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APPENDIX A PILE STIFFNESS FOR MRT NEL C704
First, the tangent modulus method proposed by Fellenius (1989) was used to derive the variation
of modulus with strain based on a pile load test carried out. The pile tested had a similar concrete
mix, reinforcement and installation procedure as other piles at the viaducts. The pile was
instrumented with thirty-two vibrating wire strain gauges and three telltale extensometers.
According to Fellenius (1989), the tangent modulus is represented as follow:-
BAE tt += ε [A.1]
Where as the secant modulus to be used for converting strain to stress is as follow:-
BAE ts += ε5.0 [A.2]
where At is the slope of tangent modulus line (GPa/µε), B is the intercept of the tangent modulus
i.e. initial tangent modulus (GPa). Figure A.1 shows a plot of the tangent modulus against the
strain based on all the strain gauges and tell-tales in the pile. By curve fitting, At is derived as -
0.02 GPa/µε and B is within 30 to 50 GPa. There seems to be a large variation between the upper
and lower bounds. This is likely to be due to the amount of shaft resistance mobilised at different
depth. The larger the shaft resistance, the lower the tangent modulus line (Fellenius, 2001).
Another possibility could be due to the bored pile installation method. The concrete was poured by
tremie pipe and did not go through vibrating compaction, which leads to non-uniform property at
different depth.
Besides, the constant Young’s modulus for concrete (Ec) can be interpreted based on an
approximate method by ACI (1989) as follows:
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'cc f151000E = kPa [A.3]
where is the characteristic compressive cylinder strength of concrete at 28 days (in kPa). The
piles were constructed using Grade 45 concrete. The can be approximated as 0.8 times
from cube strength. Ultimately, the modulus was derived as 28.65GPa.
'cf
'cf cuf
Figure A.2b compares the axial force interpreted for one of the piles during tunnelling. Firstly, a
variation of approximately 40% was noted for the upper and lower bounds using the tangent
modulus method. Secondly, the lower bound value was similar to the value using ACI method.
Despite the variation, the results to be presented in Chapter 3 were interpreted based on the ACI
method.
0
50
100
150
200
250
300
0 50 100 150 200 250 300 350 400
Microstrain (µ ε)
Tang
ent m
odul
us, E
t (G
Pa)
TT-1 (1st cycle)TT-2 (1st cycle)A (1st cycle)B (1st cycle)D (1st cycle)E (1st cycle)F (1st cycle)G (1st cycle)H (1st cycle)I (1st cycle)J (1st cycle)K (1st cycle)L (1st cycle)M (1st cycle)N (1st cycle)O (1st cycle)Curve fit (Upper bound)Curve fit (Lower bound)
Strain gauge and telltale data at 1st cycle
48m
ABCD
EFGHIJKL
MN
O
TT2
TT1
Figure A.1 Tangent modulus derived from a pile load test
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0
5
10
15
20
25
30
35
-200-150-100-500
Microstrain (µε)
Dep
th (m
.b.g
.l.)
X1 Y1X2 Y2Average
X
Y1
Y2
X2
Plan view of strain gauges arrangement in each level
0
5
10
15
20
25
30
35
-8000-7000-6000-5000-4000-3000-2000-10000
Axial force (kN)
Dep
th (m
.b.g
.l.)
Constant E (ACI, 1989)
Strain dependent E (Upper)
Strain dependent E (Lower)
SB
Tunnel springline
NB Tunnel
SB Tunnel
Tunnel springline
(a) (b)
Figure A.2 Influence of (a) non-uniform strain distribution and (b) pile stiffness in the interpretation of axial force in pile
335
APPENDIX B PILE MOMENT OF INERTIA FOR MRT NEL C704
Besides the Young’s modulus, moment of inertia (Ipile) is another variable that could affect the
interpretation of bending moment. Depending on the significance of bending moment, the pile
section could be in an un-cracked state (Ipile=Igross), fully cracked (Ipile=Icracked) or in between. In
order to investigate the appropriateness of the moment of inertia adopted, all the bending moments
reported in Chapter 3 were first interpreted using Igross. The bending moments were then compared
to the cracked moment (Mcr) which can be computed from the following:-
zIf
M grossrcr = [B.1]
where fr is the modulus of rupture of concrete and is equal to '7. cf19 (in kPa) as recommended
by ACI (1989), z is the distance from the centroid to the extreme fibre of the pile in tension (m)
and Igross is the gross moment of inertia (m4) which is calculated as 64
. 4pileDπ
.
