Transp Porous Med (2014) 102:71–90
DOI 10.1007/s11242-013-0262-7
Grain Shape Effects on Permeability, Formation Factor,
and Capillary Pressure from Pore-Scale Modeling
T. Torskaya · V. Shabro · C. Torres-Verdín ·
R. Salazar-Tio · A. Revil
Received: 14 July 2013 / Accepted: 6 December 2013 / Published online: 20 December 2013
© Springer Science+Business Media Dordrecht 2013
Abstract We invoke pore-scale models to evaluate grain shape effects on petrophysical
properties of three-dimensional (3D) images from micro-CT scans and consolidated grain
packs. Four sets of grain-packs are constructed on the basis of a new sedimentary algo-
rithm with the following shapes: exact angular grain shapes identified from micro-CT scans,
ellipsoids fitted to angular grains, and spheres with volume and surface-to-volume ratio
equal to original angular grains on a grain-by-grain basis. Subsequently, a geometry-based
cementation algorithm implements pore space alteration due to diagenesis. Eight micro-CT
scans and 144 grain-pack images with 500 × 500 × 500 voxels (the resolution units of
3D images) are analyzed in this study. Absolute permeability, formation factor, and cap-
illary pressure are calculated for each 3D image using numerical methods and compared
to available core measurements. Angular grain packs give rise to the best agreement with
experimental measurements. Cement volume and its spatial distribution in the pore space
significantly affect all calculated petrophysical properties. Available empirical permeability
correlations for non-spherical grains underestimate permeability between 30 and 70 % for
the analyzed samples. Kozeny–Carman’s predictions agree with modeled permeability for
spherical grain packs but overestimate permeability for micro-CT images and non-spherical
grain packs when volume-based radii are used to calculate the average grain size in a pack.
T. Torskaya · V. Shabro · C. Torres-Verdín (B )
The University of Texas at Austin, Austin, TX, USA
e-mail: cverdin@austin.utexas.edu
T. Torskaya
e-mail: taceto@utexas.edu
R. Salazar-Tio
Chevron Energy Technology Company, San Ramon, CA, USA
A. Revil
Department of Geophysics, Colorado School of Mines, Golden, CO, USA
A. Revil
ISTerre, UMR CNRS 5275, Université de Savoie, Le Bourget du Lac, France
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