Distributed fibre-optic monitoring of an Osterberg-cell pile test in London

This paper presents a case study of an Osterberg-cell test of a pile located at the Isle of Dogs in London, which was heavily instrumented with distributed optical-fibre sensors, strain gauges, displacement transducers and extensometers. Special emphasis is given on the data from fibre optics, which offers an advantage due to their spatially continuous nature. The data show a clear development of shaft friction with the applied load and also some unexpected pile–soil slip within two of the soil layers, which is attributed to the development of a filter cake due to the long construction time. Relevant finite-element analyses are also conducted in an attempt to further understand the mechanisms of pile–soil slip, which highlight its importance in predicting the vertical displacements. Finally, some comments are included on the observed behaviour of the founding chalk layer.


INTRODUCTION
Pile load tests are vital for understanding the actual field behaviour of piles and for determining the relevant geotechnical parameters (Lehane & Jardine, 1994;Seo et al., 2013;Bica et al., 2014).Appropriate instrumentation is crucial so that useful and reliable values for such aforementioned parameters are obtained for the designers (Coop & Wroth, 1989;Randolph, 2003;McCabe & Lehane, 2006).Although a wealth of pile top load-displacement curves is nowadays available (Jardine et al., 2013a(Jardine et al., , 2013b;;Yang et al., 2014), the ability to acquire information along the pile depth opens more opportunities for studying the real pile-soil interaction behaviour.
This paper presents a case study of an Osterberg-cell (O-cell) pile test in London instrumented with distributed FO and other conventional instrumentation (VWSGs and extensometers).The monitored strain data from the three independent instrumentation techniques exhibit an excellent agreement.The strain, displacement and shaft friction (SF) test results are discussed and subsequently complemented by relevant finite-element (FE) analyses.It is shown that the spatially continuous field data from the FO measurements provided detailed information about the actual load transfer and revealed some unexpected pile-soil slip.Finally, the study highlights the importance of distributed monitoring information along the pile depth in accurately predicting its behaviour especially in terms of vertical displacements.

O-CELL PILE TEST
The instrumented pile is located at the Isle of Dogs in London.It is a reinforced-concrete bored test pile for a future high-rise tower.Although the pile was monitored during both curing of the concrete and the O-cell test, the analysis and discussion in this paper focuses on the latter only.

Pile geometry and soil stratigraphy
The pile length is 51 m with a nominal diameter of 1•5 m and a reinforcement cage diameter of 1•35 m.The cage was assembled in four sections and two O-cells were installed into the lowest cage section around 6 m above the pile toe.Due to unscheduled problems at the site, the construction of the pile was unusually long, spanning over more than 48 h.The local soil stratigraphy (Fig. 1) consists of Made Ground overlying the Lambeth Group (sandy silty clay and silty clay), Thanet Sand and Chalk.During the load test, the O-cells expanded bidirectionally, applying a compressive load on the pile segments above and below reaching a maximum value of 30•87 MN (Fig. 2).

Instrumentation
The pile was instrumented with distributed FO sensing cables, VWSGs, extensometers and linear vibrating-wire displacement transducers (LVWDT) (Fig. 3).The latter provide absolute displacement values.Two types of FO cables were installed: a reinforced Fujikura and an Excel Unitube measuring strain and temperature, respectively.They were attached to the reinforcement cage prior to concrete casting and they were split into two regiments based on their point of termination: above the O-cell and to the pile bottom.The temperature cables were attached loosely to the cage whereas the strain cables were pre-tensioned to about 1500-2000 με.In total, ten FO cables were installed, four strain and six temperature cables, in four bundles around the circumference and in two regimes along the length of the pile, as shown in Fig. 3.A Neubrex BOTDR analyser with a spatial resolution of 0•5 m was used during the measurement programme with a sampling interval of 0•05 m and typical noise of $30 με.The BOTDR technology is based on the change of Brillouin frequency of the backscattered light shed through an optical fibre that is directly proportional to the applied mechanical strains and experienced temperature variations.Therefore, the backscattered light originates from scatters along the length of the fibre, becoming the actual sensor (Horiguchi et al., 1995;Soga, 2014;Soga et al., 2015).

