english grammar
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DOE - Enhanced Geothermal Systems
Program Review
Experimental and Analytical Research on Fracture Processes in Rock
Herbert H. EinsteinMassachusetts Institute of Technology
Phone: 617-253-3598 Fax:617-253-6044
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Project Objectives
Addresses GTP areas of interest
No. 3: Fracture Formation and Growth
and
No. 4: Fracture Evaluation
through
Laboratory experimental and analytical work to
• Understand fracture propagation and interaction • Create basis for methods allowing one to indirectly infer fracture mechanisms in
the field.
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EGS Problem
Importance: Fracture processes are central to much of geothermal energy extraction
Technical issues: Propagation and coalescence of fractures are only partially understood, both under ambient temperature and under elevated (up to 150° C) temperature.
Addresses EGS Technical Challenge: High-temperature rock usually is not extensively fractured. Effective geothermal energy extraction requires fractured rocks. The process of fracturing needs to be understood (effect of lithology, stress conditions, temperature, etc.)
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Project - Approach Tasks
Task 1. Testing of different rock types and fracture geometries under different, mostly biaxial stress fields under ambient temperatures.
Task 2. Conducting experiments like Task 1 but at elevated temperatures.
Task 3. Extension of crack (fracture) initiation-, propagation- and coalescence criterion and incorporation in numerical models.
Task 4. Initial steps toward modelling larger/smaller scale fractures.
Task 5. Reporting and suggestions for further research.
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Experimental Work
s
flaw angle,b
Internal flaw tip
External flaw tip
flaw angle,b
2a = 12.7 mm
2a = 12.7 mm
ligament angle,a ligament length
Internal flaw tip
c
s v
26 - 31 mm.
152.4 mm. Initial flaws
s h s h
External flaw tip
76.2 mm. s v(a)
(b)
Geometries of (Model) Rock Specimens. (a) Overall View. (b) Detail
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Experimental Work - Summary of Past Results
Type Schematic path of Coalescence
Mode of Coalescence Type Schematic path of
Coalescence Mode of
Coalescence
I Shearing V Shearing + tension
II Shearing+ tension VI
Shearing+ tension
III Shearing + tension VII Shearing
+ tension
IV Tension VIII Shearing
Types of Coalescence Patterns in Uniaxial Compression
Based on Past Work
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Experimental Work – Recent Results Single Flaw
gypsum
marble
Flaw Inclination = 45o
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Experimental Work – Recent Results Double Flaws
Gypsum – Coplanar
Flaw Inclination = 75o
Gypsum – Stepped
Flaw Inclination = 30o
Bridging Angle = 60o
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Experimental Work – Recent Results Double Flaws
Marble – Coplanar
Flaw Inclination = 30o
Marble – Stepped
Flaw Inclination = 30o
Bridging Angle = 60o
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Analytical Work - Crack Initiation and Propagation Criterion
Core Region Propagation Criteria
Mathematical Formulation Failure Envelope
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Analytical Work - Comparison of Simulation and Experiment
Comparison between Numerical Prediction and Experiment for Coplaner-Open Flaw Geometry, Uniaxial Compression
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Analytical Work - Comparison of Simulation and Experiment
Comparison between Numerical Prediction and Experiment for for Stepped, Non-Overlapping Open Flaws
Uniaxial Compression
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Experimental Schematic
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Experimental Equipment
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Experimental Equipment
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Proposed Experimental Work
Parameters to be Varied
• Rock Type
• Flaw Length (12.7, 25.4, 6.35 mm
• Flaw Aperture (0.1 to 1 mm)
• Flaw Geometry
Key b1 – flaw inclination angle b2 – bridging angle L – ligament length a – half flaw length
• Stress States (Uniaxial, Biaxial, Different Magnitudes)
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Other Aspects of Proposed Research
• Measure Sonic Wave Velocity • Analysis - New propagation/coalescence criteria? • Details of Fracture Process • Scaling
- Lab - Field - Seismic - Field - Rockbursts
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flaw inclination angle 30o; positive bridging angles 30o,60o
PDWHULDO
R R
J\SVXP FUDFN FUDFN
FUDFNV FUDFNV FUDFNV
P DUEOH
FUDFN FUDFN
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Expected Accomplishments of Proposed Research
• More complete picture of fracturing based on lab experiments including different scales
• New analytical propagation/coalescence criteria if necessary
• Some idea on relation to field
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Conclusions
- GTP related objectives - better knowledge of fracture formation and growth and fracture evolution will be achieved
- Will provide analytical tools for modeling fracturing process.
- Will provide ideas on how fractures in the field are created