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International Journal of Rock Mechanics & Mining Sciences 39 (2002) 429-442. 指導教授 : 陳瑞昇、董家鈞 老師 學生 : 楊慶中 日期 :99.12.30. A MODELING APPROACH FOR ANALYSIS OF COUPLED MULTIPHASE FLUID FLOW , HEAT TRANSFER, AND DEFORMATION IN FRACTURED POROUS ROCK. J. Rutqvist ,Y.-S. Wu , C.-F Tsang , G. Bodvarsson. - PowerPoint PPT Presentation
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A MODELING APPROACH FOR ANALYSIS OF COUPLED MULTIPHASE FLUID FLOW , HEAT TRANSFER, AND DEFORMATION IN FRACTURED POROUS ROCK
指導教授 : 陳瑞昇、董家鈞 老師學生 : 楊慶中
日期 :99.12.301
International Journal of Rock Mechanics & Mining Sciences 39 (2002) 429-442
J. Rutqvist ,Y.-S. Wu , C.-F Tsang , G. Bodvarsson
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Outline
Introduction FLAC3D
TOUGH2 Coupling module Examples Results Conclusion
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Introduction
Coupled thermal–hydrologic–mechanical processes under multiphase flow conditions are prevalent in geoscientific applications.
A few of the most important include nuclear waste disposal in geological media, deep underground injection of hazardous waste and underground storage of carbon dioxide into permeable aquifers.
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Introduction
However, there is no single computer code that handles general coupled thermal–hydrologic–mechanical processes .
The two codes—TOUGH2 and FLAC3D are linked using sequential execution and data transfer through nonlinear coupling functions.
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FLAC3D
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FLAC3D
FALC (Fast Lagrangian Analysis of Continua ), the finite difference code is developed by the United States Itasca Consulting Group Inc in 1986 ,and FLAC3D developed in 1994.
Code is developed for rock and soil mechanics and can also handle thermomechanical and hydromechanical problem for single-phase fluid flow.
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Cauchy’s fomula
Motion equations
idvF mdt
iij i
dvb
dt
FLAC3D
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FLAC3D
' ( ', )H t
'
e p T
T I T
I P
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TOUGH2
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TOUGH2
TOUGH(Transport of Unsaturanted Groundwater and Heat) developed in the Earth Sciences Division of Lawrence Berkeley National Laboratory in 1987.
TOUGH2 is a simulator for multiphase, multicomponent , non-isothermal flows in fractured-porous media.
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1111
n n n
K K Kn n n
V V
K K
K K K
adv dis
dM dV F nd q dV
dt
M S X
F F F
TOUGH2
Governing equations
1212
Coupling module
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(1- )
l
l
a
l l l a
P pore pressure
S saturation of liquid
P pressure of liquid
P pressure of air
P S P S P
Biot's effective
stress parameter
pore pressure.
unit tensor
'
P
I
I P
Coupling module
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0
0
residual porosity at high stress
porosity at zero stress
' mean effective stress
exponent
( ) exp( ')
r
r r
a
a
0
0
0 0
porosity at zero stress
permeability at zero stress
exponent
exp[ ( / 1)]
k
c
k k c
0 00
=capillary pressure
/( )
/
c
c c l
P
kP P S
k
Coupling module
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Examples Results
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Conclusion
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Conclusion
We have linked two codes—TOUGH2 and FLAC3D—for analysis of coupled thermal-hydrologic-mechanical processes.
The coupling modules contain nonlinear stress versus permeability functions.
Conclusion
In both these examples, the hydromechanical changes are relatively slow, which is most suitable for the sequentially explicit solution.
Problems with higher strain rates relative to fluid mobility may require the sequential implicit approach or ultimately a fully implicit coupled approach.
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Thank for your attention
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