the distribution of a hydrocarbon system
DESCRIPTION
The Distribution of a Hydrocarbon System. K.Potsch, C.Zach, OMV E&P. IEA Workshop and Symposium 2009 Canberra, 21.09.2014. Overview. Problem: How to discribe the „Plus-Fraction“ of a hydrocarbon system Medium and long distributions Chromatograms - PowerPoint PPT PresentationTRANSCRIPT
OMV Exploration & Production
Move & More.
The Distribution of a Hydrocarbon System
IEA Workshop and Symposium 2009Canberra, 04/21/23
K.Potsch, C.Zach, OMV E&P
2 |OMV E&P, Klaus Potsch, 21. April 2023
Overview
Problem: How to discribe the „Plus-Fraction“ of a hydrocarbon system
Medium and long distributions Chromatograms Mathematical treatment of distributions Various examples Way ahead, summary
3 |OMV E&P, Klaus Potsch, 21. April 2023
Problem = Plus-Fraction
Plus-Fraction = last component
1.E-01
1.E+00
1.E+01
0 5 10 15 20 25 30 35 40 45
single carbon number
mo
lar
per
cen
tag
e
4 |OMV E&P, Klaus Potsch, 21. April 2023
Problem = Plus-Fraction
Plus-Fraction = last component, long distributions
1.E-03
1.E-02
1.E-01
1.E+00
1.E+01
0 20 40 60 80 100 120
single carbon number
mo
lar
per
cen
tag
e
5 |OMV E&P, Klaus Potsch, 21. April 2023
Chromatograms
How to get the scn-distribution
0 5 10 15 20 25 30 35 40 45 50
minutes
arb
itra
ry u
nits
6 |OMV E&P, Klaus Potsch, 21. April 2023
Chromatograms
Tail end
45 46 47 48 49 50 51
minutes
arbi
trar
y un
its
7 |OMV E&P, Klaus Potsch, 21. April 2023
Analytical method
2 GC runs, bridging compound = n-alkane between C10 and C15.
Lower boiling components: Agilent 6890 GC + HP ChemStation fused silica capillary column (CP Sil
8.25m x 0.32mm, 0.25µm) carrier gas = Hehigh molecular weight compounds (up
to C120) with HTGC Agilent 6890 GC + AC SimDis
Software Column HP-1 (5m x 0.53mm,
0.09µm film thickness) + programmable temperature vaporizer (PTV injector).
Samples diluted in carbon disulfide.
-50
0
50
100
150
200
250
300
350
400
450
500
0 10 20 30 40 50 60
time [min]
tem
per
atu
re [
C]
NTGC
HTGC
8 |OMV E&P, Klaus Potsch, 21. April 2023
Mathematical treatment of distributions
-function [Whitson]
7
/exp1
CM
MMMp
0
0
1
0
7
7
exp
MM
MMt
ttMM
Mp
C
C
Simpler form (x=snc)
01
01 ,expxx
xxtttCxp
9 |OMV E&P, Klaus Potsch, 21. April 2023
-function [Whitson]
0.01
0.1
1
0 0.5 1 1.5 2 2.5 3
t
Gam
ma
alpha=0.5
alpha=1.0
alpha=2.0
10 |OMV E&P, Klaus Potsch, 21. April 2023
-function [Whitson], sample #1: gasoil
0
2
4
6
8
10
12
14
5 10 15 20 25 30
single carbon number (scn)
perc
enta
ge
-16
-14
-12
-10
-8
-6
-4
-2
0
2
4
ln(p
erce
ntag
e)
data
Gamma
ln(data)
ln(Gamma)
11 |OMV E&P, Klaus Potsch, 21. April 2023
-function [Whitson], sample # 2: VB-oil
0
1
2
3
4
5
6
7
8
5 10 15 20 25 30 35 40
single carbon number (SCN)
per
cen
tag
e
y=data
Gamma pdf
12 |OMV E&P, Klaus Potsch, 21. April 2023
Mathematical treatment of distributions
Gaussian log-normal distribution
2
maxlnln
2
1exp
d
xxCxp
0
1
-4 -3 -2 -1 0 1 2 3 4
normal pdf
log-normal pdf
d
y=0.6065
13 |OMV E&P, Klaus Potsch, 21. April 2023
Sample # 3: VB lean gas condensate
-4
-3
-2
-1
0
1
2
3
4
5 7 9 11 13 15 17 19 21 23 25
single carbon number (SCN)
ln(p
erce
nta
ge)
y=data
Gamma pdf
Gln pdf
14 |OMV E&P, Klaus Potsch, 21. April 2023
Mathematical treatment of distributions
Multiple Gaussian log-normal distribution
i i
ii d
xxCxp
2
max,lnln
2
1exp
15 |OMV E&P, Klaus Potsch, 21. April 2023
Sample #4: VB light oil
0
2
4
6
8
10
12
14
16
5 7 9 11 13 15 17 19
single carbon number (SCN)
per
cen
tag
e
y=data
sum
main peak
lower peak
upper peak
16 |OMV E&P, Klaus Potsch, 21. April 2023
Sample #5: VB oil
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0 10 20 30 40 50 60 70 80 90 100
SCN
ln H
CD
data
17 |OMV E&P, Klaus Potsch, 21. April 2023
Individual HCD functions
Turned hyperbola, 3 constant equation
maxmax
ln,lnHCD
HCDy
SCN
SCNx
11 2
322132154 xaaaxaaaaay
.
.1
,1 2
542
12
11
a
aa
a
aa
18 |OMV E&P, Klaus Potsch, 21. April 2023
Sample #5: VB oil
-6.0
-5.0
-4.0
-3.0
-2.0
-1.0
0.0
0 10 20 30 40 50 60 70 80 90 100
SCN
ln H
CD data
hyperbolic
Gauss log-normal
Gamma
19 |OMV E&P, Klaus Potsch, 21. April 2023
Sample #6: VB oil, (large reservoir)
-8
-7
-6
-5
-4
-3
-2
-1
0
1
0 10 20 30 40 50 60 70 80 90 100 110 120
single carbon number
ln (
per
cen
tag
e)
data
20 |OMV E&P, Klaus Potsch, 21. April 2023
Individual HCD functions
Another 3-constant function, exponential type
maxmax
332
23321
ln,
expexp1
lnexp1
data
datay
SCN
SCNx
xCCCx
CCCCCy
rr
21 |OMV E&P, Klaus Potsch, 21. April 2023
Sample #6: VB oil, (large reservoir)
-8
-7
-6
-5
-4
-3
-2
-1
0
1
0 10 20 30 40 50 60 70 80 90 100 110 120
single carbon number
ln (
per
cen
tag
e)
data
fit
Gauss log-normal
Gamma
22 |OMV E&P, Klaus Potsch, 21. April 2023
Application
Extend the distribution to fulfill
x
dxxp1
1)(
Find functions for and M
Calculate the pseudo porperties
,),()(1
x
l dxCxxp
x
Ml dxCxMxpM1
),()(
23 |OMV E&P, Klaus Potsch, 21. April 2023
The End
Questions?