The Mcr was calculated to be 634kNm and 2140kN for 1.2m and 1.8m diameter piles respectively.
Figure B.1 shows the bending moment computed for all the 1.2m diameter instrumented piles
(using Igross) and the cracked moment envelope. Generally, the bending moment at all four levels
of the piles stayed within the cracked moment envelope after the two tunnels were driven.
However, there were some points within the piles where bending moment exceeded the cracked
moment (particularly at Pier 11). It is observed that the bending moments exceeding the cracked
moment were developed during the construction of the viaduct bridge (which exerted further
loading on the piles).
336
Despite some points exceeding the cracked state, bending moment to be presented subsequently is
based on Igross. It is realised that Igross as assumed for the computation of bending moment
exceeding cracked moment would over-estimate the actual bending moment. Further assessment
of the effective moment of inertia is not within the scope of this research.
-1500
-1000
-500
0
500
1000
1500
-1500 -1000 -500 0 500 1000 1500
Transverse bending moment, Mxx (kNm)
Long
itudi
nal b
endi
ng m
omen
t, M
yy
(kN
m)
Cracking moment
Cracking m
oment
M > Mcr
M < Mcr
Figure B.1 Computed bending moments and cracked moment envelope
337
APPENDIX C
C.1 Comparison of pile responses between SDMCC and NLES models
0
10
20
30
40
50
60
70
-5000-4000-3000-2000-10000Axial force (kN)
Dep
th (m
)
Pile P1 (SDMCC)Pile P1 (NLES)Measured (Pile P1)
1.6m
P2P1
P4 P3
0
10
20
30
40
50
60
70
-5-4-3-2-10Pile settlement (mm)
Dep
th (m
)
Pile P1 (SDMCC)Pile P1 (NLES)
1.6m
P2P1
P4 P3
0
10
20
30
40
50
60
70
-20-15-10-50Pile lateral deflection - transverse (mm)
Dep
th (m
)
Pile P1 (SDMCC)Pile P1 (NLES)
SB
1.6m
P2P1
P4 P3
Tunnel springline
SB
Tun
nel
Tunnel springline
SB
Tun
nel
Tunnel springline
SB
Tun
nel
(a) (b) (c)
Figure C.1 Comparison of pile responses with respect to SDMCC and NLES models (a) Pile axial force (b) Pile settlement (c) Pile lateral deflection
338
C.2 Comparison of pile responses between 3-D tunnel advancement and plane strain tunnel procedures
0
10
20
30
40
50
60
70
-20000-15000-10000-50000Axial force (kN)
Dep
th (m
)
3-D tunnel adv. (WL+tunnelling)Plane strain tunnel (WL+tunnelling)3-D tunnel adv. (WL)Plane strain tunnel (WL)
With WL, Gmax/p'=800, VL=1%, Lp/Htun=3.0, Xpile/Dtun=1.0
Tunnel
0
10
20
30
40
50
60
70
-15-10-50Pile settlement (mm)
Dep
th (m
)
3-D tunnel adv. (WL+tunnelling)Plane strain tunnel (WL+tunnelling)
With WL, Gmax/p'=800, VL= 1%, Lp/Htun=3.0, Xpile/Dtun=1.0
Tunnel
0
10
20
30
40
50
60
70
-15-10-50
Pile lateral deflection - transverse (mm)
Dep
th (m
)
3-D tunnel adv. (WL+tunnelling)Plane strain tunnel (WL+tunnelling)
Tunnel
With WL, Gmax/p'=800, VL=1%, Lp/Htun=3.0, Xpile/Dtun=1.0
Tunnel springline Tunnel springline
(a) (b) (c)
Figure C.2 Comparison of pile responses with respect to different numerical simulation procedures (a) Pile axial force (b) Pile settlement (c) Pile lateral deflection
339
APPENDIX D OTHER INFLUENCING FACTORS IN PLANE STRAIN FE ANALYSIS
The calibration charts as presented in Chapter 6 only hold for the assumed cases particularly the
adopted soil model (non-linear elastic), earth pressure at-rest, Ko (=1.0) and single tunnel
simulation. These assumptions are further investigated here.
D.1 Effect of soil model
To-date, there are probably hundreds of constitutive models available which allows the
characteristics of soil to be modelled. Therefore, it is impossible to investigate every one of the
models. At here, the commonly used ‘Mohr-Coulomb’ model is compared to the ‘Non-linear
elastic’ model. The tunnel-pile configuration and dimension remained the same in both analyses.
