4. Wellbore Hydraulics, Pressure Drop Calculations
-
Upload
nikhil-shahane -
Category
Documents
-
view
219 -
download
0
description
Transcript of 4. Wellbore Hydraulics, Pressure Drop Calculations
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
1/85
1
PETE 661Drilling Engineering
Lesson 4
Wellbore Hydraulics,
Pressure Drop Calculations
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
2/85
2
Wellbore Hydraulics
Hydrostatics
Buoyancy
Pipe Tension vs. Depth Effect of Mud Pressure Laminar and Turbulent Flow
Pressure Drop alculations Bingham Plastic Model
API Power-Law Model
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
3/85
3
Assignments:
READ: ADE Ch 4
HW !": On the Web. - AxialTension
Due 09-20-04
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
4/85
4
)DD(052.0pp 1ii
n
1i
i0 =
+=
Fig. 4-3.
A Complex
Liquid
Column
D!"#.!p
pD!"#.!p !
=
+=
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
5/85
5Fig. 4-4. Viewing the Well as a Manometer (U-
PPUMP= ?
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
6/85
6
Figure 4.4
})000,10(0.9)000,1(7.16
)700,1(7.12)300(5.8)000,7(5.10{052.00
++++= ppa
psig00=p
psig266,1pa =
D!"#.!p =
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
7/85
7
Buoyancy Force = weight of fluid displaced$%rchimedes& #"! B'
Figure 4-9. Hydrauli !ores ating on a
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
8/85
8
Effectie !"uoyed# $eight
= sf
e ())
Buo!n" F!"#or
$!lid %or ! &olid 'od or !n open-ended pipe(
sf
f
be
)
*)
+*)
F))
=
== )e, buoyed wei-ht) , wei-ht in air
Fb, buoyancy force
+ , volume of body
f, fluid densitys, body density
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
9/85
)
E%ample
For steel,
immersed in md,
t!e "o#an$# %a$tor is&
-allbm.s 565='-allbm.$ f 015=
//(.!".0"
!.("((
s
f =
=
A drillstring weighs &''(''' l"s in air)
Buoyed weight = &''(''' * ')++& = ++(&'' l"s
$, 12! lbmft3'
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
10/85
1*
Axi!l For"e& in +rillring
F"= "it weight
F&, F& are pressure forces
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
11/85
11
imple E%ample - Empty $ell"ore
Drillpipe wei-ht , (2." lbfft (!&!!! ft
4D , ".!!! in
5D , 1.#/0 in
( )## 5D4D1
%
=
% , ".#0" in#
) , (2." lbfft 6 (!&!!! ft , (2"&!!! lbf
A.IAL /E0I10( l"f
2EP/3(
ft
' l"f &45(''' l"f
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
12/85
12
E%ample - &5 l"6gal Mud in $ell"ore
Drillpipe wei-ht , (2." lbfft (!&!!! ft
4D , ".!!! in
5D , 1.#/0 in
( )## 5D4D1
%
=
% , ".#0" in#
) , (2"&!!! * 1(&(!! , ("3&2!! lbf
A.IAL /E0I10( l"f
2EP/3
(ft
' (2"&!!! lbf
Pressure at bottom , !.!"# 6 (" 6 (!&!!! , /&7!! psiF , P 6 %
, /&7!! 6 ".#0"
, 1(&(!! lbf
&57(4''- 8&(&''
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
13/85
13
A%ial /ension in 2rill tring
E%ample % drill strin- consists of
(!&!!! ftof (2." 8ftdrillpipe and
0!! ftof (1/ 8ftdrill collarssuspended off bottom in ("8-almud
$Fb, bit wei-ht , !'.
)hat is the a9ial tension in the
drillstrin- as a function of depth:
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
14/85
14
E%ample
Pressure at top of collars
, !.!"# $("' (!&!!! , /&7!! psi
Pressure at bottom of collars, !.!"# $("' (!&0!! , 7 psi
9ross-sectional area of pipe(
#
#
#
3( in/3."
ft
in(116
ftlb12!
ftlb".(2% ==
A&
1)4**,
6**,
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
15/85
15
ross*sectional area of collars&
22 in2.'31'''90
1'7 ==
2
1
5377352'3 in...
