Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression

Abstract To investigate the statistical laws of acoustic emission energy (AEE) avalanche dynamics of sandstone under varying fracture lengths and dip angles, as well as to determine the relationship between acoustic emission (AE) parameters and damage variables, we studied the mechanical properties...

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Main Authors: Qiang Liu, Chao Pan, Lin Yan, Xuguang Wang, Shujian Li, Juncai Cao
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-85257-y
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author Qiang Liu
Chao Pan
Lin Yan
Xuguang Wang
Shujian Li
Juncai Cao
author_facet Qiang Liu
Chao Pan
Lin Yan
Xuguang Wang
Shujian Li
Juncai Cao
author_sort Qiang Liu
collection DOAJ
description Abstract To investigate the statistical laws of acoustic emission energy (AEE) avalanche dynamics of sandstone under varying fracture lengths and dip angles, as well as to determine the relationship between acoustic emission (AE) parameters and damage variables, we studied the mechanical properties and AE characteristics of sandstone with a single fracture subjected to uniaxial compression with the aid of the Shimadzu AG-IS test system and the PCI-2 AE system. The AEE characteristics of fractured sandstone under load were analyzed based on the statistical method of avalanche dynamics, with emphasis on AEE distribution, aftershock sequence, and waiting time distribution. The Weibull distribution function that incorporates a correction coefficient β was employed to optimize the Weibull parameters based on the strain equivalent hypothesis theory, which led to the establishment of a statistical damage constitutive model for fractured rock. The results indicated that the peak strength of rock samples initially decreases and then increases with increasing fracture dip angle, and decreases with increasing fracture length. The AEE of the rock sample followed a power-law distribution, with a power-law index ranging from 1.62 to 1.81, which was independent of fracture length and dip angle. The aftershock sequence also adhered to a power-law distribution, whereas the waiting time exhibited a multi-power-law distribution. The proposed statistical damage constitutive model aligned more closely with the experimental curves compared to previous models that normalizes AEE.
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institution Kabale University
issn 2045-2322
language English
publishDate 2025-01-01
publisher Nature Portfolio
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series Scientific Reports
spelling doaj-art-19a45b30f5634d0c8fa2956a4a2fb69c2025-01-26T12:32:58ZengNature PortfolioScientific Reports2045-23222025-01-0115111410.1038/s41598-025-85257-yAcoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compressionQiang Liu0Chao Pan1Lin Yan2Xuguang Wang3Shujian Li4Juncai Cao5Southwest Jiaotong UniversityGuizhou University Mining CollegeGuizhou University Mining CollegeSouthwest Jiaotong UniversityYunnan Phosphate Chemical Group Co., Ltd.Guizhou Energy Group Co., Ltd.Abstract To investigate the statistical laws of acoustic emission energy (AEE) avalanche dynamics of sandstone under varying fracture lengths and dip angles, as well as to determine the relationship between acoustic emission (AE) parameters and damage variables, we studied the mechanical properties and AE characteristics of sandstone with a single fracture subjected to uniaxial compression with the aid of the Shimadzu AG-IS test system and the PCI-2 AE system. The AEE characteristics of fractured sandstone under load were analyzed based on the statistical method of avalanche dynamics, with emphasis on AEE distribution, aftershock sequence, and waiting time distribution. The Weibull distribution function that incorporates a correction coefficient β was employed to optimize the Weibull parameters based on the strain equivalent hypothesis theory, which led to the establishment of a statistical damage constitutive model for fractured rock. The results indicated that the peak strength of rock samples initially decreases and then increases with increasing fracture dip angle, and decreases with increasing fracture length. The AEE of the rock sample followed a power-law distribution, with a power-law index ranging from 1.62 to 1.81, which was independent of fracture length and dip angle. The aftershock sequence also adhered to a power-law distribution, whereas the waiting time exhibited a multi-power-law distribution. The proposed statistical damage constitutive model aligned more closely with the experimental curves compared to previous models that normalizes AEE.https://doi.org/10.1038/s41598-025-85257-yFractured rock massAcoustic emission experimentDamage constitutive modelAvalanche dynamics
spellingShingle Qiang Liu
Chao Pan
Lin Yan
Xuguang Wang
Shujian Li
Juncai Cao
Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
Scientific Reports
Fractured rock mass
Acoustic emission experiment
Damage constitutive model
Avalanche dynamics
title Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
title_full Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
title_fullStr Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
title_full_unstemmed Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
title_short Acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
title_sort acoustic emission characteristics and damage constitutive model of fractured sandstone under uniaxial compression
topic Fractured rock mass
Acoustic emission experiment
Damage constitutive model
Avalanche dynamics
url https://doi.org/10.1038/s41598-025-85257-y
work_keys_str_mv AT qiangliu acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression
AT chaopan acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression
AT linyan acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression
AT xuguangwang acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression
AT shujianli acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression
AT juncaicao acousticemissioncharacteristicsanddamageconstitutivemodeloffracturedsandstoneunderuniaxialcompression