Reservoir Geomechanics In situ stress and rock mechanics applied to reservoir processes Mark D. Zoback Pr
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Reservoir Geomechanics In situ stress and rock mechanics applied to reservoir processes Mark D. Zoback Professor of Geophysics
Week 1 – Lecture 2 The Tectonic Stress Field
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Outline Section 1 • Basic Definitions • Anderson’s Stress Classification Scheme • Stress Orientations Near Salt Domes Section 2 • Stress Magnitudes at Depth • HW -1 Calculating Sv Section 3 • Measuring In-Situ Stress • Regional Stress Patterns • Local Stress Perturbations Stanford|ONLINE gp202.class.stanford.edu
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Figure 1.1 – pg.6
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Components of a Geomechanical Model Principal Stresses at Depth Sv – Overburden SHmax – Maximum horizontal principal stress Shmin – Minimum horizontal principal stress
Sv
Additional Components of a Geomechanical Model
UCS Pp
Shmin Stanford|ONLINE gp202.class.stanford.edu
SHmax
Pp – Pore Pressure UCS – Rock Strength (from logs) Fractures and Faults (from Image Logs, Seismic, etc.) 4
Zoback and Zoback (1980, 1989) Stanford|ONLINE gp202.class.stanford.edu
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Generalized World Stress Map 180
270
0
90
180
70
70
35
35
0
0
SHmax in compressional domain
-35
-35
SHmax and Shmin in strike-slip domain Shmin in extensional domain
180
270
0
90
180 9-2
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Complex Stress State Surrounding Salt Domes
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Salt Bodies in the Gulf of Mexico
Figure 1.10a – pg.25 Stanford|ONLINE gp202.class.stanford.edu
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Schematic Stress Contours
Figure 1.10b – pg.25 Stanford|ONLINE gp202.class.stanford.edu
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Anderson Classification of Relative Stress Magnitudes Sv
Normal
SHmax
Shmin
b
Shmin SHmax a.
Strike-Slip
Sv > SHmax > Shmin Sv
Shmin
SHmax
Shmin SHmax > Sv > Shmin Sv Reverse
b.
Shmin
shmin Tectonic regimes are sv Normal in terms defined of the SHmax relationship between the vertical stress (Sv) X and two mutually perpendicular Strike-slip horizontal stresses SHmax (SHmax and Shmin) sHmax
SHmax Shmin c.
SHmax > Shmin > Sv
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Reverse Map View
sv Cross-section
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Relative Stress Magnitudes and Faulting Regimes
Regime/Stress
S1
S2
S3
Normal
Sv
SHmax
Shmin
Strike-Slip
SHmax
Sv
Shmin
Reverse
SHmax
Shmin
Sv
Table 1.1 – pg.8
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Anderson 1 – Faulting Styles Sv
Normal
SHmax
Shmin
b
Shmin
shmin
SHmax a.
Strike-Slip
Sv > SHmax > Shmin Sv
Normal SHmax
Shmin
X
SHmax
Shmin SHmax > Sv > Shmin Sv Reverse
sv
Strike-slip
b.
SHmax
Shmin
sHmax
SHmax Shmin c.
SHmax > Shmin > Sv
Reverse Map View
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sv Cross-section
Stereonet 12
Anderson 1 – Faulting Styles
Normal
Sv
SHmax
Shmin
b
Shmin
s Geologic Structures Reflect sEither Normal Sv > SHmax > Shmin a. Past Sor Current SStressS Fields (or Both) Strike-Slip but X S In This Class We are Almost Always S Strike-slip b. Going SHmax v > Shmin to> Sbe Interested in the Current Stress State
SHmax
hmin
v
v
hmin
Hmax
Shmin
SHmax
Hmax
hmin
Reverse
Sv
sHmax
SHmax Shmin c.