DATA ANALYSIS Field data
Figure 4 shows the monitored axial mechanical strain during the load test, which has been compensated for temperature changes (Soga, 2014;Soga et al., 2015).As expected, higher strains develop at close to the O-cell and their values reduce towards the top of the pile due to the development of SF.However, the strain profiles within the chalk layer seem to be rather constant implying a small SF contribution from the chalk layer.
Figure 5(a) compares data from the FO, VWSG and extensometer sensors; the strains from the extensometer data were calculated using the difference in displacements of two consecutive extensometer instruments divided by their distance.Generally, a very good agreement is obtained for the independent sensing systems.The waviness observed in the FO data is not instrument-related noise but it is the real strain state within the pile; Since all four strain cables in the , it is believed that this waviness is due to the irregular profile of the pile diameter (Fig. 6), along the depth which results in non-uniform axial rigidity, EA.Other possible reasons that might affect the waviness to a lesser extent are the periodic location of the circumferential steel reinforcement ($2 m) and the staged tremie pipe concreting process.Similar waviness was observed in the strain profiles during concrete curing during which thermal effects may also have an effect.
The distributed nature of FO data allows for direct integration of the strains to obtain the absolute vertical displacements, z, of the pile when absolute movements (z(y 0 )) are measured (from the LVWDT), as given by equation ( 1) and illustrated in Fig. 7 (this refers to the pile above the O-cell).The local relative vertical displacements z calculated were found to be in excellent agreement with those obtained from the extensometers at different elevations, as shown in Fig. 8 z Finally, differentiation of the strain profiles with depth allows for an estimation of SF, t.A value of axial rigidity EA = 52 200 MN was adopted, assuming E = 30 000 MPa for concrete and uniform A = πr 2 (r = 0•75 m). Figure 9 shows the development of SF with z at the four different soil layers, using first-order fitting polynomials to the strain profiles over each soil layer considered, as shown in Fig. 4.
There is some variability in the Made Ground layer (Fig. 9(a)) and SF reaches a maximum value of about 80 kPa with an average of 20-60 kPa for the four different cables.Presumably, some variability in the Made Ground is expected as this layer may not be homogeneous.Besides, this may suggest that the axial stiffness of the pile may not be uniform across the entire cross-sectional area, perhaps due to some construction imperfections (e.g.entrapped cavities from inadequate concrete compaction).
The Lambeth Group (Fig. 9(b)) shows consistent readings between the four FO cables and SF reaches a clear plateau at about 170 kPa.This value is similar to SF observed in previous pile tests at Canary Wharf (Chapman et al., 1999;Nicholson et al., 2002) that yielded values of around 162-185 kPa.An interesting observation is the initial minor SF development.This might suggest some initial pile-soil slip before the whole frictional SF develops, which is different from the high initial shaft stiffness considered in

FO cables bundle
the conventional pile design.The implication of this is discussed in the following section.
Thanet Sand (Fig. 9(c)) exhibits great consistency among different cables and SF increases reaching about 160 kPa without any plateau.Different from the Lambeth Group layer, there is high initial SF 'stiffness'.The observed SF values in the Thanet Sand seem to be smaller than those observed at previous pile tests at Canary Wharf (Chapman et al., 1999;Nicholson et al., 2002) and the suggested values of 170-614 kPa.
The bottom chalk layer shows significant variability between the four different cables as shown in Fig. 9(d).Despite the observed variability, all cables show some small initial values (for z ≃ 0•02 m) and subsequent development of SF of about 300 kPa.This pile-soil slip-like trend is similar in complexity to what was observed in the Lambeth Group layer.However, some unexpected negative values of SF can be observed, especially for cables S-3-2 and S-4-2, which are perhaps due to the approach followed to derive the SF using fitted polynomials over a relatively short length compared with the waviness.It is recognised that at this point solid conclusions cannot be made regarding this issue in the Chalk and it clearly needs further investigation.Nevertheless, in general (apart from Made Ground and Chalk) all four cables seem to show consistent development of SF with z.The ultimate value of SF observed here is generally smaller than what is reported in the relevant CIRIA guide (CIRIA, 2002).It is believed that the observed initial pile-soil slip is real and it is attributed to the development of a soft filter cake region in the chalk layer and possibly in the Lambeth Group, perhaps due to their permeability.This might be due to the long pile construction process.Usual pile construction practice involves dry excavation and subsequent stabilisation with bentonite slurry, followed by concreting in less than a work shift.This practice should not allow time for filter cake formation.However, the long construction time in this case allowed the penetration of bentonite into the surrounding soil, especially in the chalk layer and therefore possibly resulted in the development of a soft filter cake (Lam et al., 2010(Lam et al., , 2013;;Beadman et al., 2012;Lam & Jefferis, 2016).Consequently, the observed initial slip and small values of ultimate SF observed in the Lambeth Group and chalk layers along with the slow mobilisation of displacements (Fig. 7) is potentially attributed to the existence of such a soft pile-soil interface.For small loads (and hence pile displacements), the soft thin filter cake layer adjacent to the pile provides small resistance, whereas for larger loads (and displacements) more stiffer soil beyond the filter cake is engaged and therefore provides larger resistance and SF.The other layers (Made Ground and Thanet Sand) seem to be less sensitive to filter cake formation.Further investigation is needed.
Moreover, estimations of the pile diameter profile were obtained by in-situ sonic caliper tests which showed some variability in the pile diameter with depth (Fig. 6).These tests suggested an undulating pile shaft diameter that resulted in ribbing in the pile.Such a rough pile-soil interface may have potentially resulted in an increase in shaft resistance due to local bearing capacity shearing actions between successive peaks in the pile diameter.