Total stress analysis was carried out with the Young’s modulus of soil, Eu of 30,000kPa, undrained
shear strength, Cu of 150kPa and angle of shearing resistance, φ’ of 0o. Figure D.1 shows the
convergence plots for both the pile horizontal deflection and pile head settlement. It can be
observed that the modification factors differ up to two times for the two different models. Strictly
speaking, it is hard to justify the variation of modification factors for different soil models since
the input parameters also play a role in determining the factors. It is not within the scope of this
study to quantify the effect of soil model.
D.2 Effect of soil earth pressure at-rest
All the analyses that have been presented so far assumed the soil earth pressure at-rest, Ko of 1.0.
However, Ko is commonly found to be less than 1.0 in soft normally consolidated soil and more
than 1.0 in stiff over-consolidated soil. Figure D.2 shows a comparison of convergence and the
340
corresponding modification factor between Ko of 1.0 and 1.5 in non-linear elastic model. As can
be observed, the Ko parameter plays a small part in varying the modification factors in both the
pile horizontal deflection and pile head settlement. However, it should be noted that the influence
of Ko parameter is highly dependent on the type of soil model adopted.
Figure D.1 Influence of soil model on pile stiffness modification factor
0
50
100
150
200
250
0.0 0.1 0.2 0.3 0.4 0
Figure D.2 Influence of soil earth pressure at-rest on pile stiffness modification factor
.5Pile stiffness ratio, Ewall(2D) / Epile(3D)
Resp
onse
of 2
D to
3D
anal
ysis
(%)
Pile max. horiz. defl. (NE, Ko=1.0)Pile max. horiz. defl. (NE, Ko=1.5)Pile head sett. (NE, Ko=1.0)Pile head sett. (NE, Ko=1.5)
0.07
0.12
2D response = 3D single pile response
2D response = 3D single pile response
0
50
100
150
200
250
300
350
0.0 0.1 0.2 0.3 0.4 0.5Pile stiffness ratio, Ewall(2D) / Epile(3D)
Resp
onse
of 2
D to
3D
anal
ysis
(%)
Pile max. horiz. defl. (Non linear)Pile max. horiz. defl. (Mohr Coulomb)Pile head sett (Non linear)Pile head sett. (Mohr Coulomb)
0.07
0.15
341
D.3 Effect of twin tunnel simulation
The modification factor as investigated in Chapter 6 assumed a single tunnel simulation. However,
in practice, there is a likelihood of encountering multiple tunnels interaction. Study was also
carried out to investigate the sensitivity of twin tunnels on the modification factor. Two cases were
simulated; single pile and one-row pile group. Figures E.3a and b show respectively the typical 3-
D and 2-D mesh adopted for simulation of the twin tunnels which are located on each side of the
single pile. Equal distance between tunnel and pile was modelled on each side of the pile (i.e.
Xpile=5.45m). Other tunnel-pile configuration and dimension remained the same as the typical case
described in Section 6.4.2. Figures D.4a and b compare the convergence obtained for pile
horizontal deflection and pile head settlement respectively. From the negligible differences, it can
be concluded that the modification factor is not affected by the twin tunnels in both single pile and
one-row pile group.
342
74m
(a)
72m
72m
30m
(b) m
74m
Figure D.3 Typical mesh for twin tunnels simulation withD mesh
72m
72single pile (a) 3-D mesh (b) 2-
343
(a)
(b)
Figure D.4 Influence of twin tunnels advancement on pile stiffness modification factor (a) Pile maximum horizontal deflection (b) Pile head settlement
0
50
100
150
200
250
300
350
0.0 0.1 0.2 0.3 0.4 0.5Pile stiffness ratio, Ewall(2D) / Epile(3D)
Resp
onse
of 2
D to
3D
anal
ysis
(%)
Single pile (Single tunnel)Single pile (Twin tunnel)1-row pile group (Single tunnel)1-row pile group (Twin tunnel)
D pile = 1.2m, E pile = 28GPaG max /P' = 800, V L = 1.81%Tunnel-pile dist. = 5.45mPile head settlement
0.25
0.12
2D response = 3D single pile response
2D response = 3D single pile response
0
50
100
150
200
250
300
350
0.0 0.1 0.2 0.3 0.4 0.5
Pile stiffness ratio, Ewall(2D) / Epile(3D)
Resp
onse
of 2
D to
3D
anal
ysis
(%)
Single pile (Single tunnel)Single pile (Twin tunnel)1-row pile (Single tunnel)1-row pile (Twin tunnel)
D pile = 1.2m, E pile = 28GPaG max /P' = 800, V L = 1.81%Tunnel-pile dist. = 5.45mPile lateral deflection
0.08
0.16
344
APPENDIX E MRT CIRCLE LINE STAGE 1 CONTRACT C825 SINGAPORE
E.1 Background and overview
The on-going Contract C825 project formed the first stage of the Circle Line construction (CCL1).
