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The Use of CPTU and DMT Methods to Determine Soil Deformation Moduli—Perspectives and Limitations


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Figure 1:

Photographs of deformation grids caused by the penetration in the soil of cone-shaped and wedge-shaped penetrometers (after Baligh and Scott, 1975).
Photographs of deformation grids caused by the penetration in the soil of cone-shaped and wedge-shaped penetrometers (after Baligh and Scott, 1975).

Figure 2:

Reduction of shear modulus with level of strain (after Mayne, 2001).
Reduction of shear modulus with level of strain (after Mayne, 2001).

Figure 3:

Sensitivity to σh of measured parameters in CPTU and DMT tests (after Marchetti, 1998).
Sensitivity to σh of measured parameters in CPTU and DMT tests (after Marchetti, 1998).

Figure 4:

Grouping of the penetrometers after Ward’s method (dendrograms for qt and fs) (after Gauer et al. 2002).
Grouping of the penetrometers after Ward’s method (dendrograms for qt and fs) (after Gauer et al. 2002).

Figure 5:

Grouping of the penetrometers after Ward’s method (dendrograms for u2) (after Gauer et al. 2002).
Grouping of the penetrometers after Ward’s method (dendrograms for u2) (after Gauer et al. 2002).

Figure 6:

Total variation sum of precision and mean noise level for qt, u and fs for different penetrometers (after Gauer et al. 2002).
Total variation sum of precision and mean noise level for qt, u and fs for different penetrometers (after Gauer et al. 2002).

Figure 7.

Prediction of undrained shear strength of Onsoy clay by different penetrometers (after Młynarek et al. 2007).
Prediction of undrained shear strength of Onsoy clay by different penetrometers (after Młynarek et al. 2007).

Figure 8:

Penetration resistance vs. penetration depth (after Yu, 2004).
Penetration resistance vs. penetration depth (after Yu, 2004).

Figure 9:

Classification and CPTU data; (a) Soil units, (b) natural water content and Atterberg limits, (c) total unit weight, (d) clay particle and fines content, (e) corrected cone resistance, qt, (f) pore pressure, u2, and (g) sleeve friction, fs (after Paniagua et al. 2021).
Classification and CPTU data; (a) Soil units, (b) natural water content and Atterberg limits, (c) total unit weight, (d) clay particle and fines content, (e) corrected cone resistance, qt, (f) pore pressure, u2, and (g) sleeve friction, fs (after Paniagua et al. 2021).

Figure 10:

e-log p relationship for different sample quality for Ariake clay (after Tanaka 2007).
e-log p relationship for different sample quality for Ariake clay (after Tanaka 2007).

Figure 11:

Normalized IV compression curves—Athlone grey organic clay (after Long, 2002).
Normalized IV compression curves—Athlone grey organic clay (after Long, 2002).

Figure 12:

Static penetration diagram for horizontal (a) and diagonal (b) lamination of clay (after Młynarek et al. 1988), where: z—depth of penetration, D—cone diameter, gd—soil dry unit weight.
Static penetration diagram for horizontal (a) and diagonal (b) lamination of clay (after Młynarek et al. 1988), where: z—depth of penetration, D—cone diameter, gd—soil dry unit weight.

Figure 13:

Relationship between mean value of coefficients of cone resistance and direction of lamination (after Młynarek et al. 1988).
Relationship between mean value of coefficients of cone resistance and direction of lamination (after Młynarek et al. 1988).

Figure 14:

Calcium carbonate cementation of silts (after Stefaniak 2014).
Calcium carbonate cementation of silts (after Stefaniak 2014).

Figure 15:

Sample results of CPTU and DMT tests in the analyzed soils against the lithological profile (after Młynarek et al. 2016).
Sample results of CPTU and DMT tests in the analyzed soils against the lithological profile (after Młynarek et al. 2016).

Figure 16:

Results of oedometer tests of glacial tills of Posnanian phase and the values of preconsolidation stress, determined via Casagrande (left) and Janbu’s (right) methods (after Wierzbicki 2010).
Results of oedometer tests of glacial tills of Posnanian phase and the values of preconsolidation stress, determined via Casagrande (left) and Janbu’s (right) methods (after Wierzbicki 2010).

Figure 17:

Changes in OCR in the glacial till profile (after Młynarek et al. 2016).
Changes in OCR in the glacial till profile (after Młynarek et al. 2016).

Figure 18:

Nomogram for calculating the OCR values of cohesive soils with plasticity index IP<30%, based on the Qt parameter and the IP value (after Wierzbicki 2010).
Nomogram for calculating the OCR values of cohesive soils with plasticity index IP<30%, based on the Qt parameter and the IP value (after Wierzbicki 2010).

Figure 19:

MCPTU and M moduli variation in comparison to σ′v0 (after Młynarek et al. 2016).
MCPTU and M moduli variation in comparison to σ′v0 (after Młynarek et al. 2016).

Figure 20:

Typical soil profile based on CPTU and DMT test results (Poznań test site), DR – relative density LI – liquidity index (Młynarek et al. 2012).
Typical soil profile based on CPTU and DMT test results (Poznań test site), DR – relative density LI – liquidity index (Młynarek et al. 2012).

