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    Proceedings of the Institution of Civil Engineers

    http://dx.doi.org/10.1680/geng.13.00047

    Paper 1300047

    Received 19/04/2013 Accepted 08/11/2013

    Keywords: excavation/field monitoring & testing/land surveying

    ICE Publishing: All rights reserved

    Geotechnical Engineering

    Deep excavations: monitoring mechanisms

    of ground displacement

    Fearnhead, Maniscalco, Standing and Wan

    Deep excavations: monitoringmechanisms of grounddisplacementNick Fearnhead MScAssistant Geotechnical Engineer, Atkins, Epsom, Surrey, UK; formerlyImperial College London, UK

    Kleaven Maniscalco MScGeotechnical Engineer, Rockcut Limited, Malta; formerly Imperial CollegeLondon, UK

    Jamie R. Standing PhDSenior Lecturer, Imperial College London, UK

    Michael S. P. Wan MScGeotechnical Engineer, Crossrail Limited, UK; also postgraduateresearcher; Imperial College London, UK

    As construction methods become more advanced and design more refined, better control and smaller magnitudes of

    ground displacements resulting from deep excavation can be achieved. Mechanisms of ground movements expected

    from deep excavation and methods for their prediction are briefly reviewed. Such predictions, whether empirical or

    numerical, are critical when the observational method is implemented during the construction process. Their accuracy

    can only be verified by correspondingly accurate monitoring of actual vertical and horizontal surface and subsurface

    ground displacements throughout construction. It is therefore relevant to investigate whether instruments routinely

    used to determine such displacements are sufficiently accurate. Monitoring techniques involving precise levelling,

    rod extensometers and torpedo inclinometers were examined in detail over a 3-week investigation period at a

    greenfield site to quantify the short-term precision and accuracy of the measured displacements obtained from them.

    Where possible, the influence of external factors (e.g. temperature and weather) on measurements is quantified and

    recommendations for best practice are made. Providing that the monitoring techniques discussed are performed to a

    high standard, the data indicate that ground displacements around deep excavations can be monitored to a

    sufficient accuracy for calibration and validation of numerical analyses and ultimately safe engineering design and

    construction.

    1. IntroductionDeep excavations within the urban environment are frequently

    necessary as part of infrastructure projects or for the construction

    of buildings with deep basements. Ground removal usually

    necessitates some form of support, the extent of which depends

    on various factors such as soil and groundwater conditions andthe excavation/construction method. The combined response be-

    tween the ground and the supporting structure constitutes a

    complex soil structure interaction boundary value problem. As

    with most geotechnical engineering structures, there is a much

    greater degree of confidence in assessing resulting forces, stresses

    and stability compared with ground and structural displacements.

    In assessing the latter, frequent recourse is made to empirical

    approaches or numerical analyses. Often the observational meth-

    od is adopted (Nicholson et al., 1999; Peck, 1969) where

    predicted responses (primarily displacements) are checked by

    field monitoring during the works and contingency measures

    implemented as and when necessary. Additionally numerical

    analyses are often refined and updated taking account of meas-

    ured ground and structural responses to make improved predic-

    tions of subsequent phases of work.

    As shown in Figure 1, the magnitude of strains relating to

    retaining walls for deep excavations is at the small strain end of

    the scale. Improved methods of design and construction have

    resulted in even smaller observed displacements. However,

    controlling displacements is particularly important in the urban

    environment, where often structures adjacent to an excavation

    require safeguarding against damage.

    Region 1Very small strain

    Region 2Small strain

    Region 3Large strain

    Retaining walls

    Foundations

    Tunnels

    00001 0001 001 01 0 10

    Shear strain, : %s

    Stiffne

    ss,

    G

    G0

    Figure 1.Ranges of strains pertaining to different construction

    activities (afterAtkinson and Salfors, 1990)

    1

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    In this paper, first the mechanisms of ground response to deepexcavations are briefly reviewed along with typical ranges of

    displacements that might be expected. The results from a series

    of measurements performed as part of field research being run in

    conjunction with the Crossrail project are then presented. The

    measurements discussed formed part of the base readings and the

    specific intention was to investigate potential sources of error and

    find ways of eliminating/minimising them.

    2. Typical mechanisms of ground movementaround deep excavations

    Typical profiles of vertical and horizontal ground and wall

    displacements (

    v and

    h) for a deep excavation are shown inFigure 2. The form and magnitude of the displacements depend

    on many factors, including the dimensions, as well as the

    geometry of the excavation, the ground and groundwater condi-

    tions, the methods, sequence and duration of construction, typeand stiffness of the wall, and the quality and control of workman-

    ship (Gaba et al., 2003). Many of the above factors, apart from

    ground conditions, are within human control and can be carefully

    selected and varied according to budget, timescale and factor of

    safety required.