Numerical FE analysis
To get a better understanding of the mechanisms involved, a simple one-dimensional non-linear FE load-transfer analysis (Fig. 10) was conducted.The pile above the O-cell was modelled, and therefore a 45 m pile loaded from the bottom was considered with an element size of 0•1 m.Due to the observed pile-soil slip in the Lambeth Group and chalk layers, two load-transfer curves were adopted: a conventional hyperbolic (MODEL 1) (equation ( 2), with z 0 = 0) and an extended hyperbolic (MODEL 2) (equation ( 2) with z 0 ≠ 0), which allows for an initial slip (for z 0 > 0) where z 0 is related to the initial slip; k m , t m , d and h are model parameters related to maximum SF (for the conventional hyperbolic model MODEL 1 only, i.e. z 0 = 0), maximum soil stiffness (at z = z 0 ), hardening and degradation, respectively.The load-transfer curves were calibrated (Table 1) based on the observed SF development curves (Fig. 11).Here, one set of curves (cable S-3-1) is used and it is shown that MODEL 2 follows the observed data very well, whereas MODEL 1 was calibrated based on a best fit for the whole range of experienced z.Therefore, for the best compromise, for Made Ground and Lambeth Group, MODEL 1 overestimates the stiffness for smaller loads and underestimates for larger loads.
Figure 12 shows the monitored (cable S-3-1) and calculated axial strains for four representative load cases.It is shown that, especially for smaller loads, MODEL 1 results in higher strains, whereas MODEL 2 exhibits a better agreement.This is due to the known overestimation of stiffness of MODEL 1 in the upper two soil layers and its inability to model the initial pile-soil slip-like behaviour.Figure 13 shows profiles of z and illustrates that MODEL 1 underpredicts z for smaller loads, while it overpredicts for larger loads.This is not surprising, as the standard hyperbolic curve equation was not able to accommodate the initial pile-soil slip-like behaviour observed in the Lambeth Group layer and was calibrated based on a compromise of best fit.In contrast, the modified curve of MODEL 2 to accommodate the initial slip was able to predict accurately the observed z. • The continuous nature of the monitored field data provides valuable detailed information on the axial strains along the pile depth including areas of localised strains.
• The distributed strain sensing data compare very well with other conventional instrumentation, such as discrete strain gauges and extensometers and they show consistency between different cables on the same pile.The irregular pile cross-sectional area, which results in non-uniform pile axial rigidity, EA, appears to be the primary cause for the observed waviness of the continuous FO strain data.Such a postulation is supported by the available in-situ sonic caliper tests that suggested a ribbed pile profile.
• The availability of continuous strain profiles can provide information on the vertical displacements and SF of the pile through direct numerical integration and differentiation, respectively.These can then be used to derive relevant load-transfer curves.
• The Lambeth Group and chalk layers exhibited some initial pile-soil slip-like behaviour before the development of the usual SF curve.Subsequent relevant numerical analyses were able to confirm that the modelling of the slip was necessary to match the FE simulation results with the field data.It is suspected that the long construction process of this pile and the extended time that the bentonite slurry was present in the borehole must have potentially resulted in the development of a soft filter cake at the pile-soil interface.
As a consequence, these layers have exhibited an initial soft behaviour and then take-up of the expected load.
• The observed variable behaviour of the pile within the chalk layer was not very clear.The four cables showed some different strain development and the pile-shaft behaviour in the chalk layer clearly needs further investigation.

Fig. 4 .
Fig. 4. Monitored axial strain developed in the pile for increasing O-cell loads

Fig. 13 .
Fig. 13.Comparison of vertical pile displacements from field data and FE analysis

Table 1 .
Calibration parameters of the load-transfer model