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Determination of Mechanical Properties of Soils Based on CPTU Data


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INTRODUCTION

Due to the rapid development of civil engineering, especially road engineering, it is increasingly inevitable to use the areas characterized by problematic soil and water conditions. Therefore, structures located in such areas require shallow and deep foundations or soil improvement. The methods of soft soil improvement have been classified in many different ways. Chu et al. [1] divided them into five groups: ground improvement without admixtures in non-cohesive soils or fill materials, ground improvement without admixtures in cohesive soils, ground improvement with admixtures or inclusions, ground improvement with grouting type admixtures and earth reinforcement. The selection of the technique of soil improvement mainly depends on the soil type, area, depth and treatment required, soil properties, availability of materials, availability of skills, local experience and local preferences, environmental concerns and economics [2,3,4].

One of the improvement methods classified by Chu et al. [1] as ground improvement with admixtures or inclusions technique is the use of geosynthetic encased columns (GEC). GEC columns are designed to reinforce organic soils and very soft cohesive soils in which other technologies are inapplicable. Columns are constructed of a seamless geosynthetic cylindrical reinforcement sleeve, usually sand-filled. Geosynthetic encased columns can be performed by displacement or excavation methods. The displacement method improves the subsoil even before the load is applied. The reason for this phenomenon is a reduced soil porosity resulting from installing a closed-cast pipe. The effect of the GEC column implementation technique on its performance was presented by Meyer et al. [5]. The choice of the GEC installation method depends on the soil conditions and area characteristics and affects the surrounding soil-column interaction [5].

The guidelines for GEC column designing are contained in Recommendations for Design and Analysis of Earth Structures using Geosynthetic Reinforcements – EBGEO [6]. The EBGEO include detailed information on soft strata surrounding the GEC column and characteristics of the column, such as its minimum diameter, minimum and maximum length, fill and geosynthetic casing. In addition, according to EBGEO, the load-bearing soil deposited below the GEC column base should be characterized by the constrained modulus Eoed higher than 5 MPa (Eoed > 5 MPa) and an effective friction angle φ’ higher than 30° (φ’ > 30°).

The soft strata and load-bearing soil should be tested in detail. The precise identification of the subsoil and its parameters determine the correct reinforcement design, including establishing the column length. The installation of the geosynthetic encased column base in soft soils can be related to excessive settlements and bearing capacity failure at the construction, initial consolidation or exploitation stages. No clear design guidelines for reinforcement using floating GEC columns are available. However, they are frequently performed for economic and construction reasons.

The parameters of improved subsoil should be determined using various methods, including field and laboratory tests. However, the detailed investigation mainly relates to very soft soils characterized by variable properties even within one deposit and their ability to change properties with time [7, 8]. In practice, soil tests are usually limited to macroscopic analysis and basic soundings. Restricted investigations are caused by economic aspects and reduction of cost investment.

One of the most commonly used field investigation methods is the cone penetration test with pore pressure measurement (CPTU). The method has been successfully used for decades to determine physical and mechanical soil properties. However, properly determining geotechnical parameters based on CPTU data requires high-level skills, experience and knowledge. The most significant difficulty is the interpretation of the measurements obtained [9]. Nevertheless, a wide range of relationships for interpreting CPTU data is available in the literature [10,11,12,13,14,15]. According to those correlations, the geotechnical parameters depend on cone resistance (qc), sleeve friction (fs) and pore water pressure (u2) registered during the CPTU test or other parameters derived based on them.

The study aimed to determine the geotechnical properties of the subsoil related to the geosynthetic encased column installation. The constrained modulus and effective friction angle were established based on the CPTU data. The results were compared with the EBGEO requirements. The analysis mainly referred to the properties of load-bearing soil deposited below the GEC column base.

