№82-6

Mathematical simulationof the crush zone of a rock mass by a borehole charge of explosive substance along the shock adiabat of the rock

V. Sobolev¹,        https://orcid.org/0000-0003-1351-6674

M. Kononenko¹,  https://orcid.org/0000-0002-1439-1183

O. Khomenko¹,   https://orcid.org/0000-0001-7498-8494

A. Kosenko¹        https://orcid.org/0000-0003-3058-4820

¹ Dnipro University of Technology, Dnipro, Ukraine

Coll.res.pap.nat.min.univ. 2025, 82:65-80

Full text (PDF)

https://doi.org/10.33271/crpnmu/82.065

ABSTRACT

Purpose. Setting the parameters of the crush zone during the destruction of a rock mass by a borehole charge of explosives, taking into account the shock adiabat of a given rock.

The methodology of research. The calculation methodology of shock-wave parameters of rocks taking into account shock adiabats and the laws of elasticity theory was used, analytical simulation of the parameters of formation of the crush zone of the rock mass around the borehole under explosive loading was carried out. Numerical simulation of the crush zone by the finite element method was carried out for the change in the stress-strain state of the mass under the action of the explosion. To establish the suitability of the obtained analytical model for calculating the radius of the specified zone, a comparison of the results of analytical and numerical simulation was carried out.

Findings. An analytical model of the radius of the crush zone formed in the rock mass during blasting of a borehole charge has been developed based on the shock adiabat of the rock, taking into account the borehole diameter, the pressure value and the mass velocity of rock particles at the contact of the explosive with the rock and its tensile-compressive strength limits. A comparison of the results of the study of the mathematical model of the radius of the crush zone based on the shock adiabat of the rock with the previously obtained analytical model calculated based on the pressure of the explosion products revealed a discrepancy of no more than 6 %. A comparison of the results of analytical estimates of the radius of the crush zone with the results of numerical modeling revealed a discrepancy in the radius of the specified zone within 5 %.

The originality. The radius of the crush zone formed in the rock mass during blasting of a borehole charge changes according to a power law dependence on the borehole diameter, pressure and mass velocity of rock particles at the contact of the explosive with the rock and the tensile-compressive strength limits of the rock, which allows us to estimate the parameters of destruction of the rock mass in the nearby blast zone.

Practical implications.The mathematical model of the radius of the crush zone along the shock adiabat of the rock formed in the rock mass around the borehole under the action of the explosion determines the parameters of the destruction of the rock mass in the nearby explosion zone.

Keywords: rock mass, borehole, explosive, rock shock adiabat, crush zone.

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