    The two types of settlement profile outside the excavation, shown

    in Figure 2, depend on the magnitude and shape of the wall

    deflection, which in turn depends on many factors including wall

    type, system stiffness and construction sequence (Ou, 1993). Maxi-

    mum surface settlement, vm, occurs very close to the wall in the

    case of the spandrel profile, associated with large wall deflections

    in the initial phases of excavation and the wall deforming as a

    cantilever. This is more likely to occur with bottom-up construction

    without stiff propping. A concave profile, with maximum settle-

    ments at some distance from the wall, is more likely to develop

    when stiff props are installed soon after excavation starts and with

    top-down construction. Combinations of both cantilever and sub-

    sequent deep-seated wall deflections can lead to surface settlements

    with features of both spandrel and concave settlement profiles

    (Hsieh and Ou, 1998).Roscoe and Twine (2010) usefully compare

    observed modes of wall deflection for top-down and bottom-up

    construction. They found that for top-down construction, maximum

    horizontal wall displacements, hm 0.15%H(andhm , 0.2%H)

    where H is the retained height, while for similar bottom-upexcavations, hm , 0.4%H.

    3. Quantifying expected ground movementsThere are two primary approaches to estimating ground and

    retaining system displacements resulting from deep excavations.

    Historically empirical approaches were developed from numerous

    case histories (e.g. Peck, 1969), providing correlations between

    horizontal and vertical displacements and excavation depth, for

    various factors, especially soil and wall types. This approach is

    still often used and more refined correlations have subsequently

    been developed (e.g. Clough and ORourke, 1990). Numerical

    analysis is the approach most commonly used in modern times,especially with the availability of much greater computing power,

    modelling capabilities and refined soil parameters from advanced

    laboratory testing.

    Both approaches are frequently used with success and both have

    drawbacks. The empirical approach relies on the accuracy of the

    instruments with which case study ground or wall movements

    were measured, and caution is also required in checking that the

    ground conditions relevant to the project under consideration

    compare closely with the case studies. Checks should be made

    continuously during the works using appropriate field monitoring.

    Similarly, as the accuracy of numerical analyses is strongly

    dependent on the quality of the analysis and the input data

    (particularly soil parameters) it is essential to verify the analysis

    from the earliest stages of construction. As with empirical design,

    in situ monitoring during construction is the primary way to

    verify such methods of analysis, thus highlighting the need for

    vm

    hm

    Wall

    Temporaryprops

    Stiff, permanentbase slab

    (a)

    (b)

    WallStiff, permanentroof slab

    vm

    hm

    Temporarypropping asexcavationprogresses

    Castingof stiff,permanentbase slab

    Figure 2.Typical wall and ground displacements associated with

    deep excavations (afterHsieh and Ou, 1998): (a) concave

    settlement profile (typical of top-down construction); (b) spandrel

    settlement profile (typical of bottom-up construction)

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    Geotechnical Engineering Deep excavations: monitoring

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    highly accurate monitoring methods. This is particularly the casewhen the observational approach is being implemented.

    In order to assess the applicability of various monitoring meth-

    ods, their accuracy and instrument resolution need to be assessed

    in relation to the expected magnitudes of ground movement

    around a deep excavation. An impression of the range of

    displacement magnitudes to be expected can be gained from

    Clough and ORourke (1990) or Gaba et al. (2003) who provide

    comprehensive guidelines categorised in terms of different wall

    and soil types. Clough and ORourke concluded that average h

    and v values are about 0.2%H and 0.15%H respectively (the

    latter is significantly lower than the 1%H estimated by Pecks

    method). They also produced a set of dimensionless settlement

    profile design charts categorised according to soil type, derived

    from a large collection of case study data encompassing different

    wall types (Figure 3).

    These dimensionless profiles have been used to estimate surface

    settlements behind a wall based on maximum settlements, deflec-

    tion ratios and the soil type classifications given in three well-

    documented case studies: the underground car park at the Palace

    of Westminster (Burland and Hancock, 1977); Victoria Embank-

    ment, London (St John et al., 1993) and the Lion Yard, Cam-

    bridge (Ng et al., 2004). Table 1 shows a summary of the

    measured movements and calculated deflection ratios from thecase studies. In all cases the deflection ratio is less than the upper

    limit of 0.5%Hpredicted byClough and ORourke (1990), falling

    very close to the average values h , 0.2%H and v , 0.15%H.

    Therefore, these values have been used to calculate expected

    horizontal wall deflection and vertical settlement for various

    excavation depths, as given in Table 2.