LOCATION AND CHARACTERISTICS OF THE STUDY AREA

The subsoil under one of the sections of the bypass in north-eastern Poland was analyzed (Figure 1). The area under consideration was about 200 m long. Organic soils, mainly peat and mud with a variable thickness of approximately 3–8 m, were found in the considered subsoil. Organic soils were characterized by high variability of physical and mechanical properties and by very soft consistency. Below the organic soils, the glacial sediments in the form of very soft and soft cohesive soils with the local addition of organic soils were deposited. The water content and, therefore, the liquidity index of cohesive soils decreased with depth to a value corresponding to a firm consistency. The groundwater level was at a depth of 0.3 m to 1.2 m below the soil surface. Piezocone tests were performed at 12 points from S1 to S12 to a depth of about 12 m. The test points were located every 15 m along the section under consideration. The geotechnical cross-section of the analyzed subsoil and CPTU test locations are shown in Figure 2.

Figure 1.

Location of the study area (based on [16])

Figure 2.

The geotechnical cross-section of the analyzed subsoil and CPTU test locations

The geosynthetic encased columns with a diameter of 0.8 m were designed to improve the soft soils deposited in the analyzed area. The columns were spaced in a triangle grid with a dimension of 1.97 m, corresponding to an area ratio of 15%. The displacement method was used for the GEC columns installation. According to the design, the column base should be at least 0.5 m in load-bearing soil characterized by the constrained modulus higher than 5 MPa.

Piezocone tests were carried out at the design stage in February 2014 and were repeated in June 2014 during the construction process by another company. A second series of CPTU tests were performed ten days after the installation of approximately 20 GEC columns near the S11 and S12 locations. The re-investigation was related to problems after the partial GEC columns installation. The problems were related to the excessive settlement of improved subsoil.

INTERPRETATION OF CPTU TEST RESULTS

Many correlations have been developed to determine physical and mechanical soil properties based on CPTU test results. These correlations apply to a wide range of soil types and vary in their applicability and reliability. Robertson and Cabal [15] presented a five-steps scale to assess the relevance of CPTU for deriving soil parameters. The researchers found that the determination of the in-situ stress ratio K0 and over-consolidation ratio OCR of coarse-grained (sandy) soils based on CPTU data is characterized by low reliability. However, the applicability and reliability of the correlations for deriving undrained shear strength su and OCR ratio of fine-grained (clayey) soils are high. Relationships used to estimate the constrained modulus Eoed and effective friction angle φ’ are characterized by moderate reliability [15].

Constrained modulus

The constrained modulus is one of the parameters characterizing soil compressibility. Its value varies with the effective stress, soil type and soil structure [17]. In the CPTU interpretations, the constrained modulus of various soil types may be described by the following expression [11, 18, 19]: Eoed=αmqc {E_{oed}} = {\alpha _m}{q_c} where αm – coefficient depending on the local experience, qc – measured cone resistance.

Sanglerat [19] reported that αm values vary from 0.4 to 8, depending on the soil type and cone resistance. Therefore, the lowest value of αm coefficient is assigned to peat characterized by qc < 0.7 MPa and water content w > 200%, while it is the highest for clays with low plasticity (qc ≤ 0.7 MPa) and very organic silts (qc < 1.2 MPa).

The constrained modulus may also be expressed as a function of the net cone resistance qn, which considers vertical stress [12,13,14, 20,21,22]. The relation expressed by Equation (2) is currently used in CPTU interpretation [23]. Eoed=αnqn {E_{oed}} = {\alpha _n}{q_n} where: qn = qtσv0, qt – corrected cone resistance, σv0 – in-situ vertical stress, αn – coefficient depending on the local experience.

Generally, αn varies with values from 2 to 10 [20, 21]. Mayne [12, 13] suggested a general value of αn coefficient equal to 5. However, Robertson [14] assumed that the αn coefficient depends on the normalized cone resistance Qt. Qt=(qtσv0)/σv0 {Q_t} = \left( {{q_t} - {\sigma _{v0}}} \right)/\sigma _{v0}^\prime where σv0 – in-situ vertical effective stress.

For fine-grained soils, αn = Qt when Qt < 14 and αn = 14 when Qt > 14.

According to Senneset et al. [21], semiempirical relationships using CPTU data provide a relatively good prediction of the constrained modulus of clayey soils.