The CCL1 line, also known as the Marina Line is part of the five stages to be built (Yong & Pang,
2004b). In the contract, four stations namely the Dhoby Ghaut Station, Museum Station,
Convention Centre Station and Millenia Station are to be built. The contract also includes the
construction of twin tunnels of 1.5km long. All the constructions are located in the densely
populated civic and business district centre of Singapore. Inevitably, the construction has to be
carried out very near to existing heritage structures such as Raffles Hotel, Singapore Arts
Museum, Cathedral and various high-rise buildings. Figure E.1 shows the location of tunnels,
stations and also the close proximity structures in Contract 825. Further details on the project can
be found in Osborne et al. (2004).
Stamford Canal
Overrun Tunnel
Bored tunnel
Cathedral of the Good Shepherd
Singapore Art Museum
Bored tunnel
Existing MRT East-West Line
Raffles Hotel
Future Art Centre Line C & C
Tunnel
Temporary TBM Launching Shaft
Stamford Canal
C & C Tunnel
MRT CCL1 Contract 825
Pan Pacific Hotel
Marina Square
Underground Carpark Link
Bored tunnel
JRLBTL ERLEWL
NEL
CCL
LRTLRT
C825
Stamford Canal
Overrun Tunnel
Bored tunnel
Cathedral of the Good Shepherd
Singapore Art Museum
Bored tunnel
Existing MRT East-West Line
Raffles Hotel
Future Art Centre Line C & C
Tunnel
Temporary TBM Launching Shaft
Stamford Canal
C & C Tunnel
MRT CCL1 Contract 825
Pan Pacific Hotel
Marina Square
Underground Carpark Link
Bored tunnel
JRLBTL ERLEWL
NEL
CCL
LRTLRT
C825
JRLBTL ERLEWL
NEL
CCL
LRTLRT
C825
Dhoby Ghaut Station
Museum Station
Convention Centre Station
Millenia Station
NSL
Dhoby Ghaut Station
Museum Station
Convention Centre Station
Millenia Station
NSLNSL
Figure E.1 Location of MRT Circle Line C825
345
In this project, one of the great challenges posed to engineers was to construct tunnels under an
existing building beneath the Raffles Boulevard. Figure E.2 shows the twin tunnels bored under
the 5-storey frame concrete structure which includes a basement carpark. The two tunnels
configured in a vertically stack alignment passed beneath the structure which link the Marina
Square and the Pan Pacific Hotel. The structure is supported on driven Raymond Step-Taper steel
piles of 324mm diameter. The piles are founded at a depth of approximately 11.5m below the
basement. The main columns are supported on pile groups of four, eleven and seventeen piles
whereas the wall sits on a stretch of single piles. The piles are located as close as 1.12m to the
tunnel extrados. Two EPB shield machines of 6.58m diameter were used to bore the twin tunnels
and were located very near to each other with a clear spacing of 3.84m from their extrados. The
upper tunnel is located at a depth of 12.5m below the basement car park.
Figure E.2 Tunnelling under the link structure between Pan Pacific Hotel and Marina Square
346
E.2 Geology and ground conditions
From the soil investigation carried out, the structure is generally founded on the Old Alluvium
with the degree of weathering varying with depth. The Old Alluvium is an alluvial deposit that has
been variably cemented and has the strength of weak rock (LTA, 2001). The Old Alluvium which
composed of silty sandy clay can be classified into five classes, i.e. OA1 to OA5 which are
defined by the SPT-N of <10, 10 to 30, 30 to 50, 50 to 100 and >100 respectively. However, the
7m of soil below the basement consists of mixed layers of fluvial sand (F1) and clay (F2), marine
clay (M) and fill material, typically the Kallang Formation (Fig. E.2). Ground water is close to the
original ground level. The piles are generally founded on the dense Old Alluvium material (i.e.
OA5). Material of OA3 to OA5 was encountered during the north bound tunnel advancement
whereas the south bound tunnel encountered only OA5 material.
