Involving the data about anisotropic fracturing of rocks in mathematical models of blasting hole patterns

Author(s):  A.V. Konovalov, VIOGEM OJSC, Belgorod, Russia, alexander.v.konovalov@yandex.ru

G.M. Redkin, Belgorod State Technological University named after V.G. Shoukhov, Belgorod, Russia, redking@mail.ru

Issue:  Volume 45, № 3

Rubric:  Computer simulation history

Annotation:  We reviewed different mathematical models of regular blasting hole patterns and concluded that coordinates of drill holes could be computed as production of integer vector of holes’ indices and 2×2-sized matrix, which we call “generative matrix of regular blasting holes pattern”. We also reviewed mechanics of the impact caused by anisotropic fracturing of rocks in blast power spatial distribution and the shape of blasting hole’s crushing zone. Using the mathematical modeling of blast power spatial distribution in a rocks (in two-dimensional case) we concluded that blasting hole’s crushing zone has the form of a circle in isotropic rocks case, the elliptical form in laminated rocks case, and the form of “nearest fracture diagram” in case of anisotropically fractured rocks. We propose modified staggered blasting hole pattern with rotation and row shift for optimizing crushing quality. Proposed pattern’s parameters can be computed numerically (though the minimization of loss function which takes into account integral crushing quality in a bench volume) or geometrically – by tiling the bench’s upper surface with polygons that are similar to the shape of modeled blast power distribution (diagram of distance to nearest fracture).

Keywords:  fracturing anisotropy, fracturing system, drilling and blasting operations, quality of crushing, blasting holes pattern, generative matrix

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