    Table 2 indicates that total displacements of the magnitude of

    tens of millimetres will typically develop by the end of excava-

    tion. Such movements can be readily measured with a variety of

    instrumentation; however, it is the displacements that develop

    incrementally over the duration of the works that are required,especially for the validation and updating of numerical analyses.

    Realistically, measurements need to be made to sub-millimetre

    accuracy.

    4. Investigation into the accuracy ofmonitoring methods

    Having outlined the main mechanisms of ground movement

    around deep excavations and the ways in which the form andmagnitude of displacements can be predicted, suitable methods to

    measure them are now discussed. The emphasis is on conven-

    tional monitoring techniques, requiring manual readings. Baseline

    10

    05

    00 05 10 15 20

    d H/

    v

    vm

    /

    (a)

    d

    H

    vm

    vm

    v

    v

    10

    05

    00 05 10 15 20 25 30

    d H/

    v

    vm

    /

    (b)

    Settlementenvelope

    Settlementenvelope

    Settlement

    envelope

    H

    d

    10

    05

    00 05 10 15 20

    d H/

    v

    vm

    /

    (c)

    075

    Figure 3.Dimensionless settlement profiles adjacent to deep

    excavations (Clough and ORourke, 1990): (a) sands; (b) stiff to

    very hard clays; (c) soft to medium clays

    Project Excavation

    depth,H: m

    hm: mm vm: mm Lateral extent of

    movements: m

    hm/H: % vm/H: %

    Victoria Embankment

    (St John et al., 1993)

    19 30 25 50 0.158 0.132

    Palace of Westminster

    (Burland and Hancock, 1977)

    18.5 29 20 80 0.157 0.108

    Lion Yard (Ng et al., 2004) 10 22 10 55 0.220 0.100

    Table 1.Summary of deflection ratios from case studies

    considered

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    Geotechnical Engineering Deep excavations: monitoring

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    measurements at a greenfield research monitoring site in Hyde

    Park, London (Wan and Standing, 2014) were used to assess the

    accuracy of precise levelling, rod extensometers and torpedo

    inclinometers (for surface and subsurface vertical displacements

    and subsurface horizontal displacements respectively).

    The three methods of measurement are commonly used inpractice and were chosen as being the most prone to inaccuracy

    due to the inherent necessity for human involvement and

    exposure to external factors such as weather. Other instrumenta-

    tion used on the research site, that might equally be used for

    monitoring ground and wall responses around a deep excavation

    under construction, are total stations (especially robotic devices),

    vibrating wire piezometers and spade pressure cells and in-place

    inclinometers. These are not considered here as they are judged

    to be relatively unaffected by human or environmental errors.

    At and close by the Hyde Park research site three arrays of

    surface monitoring points (SMPs) for precise levelling, 15 rod

    extensometer boreholes of varying depths up to 50 m and

    torpedo inclinometer casings to a depth of 40 m were installed,

    as shown in Figure 4. Various investigations into the factors

    affecting accuracy for the three monitoring methods were made

    using these points and boreholes. The findings from the

    practical field assessment of each method are now described

    and discussed.

    H: m hm/H: % vm/H: % hm: mm vm: mm

    5 0.2 0.15 10 7.5

    10 0.2 0.15 20 15

    15 0.2 0.15 30 22.5

    20 0.2 0.15 40 30

    25 0.2 0.15 50 37.5

    30 0.2 0.15 60 45

    35 0.2 0.15 70 52.5

    40 0.2 0.15 80 60

    Table 2.Estimated vertical and horizontal displacements for

    various excavation depths

    Wall benchmark

    Surface monitoring pointRod extensometer

    Inclinometer

    N

    25 m 0 25 m 50 m

    CrossraileastboundtunnelCrossrailwestboundtunnel

    XSMP30

    XSMP25

    XSMP23

    XSMP10

    YSMP1

    YSMP12

    YSMP21YSMP25

    YSMP20

    ZSMP17ZSMP9

    ZSMP5

    ZSMP1

    HP10

    YSMP24

    YSMP13

    YSMP14

    YSMP12A

    YSMP14A

    XSMP1

    XSMP11XSMP10A

    NorthCarria

    geDrive

    HP21RX

    HP18RX

    BayswaterRoad

    Clarendon

    P

    lace

    Figure 4.Plan showing layout of instrumentation for research

    monitoring at Hyde Park

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    Geotechnical Engineering Deep excavations: monitoring

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    Resolution, precision and accuracy are three terms frequentlyused when discussing monitoring data (along with various forms

    of error). Straightforward definitions provided by Dunnicliff

    (1988) are given in abbreviated form here: resolution is the

    smallest division that can be read on a device; precision is the

    closeness of a reading to the arithmetic mean of a number of

    readings; and accuracy is the closeness of a reading to the true

    value.