E.3 Construction sequence
The tunnels were driven by two earth pressure balance machine (EPBM) manufactured by
Herrenknecht and has an outer diameter of 6.58m and length of 8m. When the EPBM were under
the building, good soil condition was encountered, therefore leading to good advance rate (i.e.
approximately 50mm/min) and progress rate (up to 10 rings/day). A face pressure of 150kPa was
maintained in the chamber to provide face stability although it is realised that the material
encountered is generally stable and has a considerable stand-up time even without the pressure.
The first EPBM (for North bound tunnel) was launched from Millenia Station on the 22 January
2003 and advance towards the Convention Centre Station. This is followed by the second EPBM
(for South bound tunnel) which was launched two months later from the same launching shaft.
The construction of the tunnels were scheduled such that the lower tunnel was bored first and
followed by the upper tunnel to minimise the effect on the structure. Initially the tunnels started
347
off in a horizontally parallel position for length of approximately 230m (Figure E.3a). However,
the tunnels were then gradually shifted into a vertically stacked alignment when reaching the link
structure due to space constraint from the pile foundation (Figure E.3b).
SBtunnel
NBtunnel
Pan Pacific Hotel **
Marina Square **
Raffles Boulevard
(a)
Link structure
NBtunnel
SBtunnel
SBtunnel
NBtunnel
Pan Pacific Hotel **
Marina Square **
*Not to scale** Foundation not illustrated
Road
Pedestrian Link
Car park Link
(b)
Figure E.3 Alignment of tunnels (a) before reaching structure (b) under structure
348
8500 850010600
8500 850010600
8600
8600
8600
8600
8600
CL OF TUNNEL
LEGEND
EXISTING PILEEXISTING PILE TO BE CUT-OFF
PG1
PG2
PG4
PG3
PG6
PG5
PG8
PG7
PG10
PG9
PG11
PG12
PG13
PG14
PG15
PG17
PG16
PG18
PG19
PG20
P1 P5P4bP3P2 P7P6
P8 P11P10P9 P13P12 P14
P4a
8500 850010600
8500 850010600
8600
8600
8600
8600
8600
CL OF TUNNEL
LEGEND
EXISTING PILEEXISTING PILE TO BE CUT-OFF
PG1
PG2
PG4
PG3
PG6
PG5
PG8
PG7
PG10
PG9
PG11
PG12
PG13
PG14
PG15
PG17
PG16
PG18
PG19
PG20
P1 P5P4bP3P2 P7P6
P8 P11P10P9 P13P12 P14
P4a
PAN
PA
CIF
IC H
OTE
L
MA
RIN
A S
QU
AR
E
TOWARDS CONVENTION CENTRE STATION
TOWARDS MILLENIA STATION
Tunn
ellin
gdi
rect
ion
PAN
PA
CIF
IC H
OTE
L
MA
RIN
A S
QU
AR
E
TOWARDS CONVENTION CENTRE STATION
TOWARDS MILLENIA STATION
Tunn
ellin
gdi
rect
ion
Figure E.4 Foundation layout of the link structure
349
Figure E.4 shows the foundation layout of the building and the tunnel location. One of the main
challenges in this section was the intersection of three numbers of piles with the upper tunnel
(Figure E.5). Two piles were encountered at the front wall and one pile at the rear wall of the
structure. Initially, only two piles were expected. However, an unexpected H-pile of 375mm x
375mm was encountered exactly adjacent to one of the piles to be expected during tunnelling.
Approximately 3m length of each pile was to be removed to allow the tunnel machine to pass
through. The EPBM was stopped allowing the piles to be cut-off manually. To avoid loading on
the tunnel lining, polystyrene foam block was attached to the base of the pile (Figure E.6). Figure
E.7 shows the view inside the chamber during pile removal and Figure E.8 shows the scrap piles
after removal.
