multi scale porous and colloidal materials texture and transport properties … · 2017-02-12 ·...
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P. Levitz CNRS-UPMC Janv 2017
MULTI SCALE POROUS AND COLLOIDAL MATERIALS
TEXTURE AND TRANSPORT PROPERTIES
P. E. LEVITZ
1 1
MENU
Part I: Many ways to share and divide the space
Part II:Textures of Porous media as probed by scattering techniques
Part III: Transport and invasion properties
P. Levitz CNRS-UPMC Janv 2017 2
P. Levitz CNRS-UPMC Janv 2017
MENU OF THE FIRT PART
1/ Many ways to share and divide the space
2/ Wild and gentle disorders: REV, correlation and Hierarchy
3/ A tool for the wild disorder: the fractals
4/ A model for an evolving wild disorder: the percolation transition
5/ Concepts at work: Imagery and topology of evolving porous media
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P. Levitz CNRS-UPMC Janv 2017 4
Clay suspension Tobermorite
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P. Levitz CNRS-UPMC Janv 2017
Global Strategy to Study Geometry of Porous and colloidal Materials
Global Informations : Porosity (f) Specific Surface (Sv)
Morphology: Form and size of a pore, curvature of a pore, roughness, 2 points correlation, 2D--->3D
Topology: Skeleton, .connectivity
Incr
easi
ng d
iffic
ulty
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P. Levitz, D. Tchoubar, J. Phys. I 2 1992. 771. 9
Introduction to stereology: Chord length distributions as an integrated tool
Assuming an general homogeneity and isotropic of the matrix: First moments of the pore (lp) length distribution and the solid length distribution(lm) allow to compute the porosity and the
specific surface.
mp
p
lll
fmpp
v lllS
44f
J. Mering, D. Tchoubar, J. Appl. Crystallogr. 1 1968. 153.
Vycor Porous Glass
Levitz et al.: Porous vycor glass, J. Chem. Phys, 95, p 6151 (1991)
3.0f
2D TEM image, Pixel size=1.1 nm
Levitz. Advances in Colloid and Interface Science76-77 (1998). 71-106
0 10 0
2 10 -3
4 10 -3
6 10 -3
8 10 -3
1 10 -2
0 10 0 2 10 2 4 10 2 6 10 2 8 10 2 1 10 3
f p(r
) , f
m(r
)
r (Å )
p, 2D
p , 3D
m, 3D
m, 2D
P. Levitz CNRS-UPMC Janv 2017
1/ Many ways to share and divide the space
2/ Wild and gentle disorders: REV, correlation and Hierarchy
3/ A tool for the wild disorder: the fractals
4/ A model for an evolving wild disorder:the percolation transition
5/ Concepts at work: Imagery and topology of evolving porous media
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P. Levitz PHENIX-CNRS-UPMC-Jan 2017 12
SEE OR CORRELATE THE STRUCTURAL INFORMATION
- Probe the “characteristic size(s)” of the features. - Probe the surface. - Probe the shape. - Probe the structural correlation between features. - Probe the dynamics
3000 rrrrr d))(
V1)(V
&&&&
V
0)( r&1)( r&
if
if
solidrsolidr
r&
0r&
P. Levitz CNRS-UPMC Janv 2017 13
P. Levitz CNRS-UPMC Janv 2017
1/ Many ways to share and divide the space 2/ Wild and gentle disorders: REV, correlation and Hierarchy 3/ A tool for the wild disorder: the fractals 4/ A model for an evolving wild disorder:the percolation transition 5/ Concept at work: Imagery and topology of evolving porous media
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P. Levitz CNRS-UPMC Janv 2017 15
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P. Levitz CNRS-UPMC Janv 2017
L
e
edLLN )/(),( ee
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P. Levitz CNRS-UPMC Janv 2017
Fractal structures: examples of strongly disordered systems
L
e
dLLN )/(),( ee
)()/()( ee MLLM d
30 d
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P. Levitz CNRS-UPMC Janv 2017 19
P. Levitz CNRS-UPMC Janv 2017
1/ Many ways to share and divide the space
2/ Wild and gentle disorders: REV, correlation and Hierarchy
3/ A tool for the wild disorder: the fractals
4/ A model for an evolving wild disorder:the percolation transition
5/ Concept at work: Imagery and topology of evolving porous media
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P. Levitz CNRS-UPMC Janv 2017 21
P. Levitz CNRS-UPMC Janv 2017 22
P. Levitz CNRS-UPMC Janv 2017 23
One scaling law for the percolation network:
/ edd
P. Levitz CNRS-UPMC Janv 2017
1/ Many ways to share and divide the space
2/ Wild and gentle disorders: REV, correlation and Hierarchy
3/ A tool for the wild disorder: the fractals
4/ A model for an evolving wild disorder:the percolation transition
5/ Concepts at work: Imagery and topology of evolving porous media
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SLS, TOMCAT 0.5 mm
P. Levitz PHENIX CNRS-UPMC January 2016 P. Levitz CNRS-UPMC Janv 2017
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EXEMPLE : FOLLOWING THE SETTING OF CEMENT PASTE Cement paste as probed by mCT (TOMCAT, SLS)
Resolution: 0.7 mm Unreacted grains Hydrated phase
Capillary pore network
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Time evolution of the capillary pore network
34H 83 H 150H
Complexe Image !
P. Levitz CNRS-UPMC Janv 2017 27 P.L et al Eur. Appl. Phys. (2012) 60: Phys. J. 24202
The pore network topological graph: topological retraction at constant Betti Numbers
Intensive Parameter:
)()(
,0,0
1,0,0
cI
cITC
TC1
Number of Isolated nodes= 0,i
Number of Connected nodes= 0,c
Number of Branchs= 1
Extensive parameter: 1,0,03 cIN
Eur. Appl. Phys. (2012) 60: Phys. J. 24202
01 TC
TC0
Percolation 0TC
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EXAMPLE OF AN EVOLVING PORE NETWORK BY DELETION OF “ELEMENTARY PORES”
depercolation transition
P. Levitz CNRS-UPMC Janv 2014
J. Jouannot, J.P. Jernot and E. Guyon, C. R.Acad.Sci.Paris, Serie II b., 321, 425 (1995)
P. Levitz, Advances in Colloid and Interface Science, 76-77, 71(1998)
K.R. Mecke 1 and H. Wagner I; Journal of Statistical Physics, Vol. 64, Nos. 3/4, 1991
P. Levitz CNRS-UPMC Janv 2014
P.L et al Eur. Appl. Phys. (2012) 60: Phys. J. 24202
Time evolution of the capillary pore network
34H 83 H 150H
Complexe Image !
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Topological evolution
Evolution of the capillary pore network
Simulation of the electric transport
Exp 1/F after 1 year
Eur. Appl. Phys. (2012) 60: Phys. J. 24202 P. Levitz CNRS-UPMC Janv 2017 32
Hydrated phase nanoporous
Capillary pore network (disconnected at long
time)
micropores-macropores transfer
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P. Levitz PHENIX CNRS-UPMCsept2016
4 mm
Voxel size=15.5 nm
Bay of Naples
SUSTAINABILITY AND LIFE CYCLE:
ANCIENT ROMAN CEMENT (2000 years old!)
J. Am. Ceram. Soc Volume: 96 Issue: 8 Pages: 2598−2606 (2013)
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3D TXM Reconstruction
END OF THE FIRST PART