A case history of modeling elastic hysteresis of different-genotype rocks based on the Preisach model

For improving reliability of data required for the numerical geomechanical models, and for having more correct relations between properties of samples and in-situ properties of rocks for modeling production processes in mining, it is important to take into account parameters of elastic hysteresis. One of the most widespread models of elastic hysteresis is currently the Preisach–Mayergoyz (PM) model which describes the nonlinearly elastic behavior of structurally nonuniform media with the discrete memory, such as rocks (geomaterials). In this connection, the aim of this study is modeling elastic hysteresis for rocks of different genesis. The research method is MathCAD-based mathematical modeling of deformation of rock samples under conditions of elastic hysteresis. The article describes the elements and the results of the constructed mathematical model of elastic hysteresis based on the Preisach model. It is found that hysteron distributions in the PM space model observably differ in the samples of differentgenotype rocks. In this fashion, it is possible to obtain an adequate valuation of the degree of hysteresis in rocks having multi-scale faulted internal structure using the proposed model.

Keywords: rock samples, modeling, elastic hysteresis, hysteresis loop, hysteresis model, Preisach Model, Preisach–Mayergoyz space, hysteretic nonlinearity, rock structure.
For citation:

Vysotin N. G., Vinnikov V. A. A case history of modeling elastic hysteresis of different-genotype rocks based on the Preisach model. MIAB. Mining Inf. Anal. Bull. 2023; (11):5-16. [In Russ]. DOI: 10.25018/0236_1493_2023_11_0_5.

Issue number: 11
Year: 2023
Page number: 5-16
ISBN: 0236-1493
UDK: 622.023.25+530.152.1
DOI: 10.25018/0236_1493_2023_11_0_5
Article receipt date: 03.05.2023
Date of review receipt: 15.07.2023
Date of the editorial board′s decision on the article′s publishing: 10.10.2023
About authors:

N.G. Vysotin1, Senior Lecturer, e-mail: n.vysotin@misis.ru, ORCID ID: 0000-0002-3011-053X,
V.A. Vinnikov1, Dr. Sci. (Phys. Mathem.), Assistant Professor, Head of Chair, e-mail: evgeny.vinnikov@gmail.com, Scopus Author ID: 23037295300,
1 National University of Science and Technology «MISiS», 119049, Moscow, Russia.


For contacts:

N.G. Vysotin, e-mail: e-mail: n.vysotin@misis.ru.


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