6
5
4
3
7
IT SHALL BE THE RESPONSIBILITY OF THE CONTRACTOR TO FURNISH STEEL SHELLS OF SUFFICIENT STRENGTH AND THICKNESS TO ENABLE THEM TO BE DRIVEN TO THE REQUIRED PENETRATION OR RESISTANCE WITHOUT DAMAGE DUE TO IN-PLACE SOIL PRESSURES. THE SHELL FOR THE LOWER 1/3 OF THE PILE SHALL BE AT LEAST 14 CAGE
CONCRETE FILL SHALL BE NORMAL WEIGHT AND HAVE A MINIMUM 28 DAY COMPRESSIVE CUBE STRENGTH OF 4.3 N/mm (6250 PSI)
19mm (3/4") THICKCLOSURE PLATESECURELY WELDED
O PIPET
(TYP
ICA
L)75
0
441mm
416mm
391mm
340mm
365mm
3658
(12'
0") S
ECTI
ON
S A
S R
EQU
IRED
LEN
GTH
AS
RE
QUI
RE
D
BASEMENT LEVEL 98.916
ROAD LEVEL 103.15
EXISTING PILEEXISTING PILE TO CUT TO 300mm ABOVE PROPOSED TUNNEL LINING
TUNNEL
Figure E.5 Detailed of Raymond step-tapered pile
350
CL
3m
CL
0.4m
UPPER TUNNEL (NB) UPPER TUNNEL (NB)
PIPE PILE
STEEL H-PILE
STEEL H-PILE
PIPE PILE
POLYFOAMBLOCK
(a) (b)
Figure E.6 Pile cut-off at one of the wall section (a) before (b) after
Raymond Step-taper pile
Figure E.7 A view inside the chamber during pile removal
351
Raymond Step-Taper pile
(a)
Steel H-pile
(b)
Figure E.8 Scrap of removed piles (a) Raymond Step-Taper pile (b) Steel H-pile
352
E.4 Monitoring scheme and results
As part of the stringent requirement laid by the Land Transport Authority (LTA), the building was
fully instrumented. Settlement markers were installed in almost all the columns at the basement
level of the structure. In addition, tilt meters and tape extensometers were also installed in some of
the columns and walls.
During the advancement of the SB tunnel, the maximum column settlement recorded is only up to
3mm. Subsequently, after the NB tunnel has advanced, the maximum accumulated settlement is
up to 7mm. Figure E.9 plots all the columns settlements in three-dimensional visualisation for
cases when the face of the second EPBM (for NB tunnel) was (a) at the front wall of structure (b)
at the rear wall of structure (c) at a distance of 10 times tunnel diameter away from the rear wall.
With relatively good ground conditions and well controlled tunnelling procedure, the maximum
and differential measured settlements were kept small.
353
9 OCT 2003
20 OCT 2003
11 NOV 2003
POSITIONOF EPBM
MAX. 2mm
MARINA SQUARE
PAN PACIFIC HOTEL
(a)
MARINA SQUARE
PAN PACIFIC HOTEL
MAX. 4.4mm
(b)
POSITIONOF EPBM
MAX. 7mm
MARINA SQUARE
PAN PACIFIC HOTEL
(c)
Figure E.9 Measured building settlement for NB tunnel advancement (a) EPBM at front wall (b) EPBM at rear wall (c) EPBM leaving the structure
354
APPENDIX F PLANE STRAIN FE ANALYSIS OF CENTRIFUGE TESTS
Three centrifuge tests were carried out by Loganathan (1999) to study the response of pile
foundation due to tunnelling. All the magnitudes reported herein are based on the prototype value.
The only difference between each test was the tunnel depth i.e. 15m (Test 1), 18m (Test 2) and
21m (Test 3). The pile diameter and length was 0.8m and 18m respectively. A single pile and 2x2
pile group were arranged on each side of the tunnel. The distance between tunnel axis and the
centre of single pile was 5.5m. The same distance was also arranged between tunnel axis and
centre of the front pile of 2x2 pile group. Piles in the pile group were spaced at a distance of 2.5m
which is equivalent to three times pile diameter. Pre-tunnelling loading of 1340kN and 4550kN
were applied to the single pile and pile group respectively. A schematic diagram of the tests set-up
is shown in Figure F.1. All the tests were carried out in stiff Kaolin clay with undrained shear
strength typically varied from 25kPa at the surface to 100kPa at the 25m.b.g.l. Volume loss was
simulated by removing the silicone oil in the model uniformly and therefore represents a plane
strain tunnel.
