|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 Publication||JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
|Abstract||The 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.|
Power Law Singularity
Power Law Exponent
Prediction Of Rupture
; DISORDERED SOLIDS
; HETEROGENEOUS MATERIALS
; FRACTURE PRECURSORS
; ACCELERATING RATES
|WOS Research Area||Geochemistry & Geophysics
|WOS Subject||Geochemistry & Geophysics
|Funding Organization||National 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)
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.
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.
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.