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TAMU - PemexWell Control
Lesson 7
Pore Pressure Prediction
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Contents
Porosity
Shale Compaction
Equivalent Depth MethodRatio Method
Drilling Rate
dC-Exponent
Moores Technique
Coms Method
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Pore pressure prediction
methods
Most pore pressure prediction
techniques rely on measured or in!erredporosity"
The shale compaction theory is the
asis !or these predictions"
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Pore pressure prediction methods
Measure the porosity indicator #e"g"density$ in normally pressured% clean
shales to estalish a normal trend line"
&hen the indicator suggests porosityvalues that are higher than the trend% then
anormal pressures are suspected to e
present"
The magnitude o! the deviation !rom the
normal trend line is used to quanti!y the
anormal pressure"
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2. Extrapolate
normal trend
line
1. Establish NormalTrend !ine in "ood
clean shale
Tra siti
Porosit# should
decrease $ith
depth in normall#
pressured shales
%. &etermine the
ma"nitude
o' the de(iation
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'lder shales have had
more time to compact%
so porosities (ould
tend to e lo(er #at a
particular depth$"
)se the trend line
closest to the transition"
*ines may or may note parallel"
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D
De
E)ui(alent &epth Method
The normally compacted
shale at depth Dehas the
same compaction as the
anormally pressured
shale at D" Thus%
V= Ve
i.e., ob- pp= obe- pne
pp
= pne
+ (ob
- obe
)
ob= V+ pp
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Example 2.*
Estimate the pore pressure at +,%,, i! the
equivalent depth is .%+,," The normal pore
pressure gradient is ,"/00 psi1!t" The
overurden gradient is +", psi1!t"
2t .%+,,% pne3 ,"/00 4 .%+,, 3 0%./, psig
2t .%+,,% oe3 +",, 4 .%+,, 3 .%+,, psig
2t +,%,,% o3 +",,4+,%,, 3 +,%,, psig
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+olution
pp3 pne5 #o- oe$ 66666" #"+0$ 3 0%./, 5 #+,%,, 7 .%+,,$
pp, /0/ psi"
The pressure gradient%
gp3 8%,/,1+,%,,3 ,"/./ psi1!t
EM& 3 ,"/./1,",8 , . pp"
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Xn
Xo
The atio Method
uses #9o19n$ to predict
the magnitude o! the
anormal pressure
&e can use:
;drilling rate
;resistivities
;conductivities
;sonic speeds
+hale Porosit 3ndicator
&epth
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Pore pressures can be
predicted4
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5e'ore drillin" the $ell
6plannin"7
=n!ormation !rom neary (ells
2nalogy to >no(n characteristics o! the
geologic asin
Seismic data
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Table 2.* 8 Cont9d
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+eismic +ur(e#s% as used in conventional geophysical
prospecting% can yield much in!ormation aout underground
structures% and depths to those structures" ?aults% diapirs% etc"
may indicate possile locations o! anormal pressures
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T#pical +eismic +ection
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)nder normal
compaction% density
increases (ithdepth" ?or this
reason the interval
velocity also
increases (ith
depth% so travel
time decreases
t = tma(1-) + tf
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+ound mo(es 'aster in
more dense medium
=n air at sea level%
@sound3 +%+,, !t1sec
=n distilled (ater%
@sound
3 /%A,, !t1sec
=n lo( density% high porosity
roc>s%
@sound3 A%,,,!t1sec
=n dense dolomites%
@sound3 ,%,,, !t1sec
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Example 2.:
)se the data in Tale "B to determine
the top o! the transition one% and
estimate the pore pressure at +.%,,,
using the equivalent depth method
using Pennea>ers empirical correlation
=gnore the data et(een .%,,, and++%,,," 2ssume Eatons ul! Coast
overurden gradient"
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+olution
Plot interval travel time vs" depth onsemilog paper #?ig" "0+$
Plot normal trend line using the A%,,,-.%,,, data"
?rom ?ig" ",% at +.%,,,% go3 ,"..8
psi1!t
#o$+.%,,,3 ,"..8 4 +.%,,, 3 +%.,8 psig
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Use
!no"e
E)ui(alent &epth
Method4
?rom the vertical line%De3 %,,,
oe3 ,"B8 4 %,,,
3+%B8, #?ig" ",$
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Penneba
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Comparison
Pore Pressure at a depth o' 1/// 't4
Pennea>er:
+%,8, psi or ,".8, psi1!t or +"0 ppg
Equivalent Depth Method:
+%,8 psi or ,".8 psi1!t or +"0 ppg
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?hile &rillin"
dc-exponent
M&D G *&D
Hic>s
'ther drilling rate !actors #Tale "8$
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TABLE 2.5 -
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Penetration rate and abnormal pressure
!aster than through normally pressured
roc> #i! everything else remains the
same$"
&hen drilling in clean shales this !act
can e utilied to detect the presence
o! anormal pressure% and even toestimate the ma"nitudeo! the
overpressure"
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Iote% that many !actors can in!luence the drilling rate%
and some o! these !actors are outside the control o!