Test 1 : Y1 = 15mTest 2 : Y1 = 18mTest 3 : Y1 = 21m
2.1m
Y1
30m
32.5m32.5m
2.5m
Pile cap thickness = 1mCap-soil gap = 0.1m
4m
Lp = 18m
Test 1
Test 2
Test 3
D = 6m
Dp = 0.8m
Ground surface
Figure F.1 Schematic diagram showing the position and dimension of tunnel and piles in
the centrifuge tests (prototype dimension)
355
FE analysis was carried out on two tests, i.e. Tests 1 and 3. Dimension of the mesh followed
exactly the dimension of centrifuge strongbox in prototype scale. Exploiting the plane of
symmetry at tunnel axis, dimension of mesh was reduced to 32.5m x 30m in horizontal and
vertical axis respectively. The type of element and node are similar as used in all the studies
described above. Besides, same soil model was also adopted. A normalised soil stiffness, Gmax/p’
of 500 was assigned. The analysis was carried out in three steps:-
• Step 1: Generating the initial stress in soil
• Step 2: Pile foundation is wished-in-place and loaded
• Step 3: Tunnel is allowed to deform under convergence confinement method to the
required volume loss of 1% (undrained)
Following are the required parameters to determine the modification factor from calibration
charts:-
• Pile foundation configuration = Single pile and 2x2 pile group
• Loading condition = With pre-tunnelling loading (1340kN for single pile and 4550kN for
pile group)
• Pile diameter, Dpile = 0.8m
• Pile length to tunnel depth ratio, Lp/Htun = 1.2 (Test 1) & 0.86 (Test 3)
• Pile-tunnel distance, Xpile = 5.5m (or Xpile/Dtun = 0.92)
• Pile stiffness, Epile = 200GPa
• Tunnel diameter, Dtun = 6m (single tunnel)
• Tunnel volume loss, VL = 1%
• Normalised soil shear stiffness, Gmax/p’ = 500
According to the above parameters, the tests fall into Condition 2 (single pile with pre-tunnelling
loading) and Condition 4 (pile group with pre-tunnelling loading). As described in Section 6.6.4,
356
the conditions coupled with Lp/Htun of 1.0 or less do not allow convergence between 2-D and 3-D
analyses. A set of Ewall(2D) was assumed as sensitivity studies.
Figures F.2a, b and c show the predicted and measured greenfield surface settlement, lateral soil
movement and soil settlement of Test 1 respectively. No pile was yet included in the analysis so
that the greenfield model can be first compared. Very good match was obtained for both
magnitude and trend despite the simple model adopted. Figures F.3a and b show the single pile
lateral deflection and pile head settlement of Test 1 respectively. Five analyses were carried out
with varying pile stiffness modification factor, i.e. 0.33, 0.46, 0.63, 1.0 and 1.5 which were
computed from the equivalent pile stiffness method. To be noted, the modification factor has no
influence on the pile response. This agrees with the calibration charts in Section 6.6.2 where no
convergence was observed for the similar condition. However, both the pile lateral deflection and
settlement were well predicted with the model.
In the analysis of pile group of Test 1, the lateral deflection of front pile and pile head settlement
are shown in Figures F.4a and b respectively. In this situation, the predicted profile of lateral
deflection was off track from the measured. The lateral deflection is higher at the pile head instead
of the pile tip. This is likely to be the restraint from pile length below tunnel springline and the
inability of soil flow above the tunnel which causes large displacement on the upper length of
piles. Besides, the 2-D analysis over-predicts pile head settlement by approximately two times
(Figure F.4b).
For Test 3, the predicted and measured greenfield soil movement are shown in Figure F.5. Again,
all the predicted trend and magnitude match very well with the measured. However, for the single
pile response, FE analysis could not resemble the trend of measured lateral deflection profile
357
(Figure F.6a). But the predicted maximum deflection is very close to the measured. Furthermore,
the pile head settlement is over-predicted by about 2.6 times (Figure F.6b).
The pile group prediction for Test 3 is also notably off sight from the measurement. Figures F.7a
and b show the lateral deflection of front pile and pile head settlement respectively. A more
flexible profile of deflection was observed in the FE analysis whereas the measurement shows the
pile to move in a rigid form by translation. Besides, the pile settlement is highly over-predicted by
four to five times (Figure F.7b). Even a high increment of pile stiffness (i.e. modification factor of
3.0) could not arrest the large settlement.
358
-20
-15
-10
-5
00 5 10 15 20 25 30 35
Distance from tunnel axis (m)
Sur
face
set
tlem
ent (
mm
)
2-D FE analysisMeasure data (Test 1, Greenfield, VL = 1%)
TUNNEL
Surface settlement
(a)
0
5
10
15
20
-40-30-20-100
Soil settlement on tunnel axis (mm)
Dep
th (m
.b.g
.l.)
25
2-D FE analysisMeasured data (Test 1, Greenfield, VL=1%)
TUNNEL
Settlement along tunnel axis
0
5
10
15
20
25
-8-6-4-20
Lateral soil movement at 5.5m from tunnel axis (mm)
Dep
th (m
.b.g
.l.)
