Ground movements due to deep excavations in Shanghai: Design charts
Malcolm D. BOLTON1(), Sze-Yue LAM2, Paul J. VARDANEGA3, Charles W. W. NG4, Xianfeng MA5
1. Department of Engineering, University of Cambridge, Cambridge CB2 1PZ, United Kingdom 2. Advanced Geomechanics, Perth, Western Australia 6009, Australia 3. Department of Civil Engineering, University of Bristol, Bristol BS8 1TR, United Kingdom 4. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Hong Kong, China 5. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
Recent research has clarified the sequence of ground deformation mechanisms that manifest themselves when excavations are made in soft ground. Furthermore, a new framework to describe the deformability of clays in the working stress range has been devised using a large database of previously published soil tests. This paper aims to capitalize on these advances, by analyzing an expanded database of ground movements associated with braced excavations in Shanghai. It is shown that conventional design charts fail to take account either of the characteristics of soil deformability or the relevant deformation mechanisms, and therefore introduce significant scatter. A new method of presentation is found which provides a set of design charts that clarify the influence of soil deformability, wall stiffness, and the geometry of the excavation in relation to the depth of soft ground.
. [J]. Frontiers of Structural and Civil Engineering, 2014, 8(3): 201-236.
Malcolm D. BOLTON, Sze-Yue LAM, Paul J. VARDANEGA, Charles W. W. NG, Xianfeng MA. Ground movements due to deep excavations in Shanghai: Design charts. Front. Struct. Civ. Eng., 2014, 8(3): 201-236.
A fast and simple method, unable to model progressive failure
Azevedo [27]
removal of a bag of material from the excavation area
More realistic stress histories. Difficult to quantify interaction between soil bags
Powrie [9]
draining of heavy fluid
Replace soil with fluid of same density. Draining it simulates excavation. Coefficient of lateral stress is always 1.0
Kimuara et al. [28]; Loh et al. [29]; Takemura et al. [30]
in-flight excavator
Modelling of more realistic construction sequence. Simple propping
Lam et al. [31]
in-flight excavator with hydraulic props
Modelling of multi-propped construction sequences in a realistic time scale Technically demanding
Hong & Ng [32]
draining of heavy fluid
Modelling of multi-propped construction sequences and hydraulic uplift in a realistic time scale Technically demanding
Tab.1
Fig.1
Fig.2
Fig.3
Fig.4
Fig.5
H (m)
C (m)
Hwall (m)
EI (kNm2/m)
np
d1 (m)
wmax (mm)
Cmax (m)
λ (m)
H/Cmax
s
η
wmax/H (%)
*
M
η*
Number of values reported by Xu [1]
249
166
237
232
230
176
249
182
182
182
231
217
249
182
182
169
max
39
27.8
53
4,320,000
8
5.5
400
51.6
48.15
1.3
10
10638
4.58
3.19
5.28
22.64
min
4.2
1.1
8.8
26,800
1
0
5.7
20.25
10.5
0.12
1.87
4.94
0.02
0.09
1.24
0.005
mean
12.5
12.5
24.1
1,180,439
2.8
1.7
50.7
35.3
28.8
0.38
4.3
662.0
0.45
0.74
2.6
0.61
standard deviation (σ)
5.0
4.1
7.6
789,518
1.4
1.0
43.3
7.9
8.2
0.17
1.2
1030.9
0.45
0.56
0.78
2.2
COV
0.40
0.33
0.31
0.67
0.51
0.61
0.85
0.22
0.28
0.45
0.28
1.6
1.0
0.75
0.30
3.5
Tab.2
layer
description
thickness range (m)
notes
1
fill
0 to 2
water table generally 0.5 to 1.0m below ground level
2
medium plasticity clay
2 to 4
yellowish, dark brown, inorganic clay of medium plasticity and compressibility
3
very soft silty clay
5 to 10
medium plasticity and high compressibility
4
very soft clay
5 to 10
highest void ratio and compressibility but usually lowest cu and permeability field vane values from 35 to 72 kPa SPT N values from 3 to 5
5
silty clay
5 to 17
greyish silty clay of low to medium plasticity representative SPT N of 10
6
stiff clay
2 to 6
dark green stiff low to medium plasticity clay SPT N ranges generally from 12 to 42
7
fine to very fine sand
5 to 15
representative SPT N of 40
Tab.3
ID
p'0/kPa
cu/kPa
γM=2
b
r
R2
RD/%a)
SE
n
p
IUC100
100
38.26
0.00519
0.365
0.963
0.927
27.0
0.037
13
<0.001
IUC200
200
61.46
0.00781
0.448
0.996
0.993
8.4
0.011
65
<0.001
IUC400
400
118.06
0.00586
0.630
0.989
0.978
14.8
0.027
11
<0.001
IUE100
100
-32.41
0.00381
0.308
0.978
0.956
21.0
0.024
225
<0.001
IUE200
200
-52.79
0.00361
0.344
0.989
0.977
15.2
0.018
181
<0.001
IUE400
400
-97.1
0.00344
0.363
0.991
0.981
13.8
0.018
160
<0.001
Tab.4
Fig.6
Fig.7
Fig.8
Fig.9
Fig.10
Fig.11
Fig.12
Fig.13
Fig.14
Fig.15
Fig.16
Fig.17
Fig.18
Fig.19
Δ/L in hogging for structure
up to 0.5 × 10-3
up to 0.8 × 10-3
up to 1.6 × 10-3
up to 3.2 × 10-3
up to 6.4 × 10-3
damage
negligible
slight
moderate
severe
catastrophic
cracks
<1?mm ?
