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RhoVeTM
Method
(U.S. patent 2018)
A New Empirical Pore Pressure Transform
This presentation and all intellectual property discussed in this presentation are the property of GCS Solutions, Inc. and/or Matt Czerniak. GCS Solutions, Inc.
3
Temperature Bands (deg F)
50
100
150
200
250
300
350
400
Dutta-Wendt
Effective Stress vs Velocity by Temperature
after Alberty, SPE DL Series, 2004
Dutta 2002 TLE
Shallow
Deep
All
Smectite
All
Illite
after Dutta, 2002 TLE
Dutta
Dutta 2002 TLE
Shallow
Deep
All
Smectite
All
Illite
after Dutta, 2002 TLE
Dutta
Alberty
Alberty-McLean, OTC 2003
ILLITE
SMECTITE
after Alberty, SPE DL Series, 2004
Alberty-McLean, OTC 2003
ILLITE
SMECTITE
after Alberty, SPE DL Series, 2004
Temperature Bands (deg F)
50
100
150
200
250
300
350
400
Dutta-Wendt
Alberty
Alberty-McLean, OTC 2003
ILLITE
SMECTITE
after Alberty, SPE DL Series, 2004
Alberty
after Sargent et al., 2015
Sargent
MECHANICAL
COMPACTION
(effective stress)
Modified from University of OSLO Dept of Geosciences
ONGOING CHEMICAL
COMPACTION
CHEMICAL
COMPACTION
(temperature) 4+ km
95-120 Co
(200-250o F)
2-3 km
60-80 Co
(140-175o F)
dT.usec/ft
RHOB.G/C3
o F
o F
o F
o F
Bowers “slow” trend
plateau
RhoVeTM
Method
RhoVeTM
T
Thermodynamic Solutions
(executable)
Sonic, Density,
Acoustic Impedance
RhoVeTM
Auto
Compositional Changes
(executable)
1.00. 1.00.
1.00.
1.00.
v-rho v-z rho-z P-z
v-VES rho-VES
1.00.
RhoVE-S
RhoVE-ε
RhoVE-ε
RhoVE-S
RhoVE-ε
RhoVE-S
RhoVE-ε
RhoVE-S
RhoVE-ε
RhoVE-S
RhoVE-ε
Generalized
Display
1.0
0.
RhoVE-S
1.00.
0.
1.00.
v-rho rho-z P-z
v-VES
1.00.
rho-VES
a-term
1.0
a-term
v-rho
0.
1.0
v-z
α
0. 1.0
Generalized
Display
BOWERS GOM “Slow” Trend RhoVE-ε RhoVE-S
Vo: 4790 4800 4900
A: 2953 2000 4500
B: 3.57 4.2 3
ρo: 1.3 1.3 1.3
V-Rho equation (Bowers, OTC 2001) :
V = V0 + A (ρ - ρo) B
γ = 2.0
RhoVE-S
RhoVE-Ɛ
RhoVE interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
Bowers GOM “slow” trend
0.6
a-term
meters Ebrom & Heppard, 2010
0.37
0. 1.0
α : calculated property
α
1.00.
0.
1.00.
v-rho rho-z P-z
v-VES
1.00.
rho-VES
a-term
1.0
a-term
v-rho
0.
1.0
v-z
α
0. 1.0
v-z
Generalized
Display
Examples
0.0
0.56
0.75
1.08
0.99
RhoVe-S
a : fractional distance
a-term
0.3
Rhob Density
DTCO Sonic
0.0
0.56
0.75
1.08
0.99
a-term
0.3
DTCO Sonic
Rhob Density
0.56
0.0
a-term
0.3
Rhob Density
DTCO Sonic
0.750.75
0.56
0.0
a-term
0.4
DTCO Sonic
0.75
Rhob Density
0.56
0.0
a-term
0.6
DTCO Sonic
0.0
0.56
0.75
0.99
Rhob Density
a-term
0.7
DTCO Sonic
0.0
0.56
0.75
1.08
0.99
Rhob Density
a-term
BOWERS GOM “Slow” Trend RhoVE-ε RhoVE-S
Vo: 4790 4800 4900
A: 2953 2000 4500
B: 3.57 4.2 3
ρo: 1.3 1.3 1.3
V-Rho equation (Bowers, OTC 2001) :
V = V0 + A (ρ - ρo) B
γ = 2.0
DWGoM Sub-Regional Study
RhoVE interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
Bowers GOM “slow” trend
0.6
a = 2α – α2
plateau
plateau
BOWERS GOM “Slow” Trend RhoVE-ε RhoVE-S
Vo: 4790 4800 4900
A: 2953 2000 4500
B: 3.57 4.2 3
ρo: 1.3 1.3 1.3
V-Rho equation (Bowers, OTC 2001) :
V = V0 + A (ρ - ρo) B
γ = 2.0
(0.37,0.60)
DWGoM Sub-Regional Study
RhoVE interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
Bowers GOM “slow” trend
0.6
from Sargent et al., 2015
delimiter: “d”
a = 2α – α2
a <= d
plateau
BOWERS GOM “Slow” Trend RhoVE-ε RhoVE-S
Vo: 4790 4800 4900
A: 2953 2000 4500
B: 3.57 4.2 3
ρo: 1.3 1.3 1.3
V-Rho equation (Bowers, OTC 2001) :
V = V0 + A (ρ - ρo) B
γ = 2.0
RhoVE interm: f(α’) * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
(0.37,0.60)
Bowers GOM “slow” trend
0.6
from Sargent et al., 2015
a = γα – αγ
a <= d
a-term
f(α’)
delimiter: “d”
1.00.
rho-z
Genetically-Linked
v-z
α
1.00.
v-rho
a-term
1.00.
rho-z
Genetically-Linked
v-z
α
1.00.
a-term
v-rho
a-term
v-rho
1.00. 1.00.
v-rho v-z rho-z P-z
rho-VES
α
delimiter
v-rho
0.
