Quantification of uncertainty and best practice in computing interfacial curvature from complex pore space images.

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Title: Quantification of uncertainty and best practice in computing interfacial curvature from complex pore space images.
Authors: Akai, T
Lin, Q
Alhosani, A
Bijeljic, B
Blunt, MJ
Item Type: Journal Article
Abstract: Recent advances in high-resolution three-dimensional X-ray CT imaging have made it possible to visualize fluid configurations during multiphase displacement at the pore-scale. However, there is an inherited difficulty in image-based curvature measurements: the use of voxelized image data may introduce significant error, which has not-to date-been quantified. To find the best method to compute curvature from micro-CT images and quantify the likely error, we performed drainage and imbibition direct numerical simulations for an oil/water system on a bead pack and a Bentheimer sandstone. From the simulations, local fluid configurations and fluid pressures were obtained. We then investigated methods to compute curvature on the oil/water interface. The interface was defined in two ways; in one case the simulated interface with a sub-resolution smoothness was used, while the other was a smoothed interface extracted from synthetic segmented data based on the simulated phase distribution. The curvature computed on these surfaces was compared with that obtained from the simulated capillary pressure, which does not depend on the explicit consideration of the shape of the interface. As distinguished from previous studies which compared an average or peak curvature with the value derived from the measured macroscopic capillary pressure, our approach can also be used to study the pore-by-pore variation. This paper suggests the best method to compute curvature on images with a quantification of likely errors: local capillary pressures for each pore can be estimated to within 30% if the average radius of curvature is more than 6 times the image resolution, while the average capillary pressure can also be estimated to within 11% if the average radius of curvature is more than 10 times the image resolution.
Issue Date: 3-Jul-2019
Date of Acceptance: 25-Jun-2019
URI: http://hdl.handle.net/10044/1/71808
DOI: https://doi.org/10.3390/ma12132138
ISSN: 1996-1944
Publisher: MDPI
Start Page: 1
End Page: 21
Journal / Book Title: Materials (Basel)
Volume: 12
Issue: 13
Copyright Statement: © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
Keywords: capillary pressure
direct numerical simulation
interfacial curvature
multiphase flow
pore-scale imaging
capillary pressure
direct numerical simulation
interfacial curvature
multiphase flow
pore-scale imaging
03 Chemical Sciences
09 Engineering
Publication Status: Published online
Conference Place: Switzerland
Open Access location: https://doi.org/10.3390/ma12132138
Online Publication Date: 2019-07-03
Appears in Collections:Earth Science and Engineering



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