    5. Precise levellingTwo of the three lines of SMPs were installed within the confines

    of the Hyde Park greenfield site, parallel to one another and

    200 m apart (XSMP and YSMP lines with 30 and 31 SMPs

    respectively) while the ZSMP line (with 17 SMPs) ran along the

    pavement of Bayswater Road and so was influenced by traffic

    vibration. Details concerning the form of the XSMP and YSMP

    points are given inFigure 5(note that ZSMP points were survey

    nails). An important feature, as discussed later, is the use of the

    carefully designed BRE socket (Building Research Establishment

    Digest 386 provides more details (BRE, 1993)). A benchmark

    installed in a wall 30 m outside the greenfield site was used as a

    short-term reference point and its stability was checked periodi-

    cally using a nearby 80 m deep datum. The precise levelling

    surveys were performed using a Leica DNA03 digital level, witha resolution of 0.01 mm, used with an invar bar-coded staff.

    Two-peg tests were performed to check for collimation errors

    within the precise level and corrections were made if necessary.

    Foresight and backsight distances were kept similar and limited

    to < 30 m to improve accuracy. The Leica DNA03 was pro-

    grammed to take three repeat readings in quick succession for

    each measurement, displaying the range and standard deviation.

    Measurements were only accepted if the range of these three

    readings was

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    behaviour as observed for the XSMP line is evident, but results

    are evenly spread over a much larger range.

    The maximum variation of any one YSMP over the 3-week

    investigation period was 1.70 mm, with the average variation

    being 1.31 mm: significantly greater than the 0.26 mm average

    for the XSMP line. It can be seen from examination of the

    profiles that a significant proportion of the total variation between

    surveys occurs at all SMPs including the first point, YSMP29.

    This implies that the majority of the error associated with the

    YSMP survey was generated in traversing 150 m from the wall

    benchmark, requiring two change points, to reach the first point

    YSMP29 (note that for the XSMP survey, a backsight was made

    directly to the benchmark without change points). In order to

    assess this possibility, the reduced levels of all the points were

    related to a deep anchor at 50 m depth within rod extensometer

    borehole HP21RX, whose reference head was also surveyed with

    the YSMPs (Figure 4). Adjusting the YSMP reduced levels

    relative to the 50 m deep anchor, as opposed to the wall

    benchmark 150 m away, resulted in a vast improvement, as is

    evident fromFigure 9. The maximum variation of any one YSMP

    is 0.88 mm and the average variation 0.44 mm, agreeing closely

    with corresponding values of 0.87 mm and 0.26 mm for the

    XSMP survey (for which the same wall benchmark was used). In

    contrast to the heave observed using the original data, the

    adjusted data in Figure 9 indicate very little change in level

    between May and July. This illustrates the potential for misinter-pretation of data if the magnitude of the precise levelling error is

    similar to that of the ground displacements: careful selection of

    an alternative benchmark reduced errors by more than 50%. In

    the case of deep excavation monitoring, a deep datum could have

    the same benefit and also be used for the assessment of base

    heave.

    5.2.3 ZSMP survey loop closing error and effect of

    traffic

    Closing error is often used as a measure of errors accumulated

    over backsight and foresight readings taken during a survey.

    However, this is not a definitive measure of the accuracy of the

    survey, as positive and negative incremental errors of any size

    can cancel each other out to give a closing error close to zero.

    The ZSMP surveys had the smallest average closing error of all

    three loops, while having the largest range of readings, with a

    maximum range of reduced level being 1.07 mm and the average

    12 October 2011

    11 November 2011

    25 January 2012

    14 March 2012

    2 May 2012

    July (2012)average

    4

    2

    0

    2

    4

    6

    8

    10

    30 29 28 27 26 25 23 22 21 20 19 18 17 16 15 14 13 12 11 10A 10 9 8 7 6 5 4 3 2 1

    Changeinreducedlevelrelativetosurveyof12October2011:mm

    Hyde ParkXSMP number

    Hyde ParkNorth CarriageDrive

    (Trees schematic only)

    Figure 6.June/July data compared to long-term variation in

    XSMP reduced level

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    range of readings 0.51 mm. Despite the small closing errors, large

    errors on individual points could occur, as were detected when

    returning to the start point of the survey when control checks

    were made on a number of points; for example, for one survey, a

    control check on one of the ZSMPs indicated a difference from

    the initial reading of 1.42 mm, despite the final closing error

    being only 0.45 mm. In this case the closing error could be

    misrepresentative of potential errors.

    The inaccuracies associated with the ZSMP survey were due to

    two main factors. First, their location on the kerb of a busy main

    road resulted in considerable vibration and also the close

    proximity of passing vehicles caused buffeting, making it difficult

    for the staff holder to maintain a steady, level position. Second,

    installing BRE sockets was not possible in the kerbside and so

    flat-topped nails, which barely protruded above the kerb surface,

    were used, making it difficult for the staff to be adequately

    positioned with its centre over the nail.