Figure 21:

Location of the investigated soils on SBT (left) and normalized SBTn (right) classification charts (Młynarek et al. 2012), where Qtn = (qn/σatm)( σatm/σ′v0)n, n = 0.381Ic+0.05(σ′v0 /σatm)−0.15 (Robertson 1990).
Location of the investigated soils on SBT (left) and normalized SBTn (right) classification charts (Młynarek et al. 2012), where Qtn = (qn/σatm)( σatm/σ′v0)n, n = 0.381Ic+0.05(σ′v0 /σatm)−0.15 (Robertson 1990).

Figure 22:

Changes in OCR with depth for the Poznań test site (Młynarek et al. 2012).
Changes in OCR with depth for the Poznań test site (Młynarek et al. 2012).

Figure 23:

Relationship between constrained modulus M0 and overconsolidation ratio OCR for the Poznań test site (Młynarek et al. 2012).
Relationship between constrained modulus M0 and overconsolidation ratio OCR for the Poznań test site (Młynarek et al. 2012).

Figure 24:

Relationship between constrained modulus M0 and liquidity index LI (Młynarek et al. 2012).
Relationship between constrained modulus M0 and liquidity index LI (Młynarek et al. 2012).

Figure 25:

CPTU i DMT results in relation to geotechnical profile at example testing point (after Młynarek et al. 2015).
CPTU i DMT results in relation to geotechnical profile at example testing point (after Młynarek et al. 2015).

Figure 26:

Position of tested loess soils in the CPTU classification system by Robertson (1990) (a) and the DMT classification system by Marchetti-Craps (1981) (b) (after Młynarek et al. 2015).
Position of tested loess soils in the CPTU classification system by Robertson (1990) (a) and the DMT classification system by Marchetti-Craps (1981) (b) (after Młynarek et al. 2015).

Figure 27:

A relationship between constrained moduli from CPTU and DMT for the upper zone of the loess subsoil (after Młynarek et al. 2015).
A relationship between constrained moduli from CPTU and DMT for the upper zone of the loess subsoil (after Młynarek et al. 2015).

Figure 28:

A relationship between constrained moduli from CPTU and DMT for the lower zone of the loess subsoil (after Młynarek et al. 2015).
A relationship between constrained moduli from CPTU and DMT for the lower zone of the loess subsoil (after Młynarek et al. 2015).

Figure 29:

Comparison of MCPTU and MDMT values with Moed modulus (after Młynarek et al. 2016).
Comparison of MCPTU and MDMT values with Moed modulus (after Młynarek et al. 2016).

Figure 30:

Position of tested soils in the classification diagram by Rabarijoely (2013) (after Młynarek et al. 2015).
Position of tested soils in the classification diagram by Rabarijoely (2013) (after Młynarek et al. 2015).

Figure 31:

Changes in constrained modulus along with depth, determined using different methods (after Młynarek et al. 2006).
Changes in constrained modulus along with depth, determined using different methods (after Młynarek et al. 2006).

Figure 32:

Changes in constrained modulus along with depth, determined using different methods (after Młynarek et al. 2006).
Changes in constrained modulus along with depth, determined using different methods (after Młynarek et al. 2006).

Figure 33:

A comparison of moduli of compressibility determined on the basis of oedometer test with that of CPTU and DMT (after Młynarek et al. 2006).
A comparison of moduli of compressibility determined on the basis of oedometer test with that of CPTU and DMT (after Młynarek et al. 2006).

Figure 34:

Correlation between constrained moduli M0 from DMT and qn value from CPTU Młynarek et al. 2015.
Correlation between constrained moduli M0 from DMT and qn value from CPTU Młynarek et al. 2015.

Figure 35:

Shear stress vs. shear strain for soils and definition of tmax, G, gs and IR (after Mayne 2006).
Shear stress vs. shear strain for soils and definition of tmax, G, gs and IR (after Mayne 2006).

Figure 36:

Typical CPTU/SDMT profile from the Poznań test site: qt - corrected cone resistance, Rf - friction ratio, Ic – soil behavior type index, u2 – pore pressure behind the cone, G0 – initial shear modulus (after Młynarek et al. 2013), where LI – liquidity index, DR – relative density.
Typical CPTU/SDMT profile from the Poznań test site: qt - corrected cone resistance, Rf - friction ratio, Ic – soil behavior type index, u2 – pore pressure behind the cone, G0 – initial shear modulus (after Młynarek et al. 2013), where LI – liquidity index, DR – relative density.

Figure 37:

Trend of changes in shear modulus G0 with depth for SCPTU and SDMT performed in normally consolidated medium sands (after Młynarek et al. 2021).
Trend of changes in shear modulus G0 with depth for SCPTU and SDMT performed in normally consolidated medium sands (after Młynarek et al. 2021).

Figure 38:

Correlation between shear modulus G0 and cone resistance qc for the entire data population (after Młynarek et al. 2021).
Correlation between shear modulus G0 and cone resistance qc for the entire data population (after Młynarek et al. 2021).

