Advances_247_253_Baue+ - Eawag-Empa Library
Advances_247_253_Baue+ - Eawag-Empa Library
Advances_247_253_Baue+ - Eawag-Empa Library
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Measuring Local<br />
under Stress<br />
Tomography<br />
Strains<br />
with<br />
Andreas Bauer*, Eelco Verhulp**, Stan Schoofs*<br />
in Sandstones<br />
Micro-computed<br />
*Shell International Exploration & Production, Kesslerpark 1, 2288 GS Rijswijk,<br />
The Netherlands<br />
a.bauer@shell.com<br />
stan.schoofs@shell.com<br />
**Department of Biomedical Engineering, Eindhoven University of Technology,<br />
Den Dolech 2,5600 ME Eindhoven, The Netherlands<br />
e. verhulp@tue.nl<br />
ABSTRACT: We report on micro-computed tomography (peT) measurements of Bentheim<br />
sandstone under stress using a specially designed triaxial pressure cell. First results<br />
demonstrate the feasibility of measuring local deformations and strains in sandstones with<br />
mstrain sensitivity. Data analysis includes segmentation of three-dimensional peT images,<br />
grain partitioning, and application of a cross-correlation technique for determining<br />
displacements and rotations of single grains.<br />
KEYWORDS: Micro-computed tomography, sandstones, stress-strain relationship.
Micro structure 249<br />
Figure 1 a shows a drawing of the pressure cell. The sample has a diameter of 5<br />
mm and a length of 14 mm and is clamped between two pistons, by which axial<br />
stress is applied to the sample. The upper piston is moveable and driven<br />
hydraulically. The lower piston is fixed. The sample is surrounded by a relatively<br />
thick poly-ether-ether-ketone (PEEK) mantle (wall thickness 7 rom, outer diameter<br />
21 mm) that can sustain stresses up to 400 bar both along the symmetry axis and<br />
radially. PEEK is a machinable and rather strong material, and, more importantly for<br />
f.LCT applications, it shows only little x-ray absorption as compared to the rock<br />
sample (for typical x-ray energies of 70 keY, the x-ray absorption of the PEEK<br />
mantle is less than 5%). The small annulus between sample and mantle can be filled<br />
by hydraulic oil for radial confinement. Here, a thin rubber sleeve forms a seal<br />
between sample and confinement oil. Small holes in the upper and lower piston<br />
allow for adjustment of pore-fluid pressures and fluid flow (drainage, etc.). The tube<br />
that connects the pore-fluid line in the upper piston slides within the piston, with an<br />
O-ring between tube and piston acting as a seal.<br />
00=20 bar<br />
Figure 1. (A) Schematic drawing of the cylindrical triaxial pressure cell for micro-CTand<br />
(B) resulting J1CT images of a Bentheim sandstone sample at different uniaxial stresses.<br />
The rubber sleeve around the sample is also visible in the images. Before failure at 200<br />
bar, grains and pores can easily be tracked (see circles) although there might be overall<br />
displacements from one image to the other<br />
B
Micro structure <strong>253</strong><br />
Knackstedt M.A., AIDs C.H., Ghous A., Sakellariou A., Senden T.J., Sheppard A.P., Sok<br />
R.M., Nguyen V., and Pinczewski W.V., "3D imaging and characterization of the pore<br />
space of carbonate core; implications to single and two phase flow properties", to be<br />
published, 2006.<br />
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the brittle regime", Pure and Applied Geophysics 160, p. 833-849, 2003.<br />
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core analysis", SPWLA 46th Annual Logging Symposium, p. 1-16, June 26-29 2005.<br />
Saito T. and Toriwaki 1.1., "New algorithms for Euclidean distance transformation of an ndimensional<br />
digitized picture with applications", Pattern Recognition 27, p. 1551-1565,<br />
1994.<br />
Shapiro S.A. and Kaselow A., "Porosity and elastic anisotropy of rocks under tectonic stress<br />
and pore-pressure changes", Geophysics 70, p. N27-N38, 2005.<br />
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geomaterials using microfocus x-ray computed tomography", in: X-ray CT for<br />
Geomaterials: Soils, Concrete, Rocks, Otani & Obara (Eds.) (Taylor & Francis, Oxford),<br />
p. 299-304, 2004.<br />
Verhulp E., van Rietbergen B. and Huiskes R., "A three-dimensional digital image correlation<br />
technique for strain measurements in microstructures", Journal of Biomechanics 37, p.<br />
1313-1320, 2004.<br />
Viggiani G., Lenoir N., Besuelle P., Di Michiel M., Marello S., Desrues J., Kretzschmer M.,<br />
"X-ray microtomography for studying localized deformation in fine-grained geomaterials<br />
under triaxial compression", C.R. Mechanique 332, p. 819-826,2004.