    5.3 Repeatability of screwing together BRE plugs and

    sockets

    The BRE points used for the XSMP and YSMP lines consist of a

    socket grouted in place and a removable plug as shown in Figure

    5. In order to check the repeatability of screwing the BRE plug

    into its socket a number of repeat readings were taken in quick

    succession, removing and replacing the BRE plug each time

    without moving the tripod. Repeat readings were always within

    0.05 mm of the original reading and in most cases only differing

    by 0.02 mm, confirming that the BRE plug can be relocated into

    the socket with high precision. Similar repeat readings were taken

    on the socket used for the wall benchmark, which was not of

    BRE design (there are several alternatives commercially avail-

    able), for which the readings were within a 0.17 mm range. The

    BRE design involves precision machined mating faces and spigot

    that cause the plug and socket to be drawn together co-centrically

    (other advantages are given by BRE (1993) and Standing et al.

    (2001)). The magnitude of the error caused by relocating the

    survey sockets was deemed insignificant compared with the

    survey errors discussed earlier.

    5.4 Effect of distance/range on the accuracy of staff

    readingThe Leica DNA03 has a quoted operating range of 1 .8110 m,

    although for high-accuracy readings it is good practice to keep

    the staff distance between 2 m and 20 m, with a limit of 30 m. In

    order to assess the effect of staff distance on readings, two sets of

    0

    1

    2

    3

    4

    5

    30 29 28 27 26 25 23 22 21 20 19 18 17 16 15 14 13 12 11 10A 10 9 8 7 6 5 4 3 2 1

    Changeinreducedlevelrelativetosurveyof2May2012:mm

    2 May 2012

    18 June 2012

    19 June 2012

    20 June 2012

    22 June 2012

    22 June 2012(set 2)

    5 July 2012

    Hyde ParkNorth CarriageDrive

    (Trees schematic only)

    XSMP number

    Figure 7.XSMP data collected during investigation relative to 2

    May 2012

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    Geotechnical Engineering Deep excavations: monitoring

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    measurements were made in which the staff was held on a change

    plate at varying distances from the tripod station, with five repeat

    readings being taken each time. Tests were performed both on

    site and indoors to investigate environmental effects. A strong

    correlation between increasing staff distance and range of read-

    ings is evident from the data inFigure 10. The effect was reducedwhen external factors such as wind and traffic were removed in

    the case of the indoor tests. The results indicate that if the staff is

    more than about 20 m away from the precise level, an error of

    about 0.2 mm could occur for outdoor conditions (and this could

    become much worse with adverse weather).

    5.5 Errors induced by tripod location changes

    It is common practice when precise levelling to keep the number

    of tripod location changes to a minimum. It is thought that the

    error induced in moving the tripod, setting up at a new location

    and relevelling the device is greater than taking a longer-range

    measurement to avoid this change. To quantify this potential

    error, two loops (one on grass, one on concrete) involving eight

    tripod location changes (total distances of 363 m for grass and

    437 m for concrete with overall cumulative foresight/backsight

    distances between 15 and 25 m) were performed in which the

    reduced level of a single SMP was repeatedly measured five

    times from each location. Assuming the SMP remains stable

    implies that any variation in reduced level during each loop was

    due to relocation of the tripod. The results shown in Figure 11

    indicate a total error of 0.91 mm accumulated over the eight

    tripod moves, for the concrete positions, compared with 0.28 mm

    on grass. In both cases the first five tripod location changesresulted in ,0.2 mm variation in reduced level. This result

    supports the idea that tripod moves should be kept to a minimum

    when surveying.

    5.6 Effect of thermal expansion

    Thermal expansion of the staff, tripod, SMP or near-surface

    ground can cause problems in the short term if temperatures

    change noticeably during a survey. Quantifying such errors

    often can be difficult, but on one occasion a dramatic change

    in weather conditions from overcast and rain to direct sunlight

    resulted in a noticeable rise in temperature while the tripod

    remained at one location. Three SMPs were remeasured after

    being in direct sunlight for about 20 min and the readings were

    compared with those taken in overcast conditions, showing

    increases in reduced level of 0.16 mm, 0.23 mm and 0.22 mm.

    The similar increase in reduced level of each of the three

    points possibly indicates the thermal expansion of the tripod

    10

    05

    0

    05

    10

    15

    20

    25

    29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 14A 13 12A 12 11 10 9 8 7 6 5 4 3 2 1

    Changeinreducedlevelrelativetosurveyof2May2012:mm

    2 May 2012

    19 June 2012

    20 12June 20

    04 12July 20

    06 12July 20

    11 July 2012

    Hyde Park North CarriageDrive

    (Trees schematic only)

    YSMP number

    Figure 8.YSMP data collected during the investigation relative to

    2 May 2012, using a far-off benchmark

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    Geotechnical Engineering Deep excavations: monitoring

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    relative to the staff and SMPs. Although this does not offer a

    quantitative evaluation, the result implies that the effect of

    temperature change can be of similar magnitude to other

    errors.

