Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading

Mikhail Guzev, Evgenii Riabokon, Mikhail Turbakov, Evgenii Kozhevnikov and Vladimir Poplygin
Additional contact information
Mikhail Guzev: Department of Oil and Gas Technologies, Perm National Research Polytechnic University, 614990 Perm, Russia
Evgenii Riabokon: Department of Oil and Gas Technologies, Perm National Research Polytechnic University, 614990 Perm, Russia
Mikhail Turbakov: Department of Oil and Gas Technologies, Perm National Research Polytechnic University, 614990 Perm, Russia
Evgenii Kozhevnikov: Department of Oil and Gas Technologies, Perm National Research Polytechnic University, 614990 Perm, Russia
Vladimir Poplygin: Department of Oil and Gas Technologies, Perm National Research Polytechnic University, 614990 Perm, Russia

Energies, 2020, vol. 13, issue 23, 1-12

Abstract: This paper presents a mathematical model that reflects the nature of the dynamic Young’s modulus of a dry sedimentary rock during nonstationary uniaxial loading. The model is based on an idealized model of a system suggested by Jaeger J.C. A rock sample is considered as a spring with stiffness, the bottom point of which is fixed, while the upper point carries a mass. A sample experiences dynamic load and the rock matrix response. Displacement of the mass from the equilibrium state sets the variation of the sample’s length. Displacement of all the sample’s points goes according to the same law regardless of the point location. The response of a rock to a disturbing nonstationary load is selected based on the combination of conditions of each experiment, such as the load frequency and amplitude and the mass, length, and diameter of a sample. The mathematical model is consistent with experimental data, according to which an increase in load frequency leads to an increase in the dynamic Young’s modulus for each value of the load. The accuracy of the models is evaluated. The relations underlying the model can be used as a basis to describe the Young’s modulus dispersion of sedimentary rocks under the influence of nonstationary loads.

Keywords: dynamic load; elasticity; mathematical model; sandstone; experimental data (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/1996-1073/13/23/6461/pdf (application/pdf)
https://www.mdpi.com/1996-1073/13/23/6461/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:13:y:2020:i:23:p:6461-:d:458130

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().