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Importance of seismic wave frequency in FEM-based dynamic stress and displacement calculations of the earth slope

Krzysztof Fuławka

Krzysztof Fuławka

KGHM CUPRUM Ltd. Research and Development CentreWrocław, Poland
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Fuławka, Krzysztof
, 
Anna Kwietniak

Anna Kwietniak

AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, Department of GeophysicsKraków, Poland
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Kwietniak, Anna
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Vera Lay

Vera Lay

Technical University Bergakademie Freiberg, Institute of Geophysics and Geoinformatics, Bundesanstalt für Materialforschung und prüfungFreiberg,
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Lay, Vera
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Izabela Jaśkiewicz-Proć

Izabela Jaśkiewicz-Proć

KGHM CUPRUM Ltd. Research and Development CentreWrocław, Poland
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Jaśkiewicz-Proć, Izabela
  
09. Feb. 2022
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Artikel-Kategorie: Original Study
Online veröffentlicht: 09. Feb. 2022
Seitenbereich: 82 - 96
Eingereicht: 22. Juni 2021
Akzeptiert: 16. Dez. 2021
DOI: https://doi.org/10.2478/sgem-2022-0002
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© 2022 Krzysztof Fuławka et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Comparison of spectrograms for mining-induced high-energy tremors with energy of 1.9 × 109 J (left) and 1.2 × 107 J (right).
Comparison of spectrograms for mining-induced high-energy tremors with energy of 1.9 × 109 J (left) and 1.2 × 107 J (right).

Figure 2

The dominant frequency content of LGCB mining-induced tremors in relation to their epicentral distance and energy (over 430 entries, vertical and horizontal components were studied).
The dominant frequency content of LGCB mining-induced tremors in relation to their epicentral distance and energy (over 430 entries, vertical and horizontal components were studied).

Figure 3

The spectral amplitude characteristic of harmonic signals used in FEM dynamic analysis.
The spectral amplitude characteristic of harmonic signals used in FEM dynamic analysis.

Figure 4

Geometry of slope used for numerical simulation.
Geometry of slope used for numerical simulation.

Figure 5

Maximum element size in the dynamic model according to Kuhlemeyer and Lysmer law (blue line) and element size used for the purposes of this analysis (red bars).
Maximum element size in the dynamic model according to Kuhlemeyer and Lysmer law (blue line) and element size used for the purposes of this analysis (red bars).

Figure 6

Analysed variants of seismic load direction.
Analysed variants of seismic load direction.

Figure 7

Matrix of numerical scenarios used for the presented research.
Matrix of numerical scenarios used for the presented research.

Figure 8

The calculated absolute values of displacement (top) and shear stress (down) changes at the base of the analysed slope depending on the used frequency.
The calculated absolute values of displacement (top) and shear stress (down) changes at the base of the analysed slope depending on the used frequency.

Figure 9

The maximum calculated value of total displacement (top) and shear stress (bottom) at the base of the slope for all 180 cases.
The maximum calculated value of total displacement (top) and shear stress (bottom) at the base of the slope for all 180 cases.

Figure 10

The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is the same as the direction of slope failure.
The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is the same as the direction of slope failure.

Figure 11

The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is opposite to the direction of slope failure.
The RSM surface map of the relation between dominant frequency, slope angle and displacement (left) and shear stress (right) for scenarios in which the direction of seismic load is opposite to the direction of slope failure.

Material parameters used for numerical simulation_

Parameter Unit weight Young modulus Poisson ratio Tensile strength Cohesion Friction angle Dilation angle
Unit kN/m3 kPa - kPa kPa ° °
Value 19 100,000 0.4 5 5 38 0
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