%%areaalDifferenti #
===
A:
A1E%ample ; cont
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
16/85
16
(. %t (!&0!! ft.$bottom of drill collars'
ompressive force , p %
, 3"/!! lbf
; a9ial tension , * 3"/!! lbf ee %ppendi9 %'
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
42/85
42
:el ;#reng#
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
43/85
43
:el ;#reng#
s!ear stress at !i$! %lid moement "egins
+!e #ield strengt!, etrapolated %rom t!e 300
and 600 :readings is not a good representation o%
t!e gel strengt! o% t!e %lid
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
44/85
44
:el ;#reng#
n %ield nits,
5n practice& this is often appro9imated to
06.1g=2%t100/l"%
2%t100/l"%
+!e gel strengt! is t!e maimmdial reading!en t!e is$ometer is started at 3 rpm.
g= m!x/3
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
45/85
45
$elo"i# ro%ile&
l!min!r %lo
Fig) 8-:>) @elocity profiles for laminar flow
!a# pipe flow and !"# annular flow
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
46/85
46
It looGs liGe concentric rings of fluid
telescoping down the pipe at different elocitiesH
72 @iew of Laminar Flow in a pipe
- 0ewtonian Fluid
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
47/85
47
!'le 4.3 - ;umm!r o% 9qu!#ion& %or
o#!#ion!l $i&"ome#er
0e#oni!n odel
a
3!!=
r
!00."#
=
3!!a =
or
!'le 4 3 ;umm!r o% 9qu!#ion& %or
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
48/85
48
!'le 4.3 - ;umm!r o% 9qu!#ion& %or
o#!#ion!l $i&"ome#er
300
or
1p# 1
=
rpm3atmag
=
Bing!m l!i" odel
300600p = )(300
or
12
12
p =
p300# =
or
or
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
49/85
4)
9x!mple 4.22
>ompte t!e %ri$tional pressre loss %or a 7? 5?
annls, 10,000 %tlong, sing t!e slot %lo
representation in t!e annls. +!e %lo rate is 80
gal/min. +!e is$osit# is 15 $p. ssme t!e %lopattern is laminar.
+H 5H &H6
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
50/85
5*
9x!mple 4.22
+!e aerage elo$it# in t!e annls,
)52.''8(7
80
)d2.''8(d
@
222
1
2
2
A
=
=
%t/s1.362A
=
( ) 212
A
%
dd1000
B
dC
dp
=
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
51/85
51
9x!mple 4.22
( )51.0750psi51
)57(1000
)000,10()362.1()15(D
dC
dpp
2%
==
==
fp
( )#(#
H
f
dd(!!!
vI
dL
dp
=
/ l P P
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
52/85
52
/otal Pump Pressure
Pressure loss in surf) euipmentPressure loss in drill pipe
Pressure loss in drill collars
Pressure drop across the "it no??lesPressure loss in the annulus "etween the drill
collars and the hole wall
Pressure loss in the annulus "etween the drill
pipe and the hole wall
3ydrostatic pressure difference !aries#
/ f fl
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
53/85
53
/ypes of flow
L!min!r
Fig. '30. Caminar and tr"lent %lo patterns in a $ir$lar pipe& (a) laminar
%lo, (") transition "eteen laminar and tr"lent %lo and ($) tr"lent %lo
ur'ulen#
' l # Fl
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
54/85
54
ur'ulen# Flo -
0e#oni!n Fluid
-e o%ten assme t!at %lid %lo is
#ur'ulen# i% 0re < 21**
$p.%lid,o%is$osit#B
in.D.,piped%t/selo$it#,%lidag.
l"m/galdensit#,%lidE!ere
A
===
=
B
dE928
A
e =
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
55/85
55
/ur"ulent Flow -
0ewtonian Fluid
#".(
#".!
/".(/".!
f
d(7!!
v
dL
dp =
/ur"ulent Flow -
Bingham Plastic Fluid
#".(
#".!
p
/".(/".!
f
d(7!!
v
dL
dp =
( ) #".((#
#".!
p
/".(/".!
f
dd320&(
v
dL
dp
=
( ) #".((#
#".!
/".(/".!
f
dd320&(
v
dL
dp
=
In Annulus
In Pipe
%P5 P L M d l
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
56/85
56
%P5 Power Law Model
$onsisten$# inden %lo "e!aior inde
SHEARSTRESS
psi
= K n
SHEAR RATE, , sec-10
API P &72
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
57/85
57
@otatin- >leeve +iscometer
@I91ME/E
PM
3(!!