    5.7 Accuracy of the levelling bubbles on the staff and

    precise level

    Prior to readings being taken, levelling bubbles on both the

    precise level instrument and the staff should be positioned within

    10

    05

    0

    05

    10

    15

    20

    25

    29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 14A 13 12A 12 11 10 9 8 7 6 5 4 3 2 1

    Changeinreducedlevelrelativetosurveyof2May2012:mm

    2 May 2012

    19 12June 20

    20 June 2012

    4 12July 20

    6 July 2012

    11 July 2012

    Hyde Park North CarriageDrive

    (Trees schematic only)

    YSMP number

    Figure 9.YSMP reduced levels adjusted relative to the 50 m deep

    datum (HP21RX) within the park

    0

    005

    010

    015

    020

    025

    030

    035

    0 5 10 15 20 25 30 35 40

    Rangeofreadingstaken:mm

    Distance of staff from station: m

    Laboratory

    Hyde Park

    Figure 10.Effect of distance of staff from station on repeatability

    of the reading

    04

    02

    0

    02

    04

    06

    08

    10

    0 1 2 3 4 5 6 7 8

    ChangeinreducedlevelofX

    SMP29relativeto

    firstreading:m

    m

    GrassConcrete

    Number of tripod moves

    Figure 11.Effect of number of tripod moves on accuracy of

    precise levelling

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    the prescribed circle so that they are at the correct orientation.When precise levelling, both of these elements are susceptible to

    human judgement and therefore error. In order to quantify

    potential associated errors, tests were performed indoors with the

    staff securely clamped and repeat measurements were taken to

    establish the range of readings with the staff/instrument levelling

    bubble still within the prescribed circle (which would be deemed

    acceptable in the field). The maximum error that could be caused

    by the staff or instrument bubble not being centred was found to

    be 0.1 mm and 0.07 mm respectively (over a sight distance of

    ,6 m). This is a reassuring result given the difficulty in

    maintaining staff verticality in windy conditions.

    5.8 Effect of using different operators

    Using the same instrument operator and staff holder at all times

    might be considered good practice when precise levelling to

    avoid personal idiosyncrasies causing overall errors. To test this,

    four loops involving three tripod moves and measurement of the

    reduced level of seven SMPs were performed using different

    combinations of staff holder and instrument operator each time.

    Closing errors varied from 0.40 mm to 0.83 mm and the maxi-

    mum range in reduced level measurement of any one SMP was

    0.43 mm. This error is similar in magnitude to that of other

    surveys completed, suggesting that changing operator and staff

    holder does not have a detrimental effect on the accuracy of

    precise levelling providing good practice is followed.

    5.9 Summary of potential errors incurred with precise

    levelling

    The results from the various investigations discussed above are

    summarised in Table 3. Many of the errors considered are

    influenced by environmental or human factors, which are difficult

    to quantify: although the results are not absolute, they offer a

    guide as to the most influential factors causing errors. It is

    concluded that measurement of SMP reduced levels can beperformed with sub-millimetre accuracy, typically about

    0.3 mm. This corroborates precise levelling accuracies given by

    Standing et al. (2001), who also provide practical tips for good

    practice. Of the many factors investigated in this study, the effects

    of traffic, levelling socket design and number of tripod moves

    affected the overall accuracy the most. These factors can be

    minimised by careful planning of the survey layout to minimise

    the number of tripod moves. Using a nearby reference point, for

    example a deep datum, would facilitate this and offers other

    advantages.

    6. Rod extensometersRod extensometer anchors were installed at 11 different depths

    down to 50 m below ground level in the boreholes at the research

    site (Figure 4). A dial gauge was used to measure changes

    between the reference head and the top of rods connected to the

    anchors, as shown inFigure 12. Repeat dial gauge readings were

    taken for each rod until three consecutive readings within a

    0.05 mm range were obtained. Although the resolution of the dial

    gauge readings was 0.01 mm and the quoted accuracy 0.01 mm,

    this only relates to relative displacements between anchors within

    one borehole. The overall rod extensometer monitoring system

    accuracy is estimated to be 0.3 mm as it is controlled by the

    inherent accuracy of precise levelling of the reference heads,

    which is necessary to obtain absolute reduced levels of theanchors (in conjunction with the dial gauge readings). Five sets of

    rod extensometer readings were taken over the 3-week investiga-

    tion period to provide an indication of the short-term accuracy of

    rod extensometer measurements and influencing factors.

