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Modeling of rigid inclusion ground improvements in large-scale geotechnical simulations

 y   
27 jul 2024

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Figure 1:

Scheme of the reference problem.
Scheme of the reference problem.

Figure 2:

Numerical model for Approach I: (a) model subdivision by type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.
Numerical model for Approach I: (a) model subdivision by type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.

Figure 3:

Numerical model for Approach II: (a) model subdivision by the type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.
Numerical model for Approach II: (a) model subdivision by the type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.

Figure 4:

Numerical model for Approach III: (a) model subdivision by the type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.
Numerical model for Approach III: (a) model subdivision by the type of continuum material; (b) finite element mesh-axonometric view; and (c) finite element mesh-top view.

Figure 5:

Comparison of displacement maps according to selected design approaches.
Comparison of displacement maps according to selected design approaches.

Figure 6:

Comparison of total vertical stress maps according to selected design approaches.
Comparison of total vertical stress maps according to selected design approaches.

Figure 8:

Cross section through the dam.
Cross section through the dam.

Figure 9:

Numerical model of the area under consideration.
Numerical model of the area under consideration.

Figure 10:

Visualization of construction stages of the dam.
Visualization of construction stages of the dam.

Figure 11:

Contour plot of vertical displacement at the foundation level of the conduit pipe.
Contour plot of vertical displacement at the foundation level of the conduit pipe.

Figure 12:

Displacement Y of conduit on deformed mesh: (a) perspective view (b) side view.
Displacement Y of conduit on deformed mesh: (a) perspective view (b) side view.

Figure 13:

An example view of the RVE model (yellow color – column, blue color – soil).
An example view of the RVE model (yellow color – column, blue color – soil).

Figure 14:

Displacement Y of the conduit on the deformed mesh for Approach II: (a) perspective view (b) side view.
Displacement Y of the conduit on the deformed mesh for Approach II: (a) perspective view (b) side view.

Figure 15:

Displacement Y of the conduit on the deformed mesh for Approach III: (a) perspective view and (b) side view.
Displacement Y of the conduit on the deformed mesh for Approach III: (a) perspective view and (b) side view.

List of elastic parameters for soil without column with comparison to equivalent medium corresponding to specific soil with inclusion_

Layer Eo ν Eo, eff νeff

- MPa - MPa -
IIIa 22 0.37 2363 0.01
B1 45 0.44 2457 0.05
Cb1 35 0.48 2569 0.10
B2 140 0.42 2624 0.09
B3 180 0.43 2724 0.12
Cb2 150 0.46 2796 0.17

List of geotechnical parameters for rock layers_

Rock layers adopted for computations Depth range Density P Deformation modulus Eo Poisson ratio ν Friction angle □ Cohesion c
- m g/cm3 MPa - ° kPa
A - 2.22 18 0.25 21.0 500
B <6 2.25 45 0.44 19.0 400
B 6–14 2.25 140 0.42 19.0 400
B >14 2.35 180 0.43 19.0 400
Ca - 2.28 42 0.46 18.0 100
Cb1 <16 2.35 35 0.48 18.5 200
Cb2 >16 2.35 150 0.46 18.5 200
Cc - 2.25 4 0.45 18.5 200
D - 2.15 14 0.50 19.0 400

List of geotechnical parameters for soils_

Layer name Soil type Liquidity index/density index Density ρ Modulus Eo Poisson ratio ν Friction angle f Cohesion c

- - - g/cm3 MPa - ° kPa
Soils
IIc siCl, saCl IL<0.25 2.08 6.0 0.32 11 30
IId siCl, saCl 0.25< IL <0.5 2.00 3.9 0.32 8 20
IIe siCl, saCl 0.5< IL <1.0 1.98 3.6 0.32 6 10
IIb Gr, saGr 0.33<ID<0.67 1.90 80 0.32 38 0
IIa MSa 0.33<ID<0.67 1.75 60 0.32 32 0
IIc saCl 0.25< IL <0.5 2.15 27 0.32 23 20
IIf grCl 0.5< IL <1.0 2.12 9 0.32 18 10
IIIa Cl IL <0 2.15 22 0.37 13 60
IIIb Cl 0< IL <0.25 2.00 17 0.37 11 52
IIIc Cl 0.25< IL <0.5 1.85 12 0.37 9 44
Dam body 2.20 55 0.32 33 0
Impermeable core 2.20 25 0.3 15 15

Summary of displacement values_

Maximum vertical displacement of the conduit pipe Maximum difference in displacement between subsequent segments
Subsoil without columns 6.2 cm 2.2 cm
Subsoil with column (Approach II) 3.7 cm 0.9 cm
Subsoil with column (Approach III) 2.6 cm 0.8 cm