3!!
0!!
$@PM 6 (./!3'
3EA A/E
sec -&
".(((/!.3
"((
(!##
B1B
LEE@E
A00ULU
2ILL
/I0J
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
58/85
58
Pressure Drop alculations
E%amplealculate the pump pressure in thewellbore shown on the ne9t pa-e& usin- the %P5
method.
/he releant rotational iscometer readingsare as follows
@3 , 3 $at 3 @PM'
@(!!, #! $at (!! @PM'
@3!!, 32 $at 3!! @PM'
@0!!, 0" $at 0!! @PM'
P DP
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
59/85
5)
PPUMP , P2P = P29
= PBI/ 01KKLE
= P296A00 = P2P6A00
= P32
# , #7! -almin
, (#." lb-al
Pressure Drop
alculations
P"UM"
P D 5 D ill Pi 12 = 8 5 in
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
60/85
6*
Power-Law 9onstant $n%:
Pressure Drop 5n Drill Pipe
Fluid 9onsistency Inde% $&%:
Aerage BulG @elocity in Pipe $'%:
12 = 8)5 in
I2 = 7)+ in
L = &&(8'' ft
/3/.!32
0"lo-3#.3
@
@lo-3#.3n
3!!
0!! =
=
=
2737.0
600 se$017.2022,1
6511.5
022,1
11.5
cm
dyneRK
n
n ===
sec
ft!!.7
/7.3
#7!61!7.!
D
J1!7.!+
## ===
P D 5 D ill Pi #$ % 4 &
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
61/85
61
Effectie @iscosity in Pipe $ e%:
Pressure Drop 5n Drill Pipe
eynolds 0um"er in Pipe $(Re%:
#$ % 4.&in'$ % .*
in+ % ,,4!t
n(n
en1
(n3
D
+20K(!!
+
=
cP"3/3/.!61
(/3/.!63
/7.3
7620!(/.#6(!!
/3/.!(/3/.!
e =
+
=
0(0&0"3
".(#6!!.76/7.362#7+D2#7
e
@e ==
=
P D 5 D ill Pi #$ % 4 &
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
62/85
62
()*E: (Re+ ,-.., soFriction Factor in Pipe $/%:
Pressure Drop 5n Drill Pipe #$ % 4.&in '$ %.* in
+ % ,,4!t
/o
b
@eaf =
!/"2.!"!
23.3/3/.!lo-
"!
23.3nlo-
a =+
=
+
=
#02!.!/
/3/.!lo-/".(
/
nlo-/".(b =
=
=
!!/(#0.!0(0&0
!/"2.!
af
#02!.!b
@e
===
P D 5 D ill Pi #$ % 4.&
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
63/85
63
Friction Pressure Jradient $dP0dL%:
Pressure Drop 5n Drill Pipe #$ % 4.&in '$ %.* in
+ % ,,4!t
Friction Pressure 2rop in 2rill Pipe:
1!!&((6!"73/.!LdL
dP
P =
=
"d0% 11&
0si
ft
psi!"73/.!
/7.367(.#"
".(#676!!/(#0.!
D7(.#"
+f
dL
dP ##
==
=
P D 5 D ill ll #$ % 1.&
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
64/85
64
Power-Law 9onstant $n%:
Pressure Drop 5n Drill ollars
Fluid 9onsistency Inde% $&%:
Aerage BulG @elocity inside 2rill 9ollars $'%:
#$ % 1.&in '$ %2.& in
+ % 1!t/3/.!
32
0"lo-3#.3
@
@lo-3#.3n
3!!
0!! =
=
=
#
n
/3/.!n
0!!
cm
secdyne!(/.#
!##&(
0"6((."
!##&(
@((."K ===
sec
ft#7.(7
".#
#7!61!7.!
D
J1!7.!+
## ===
#$ % 1.&P D 5 D ill ll
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
65/85
65
Effectie @iscosity in 9ollars$ e%:
eynolds 0um"er in 9ollars $(Re%:
#$ 1.&in '$ %2.& in
+ % 1!t
Pressure Drop 5n Drill ollars
n(n
en1
(n3
D
+20K(!!
+
=
cP#(.37/3/.!61
(/3/.!63
".#
#7.(7620!(/.#6(!!