    Initially results were processed relative to the wall benchmark

    referred to in Section 5. As expected, following the discussion

    above, errors occurred as a consequence, with an unlikely

    Factor Range of readings: mm

    Maximum range Average range

    Reduced level of a single SMP within: XSMP loop 0.87 0.26

    YSMP loop 0.88 0.44

    ZSMP loop 1.07 0.51

    Moving between Hyde Park and wall benchmark 1.02 0.50

    Wall benchmark movement relative to deep datum 1.57 ,1.57

    Replacement of BRE SMP plug into socket 0.05 0.02

    Replacement of wall plug into socket 0.17 0.12

    Measurement over a distance of about 20 m 0.20 0.10

    Moving of tripod location 0.91 ,0.20

    Thermal expansion 0.23 ,0.20

    Staff bubble not centred 0.10 ,0.10Instrument bubble not centred 0.07 ,0.07

    Table 3.Summary of factors affecting accuracy of precise

    levelling

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    apparent average range of movements of 12 mm at the deep

    anchor positions (3540 m), at which depths the ground should

    be unaffected by seasonal variations. The data were then

    processed relative to the deep datum at 50 m depth in the same

    way as for the precise levelling data. The maximum range in

    reduced level recorded for any one anchor was within 1.02 mm

    with the average range of values recorded being within only

    0.45 mm. In order to assess the precision of the dial gauge

    readings alone, five sets of readings were taken over a short

    period when reference head movements should have been negli-

    gible. The maximum range of dial gauge readings obtained for

    any one rod was 0.48 mm and the average range was 0.09 mm.

    This is greater than might be expected given the quoted accuracy,

    but in situ accuracy is affected by factors such as fine debris on

    the top of the rods or guides. Despite these factors the overall

    absolute accuracy of the rod extensometer system is still judged

    to be about 0.3 mm (i.e. the accuracy of the precise levelling).

    The change in anchor reduced level with depth was also plotted

    for each individual borehole so that relative movement between

    anchors within a single borehole could be identified. Processing

    the data in this way enabled easier identification of erroneous

    readings and overall precise levelling error. In most cases the five

    data sets followed almost identical profiles, offset from oneanother according to variation in precise levelling results, as

    shown in the example from one of the borehole extensometers in

    Figure 13. It can be seen that the scatter in data between surveys

    is about 0.2 mm and that erroneous readings are easily spotted

    by their deviation from these profiles, for example the spike

    between 20 and 25 m for the survey of 11 July 2012.

    One way of improving the absolute accuracy of rod extens-

    ometers readings (i.e. 0.3 mm) is to install a deep anchor in

    each borehole. Provided that the deep anchor is unaffected by

    ground movements, absolute vertical displacements of the an-

    chors above it can be determined relative to it without the need

    for precise levelling. This would improve the accuracy to

    correspond to that of the dial gauge readings (i.e. 0.05 mm,

    based on the average measured range within 0.09 mm). However,

    in most cases this would be prohibitively expensive.

    7. Torpedo inclinometersIn order to assess short-term precision of torpedo inclinometers,

    tests were performed over a 1 h period on a single 20 m deep

    borehole. Three sets of readings were taken at 0.5 m intervals

    from bottom to top of the 20 m inclinometer casing in both the a-

    axis and b-axis keyways, orientated at 908 to one another. The

    torpedo used has microelectromechanical system (MEMS) de-

    vices orientated in orthogonal directions so that a- and b-axes areread simultaneously. Torpedo inclinometer measurements are

    largely unaffected by external human or environmental factors

    due to their location below ground and automated data-logging

    system, leaving their accuracy dependent on the instrument itself.

    Primary sources of error are inadequate time allowed for initial

    temperature equilibration of the torpedo within the casing and

    dirt on the wheels of the torpedo or in the keyways. Errors can

    also occur if the keyways are twisted; this should be avoided

    Reference head Dial guage Referenceholes

    Ground level

    Cast-ironlockable

    cover

    Lean-mixcement

    Stainlesssteel rod Guide

    bracketRodsleeving

    Anchor head(approximately

    035 m long)

    Edge ofborehole

    Note: boreholes arebackfilled with astiff bentonite-cementgrout after rodinstallation

    Extendableprongs

    Figure 12.Schematic diagram of rod extensometers and

    reference head (Nyren, 1998)

    2 May 2012

    19 June 201221 12June 20

    4 12July 20

    5 12July 2011 12July 20

    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    04 03 02 01 0 01 02 03 04

    Depthbelow

    groundlevel:m

    Subsurface vertical displacements: mm

    Figure 13.Results plotted on a hole-by-hole basis allows for

    easier identification of erroneous readings

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    during installation and can be checked using specific torpedodevices with a function to determine twisting.

