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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
, 
Anna Kwietniak
Anna Kwietniak
, 
Vera Lay
Vera Lay
 und 
Izabela Jaśkiewicz-Proć
Izabela Jaśkiewicz-Proć
   | 09. Feb. 2022
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Article Category: 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
eISSN:
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Sprache:
Englisch
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