/3/.!(/3/.!
e =
+
=
7/!&(3#(.37
".(#6#7.(76".#62#7+D2#7
e
@e ==
=
#$ % 1.&P D 5 D ill ll
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
66/85
66
#$ 1.&in '$ %2.& in
+ % 1!t
Pressure Drop 5n Drill ollars
()*E: (Re+ ,-.., soFriction Factor in 29 $/%: b@eaf =
/o
!/"2.!"!
23.3/3/.!lo-
"!
23.3nlo-
a =
+
=
+
=
#02!.!/
/3/.!lo-/".(
/
nlo-/".(b =
=
=
!!"71!.!7/!&(3
!/"2.!
af
#02!.!b
@e
===
#$ % 1.&P D 5 D ill ll
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
67/85
67
Friction Pressure Jradient $dP0dL%:
Friction Pressure 2rop in 2rill 9ollars:
#$ 1.&in '$ %2.& in
+ % 1!t
Pressure Drop 5n Drill ollars
ft
psi3/7!.!
".#67(.#"
".(#6#7.(76!!"71!.!
D7(.#"
+f
dL
dP ##
==
=
0!!63/7!.!LdL
dPP
=
=
"d% 22
0si
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
68/85
68
Pressure Drop across oles
$3,% ,, 2nds
(in) $32% ,,
2nds (in) $3%
,2 2nds (in)
( )#####
(#((((
#7!6".(#6("0P
++=
"3oles% ,21
0si
( )##3###
(
#
DDD
J("0P
++
=
Pressure Drop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
69/85
6)
Pressure Drop
in DH4LE
%nnulus
$H#+5 % *.&in#$$6 % 1.&
in
+ % 1
Q = 280 gal/min
= 12.5 lb/gal*.&in
$ % * &Pressure Drop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
70/85
7*
Power-Law 9onstant $n%:
Fluid 9onsistency Inde% $&%:
Aerage BulG @elocity in 29631LE Annulus $'%:
$H#+5 % *.&
in#$$6 % 1.&
in+ %1 !t
Pressure Drop
in DH4LE %nnulus
"1(3.!3
#!lo-0"/.!
@
@lo-0"/.!n
3
(!! =
=
=
#
n
"1(3.!n
(!!
cm
secdyne330.0
#.(/!
#!6((."
#.(/!
@((."K ===
sec
ft7!7.3
".0".7
#7!61!7.!
DD
J1!7.!+
###
(
#
#
=
=
=
$ % * &
Pressure Drop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
71/85
71
Effectie @iscosity in Annulus $ e%:
eynolds 0um"er in Annulus $(Re%:
$H#+5 % *.&
in#$$6 % 1.&
in+ %1 !t
cP#!."""1(3.!63
("1(3.!6#
".0".7
7!7.36(11330.06(!!
"1(3.!("1(3.!
e =
+
=
( ) ( )0!!&(
#!.""
".(#67!7.36".0".72#7+DD2#7
e
(#
@e =
=
=
n(n
(#
en3
(n#
DD
+(11K(!!
+
=
Pressure Drop
in DH4LE %nnulus
$ # % *.&
Pressure Drop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
72/85
72
/o
$H#+5 % *.&
in#$$6 % 1.&
in+ %1 !t
()*E: (Re1 ,-..Friction Factor in Annulus $/%:
!("!!.!0!!&(
#1
#1f
@e
===
( ) ( ) ftpsi
!"#00.!".0".77(.#"
".(#67!7.36!("!!.!
DD7(.#"
+f
dL
dP #
(#
#
=
=
=
0!!6!"#00.!LdLdPP ==
"d7hole% ,.1
0si
Pressure Drop
in DH4LE %nnulus
Pressure 2rop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
73/85
73
q = 280 gal/min
= 12.5 lb/gal
Pressure 2rop
in 2P631LE Annulus
$H#+5 % *.& in
#$$" % 4.& in
+ %,,4 !t
Pressure 2rop $H#+5 % *.& in
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
74/85
74
Power-Law 9onstant $n%:
Fluid 9onsistency Inde% $&%:
Aerage BulG @elocity in Annulus $'a%:
Pressure 2rop
in 2P631LE Annulus
H#+5
#$$" % 4.& in
+ %,,4 !t
"1(3.!3
#!lo-0"/.!
