Prediction of initiation and propagation of tensile fractures based on physical and mechanical properties of rocks

In full-scale conditions, especially at great depths, layers of parallel fractures are often observed. These fractures are called the tensile fractures induced by compression. This kind of fracture is not shearing but tension. The value of the tensile strain which initiates and pushes fractures makes it possible to determine the instability potential of rock mass around an underground excavation. The critical tensile strain value of rocks is important for determining tensile strain zone sizes and for choosing rock bolts with bearing plates to be fixed in stable rocks. In this study, the mathematical equations were constructed for the prediction of initiation threshold ( ) and propagation threshold () for tensile fractures based on the physical and  mechanical properties of rocks (compression strength, Poisson’s ratio and elasticity modulus). Reliability of the constructed mathematical equation was checked by comparing the values of and  with the numerical model calibration results and with actual mine observations. The mathematical equations are constructed based on the physical and mechanical properties of rock samples in compression and are checked with regard to the cyclic numerical calibration as follows: modeling  observation  calibration.

Keywords: tensile strains, calibration method, arched roadway, mining depth, prediction, thickness, tensile strain zone, rock, Map3D and RocData, initiation, propagation, tensile fractures.
For citation:

Nguyen Van Minh, Umarov A. R., Yanbekov A. M., Khazhyylai C. V. Prediction of initiation and propagation of tensile fractures based on physical and mechanical properties of rocks. MIAB. Mining Inf. Anal. Bull. 2021;(6):84-94. [In Russ]. DOI: 10.25018/0236_ 1493_2021_6_0_84.

Issue number: 6
Year: 2021
Page number: 84-94
ISBN: 0236-1493
UDK: 622.831; 622,2; 622.235
DOI: 10.25018/0236_1493_2021_6_0_84
Article receipt date: 12.02.2021
Date of review receipt: 16.03.2021
Date of the editorial board′s decision on the article′s publishing: 10.05.2021
About authors:

Nguyen Van Minh, Graduate Student, e-mail:, Mining Institute, National University of Science and Technology «MISiS», 119049, Moscow, Russia
A.R. Umarov 1, Laboratory Assistant, e-mail:,
A.M. Yanbekov 1, Laboratory Assistant, e-mail:,
C.V. Khazhyylai 1, Laboratory Assistant,,
1 Research Center for Applied Geomechanics and Convergent Technologies in Mining, Mining Institute, National University of Science and Technology «MISiS», 119049, Moscow, Russia.


For contacts:

Nguyen Van Minh, e-mail:, A.R. Umarov, e-mail:



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