Friction angle

The determination of effective strength parameters of cohesive soils from CPTU data is characterized by low accuracy [24]. However, the method for establishing the effective friction angle based on CPTU parameters considered the most accurate is the method presented by Senneset et al. [25] and supplemented by Sandven et al. [26]. The equation suggested by the researchers is as follows: qn=Nm(σv0+a) {q_n} = {N_m}\left( {\sigma _{v0}^\prime + a} \right) where: a – attraction parameter, Nm=(Nq – 1)/(1+Nu Bq), Nq and Nu – bearing capacity factors depending on the effective friction angle φ’, Bq – pore pressure ratio, Bq= Δu/qn, Δu – excess penetration pore pressure. The value of the attraction parameter for clays should be taken from the range of 5–50 kPa, while for silts, a = 0–30 kPa.

Tschuschke's approach [27] can simplify the selection of a parameter when only CPTU data are available. The researcher presented the approximate friction ratios Rf calculated as Rf = 100fs/qt for soils with different clay content. Thus, for clays characterized by a clay content of more than 10%, the friction ratio is higher than 2.65% and reaches a maximum value of approximately 5.83%. Whereas in silts with a clay content lower than 10%, Rf = 2.5–3.0%. Moreover, silts are characterized by Bq ≫ 0 or the negative value of the Bq parameter. The friction ratio in low cohesive clayey sands ranges from 0.5 to 1.5%, while Bq > 0.2 [27].

According to Mayne [12], the effective friction angle of fine-grained soils can be obtained from the equation below. φ=29.5Bq0.121(0.256+0.336Bq+logQt) \varphi ' = 29.5B_q^{0.121}\left( {0.256 + 0.336{B_q} + log{Q_t}} \right)

Equation (5) is applicable only for the following ranges of parameters: 20° ≤ φ’ ≤ 40° and 0.1 ≤ Bq ≤ 1.0, which significantly limits its application.

RESULTS

Figure 3 shows the cone resistance qc, sleeve friction fs and pore water pressure u2 measured in February and June 2014. The results obtained at test points S1–S12 have been averaged. Figure 4 shows the normalized cone resistance Qt, undrained shear strength su, effective cohesion c’ and overconsolidation ratio OCR for a typical location (S7) for February and June 2014 tests.

Figure 3.

Averaged measurements of (a) cone resistance; (b) sleeve friction; (c) pore water pressure

Figure 4.

Values of (a) normalized cone resistance; (b) undrained shear strength; (c) effective cohesion; (d) overconsolidation ratio in location S7

It can be observed in Figure 3 that the average cone resistance increases with depth, which is directly related to the occurrence of organic soils and the decreasing liquidity index of the cohesive soils deposited below the organic soil layer. The qc values obtained from the February and June 2014 tests are similar and, at some depths, nearly the same. However, a significant difference between the averaged results of the February and June 2014 tests can be observed in the sleeve friction to a depth of approximately 2 m below the ground surface. The difference is also seen in the distribution of the fs values at depth. As observed in Figure 3, the averaged pore water pressure to a depth of 6 m measured in February and June is similar. In contrast, the u2 values at a depth of approximately 11.5 m below the ground surface determined in June are three times higher than that measured in February. The difference could be caused by difficulties and problems in determining and interpreting pore water pressure measurements [28]. However, the differences may have been caused by different specifications of the used equipment and differences in the experience of the penetrometer operators, including imprecise determination of the test locations.

It can be seen in Figure 4 that similar values of undrained shear strength and effective cohesion were obtained based on the February and June tests. The normalized cone resistance and overconsolidation ratio differ depending on the test date, reaching lower values for the June 2014 tests.

Constrained modulus

The values of the constrained modulus obtained at test points S1–S12 for the February and June 2014 tests are presented in Figure 5 as a function of depth. The Eoed calculations were conducted based on Equation (2) for a general value of αn coefficient αn = 5 proposed by Mayne [12, 13]. Due to the various thicknesses of the soft soil layer along the section under consideration, the length of the GEC columns was also variable, ranging from 3.7 to 9.9 m. Therefore, the depth of the column base at each location is also shown in Figure 5.

