Probabilistic calculation in terms of deformations of the formations consisting of compacted overburden of Quarternary rocks

Yurii Vynnykov¹, Maksym Kharchenko¹, Viktoriia Dmytrenko¹, Andrii Manhura¹

¹National University “Yuri Kondratyuk Poltava Polytechnic”, Poltava, 36011, Ukraine

Min. miner. depos. 2020, 14(4):122-129

https://doi.org/10.33271/mining14.04.122

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ABSTRACT

Purpose is to study the effect of a stress-strain state (SSS) of rock mass on statistical dispersion of deformability characteristics of the compacted overburden; to develop modeling methods of dispersion of random values (RV) influence of subsoil material characteristics; and to analyze their SSS modeling using a finite-element method as well as simulation modeling.

Methods. The following has been applied: the tested methods of experiment planning theory; methods of rock mechanics; methods of mathematical statistics and probability theory; simulation using Monte Carlo method; and finite-element method (FEM) using elastic-plastic model to simulate SSS of artificial rock masses.

Findings. Statistic parameters of the distribution of RVs of both analytical and boundary resistances of the compacted overburden have been obtained as well as subsidence of plates (bases) on beddings, and their relative irregularities. Statistic parameters and regularities of plate subsidence have been identified using numerical SSS simulation of beddings, and simulation by means of Monte Carlo method. It has been determined that there is a probability of origination of a nonlinear stage of a basis deformation in addition to a linear one. The fact can be explained by variability of the compacted rock characteristics as well as random nature of loads on the bases. It has been defined that probability failure of the basis on a bedding from 1st boundary condition is allowable since safety characteristic is β > 3-4; in terms of relative irregularity criterion, their subsidence on a one layer bedding achieves 10% when its boundary value (ΔS/L) is u = 0.002 and 3% when its boundary value (ΔS/L) is u = 0.004; however, in the context of a multilayer bedding, the values are only 0.02%, and 0.0006% respectively.

Originality.It has been identified that determination of deformation of the beddings, belonging to overburden Quarternary rocks, should take into consideration the determined regularities of distribution of physiomechanical characteristics of the compacted soil in the process of analytical numerical simulation, and in the context of finite element method using elastic-plastic model.

Practical implications. Possibility to utilize overburden Quarternary rocks as well as their mixtures has been proved while using them as a material of soil beddings for buildings and structures; and methods have been developed to calculate artificial formations on the basis of the compacted overburden taking into consideration statistic parameters of distribution of their physiomechanical characteristics.

Keywords: overburden, soil bedding, multifactor analysis, internal friction angle, specific cohesion, deformation modulus, distribution law, subsidence

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