the operator"
TABLE 2.8 -
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E''ect o' bit $ei"ht and h#draulics
on penetration rate
=nadequate
hydraulics or
excessive
imedding o!
the it teeth in
the roc>
Drilling rate
increases more
or less linearly
(ith increasing
it (eight"
2 signi!icantdeviation !rom
this trend may
e caused y
poor ottom
hole cleaning
/
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E''ect o' &i''erential Pressure on &rillin" ate
Di!!erentialpressure is the
di!!erence et(een
(ellore pressure
and pore !luidpressure
&ecrease can be due to4
;The chip hold do$n e''ect
;The e''ect o' $ellbore
pressure on roc< stren"th
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&rillin"
underbalanced
can !urther
increase the
drilling rate"
Th hi h ld d '' t
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The chip hold-do$n e''ect
The mud pressure
acting on the
ottom o! the hole
tends to hold the
roc> chips in
place
3mportant hold-do$n parameters4
'veralance Drilling !luid !iltration rate
Permeaility Method o! rea>ing roc> #shear or crushing$
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;Drilling rates are in!luenced y roc> strengths"
;'nly drilling rates in relatively clean shales are use!ul !or
predicting anormal pore pressures"
TABLE 2.9 -
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ois generallythe maximum in
situ principal
stress in
undistured roc>
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+tresses on +ubsur'ace oc
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+tresses on +ubsur'ace oc% and cannot de!orm
the roc>"
Mohr-Coulom ehavior is controlled ythe the e!!ective stresses #matrix$"
&hen drilling occurs the stresses
change"
ois replaced y dynamic drilling !luidpressure"
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The degree o!
overalance no(
controls the
strength o! the
roc> ahead o! the
it"
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oc< 'ailure caused b# roller cone bit.
The di!!erential pressure !rom aove provides
the normal stress% o
'o"mation f"a#t"e is "esiste b* te sea" st"ess, o,i# is a fn#tion of te "o# #oesion an te f"i#tion
beteen te pates. /is f"i#tion epens on o.
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>i". 2.01 - &i''erential Pressure /.1 in belo$ the bit.
&hen ois replaced y phyd#lo(er$ the roc> immediately elo( theit (ill undergo an increase in pore volume% associated (ith a
reduction in pore pressure"
=n sandstone this pressure is increased y !luid loss !rom the mud"
(n#e
iffe"entia
"ess"e in
mpe"meabe
"o#.
' t*)
@ertical +tress , 1//// psi
oriBontal +tress , :/// psi
Pore Pressure , 0:// psi?ellbore Pressure , 0:// psi
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&rillin" ate as a Pore
Pressure PredictorPenetration rate depends on a numer
o! di!!erent parameters"
R 3 H#P+$a+ #P-$a- #P0$a06 #Pn$an
2 modi!ied version o! this equation is:
d
bd
WNKR
= 3
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&rillin" ate as a Pore
Pressure Predictor
'r% in its most
used !orm:
iniamete",5it)
.bf,5it ei!+t
e7ponent))
"pm8
ft$+"9
10
12
.o!
60.o!
b
6
==
=
==
=
bd
W
N
R
d
d
bd
WNKR
= 3
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d-exponent
The d-exponent normalies R !or any
variations in &% dand I
)nder normal compaction% R shoulddecrease (ith depth" This (ould cause
d to increase (ith depth"
2ny deviation !rom the trend could e
caused y anormal pressure"
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d-exponent
Mud (eight also a!!ects R6""
2n adJustment to d may e made:
dc3 d #n1c$(here
dc3 exponent corrected !or mud density
n3 normal pore pressure gradient
c 3 e!!ective mud density in use
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Example
&hile drilling in a ul! Coast shale%
R 3 8, !t1hr
& 3 ,%,,, l!