Figure 39:

The correlation between modulus G0 and cone resistance qc taking into account the division into normally consolidated (blue dots) and preconsolidated (red dots) soils (after Młynarek et al. 2021).
The correlation between modulus G0 and cone resistance qc taking into account the division into normally consolidated (blue dots) and preconsolidated (red dots) soils (after Młynarek et al. 2021).

Figure 40:

The correlation between modulus G0 and cone resistance qc for normally consolidated soils taking into account the type of soil (after Młynarek et al. 2021).
The correlation between modulus G0 and cone resistance qc for normally consolidated soils taking into account the type of soil (after Młynarek et al. 2021).

Figure 41:

Relationship between the ratio G0/MDMT and KD according to Marchetti et al. (2008) (from Monaco et al. 2009).
Relationship between the ratio G0/MDMT and KD according to Marchetti et al. (2008) (from Monaco et al. 2009).

Figure 42:

Relationship between the ratio G0(m)/MDMT and KD in different soil types from all investigated sites (after Młynarek et al. 2022).
Relationship between the ratio G0(m)/MDMT and KD in different soil types from all investigated sites (after Młynarek et al. 2022).

Figure 43:

(a) Relationship between G0(m)/MDMT and KD in clay. (b) Comparison between G0(m) obtained from measured VS and G0(c) calculated according to Marchetti et al. (2008) for clay (after Młynarek et al. 2022).
(a) Relationship between G0(m)/MDMT and KD in clay. (b) Comparison between G0(m) obtained from measured VS and G0(c) calculated according to Marchetti et al. (2008) for clay (after Młynarek et al. 2022).

Figure 44:

(a) Relationship between G0(m)/MDMT and KD in sandy loam. (b) Comparison between G0(m) obtained from measured VS and G0(c) calculated according to Marchetti et al. (2008) for clay (after Młynarek et al. 2022).
(a) Relationship between G0(m)/MDMT and KD in sandy loam. (b) Comparison between G0(m) obtained from measured VS and G0(c) calculated according to Marchetti et al. (2008) for clay (after Młynarek et al. 2022).

Figure 45:

Relationship between G0(m)/σ′p and KD for sandy loam, loam, clay, and silt (after Młynarek et al. 2022).
Relationship between G0(m)/σ′p and KD for sandy loam, loam, clay, and silt (after Młynarek et al. 2022).

Figure 46:

Rigidity index (IR) vs. liquidity index (LI) (after Młynarek et al. 2018).
Rigidity index (IR) vs. liquidity index (LI) (after Młynarek et al. 2018).

Figure 47:

Rigidity index (IR) vs. preconsolidation stress (σ′p) (after Młynarek et al. 2018).
Rigidity index (IR) vs. preconsolidation stress (σ′p) (after Młynarek et al. 2018).

Figure 48:

Comparison of rigidity index IR determined with different formulas and obtained from investigations (after Młynarek et al. 2018).
Comparison of rigidity index IR determined with different formulas and obtained from investigations (after Młynarek et al. 2018).

Figure 49:

Scheme of quasi 3D model and 3D model for interpretation of CPTU data (after Młynarek et al. 2007).
Scheme of quasi 3D model and 3D model for interpretation of CPTU data (after Młynarek et al. 2007).

Figure 50:

Deformation profile of the subsoil constructed in the 1st step and 2nd step of clustering (after Młynarek et al. 2007).
Deformation profile of the subsoil constructed in the 1st step and 2nd step of clustering (after Młynarek et al. 2007).

Figure 51:

The model of subsoil stiffness calculated on the basis of G0 values from CPTU results (a) and SDMT results (b) (after Młynarek et al. 2012).
The model of subsoil stiffness calculated on the basis of G0 values from CPTU results (a) and SDMT results (b) (after Młynarek et al. 2012).

Guidance for assessment of Poisson ratio.

Soil type Poisson ratio
Dense sands 0.25 – 0.30
Loose sands, stiff clays 0.35 – 0.45
Satisfied clays ~ 0.50

Parameter values for equation (45) and coefficients of determination according to different soil types.

Soil type Parameters values of equation (45) Coefficient of determination

A [−] B [−] R2
Clay 342.75 −1.861 0.6102
Sandy loam 48.785 −1.294 0.7341
Loam 50.096 −1.114 0.6603
Silt 22.608 −0.998 0.7083
Sand 8.7499 −1.283 0.7684
Fine/silty sand 16.716 −1.184 0.6582

Criteria of the Norwegian Geotechnical Institute for the evaluation of sample quality

OCR Δe/e0

Very good Good Average Poor
1–2 <0.04 0.04–0.07 0.07–0.14 <0.04
2–4 <0.03 0.03–0.05 0.05–0.10 <0.04
eISSN:
2083-831X
Język:
Angielski
Częstotliwość wydawania:
4 razy w roku
Dziedziny czasopisma:
Geosciences, other, Materials Sciences, Composites, Porous Materials, Physics, Mechanics and Fluid Dynamics