2-D FE analysisMeasured data (Test 1, Greenfield, VL=1%)
TUNNEL
Horizontal soil movement at 5.5m from tunnel axis
5.5m
Tunnel springlineTunnel springline
(b) (c)
Figure F.2 Comparison between predicted and measured greenfield soil movement of Test 1 (a) Surface settlement (b) Subsurface lateral soil movement (c) Subsurface soil
settlement
359
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
00.33 0.46 0.63 1.00 1.50
Pile stiffness modification factorP
ile h
ead
settl
emen
t (m
m)
Test 1 - Single pile
0
5
10
15
20
25
-6-5-4-3-2-10Pile lateral deflection (mm)
Dep
th (m
.b.g
.l.)
2-D factor = 0.3302-D factor = 1.0002-D factor = 1.5002-D factor = 0.4602-D factor = 0.628Measured data (Test 1, Single pile)
TEST 11340KN
TUNNE
Measured
Measured
Tunnel springline
Tunn
el
Tunnel springline
L
(a) (b)
Figure F.3 Comparison between predicted and measured single pile response of Test 1 (a) Pile lateral deflection (b) Pile head settlement
-20
-18
-16
-14
-12
-10
-8
-6
-4
-2
00.196 1.000 1.500
Pile stiffness modification factor
Pile
hea
d se
ttlem
ent (
mm
)
Test 1 (Pile group) - Front pile Rear pile
0
5
10
15
20
25
-15-10-50Pile lateral deflection (mm)
Dep
th (m
.b.g
.l.)
2-D factor = 1.0002-D factor = 0.1962-D factor = 1.500Measured data (Test 1, 2x2 pile group, Front)
Rear Front
2.1m
Sym
(a) (b)
Figure F.4 Comparison between predicted and measured pile group response of Test 1 (a) Pile lateral deflection (b) Pile head settlement
360
-15
-10
-5
00 5 10 15 20 25 30 35
Distance from tunnel axis (m)
Sur
face
set
tlem
ent (
mm
)
2-D FE analysisMeasure data (Test 3, Greenfield, VL = 1%)
TUNNEL
Surface settlement
(a)
0
5
10
15
20
25
30
-25-20-15-10-50
Soil settlement on tunnel axis (mm)
Dep
th (m
.b.g
.l.)
2-D FE analysisMeasured data (Test 3, Greenfield, VL=1%)
TUNNEL
Settlement along tunnel axis
0
5
10
15
20
25
30
-6-5-4-3-2-10
Lateral soil movement at 5.5m from tunnel axis (mm)
Dep
th (m
.b.g
.l.)
2-D FE analysisMeasured data (Test 3, Greenfield, VL=1%)
TUNNEL
Horizontal soil movement at 5.5m from tunnel axis
5.5m
Tunnel springlineTunnel springline
(b) (c)
Figure F.5 Comparison between predicted and measured greenfield soil movement of Test 3 (a) Surface settlement (b) Subsurface lateral soil movement (c) Subsurface soil
settlement
361
362
-25
-20
-15
-10
-5
00.15 0.46 1.00 3.00
Pile stiffness modification factor
Pile
hea
d se
ttlem
ent (
mm
)
Test 3 - Single pile
0
5
10
15
20
25
30
-6-4-202Pile lateral deflection (mm)
Dep
th (m
.b.g
.l.)
2-D factor = 1.0002-D factor = 0.4602-D factor = 3.0002-D factor = 0.152Measured data (Test 3, Single pile)
TEST 31340KN
TUNNE
Measured
Measured
Tunnel springline
Tunn
el
Tunnel springlineL
(a) (b)
Figure F.6 Comparison between predicted and measured single pile response of Test 3 (a) Pile lateral deflection (b) Pile head settlement
-40
-35
-30
-25
-20
-15
-10
-5
00.065 0.196 1.000 3.000
Pile stiffness modification factor
Pile
hea
d se
ttlem
ent (
mm
)
Test 3 (Pile group) - Front pile Rear pile
0
5
10
15
20
25
30
-12-10-8-6-4-20Pile lateral deflection (mm)
Dep
th (m
.b.g
.l.)
2-D factor = 0.0652-D factor = 0.1962-D factor = 1.0002-D factor = 3.000Measured data (Test 3, 2x2 pile group, Front)
Rear Front
2.1m
Sym
(a) (b)
Figure F.7 Comparison between predicted and measured pile group response of Test 3 (a) Pile lateral deflection (b) Pile head settlement