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2020
DOI: 10.3390/en13236461
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Modelling of the Dynamic Young’s Modulus of a Sedimentary Rock Subjected to Nonstationary Loading

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 sam… Show more

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Cited by 16 publications
(8 citation statements)
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References 52 publications
(57 reference statements)
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“…The dynamics of changes in additional oil production from frequency coincides with the dynamics of changes in porosity from frequency reported by Guzev et al [6] and Zheng et al [8]. Researchers have noted an increase in porosity of 40-45% in the frequency range 8-20 Hz.…”
Section: Experience In the Use Of Wave Action In The Perm Regionsupporting
confidence: 84%
See 2 more Smart Citations
“…The dynamics of changes in additional oil production from frequency coincides with the dynamics of changes in porosity from frequency reported by Guzev et al [6] and Zheng et al [8]. Researchers have noted an increase in porosity of 40-45% in the frequency range 8-20 Hz.…”
Section: Experience In the Use Of Wave Action In The Perm Regionsupporting
confidence: 84%
“…Guzev et al [6] and Zheng et al [8] noted an increase in porosity by 40-45% in the frequency range of 8-20 Hz. Increasing the frequency to 20 Hz leads to a decrease in the effect of wave action.…”
Section: Low-frequencymentioning
confidence: 96%
See 1 more Smart Citation
“…In the existing theoretical and experimental works, there are not many dependencies that describe the change in the elastic modulus of a rock under the action of a dynamic load. In [41] a classical model (based on the model of Jaeger J.C. [42]) is presented for clastic rock, which is capable of describing the behavior (dispersion) of the dynamic modulus of elasticity in accordance with a power law on the basis of physically substantiated relations. Gradient models (see for example [43,44]) can be considered as a non-classical model capable of reflecting the variance of Young's modulus.…”
Section: Discussionmentioning
confidence: 99%
“…As the frequency of applied load increases, the rocks strengthen, but microfractures that facilitate fluid filtration have not been considered [18][19][20].…”
mentioning
confidence: 99%