontal +ell"OSHI
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T' ! 4" $/!' %%' /! !h" +" "+v'$+ A/$ '!+'01
6h"+"
/
IPR in Horizontal +ell"OSHI
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9A96:ODEH METHOD
Problem was analy ed in the same way as a verti!al well with "artial "enetration,assuming "seudosteady state flow.
( ) ( )
( ) ( ) R H w yoo z y x
h
S C r h L
Bk k L PI
++=
75.0lnln
00708.0 J
h
C H #ha"e fa!tor whi!h de"ends on the "osition of the well in the reservoir
S R #kin fa!tor due to "artial "enetration
IPR in Horizontal +ell"
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C'++"& !$'/ 9'+ C H % &% & !$'/
( )
088.1ln5.0180sinln
3
128.6ln
2
+=
y
z ywo
y
w
y
w
y
z y H
k k
h
L
h z
L
y
L
y
k
k
h
LC
9A96:ODEH METHOD
IPR in Horizontal +ell"
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E0er,i"e
A horizontal well with 2000 feet of horizontalsection drains an estimated area of 120 AcresThe resevoir has the following data:
Calculate the oil production using Joshismethod
sol
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F'+# !$'/ # ," $/ h'+$5'/! & 6"&&(E%'/'#$ " )
I ani
( ) s k
k I ar
ar
eq
s ani
H
vw
H
vw
=
+
+ +
ln
,max ,max11
43
12
2$ .
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E#0$+$% & C'++"& !$'/
*"/ 4h&$ 1 A5$5 F"!4'v$%h Ch"/,
IPR in Horizontal +ell"
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: P69 P69 ; < = V ( ) - (
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: ' ; C(P+ 7 = P69 7) /
FET;O7ICH
IPR in Horizontal +ell"
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CHEN8
(Pr$Pb)
IPR in Horizontal +ell"
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Performance Im"ro*emen' ac'or PI
h
v
vert
hor
vert
hor
k
k
L
L
PI
PI PIF =
where%
PI Productivity Index
Lh'+ Net pay zone of horizontal sectionLv"+! Net pay zone of vertical sectionKv Vertical PermeabilityKh Horizontal Permeability