@
@lo-0"/.!n
3
(!! =
=
=
#
n
"1(3.!n
(!!
cm
secdyne330.0
#.(/!
#!6((."
#.(/!
@((."K ===
sec
ft(2/.#
".1".7
#7!61!7.!
DD
J1!7.!+
###
(
#
#
=
=
=
Pressure 2rop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
75/85
75
Effectie @iscosity in Annulus $ e%:
eynolds 0um"er in Annulus $(Re%:
p
in 2P631LE Annulus
n(n
(#
en3
(n#
DD
+(11K(!!
+
=
cP01.2/"1(3.!63
("1(3.!6#
".1".7
(2/.#6(11330.06(!!
"1(3.!("1(3.!
e =
+
=
( ) ( )!11&(
01.2/
".(#6(2/.#6".1".72#7+DD2#7
e
(#
@e =
=
=
Pressure 2rop
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
76/85
76
/o 0si
Pressure 2rop
in 2P631LE Annulus
()*E: (Re1 ,-..Friction Factor in Annulus $/%:
!##22.!!11&(
#1
#1f
@e
===
( ) ( ) ftpsi
!(313.!".1".77(.#"
".(#6(2/.#6!##22.!
DD7(.#"
+f
dL
dP #
(#
#
=
=
=
1!!&((6!(313.!LdLdPP ==
"d07hole% ,&.2 0si
P 2 9 l
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
77/85
77
Pressure 2rop 9alcs)
- UMMA -
PPUMP , P2P = P29 = PBI/ 01KKLE
= P296A00 = P2P6A00 = P32
PPUMP , 00" = ##/ = (&!#0
= 3# = ("3 = !
PPUMP = &(4& &5 = :(&'7 psi
P"UM" = P$/ + P33 + PH8$
:(&'7 psi
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
78/85
78
PPUMP = &(4& &5
= :(&'7 psi
PH8$, !
P"UM" = P$/ + P33 + PH8$
P$/ = P$" + P$6 + P:'T 3#;;+5/
, 00" = ##/ = (&!#0 , (&2(7
psiP33= P$6733 + P$"733
, 3# = ("3 , (7"
P
='
NFrictionN Pressures
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
79/85
7)
!
"!!
(&!!!
(&"!!
#&!!!
#&"!!
! "&!!! (!&!!! ("&!!! #!&!!! #"&!!!
9umulatie 2istance from -tandpipe( ft
N
FrictionNPressure(psi
2ILLPIPE
2ILL 91LLA
BI/ 01KKLE
A00ULU
3ydrostatic Pressures in the $ell"ore
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
80/85
8*
y
!(&!!!
#&!!!
3&!!!
1&!!!
"&!!!
0&!!!
/&!!!
7&!!!
2&!!!
! "&!!! (!&!!! ("&!!! #!&!!! #"&!!!
9umulatie 2istance from -tandpipe( ft
3
ydrostaticPre
ssure(psi
B3P
2ILL/I0J A00ULU
Pressures in the $ell"ore
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
81/85
81
!(&!!!
#&!!!
3&!!!
1&!!!"&!!!
0&!!!
/&!!!
7&!!!2&!!!
(!&!!!
! "&!!! (!&!!! ("&!!! #!&!!! #"&!!!
9umulatie 2istance from -tandpipe( ft
Pressure
s(psi
/A/I9
9I9ULA/I0J
$ell"ore Pressure Profile
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
82/85
82
!
#&!!!
1&!!!
0&!!!
7&!!!
(!&!!!
(#&!!!
(1&!!!
! #&!!! 1&!!! 0&!!! 7&!!! (!&!!!
Pressure( psi
2ept
h(
f
2ILL/I0J
A00ULU
$>tatic'
BI/
Pipe Flow Laminar
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
83/85
83
Pipe Flow * Laminar
5n the above e9ample the flow down thedrillpipe was turbulent.
Gnder conditions of very hi-h viscosity&
the flow may very well be laminar.
()*E: i/ (Re1 ,-.., then
Friction Factor in Pipe $/%:
@e
(0f =
D7(.#"
+f
dL
dP #
=
Then and
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
84/85
84
-
7/18/2019 4. Wellbore Hydraulics, Pressure Drop Calculations
85/85
vfdpH
#
n = 1.*