    Cumulative differences in horizontal deflections recorded from

    the three sets of measurements are shown in Figure 14. The

    differences are cumulated from the base of the borehole, which is

    assumed fixed, and the second and third sets are compared with

    the first set (i.e. taken to be zero). In the a-axis sense the readings

    indicate an increasing development of error from the second set

    to the third set and as the torpedo is raised towards the surface,

    with maxima of 0.7 mm and 1.1 mm. For the readings in the b-

    axis sense the maximum error is 0.3 mm. Readings were

    commenced in the a-axis keyway after about 5 min and it appears

    from the data that the torpedo had not acclimatised sufficiently

    (in terms of temperature within the borehole), affecting the first

    set of results. If the third set is compared with the second set,

    greatly improved readings are observed with deviations within

    0.5 mm and 0.1 mm for the a- and b-axes respectively. In some

    torpedo instruments there is an option that can be implemented

    where equilibration checks are made within the readout unit so

    that measurements cannot commence, at the start of a set of a

    survey with the instrument at the base of the inclinometer tube,

    until two consecutive readings are within a set tolerance (e.g.0.02 mm) over a fixed, short time span (e.g. 90 s). It is anticipated

    that such a procedure would have resulted in better compatibility

    between the first and second sets of measurements. During the

    1 h period negligible horizontal movement of the inclinometer

    casing would have occurred, indicating the short-term precision

    of cumulative deflection measurement using a torpedo over a

    20 m depth at 0.5 m intervals would be within 0.25 mm

    provided that sufficient time is allowed for the torpedo device to

    acclimatise.

    Potential errors resulting from the process of raising the torpedo,

    removing/replacing it from/in the casing, and reacclimatisation at

    the base of the borehole were also investigated. The torpedo was

    lowered to the borehole base and allowed to equilibrate before

    being raised to 15 m depth and secured in position. Twenty repeat

    readings were then taken at this depth before raising the torpedo

    to 10 m and 5 m depths, taking a further 20 repeat readings at

    each. The whole process was then repeated with the instrument

    rotated by 1808. Each set of 20 readings had a range within

    0.05 mm, suggesting a measure of precision of 0.025 mm for

    the inclinometer instrument itself.

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    20

    0 02 04 06 08 10 12

    Depthbelow

    groundlevel:m

    HP10 a-axis cumulative horizontaldisplacement: mm

    0

    2

    4

    6

    8

    10

    12

    14

    16

    18

    20

    0 01 02 03

    Depthbelow

    groundlevel:m

    HP10 b-axis cumulative horizontaldisplacement: mm

    28 June 2012 at 10:58

    28 June 2012 at 11:31

    28 June 2012 at 11:57

    Figure 14. Short-term repeatability of cumulative horizontal

    deflections measured using a torpedo inclinometer for 28 June 2012

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    8. ConclusionMechanisms of ground and wall displacements are reviewed

    along with methods of predicting their magnitude and extent.

    Drawing on three well-documented case studies, a range of

    typical displacements corresponding to excavation depths has

    been estimated to judge monitoring accuracy requirements. Maxi-

    mum vertical and horizontal ground and wall displacements are

    typically in the region of centimetres, which can be readily

    measured using many conventional monitoring techniques. How-

    ever, much greater, sub-millimetre, accuracy is required if the

    development of displacements is to be carefully appraised. This is

    necessary when assessing construction/excavation using (a) the

    observational method and also (b) when validating and refining

    numerical analyses of the works.

    Surveying techniques using precise levelling, rod extensometers

    and torpedo inclinometers have been investigated by means of field

    trials at a greenfield research site. The three methods are routinely

    used and involve various potential human and environmental

    factors that affect their accuracy. A variety of these factors have

    been assessed and where possible quantified with a primary

    emphasis on precise levelling (Table 3). Applying good practice to

    each technique should enable surface and subsurface displace-

    ments to be measured to sub-millimetre accuracy. Precise levelling

    accuracy can be achieved to 0.3 mm, which also applies to

    absolute measurements of rod extensometer anchors (much greateraccuracy of0.05 mm is possible for relative movements between

    anchors in individual boreholes). The main factor controlling

    precise levelling accuracy is the number of change points required

    in the survey. These can be minimised and greater accuracy

    achieved if a deep datum, for example a rod extensometer, is

    installed on the site. The overall accuracy of torpedo inclinometer

    measurements is judged to be 0.25 mm over a 20 m depth of

    measurement, provided that absolute displacements at one end of

    the case are known (e.g. if it can be assumed that the base is fixed).

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    Geotechnical Engineering Deep excavations: monitoring

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