Poromechanics Investigation at Pore-scale Using Digital Rock Physics Laboratory Shawn Zhang 1,* , Nishank Saxena 2 , Patrick Barthelemy 1 , Mike Marsh 1 , Gary Mavko 2 , Tapan Mukerji 2 1 Visualization Sciences Group, Burlington, MA, USA; 2 Stanford University, Stanford, CA, USA Session: Multiphysics October 13, 2011
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Poromechanics Investigation at Pore-scale Using
Digital Rock Physics Laboratory
Shawn Zhang1,*, Nishank Saxena2, Patrick Barthelemy1, Mike Marsh1, Gary Mavko2, Tapan Mukerji2 1Visualization Sciences Group, Burlington, MA, USA; 2Stanford University, Stanford, CA, USA
Session: Multiphysics October 13, 2011
Agenda
Introduction
Motivation
Goal of study
Theory
Approach – digital rock physics lab
3D Imaging
Avizo digital rock analysis
Comsol simulation
Results
Between Rock and A Hard Place
Is rock that hard?
Quartzite Sandstone Metamorphism About.com
500nm
Shale Gas Reservoir, 70,000x Magnification
70nm or .07µm
7.2
µm
Motivation: porous rock network
Ø 2.57% K ~0.0003mD
Convention Sandstone Reservoir
Tight-Gas Sandstone Reservoir
Ø 10% - K 0.052mD 50µm
Ø 33.0% - K 753mD 200µm
500nm
Shale Gas Reservoir, 70,000x Magnification
70nm or .07µm
7.2
µm
Motivation: porous rock network
Ø 2.57% K ~0.0003mD
Convention Sandstone Reservoir
Ø 33.0% - K 753mD 500µm
Important
• Oil and Gas
• Geology
• Hydrology
500nm
Shale Gas Reservoir, 70,000x Magnification
70nm or .07µm
7.2
µm
Motivation: porous rock network
Ø 2.57% K ~0.0003mD
Convention Sandstone Reservoir
Ø 33.0% - K 753mD 500µm
Complex
• Multiscale
• Multiphase
• Multiphysics
Goal: Validate Pore Filling Theory
This Presentation,
Validates the use of solid material filling to
replace more commonly used fluid filling
theory;
Designs the validation framework using
digital rock physics.
Work in progress,
Derives generic pore filling theory;
Validates new theory in a similar framework
with more complex physics.
Pore filling Theories: Substitution Equation
Solid B
Solid A
Solid B
Empty
Solid A
drydry,K
AA,K
satsat,K
BB,K
Material A
Fluid Substitution:
• Brine Sand, Oil Sand, Gas Sand
Solid Substitution:
• Heavy oil, Bitumen filled
Pore filling Theories: Substitution Equation
Solid B
Solid A
Solid B
Empty
Solid A
drydry,K
AA,K
satsat,K
BB,K
Material A
Fluid Substitution:
• Gassmann, 1951
Solid Substitution:
• Ciz & Shapiro,
1997
dry
BBAB
dry
A
dry
BAB
A
sat
KKKKKK
KKKKK
11111
1111
0
0
Solid Substitution equation
dry
BBAB
dry
A
dry
BAB
A
sat
KKKKKK
KKKKK
11111
1111
0
0
where Ksat Effective bulk modulus η0 Porosity Kdry Dry (drained) rock bulk modulus KA Bulk modulus of the pore-filling mineral KB Bulk modulus of the solid matrix
Digital Rock Physics Lab An escape from the flat land. Edward Tufts, 1981