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@ARTICLE{Moslemipour:644940,
author = {Moslemipour, Abolfazl and Sadeghnejad, Saeid and Enzmann,
Frieder and Khoozan, Davood and Schäfer, Thorsten and
Kersten, Michael},
title = {{E}fficient multi-scale image reconstruction of
heterogeneous rocks with unresolved porosity using octree
structures},
journal = {Computational geosciences},
volume = {29},
number = {3},
issn = {1420-0597},
address = {New York, NY [u.a.]},
publisher = {Springer Science + Business Media B.V.},
reportid = {PUBDB-2026-00483},
pages = {24},
year = {2025},
abstract = {Identifying rock properties at the pore scale plays a
crucial role in understanding larger-scale properties. For
this purpose, the digital rock physics technique is used to
model rock images at the pore scale. Achieving
high-resolution (HR) images with a large field of view (FoV)
is essential for pore-scale modeling of heterogeneous rock
samples, which presents significant challenges due to their
complex structures. However, because of the trade-off
between resolution and FoV, it is not possible to acquire
large HR images. Multi-scale image reconstruction methods
enable modeling images at different resolutions and FoVs.
Despite various approaches being introduced, a common
limitation is the high computational cost. In this study, a
novel approach based on Octree structures is introduced to
minimize computational cost while maintaining accuracy. A
Berea sandstone (BS) and an Edward Brown Carbonate (EBC)
sample were scanned at both HR and low resolution (LR) using
X-ray microtomography. Our method involves splitting the
unresolved porosity in rock images into smaller sections of
unresolved templates using the watershed algorithm and
considering the optimized parameters. We then applied a
cross-correlation based simulation technique to find the
best match of each unresolved template. The novelty of our
approach lies in the use of an Octree structure to perform
calculations on LR images, significantly reducing
computation time and memory consumption due to the fewer
number of pixels in Octree LR structures. The accuracy of
the images thus reconstructed using our approach was
compared with those from previous methods by evaluating
geometric properties and single- and two-phase flow
properties. The results were promising, demonstrating that
our approach achieved a permeability close to the real
value, while the previous method had an error of
approximately $4\%$ for both BS and EBC rocks. More
importantly, our approach was approximately three times
faster and reduced memory usage by 20 to 130 times. The
findings of this study facilitate dual- or multi-scale
modeling and evaluate heterogeneous rock images at a
significantly lower computational cost. In particular, for
heterogeneous rocks, where multi-scale image reconstruction
demands substantial memory and runtime, the use of the
Octree technique enables accurate reconstruction with lower
computational cost.},
cin = {DOOR ; HAS-User / Hereon},
ddc = {550},
cid = {I:(DE-H253)HAS-User-20120731 / I:(DE-H253)Hereon-20210428},
pnm = {6G3 - PETRA III (DESY) (POF4-6G3)},
pid = {G:(DE-HGF)POF4-6G3},
experiment = {EXP:(DE-H253)P-P05-20150101},
typ = {PUB:(DE-HGF)16},
doi = {10.1007/s10596-025-10362-w},
url = {https://bib-pubdb1.desy.de/record/644940},
}