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Calibration of the Numerical Model of a Dynamic Replacement Column Formed Under Laboratory Conditions Cover

Calibration of the Numerical Model of a Dynamic Replacement Column Formed Under Laboratory Conditions

Open Access
|Sep 2025

Figures & Tables

Figure 1.

Test bench: a) damping of the side walls with mineral wool, b) view of the clay layer with foil protection
Test bench: a) damping of the side walls with mineral wool, b) view of the clay layer with foil protection

Figure 2.

Crater depths after individual pounder blows
Crater depths after individual pounder blows

Figure 3.

Inventoried shape of the columns: a) No. 1, b) No. 2
Inventoried shape of the columns: a) No. 1, b) No. 2

Figure 4.

Numerical model
Numerical model

Figure 5.

Primary stress values before modelling dynamic replacement
Primary stress values before modelling dynamic replacement

Figure 6.

View of the model in the characteristic stages associated with the first fill: a) after the 3rd pounder drop, b) free-falling aggregate into the crater, c) backfill after pouring into the crater, d) after pounder drop into the aggregate
View of the model in the characteristic stages associated with the first fill: a) after the 3rd pounder drop, b) free-falling aggregate into the crater, c) backfill after pouring into the crater, d) after pounder drop into the aggregate

Figure 7

View of the model after the pounder blow in: a) 4 charges, b) 6 charges, c) 8 charges, d) 11 charges
View of the model after the pounder blow in: a) 4 charges, b) 6 charges, c) 8 charges, d) 11 charges

Figure 8.

Diagram of vertical displacements of the SPH element occurring directly under the base of the column (the first discharge into the aggregate after 2 s, preceded by 3 discharges forming the crater)
Diagram of vertical displacements of the SPH element occurring directly under the base of the column (the first discharge into the aggregate after 2 s, preceded by 3 discharges forming the crater)

Figure 9

Shapes of the obtained columns: a) numerical column, b) comparison of shapes: numerical and laboratory
Shapes of the obtained columns: a) numerical column, b) comparison of shapes: numerical and laboratory

Figure10.

Diagram of vertical displacements of the SPH element occurring in the upper part of the model directly next to the dropped pounder
Diagram of vertical displacements of the SPH element occurring in the upper part of the model directly next to the dropped pounder

Figure 11.

Comparison of the depth of the crater obtained in laboratory tests and SPH+FEM calculations
Comparison of the depth of the crater obtained in laboratory tests and SPH+FEM calculations

Adopted constitutive models and their parameters

Lp.KindConstitutive model adoptedModel parameters
1.Pounder020-RigidE=210 GPa, ν=0.3, γ=74 kN/m3,
2.Base layerMedium sand, ID=0.88173-Mohr-CoulombG=41.7 MPa, ϕ=33, c=0 kPa, ν=0.2, γ=18 kN/m3
3.Improved layerSilty clay IL=0.7173-Mohr-Coulomb (Tresca criterion)G=1.39 MPa, Su=10.2 kPa, ν=0.31, γ=18.7 kN/m3
4.DR column aggregate173-Mohr-CoulombG=6.86 MPa, ϕ=47, c=0 kPa, ν=0.2, γ=18 kN/m3
5.Pounder contact elements– SPH elementsNdFS=0.5FD=0.4
DOI: https://doi.org/10.2478/acee-2025-0036 | Journal eISSN: 2720-6947 | Journal ISSN: 1899-0142
Language: English
Page range: 137 - 146
Submitted on: Jun 10, 2024
Accepted on: Aug 12, 2025
Published on: Sep 30, 2025
Published by: Silesian University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2025 Sławomir KWIECIEŃ, Piotr KANTY, Ameen TOPA, Michał SOBOTA, published by Silesian University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.