multi scale porous and colloidal materials texture and transport properties … · 2017-02-12 ·...

P. Levitz CNRS-UPMC Janv 2017

MULTI SCALE POROUS AND COLLOIDAL MATERIALS

TEXTURE AND TRANSPORT PROPERTIES

P. E. LEVITZ

[email protected]

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


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

3

Clay suspension Tobermorite



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

8

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





4/ A model for an evolving wild disorder:the percolation transition


11

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&


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

14


L

e

edLLN )/(),( ee

17


Fractal structures: examples of strongly disordered systems

L

e

dLLN )/(),( ee

)()/()( ee MLLM d

30 d

18






5/ Concept at work: Imagery and topology of evolving porous media

20


One scaling law for the percolation network:

/ edd







24

SLS, TOMCAT 0.5 mm

P. Levitz PHENIX CNRS-UPMC January 2016 P. Levitz CNRS-UPMC Janv 2017

25

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


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


EXAMPLE OF AN EVOLVING PORE NETWORK BY DELETION OF “ELEMENTARY PORES”

depercolation transition


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.L et al Eur. Appl. Phys. (2012) 60: Phys. J. 24202

Time evolution of the capillary pore network

34H 83 H 150H

Complexe Image !


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

33

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)

34

3D TXM Reconstruction

END OF THE FIRST PART

multi scale porous and colloidal materials texture and transport properties … · 2017-02-12 ·...

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