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Use of functional cluster analysis of CPTU data for assessment of a subsoil rigidity

Zb. Młynarek

Zb. Młynarek

Poznań University of Life SciencesPoznań, Poland
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Młynarek, Zb.
, 
J. Wierzbicki

J. Wierzbicki

Institute of Geology, Adam Mickiewicz University in PoznańPoznań, Poland
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Wierzbicki, J.
 und 
W. Wołyński

W. Wołyński

Faculty of Mathematics and Computer Science, Adam Mickiewicz University in PoznańPoznań, Poland
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Wołyński, W.
  
03. Okt. 2018
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Artikel-Kategorie: Research Article
Online veröffentlicht: 03. Okt. 2018
Seitenbereich: 117 - 124
Eingereicht: 14. Jan. 2018
Akzeptiert: 17. Aug. 2018
DOI: https://doi.org/10.2478/sgem-2018-0017
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© 2018 Zb. Młynarek et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Figure 1

Location of the test site in Poland.
Location of the test site in Poland.

Figure 2

Typical soil and CPTU profiles of the test site.
Typical soil and CPTU profiles of the test site.

Figure 3

The division of a subsoil sample according to the concept of functional data analysis.
The division of a subsoil sample according to the concept of functional data analysis.

Figure 4

Indication of optimal cluster number based on the Caliński-Harabasz criterion (a) and the mean weighted coefficient of variation for index Ic (b).
Indication of optimal cluster number based on the Caliński-Harabasz criterion (a) and the mean weighted coefficient of variation for index Ic (b).

Figure 5

Location of the tested soils and the soil behaviour chart, according to Robertson [5].
Location of the tested soils and the soil behaviour chart, according to Robertson [5].

Figure 6

Changes in the constrained modulus M with depth alongthree arbitrarily selected CPTU profiles.
Changes in the constrained modulus M with depth alongthree arbitrarily selected CPTU profiles.

Figure 7

Graphs of the spline funcion in CPTU profiles 1 and 3, smoothing the course of dependencies of modulus M on depth, assumed for coefficient K=6.
Graphs of the spline funcion in CPTU profiles 1 and 3, smoothing the course of dependencies of modulus M on depth, assumed for coefficient K=6.

Figure 8

Dendrograms of the clustering hierarchy of curves M = f(z) from the CPTU testing of sites within the range of depth of 2–8 m for the strongly smoothed function (K=6) and weakly smoothed function (K=16).
Dendrograms of the clustering hierarchy of curves M = f(z) from the CPTU testing of sites within the range of depth of 2–8 m for the strongly smoothed function (K=6) and weakly smoothed function (K=16).

Figure 9

Division of testing area in view of the subsoil rigidity model for the depth range of 2–8 m, 2–5 m and 5–8 m.
Division of testing area in view of the subsoil rigidity model for the depth range of 2–8 m, 2–5 m and 5–8 m.

Figure 10

Models of subsoil rigidity composed on the basis of constrained modulus M along a section selected in the investigated area, determined by IDW based on (a) values of moduli determined from Eqs. (4) and (5), (b) mean values of moduli for isolated soil layers, (c) the mean of the function f(z)=M for isolations in the depth range of 2–8 m and (d) the mean of the function f(z)=M for isolations in depth ranges of 2–5 m and 5–8 m.
Models of subsoil rigidity composed on the basis of constrained modulus M along a section selected in the investigated area, determined by IDW based on (a) values of moduli determined from Eqs. (4) and (5), (b) mean values of moduli for isolated soil layers, (c) the mean of the function f(z)=M for isolations in the depth range of 2–8 m and (d) the mean of the function f(z)=M for isolations in depth ranges of 2–5 m and 5–8 m.

Figure 11

Graphs of mean of the function f(z)=M for isolations A, B and C assumed in the depth range of 2–8 m.
Graphs of mean of the function f(z)=M for isolations A, B and C assumed in the depth range of 2–8 m.
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