1 to 5?mm ?
5 to 15?mm ?
to 25?mm ?
>25?mm ?
consequences
redecoration? repointing?
doors stick? weather-tight?
partial rebuilding?
shore walls demolish
(wmax/λ)crit for excavation
<1 × 10-3
2 × 10-3
4 × 10-3
8 × 10-3
>8 × 10-3
ψ* for Shanghai
<0.4
0.8
1.6
3.2
>3.2
M for Shanghai
>2.9
2.2
1.65
1.25
<1.25
Tab.5
Fig.20
case
H/m
C/m
description
Hwall/m
EI /(kN·m-2)
np
d1/m
wmax/mm
Cmax/m
??m
H/Cmax
s
η
wmax/H /(%)
Ψ*
M
η*
1
22.4
14
1.0?m DW
35
2,500,000
6
0
34.59
43.5
32.30
0.51
3.73
1312
0.154
0.43
2.82
0.234
2
14.6
13.1
1.0?m DW
28
2,630,000
3
20.9
43.5
36.20
0.34
4.87
478
0.143
0.23
3.63
0.156
3
15
10.8
0.8?m DW
28.5
1,280,000
5
2.75
34
44.5
37.00
0.34
2.45
3621
0.227
0.37
3.00
0.070
4
14.2
10
0.8?m DW
30
1,280,000
2.6
64.5
34.2
27.10
0.42
0.454
0.96
2.03
0.242
5
14.87
0.8?m DW
27
1,280,000
2
2.8
21.4
41.5
34.07
0.36
6.04
98
0.144
0.25
3.51
0.097
6
10.8
0.8?m DW
21.9
1,280,000
2
0
28
5.40
153
0.259
7
13.6
11.85
0.8?m DW
27.5
1,280,000
4
0
32
45.9
39.10
0.30
3.40
976
0.235
0.33
3.15
0.056
8
17.5
24.8
1.0?m DW
30
2,500,000
4
4.1
129
40
31.25
0.44
3.44
1820
0.737
1.67
1.62
0.267
9
10
0.6?m DW
19
540,000
2
37.5
5.00
88
0.375
10
12.4
0.8?m DW
24
1,280,000
3
0.45
33.51
40.8
34.60
0.30
3.98
518
0.270
0.39
2.94
0.091
11
11.15
DW
23
2
14
6.00
0.126
12
13.2
13.85
0.8?m DW
26.9
1,280,000
4
42
30
23.40
0.44
3.40
976
0.318
0.73
2.28
0.435
13
13.1
0.8?m DW
27.5
1,280,000
4
0
10.9
3.28
1134
0.083
14
7.85
0.8?m Diameter SPW
602,880
2
0.4
17
49.6
45.68
0.16
3.73
319
0.217
0.15
4.35
0.014
15
11.57
14.5
0.6?m DW
20.5
540,000
2
2.97
24.5
44.5
38.72
0.26
4.30
161
0.212
0.26
3.50
0.025
16
9.4
11.4
0.6?m DW
20.8
540,000
2
0.65
42
30
25.30
0.31
4.38
150
0.447
0.67
2.36
0.134
17
11.55
5.53
0.95?m SPW
23.15
1,089,860
2
47.47
5.73
103
0.411
18
13.38
12.8
0.8?m DW
25.4
1,280,000
2
1.98
26
28
21.31
0.48
6.40
78
0.194
0.49
2.67
0.633
19
15.4
1.27?m SPW
28
2,143,400
5
1.57
5.7
29.4
21.70
0.52
2.77
3733
0.037
0.11
5.02
0.985
20
5.8
0.6?m DW
12
540,000
1
1
10.84
49.6
46.70
0.12
4.80
104
0.187
0.09
5.28
0.012
21
17.35
7.6
1.0?m DW
34
2,700,000
4
0
62.6
33.1
24.43
0.52
4.34
778
0.361
1.04
1.97
0.773
22*
12
10.06
0.8?m DW
21.2
1,280,000
3
19.59
32.3
26.30
0.37
4.17
432
0.163
0.30
3.27
0.273
23*
14.4
12
0.8?m DW
26.84
1,280,000
7
1.3
23.5
30
22.80
0.48
1.87
10638
0.163
0.42
2.86
0.483
24*
17.55
12.47
0.8?m DW
31
1,280,000
5
0.1
53.69
32.3
23.53
0.54
3.49