SHmax > Shmin > Sv
Reverse Map View
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sv Cross-section
Stereonet 13
Figures 5.1 a-d – pg.141 Stanford|ONLINE gp202.class.stanford.edu
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Limiting cases Radial Extension Sv >> Shmax = Shmin
Anderson’s Classification Normal faulting (NF) Sv > Shmax > Shmin
Intermediate cases Normal/Strike-Slip faulting Sv = Shmax > Shmin
Strike-slip faulting (SS) Shmax > Sv > Shmax
Strike-Slip/Reverse faulting Shmax > Sv = Shmin
Reverse faulting (RF) Shmax > Shmin > Sv Radial Compression Shmax =Shmin >> Sv
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Variations of Regional Stress Magnitudes
Hurd and Zoback (in press)
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Stress Orientations in North America
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Anderson 2 – Classification of Relative Stress 180
270
0
90
180
70
70
35
35
0
0
SHmax in compressional domain
-35
-35
SHmax and Shmin in strike-slip domain Shmin in extensional domain
180
270
0
90
180 9-2
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Outline Section 1 • Basic Definitions • Anderson’s Stress Classification Scheme • Stress Orientations Near Salt Domes Section 2 • Stress Magnitudes at Depth • HW -1 Calculating Sv Section 3 • Measuring In-Situ Stress • Regional Stress Patterns • Local Stress Perturbations Stanford|ONLINE gp202.class.stanford.edu
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Anderson 3 – Critically Stressed Faults As much of the crust is in a state of failure equilibrium, stress magnitudes can be estimated (Chapter 4)
Earthquakes Triggered by Reservoir Impoundment Stanford|ONLINE gp202.class.stanford.edu
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Limiting cases Radial Extension Sv >> Shmax = Shmin
Anderson’s Classification Normal faulting (NF) Sv > Shmax > Shmin
Intermediate cases Normal/Strike-Slip faulting Sv = Shmax > Shmin
Strike-slip faulting (SS) Shmax > Sv > Shmax
Strike-Slip/Reverse faulting Shmax > Sv = Shmin
Reverse faulting (RF) Shmax > Shmin > Sv Radial Compression Shmax =Shmin >> Sv
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Range of Stress Magnitudes at Depth Hydrostatic Pp
Figure 1.4 a,b,c – pg.13
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Range of Stress Magnitudes at Depth Overpressure at Depth
Figure 1.4 d,e,f – pg.13
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Calculating the Vertical Stress, Sv
SV(z) =
z -
ρ(z)gdz ~ ρgz
∫
0
Considering water depth in offshore areas
Sv(z) = ρwgzw +
∫
0
z ρ(z)gdz ~ ρwgzw + ρg(z-zw)
Equation (1.6) – pg. 9
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Visund Field, Northern North Sea
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Anderson Classification of Relative Stress Magnitudes Sv
Normal
b
Shmin SHmax a.
Strike-Slip
Sv > SHmax > Shmin Sv
Shmin
SHmax
Shmin
SHmax
Shmin
SHmax > Sv > Shmin Sv Reverse
b.
Shmin
SHmax
Hydraulic Fractures shmin Always Propagate sv Normal Perpendicular to the SHmax Least Principal Stress, S3 X In 1948, HF Strike-slip Orientations Were SHmax Hotly Debated, Were They Horizontal, s Vertical, Radial? Hmax
Shmin c.
SHmax > Shmin > Sv
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Reverse Map View
sv Cross-section
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S
Anderson Classification of Relative Stress Magnitudes Sv
Normal
b
Shmin SHmax a.
Strike-Slip
Sv > SHmax > Shmin Sv
Shmin
SHmax
Shmin
SHmax
Shmin
SHmax > Sv > Shmin Sv Reverse
b.
Shmin
Hydraulic Fractures shmin Always Propagate sv Normal Perpendicular to the SHmax Least Principal Stress, S3 X What Happens when SStrike-slip hmin ~ Sv? SHmax
(SS/RF Stress Field) sHmax
SHmax Shmin c.
SHmax > Shmin > Sv
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Reverse Map View
sv Cross-section
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S
Visund Field, Northern North Sea
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Determining Overburden Stress from Density
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Figure 1.3 – pg.11
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Outline Section 1 • Basic Definitions • Anderson’s Stress Classification Scheme • Stress Orientations Near Salt Domes Section 2 • Stress Magnitudes at Depth • HW -1 Calculating Sv Section 3 • Measuring In-Situ Stress • Regional Stress Patterns • Local Stress Perturbations Stanford|ONLINE gp202.class.stanford.edu
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Horizontal Principal Stress Measurement Stress Orientation Stress-induced wellbore breakouts (Ch. 6) Stress-induced tensile wall fractures (Ch. 6) Hydraulic fracture orientations (Ch. 6) Earthquake focal plane mechanisms (Ch. 5) Shear velocity anisotropy (Ch. 8) Relative Stress Magnitude Earthquake focal plane mechanisms (Ch. 5) Absolute Stress Magnitude Hydraulic fracturing/Leak-off tests (Ch. 7) Modeling stress-induced wellbore breakouts (Ch. 7, 8) Modeling stress-induced tensile wall fractures (Ch. 7, 8) Modeling breakout rotations due to slip on faults (Ch. 7)
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Table 1-2 p. 15
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Visund Field Orientations
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Stress Map of Northern North Sea
Figure 1.8 – pg.23
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Ice Retreat Model
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Modeled Shmin/Sv Compared to Observations
Figure 9.3 – pg. 272 Stanford|ONLINE gp202.class.stanford.edu
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Visund Field Orientations
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Modeled SHmax Directions Compared to Observations
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Seismotectonics of Northern S. America
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Stress State in Northern S. America
*Light blue arrow indicates relative motion of the Costa Rica-Panama block with respect to the central North Andean block
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Fig. 1.9 – p. 24
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Regional Stress in Western California
Fig. 6.8a,b p. 182 Stanford|ONLINE gp202.class.stanford.edu
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Stress Map of Southern San Joaquin
Figure 1.6 – pg.21
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Southern San Joaquin Valley
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Complex Stress Field in the Elk Hills Field
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Stress Orientation Rotation Near Fault at 3100 meters
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Modeling Fault-Induced Stress Perturbation at the Wellbore Wall
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Multi-Scale Stress Perturbations
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Figure 11.10 – pg. 359
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depth (m)
Fractal-like Stress Fluctuations
-90
S azimuth Hmax
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0
90
-90
0
90
-90
0
47
90