Figure 5.

The values of the constrained modulus Eoed estimated at test points (a) – (l) S1 – S12

Based on Figure 5, it can be generally concluded that the constrained modulus increases with depth. A noticeable difference can be observed between the Eoed values calculated based on the February and June 2014 tests, especially at locations S4, S11 and S12. However, at points: S3 and S5–S9, the Eoed parameter is nearly the same for both tests at the whole depth. The difference between the constrained modulus calculated based on February and June tests at a depth of column base varies from 1% at test point S5 to 46% at point S12. However, the average difference considering all locations equals approximately 20%. It can be observed in Figure 5 that the constrained modulus calculated based on the February data at a depth of the GEC column base exceeds the EBGEO recommended value of 5 MPa at eight locations (S2, S4–S7, S10–S12). Considering the June research, only four test points (S3, S5, S10, S11) meet the EBGEO requirements. Therefore, it implies that the GEC columns are too short in most locations, which may affect the excessive settlements.

The EBGEO recommendations do not include specific requirements for the depth of soil testing below the base of the GEC column. However, as Figure 5 shows, the depth of CPTU tests is too shallow in some locations, reaching the bottom of the column or slightly deeper. It mainly applies to points S6, S8 and S11.

Friction angle

Equation (4) was used to determine the effective friction angle of the analyzed soils. The attraction parameter a was established based on the friction and pore pressure ratios shown in Figure 6.

Figure 6.

Dependence of (a) friction ratio Rf; (b) pore pressure ratio Bq on depth at locations S1–S12

As seen in Figure 6, a large spread of Rf and Bq values is noticeable without any evident dependence on depth. Therefore, it assumed the constant value of the attraction parameter. The average friction ratio calculated based on the February and June 2014 data is similar and equals 2.35% and 1.85%, respectively. The average values of the pore pressure ratio are 0.023 for February tests and 0.113 for June tests. The Rf parameter is lower than that suggested for silts and clays by Tschuschke [27]. However, the pore pressure ratio corresponds to Bq values characteristic of silt. Therefore, the value of the attraction parameter was assumed to be 30 kPa. The obtained results of the effective friction angle in locations S1–S12 are presented in Figure 7.

Figure 7.

The values of the effective friction angle φ’ estimated at test points (a) – (l) S1 – S12

Generally, the same dependence of the effective friction angle on depth can be observed for all tests. Relatively high values of φ’ parameter at shallow depths can be related to the low excess pore water pressure Δu, affecting the low pore pressure ratio Bq.

In most locations, the February and June results are similar. The average difference between the effective friction angle of soil at a depth of the column base for both investigations considering all locations equals approximately 12%.

As shown in Figure 7, even for the maximum value of the attraction parameter assumed for silts, the effective friction angle of soil deposited below the GEC column base does not meet the EBGEO requirements at most locations and φ’ values significantly differ from the required value of 30°. According to February 2014 tests only at S4 and S11 locations, the length of the columns is appropriate. Whereas for the June tests, these are points S4 and S5. The inappropriate length of GEC columns can result in bearing capacity failure.

Based on Figures 5 and 7, it can be concluded that the minimum value of the constrained modulus of soil deposited below the GEC column base equal to 5 MPa is too low compared with the effective friction angle of 30°.

CONCLUSIONS

The following general conclusions can be derived from the performed analysis:

A noticeable difference can be observed between the February and June 2014 test results.

Both investigations established that the constrained modulus and effective friction angle of the soil deposited below the GEC column base did not meet EBGEO requirements at most locations.

EBGEO requirements should be completed with information on the minimum depth of soil testing under the geosynthetic encased column base.

The minimum value of the constrained modulus of soil deposited below the GEC column base required by EBGEO is too low compared with the requested value of the effective friction angle.

Determination of the constrained modulus and effective friction ratio based on CPTU data is possible. However, the results should be compared with the results of laboratory tests.

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