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The Changeable Power Law Singularity and its Application to Prediction of Catastrophic Rupture in Uniaxial Compressive Tests of Geomedia
Xue J(薛健); Hao SW(郝圣旺); Wang J(王军); Ke FJ(柯孚久); Lu CS(卢春生); Bai YL(白以龙)
Source PublicationJOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
2018-04-01
Volume123Issue:4Pages:2645-2657
ISSN2169-9313
AbstractThe acceleration precursor of catastrophic rupture in rock-like materials is usually characterized by a power law relationship, but the exponent exhibits a considerable scatter in practice. In this paper, based on experiments of granites and marbles under quasi-static uniaxial and unconfined compression, it is shown that the power law exponent varies between -1 and -1/2. Such a changeable power law singularity can be justified by the energy criterion and a power function approximation. As the power law exponent is close to the lowest value of -1, rocks are prone to a perfect catastrophic rupture. Furthermore, it is found that the fitted reduced power law exponent decreases monotonically in the vicinity of a rupture point and converges to its lower limit. Therefore, the upper bound of catastrophic rupture time is constrained by the lowest value of the exponents and can be estimated in real time. This implies that, with the increase of real-time sampling data, the predicted upper bound of catastrophic rupture time can be unceasingly improved.
KeywordCatastrophic Rupture Power Law Singularity Power Law Exponent Prediction Of Rupture
DOI10.1002/2018JB015591
Indexed BySCI
Language英语
WOS IDWOS:000434133700007
WOS KeywordTIME-TO-FAILURE ; VOLCANIC-ERUPTIONS ; DISORDERED SOLIDS ; HETEROGENEOUS MATERIALS ; FRACTURE PRECURSORS ; ACCELERATING RATES ; CRITICAL-BEHAVIOR ; EARTHQUAKES ; MODEL ; CREEP
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
Funding OrganizationNational Natural Science Foundation of China(11372316 ; National Basic Research Program of China(2013CB834100) ; Strategic Priority Research Program of the Chinese Academy of Sciences(XDB22040501) ; Opening Fund of State Key Laboratory of Nonlinear Mechanics (LNM) ; Open Fund of State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining & Technology (Beijing)(SKLGDUEK1516) ; 11772332 ; 11432014 ; 11672258)
Classification二类/Q1
Ranking1
Citation statistics
Cited Times:24[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77503
Collection非线性力学国家重点实验室
Recommended Citation
GB/T 7714
Xue J,Hao SW,Wang J,et al. The Changeable Power Law Singularity and its Application to Prediction of Catastrophic Rupture in Uniaxial Compressive Tests of Geomedia[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,2018,123,4,:2645-2657.
APA 薛健,郝圣旺,王军,柯孚久,卢春生,&白以龙.(2018).The Changeable Power Law Singularity and its Application to Prediction of Catastrophic Rupture in Uniaxial Compressive Tests of Geomedia.JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,123(4),2645-2657.
MLA 薛健,et al."The Changeable Power Law Singularity and its Application to Prediction of Catastrophic Rupture in Uniaxial Compressive Tests of Geomedia".JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH 123.4(2018):2645-2657.
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