I 3 +,, RPM
ECD 3 +,"+ ppg #Equivalent Circulating Density$
d3 "8 in
Calculate d and dc
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+olution
0/"+d
88/"+
,B."
8"4+,
,,,%,4+log
+,,4A,
8,log
d
A
=
=
=
bd
W
N
R
d
*1/
12lo"
*/lo"
c
n
c dd
+."+d
+"+,4,8",/A8",0/"+d
c
c
=
=
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Example 2.
Predict pore pressure at A%,8, !t #ppg$:
!rom data in Tale "+, using:
Rhem and McClendons correlation
Kamoras correlation
The equivalent depth method
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TA5!E 2.1/
d-E9P'IEIT2ID M)D
DEIS=TL D2T2
?'R 2 &E**
*'C2TED'??SF'RE
*')=S=2I2
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+tep 1 is to plot the
data on Cartesian
paper 6>i". 2.0%7.
Transition at /%B,, !t
6or is it a !ault
Seismic data and
geological indicators
suggest a possile
transition at 8%B,, !t"
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>i". 2.0%
ope of 0.000038 ft-1
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ehm and McClendon
gp3 ,"0. log #dcn-dco$ 5 ,"A
3 ,"0. log #+"+ - ,".8$ 5 ,"A"p, /.*/* psi't
p3 ,"A,A 1 ,",8 , 11.: pp"
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Damora
>rom >i". 2.00
gp3 gn#dcn1dco$
3 ,"/A8 4 #+"+1".8$
gp3 ,"8B psi1!t
p3 ,"8B1,",8
p, 11.1 pp"
1.180.95
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E)ui(alent
&epth Method
?rom ?ig" ",% at
A%,8, !t%
go3 ,".+8 psi1!t
o3 ,".+8 4 A%,8,3 8%80A psi
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E)ui(alent
&epth Method
?rom ?ig" "/0%
Equivalent Depth
3 B8, !t
2t B8, !t%
oe3 ,"A 4 B8,
3 A/8 psipne3 ,"/A8 4 B8,
3 0/. psig
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E)ui(alent &epth Method
?rom Eq" "+0% at A%,8, !t
pp3 pne5 #o- oe$
pp3 0/. 5 #8%80A - A/8$ 3 8%/, psigp3 +."8 4 #8%/, 1 A%,8,$ 3 +A"B ppg
Perhaps the equivalent depth method isnot al(ays suitale !or ppprediction
using dc NN
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'verlays such as this can e
handy% ut
e care!ul that the scale is
correct !or the graph paper
eing usedO
the slope is correct !ornormal trendsO
the correct overlay !or the
!ormation is utilied"
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To impro(e pore pressure predictions
usin" (ariations in drillin" rate4
Try to >eep it (eight and rpm relatively
constant (hen ma>ing measurements
)se do(nhole #M&D$ it (eights (hen
these are availale" #?rictional drag in
directional (ells can cause large errors$
2dd geological interpretation (hen
possile" M&D can help here also"
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3mpro(ed pore pressure
predictions
Heep in mind that tooth (ear can
greatly in!luence penetration rates"
)se common sense and engineering
Judgment"
)se several techniques and compare
results"
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Moores Technique
>i". 2.0
Moore proposed a practical
method !or maintaining a
pore-pressure overalance
(hile drilling into atransition"
Drilling parameters must e>ept constant !or this
technique to (or>"
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Comb9s Method
Coms attempted to improve on the
use o! drilling rate !or pore pressure y
correcting !or:
hydraulics
di!!erential pressure
it (ear
in addition to &% d% and I
C b9 M th d
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Comb9s Method
( ) ( )Id
a
n
aa
d t!p!dd.A
q-,,I
d8,,%0&RR
qI&
=
: = #i"#atin! "ate
n= iamete" of one bit no;;e
f(p) = fn#tion "eate to te iffe"entia p"ess"e
f(t) = fn#tion "eate to bit ea"
a= bit ei!t eponent = 1.0 fo" offso"e
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Tooth $ear 'actor
Correction(ould depend
upon it type%
roc> hardness%
and
arasiveness
&i''erential press re 'actor
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&i''erential pressure 'actor