1.0
α
0. 1.0
v-z
α'
a-term
Generalized
Display
v-VES
0. 1.0
rho-VES
0. 1.0
ESnorm
Genetically-Linked
ESnorm ESnorm
1.00. 1.00.
v-rho v-z rho-z P-z
rho-VES
α
delimiter
v-rho
0.
1.0
α
0. 1.0
v-z
α'
a-term
Generalized
Display
v-VES
0. 1.0 0.
compositional
changes
ongoing
chemical
compaction
ongoing
chemical
compaction
rho-VES
ongoing
chemical
compaction
1.0
33
σ
95o C
50o C
120o C
o F
o F
o F
o F
o F
o F
o F
o F
o F
o F
Power Law
α’ = k (To F – ΔƬ)b
34
σ
95o C
50o C
120o C
o F
o F
o F
o F
o F
o F
o F
o F
o F
o F
Temp oF vs Depth
Power Law
α’ = k (To F – ΔƬ)b
1.00.
0.
1.00.
v-rho v-z rho-z P-z
v-VES rho-VES
ESnormESnorm
α
1.0
α
0. 1.0
Genetically-Linked
v-z
α'
1.00.
o F
o Fo F
o F
o F
o F
o F
o F
a-term
v-rho
Generalized
Display
v-VES rho-VES
0.
1.0
36
σ
hottercolder
120o C
50o C o F
o F
o F
o F
o F
o F
o F
o F
o F
o F
95o C
Power Law
α’ = k (To F – ΔƬ)b
-55 -15 0 55 75
4
0
8
12
Tau vs. # wells
37
ShenandoahTiber
Rask 1997
PI526
SMI23-5
0.0
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
a-term
0.0
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
0.1
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.2
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.3
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.4
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.5
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.6
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.7
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.8
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
0.9
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
1.0
0.51
Bowers DW GoM (Default)
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
1.0
0.51
rhobdT
sonic
rhob
“d”=0.51
Delimiter
rhobdT
sonic
rhob
“d”=0.51
rhob
sonic
AI
0 degreesΔƬ:
rhobdT
sonic
rhob
“d”=0.51
rhob
sonic
AI
0 degreesΔƬ:
P3
P4
P1
P2
rhobdT
sonic
rhob
“d”=0.51
Delimiter
P3 P4
P1
P2
P3 P4
P1
P2
53
ShenandoahTiber
Keathley Canyon
Walker Ridge
Rask 1997
54
rhobdT
sonic
rhob
SALT
rhob
sonic
AI
-55 degrees FΔƬ:
55
rhobdT
rhob
SALT
0 degrees FΔƬ:
56
rhobdT
rhob
SALT
0 degrees FΔƬ:
57
sonic
rhob
SALT
rhobdT
0 degrees FΔƬ:
58
60
Backup Slides
SUMMARY DEMOS
 Convergent Mode
 Compositional Mode
0.51
0.51
0.00
P3
RhoVe interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
0.0
0.60
P3
RhoVe interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
0.0
0.60
P3
0.0
0.1
0.60
P3
0.2
0.60
P3
0.3
0.60
P3
0.4
0.60
P3
0.5
0.60
P3
0.6
0.60
P3
0.7
0.60
P3
0.8
0.60
P3
0.9
0.60
P3
1.0
0.60
P3
0.9
0.60
P3
0.8
0.60
P3
0.7
0.60
P3
0.6
0.60
P3
0.5
0.60
P3
0.4
0.60
P3
0.37
0.60
0.60
P3
SUMMARY DEMOS
 Convergent Mode
 Compositional Mode
0.51
0.51P3
0.0
RhoVe interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
0.60
P3
0.0
RhoVe interm: a * (RhoVE-Ɛ– RhoVE-S) + RhoVE-S
0.60
0.60
0.60
P3
a = 2α – α2
a <= df(α’)
(0.37,0.60)
delimiter: “d”
0.0
0.60
P3
0.1
0.60
P3
0.2
0.60
P3
0.3
0.60
P3
0.37
0.60
P3
Bowers GOM “slow” trend
Bowers DW GoM (Default)
0.37
0.60
P3
92
RhoVe versus Bowers
Bowers - 1995 SPE; 2001 OTC
V = V0 + A σ B
DWGOM
Vo
: 4930
A: 14.2
B: 0.724
94
A = 10.5
95
A = 12
96
A = 13.0
97
A = 14.2
98
A = 16.0
99
A = 16.0
100
A = 16.0
101
V = V0 + A σ B
DWGOM
Vo
: 4100 fps
A: 16.0
B: 0.724
Bowers A: 16.0
Vo: 4100 fps

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