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Erschienen in: Rock Mechanics and Rock Engineering 7/2023

08.04.2023 | Original Paper

Quantitative Determination of High-Order Crack Fabric in Rock Plane

verfasst von: Xuefeng Li, Chenyan Du, Xing Wang, Junhui Zhang

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 7/2023

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Abstract

An accurate measurement method of crack fabric is proposed. Considering the density, geometry and spatial distribution in cracks, a novel method suggests the formula of high-order fabric tensor in the orthogonal space to describe cracks quantitatively. The crack is automatically identified by morphology and determined by stereo scans of image processing techniques. The fabric tensor is defined based on the idea of probability and statistics. The zero-order tensor describes the average effect of the density of rectangular cracks, the second-order tensor describes the two dominant directions of spatial cracks, and the higher-order tensor more accurately describes the anisotropy of cracks. With the increase of the tensor order, the more accurate direction and degree of the anisotropy can be described, and the morphological automatic identification of crack and its physical meaning of quantitative determination are clear. The plane description of the crack can be described by the invariants of the plane tensor. One invariant describes the degree of the anisotropy, and the other invariant describes its direction. The scan line is rotated and scanned on the rock plane image to obtain the accurate distribution of plane cracks, and the distribution law can be accurately described by the proposed high-order fabric tensor. In this paper, the rationality and effectiveness of the proposed measurement method are well verified by CT image analyses.

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Literatur
Zurück zum Zitat Zaitsev VY, Radostin AV, Pasternak E et al (2017) Extracting real-crack properties from non-linear elastic behaviour of rocks: abundance of cracks with dominating normal compliance and rocks with negative poisson ratios. Nonlinear Process Geophys 24(3):543–551. https://doi.org/10.5194/npg-24-543-2017CrossRef Zaitsev VY, Radostin AV, Pasternak E et al (2017) Extracting real-crack properties from non-linear elastic behaviour of rocks: abundance of cracks with dominating normal compliance and rocks with negative poisson ratios. Nonlinear Process Geophys 24(3):543–551. https://​doi.​org/​10.​5194/​npg-24-543-2017CrossRef
Metadaten
Titel
Quantitative Determination of High-Order Crack Fabric in Rock Plane
verfasst von
Xuefeng Li
Chenyan Du
Xing Wang
Junhui Zhang
Publikationsdatum
08.04.2023
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 7/2023
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-023-03319-x

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