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WELLCLEAN* Module
* Mark of Schlumberger
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Ranges For Flow
Laminar flow Turbulent flow
Fr
ictionPressure
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BinghamPlastic
Model
PowerLawModel
Newtonian
Model
Flow Rate Q
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V=0
V= ! Va"
Laminar Flow
Velocity Profile
(Sliding motion)
Turbulent Flow
Velocity Profile(Swirling motion)
Laminar and Turbulent Flow regimes are found anywhere (pipe, concentric or eccentric annuli)
Types of Flow
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Dimensionless number used to predit t!e "ow regime turbulent or
laminar
# For a Newtonian "uid of density "owing in a pipe of diameter D$
at an a%erage %eloity & 'Reynolds number Re(
# For non)Newtonian "uids$ formula an be adapted using t!e
apparent %isosity 'Reynolds number Re(
Turbulent "ow is a!ie%ed w!en Reeeeds a ritial Reynolds
number Re)
Calulated ritial "ow for turbulene may %ary aording to t!e
formulae used to alulate Ret!e de+nition of Re,-...$/01
RE2N3LD4 N5M6ER
VD
V#$
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T!e E7ets of Casing 4tando7
T!e effect of t!e "asing Standoff on t!e #nnular Flow is
$ualitati%ely e$ui%alent to t!e following flow &attern
Q
Q
D
'
V'
D
V
%
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Newtonian Laminar Flow
VL*"+T,
+
. /'V
D'
. /'V'
D''
V'
V . D
D''
if D'.'D V' . 0V
R,1*LDS
1234R Re .
V'D' .
V0 'D
. 5VD
Re' . 5 Re
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Newtonian Turbulent Flow
Velocity P.
L
.
if D'. 'D
Reynolds 1umber
V'D' (670V'D /6'5VDRe' . . .
8 8 8
V'. 670V(For 79:)
Re'. /6'5Re(For 79:)
0&'( !0&)! +0&! V((&)
#( (&
0&'( !0&)
! +0&
! V(&)
#(&
V(
V
.#(
#
0&)('
, -
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Newtonian Flow 8ossibilities
Lami
nar
Turbu
lent
Turb
ule
nt
+ncreasing
Flow
RateLa
mina
r
Turbulent
Lami
nar
Turbulent
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9n"uene of 8ipe Eentriity
Laminar
Turbulent
c
"oncentric Pi&es atcritical flow rate for
turbulence Qc
ccentric Pi&es atsame rate Q"
c . "ritical #ngle
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Corretion Table for Turbulent Flow
0 (0 0 .0 '0 0 /0 )0 0 10 (00
(0
1
)
/
'
.
(
F
L*;-R#T)R
#T+*
#P+ ST#1D*FF (:)
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Turbulent "ow of t!e pre"us!,es0 all round t!e
pipe1
T!roug!out t!e :one of interest$ ondition on
pre"us!,es0 satis+ed for ;. mins1 W!en using C!emial Was!$ %isosity is ta
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Turbulent 4reen
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Turbulent >rap!is
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E7et of 8ipe Eentriity
on 6ing!am 8lasti Fluid
Q
Q
D'
V'
D
V
% w'
D' < D
V' < V
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ELF Flow
Four riteria are assoiated wit! t!e laminar "ow
regime to impro%e t!e mud remo%al1
# Density !ierar!y1
# Flow all around t!e pipe Minimum 8ressure >radient1
# Frition)pressure !ierar!y1
# Di7erential %eloity riterion
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T!e density of t!e displaing "uid must be !ig!er
t!an t!e density of t!e displaed "uid
T!e Density)Di7erential Criterion
mud =
s&acer =
slurry
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T!e Minimum 8ressure >radient
,M8>0 Criterion
%
ldis%lacing2
y'
ST3 ,#04 #(-5 ,dis%laced 4 dis%lacing- g cos
Comparison of t!e wall s!ear stress on t!e narrow
side and t!e "uid yield stress to !e< t!e
possibility of "ow1
# is a funtion of stando71# does not apply to pipes perfetly entered1
# only applies to "uids wit! 2ield 8oints
# gi%es a lower limit for "ow rate1
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Frition 8ressure ?ierar!y
Criterion
# relati%ely flat and stable interface wit! no
&ossibility for t!e de%elo&ment of dis&lacement
instabilities6
T!e frition pressure generated by t!e displaing
"uid must be !ig!er t!an t!e pressure generated
by t!e displaed "uid1
p
ldis%lacing 2 (&
p
ldis%laced
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T!e Di7erential &eloity Criterion
&eri+ation t!at t!e interfae between t!e
displaing and displaed "uid does not rise faster
on t!e wide side t!an on t!e narrow side of t!e
asing# is a funtion of stando71
# does not apply to pipes perfetly entered1
# gi%es an upper limit for "ow rate
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Laminar 4reen
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Laminar >rap!is
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4ummary
Type of Flow
4lot Flow
Turbulent Flow
E7eti%e Laminar Flow