880
0.306
0.92
2.07
0.426
25*
19.25
12.47
1.0?m DW
34.65
2,500,000
5
0.1
28
32.3
22.68
0.60
3.83
1184
0.145
0.50
2.66
0.964
26*
13.2
19.34
0.8?m DW
25
1,280,000
4
72.4
38
31.40
0.35
3.30
1100
0.548
0.93
2.06
0.134
27*
15
19.34
0.8?m DW
28
1,280,000
4
30.5
51.6
44.10
0.29
3.75
660
0.203
0.28
3.37
0.034
28*
13.5
7.7
0.8?m DW
1,280,000
3
0
68.5
28
21.25
0.48
4.50
318
0.507
1.30
1.79
0.640
29
26.45
13.5
0.8?m DW (60?m circle)
37.5
1,280,000
10.57
30
16.78
0.88
0.040
0.25
3.50
1.648
30
33.7
21.5
0.8?m DW (5.6?m circle)
48
1,280,000
25
0.074
31
32.09
14.95
1.0?m DW (24.6?m circle)
51
2,500,000
19.2
29.4
13.36
1.09
0.060
0.58
2.50
8.011
32
18.7
15.05
0.7?m DW (28?m circle)
30
857,500
72
30
20.65
0.62
0.385
1.41
1.74
0.481
33
23.2
14.55
1.2?m DW (62.4?m circle)
38.2
4,320,000
19.7
25
13.40
0.93
0.085
0.59
2.48
13.658
34*
15.9
14.45
0.65?m DW
23.8
686,560
33
0.208
35*
31
9.7
1.0?m DW (30?m circle)
53
2,700,000
16.65
29.4
13.90
1.05
0.054
0.48
2.69
7.373
36
12.1
13.5
0.8?m DW
24
1,280,000
5
1
106
30
23.95
0.40
3.67
719
0.876
1.79
1.58
0.397
37
13.4
24
0.8?m DW
26
1,280,000
3
0.4
83.1
40
33.30
0.34
4.33
370
0.620
1.01
1.99
0.106
38
12
15.2
0.8?m DW
20.97
1,280,000
2
2.2
107.74
28
22.00
0.43
4.90
226
0.898
1.98
1.51
0.557
39
12.5
0.8?m DW
25.5
1,280,000
3
0.9
120
30
23.75
0.42
3.87
584
0.960
2.04
1.49
0.410
40
13.4
0.8?m DW
26
1,280,000
3
1.65
100
3.92
554
0.746
41
9.5
11.85
0.8?m DW
21
1,280,000
2
1.5
29
30
25.25
0.32
3.50
869
0.305
0.46
2.74
0.321
42
11.4
15.2
0.8?m DW
21.55
1,280,000
2
2.55
16.9
32.3
26.60
0.35
4.43
340
0.148
0.26
3.49
0.261
43
15.7
16.3
1.0?m DW
30.5
2,500,000
3
1.5
45.45
30.3
22.45
0.52
4.67
536
0.289
0.82
2.17
1.003
44
11.5
0.8?m DW
22.4
1,280,000
2
2.7
16.35
37.7
31.95
0.31
4.40
348
0.142
0.21
3.82
0.125
45
16
8.5
0.8?m DW
25
1,280,000
4
1.8
28.17
45.9
37.90
0.35
3.43
943
0.176
0.30
3.28
0.063
46
13.4
0.8?m DW
26
1,280,000
3
1.65
86
46.1
39.40
0.29
3.92
554
0.642
0.88
2.11
0.054
47
15.5
13.9
1.0?m DW
36
2,500,000
3
3.4
85
30
22.25
0.52
4.03
963
0.548
1.54
1.67
1.040
48
19.65
13.9
1.0?m DW
36
2,500,000
4
3.3
81
30
20.18
0.66
4.09
913
0.412
1.62
1.64
1.538
49
15.1
1.0?m DW
38
2,700,000
3
2.5
90
30.3
22.75
0.50
4.20
884
0.596
1.60
1.65
1.027
50
13.65
13.2
0.8?m DW
25
1,280,000
3
3.05
79.3
30.3
23.48
0.45
3.53
837
0.581
1.36
1.76
0.430
51
18.2
13.2
1.0?m DW
33
2,500,000
4
3.05
99.9
30.3
21.20
0.60
3.79
1238
0.549
1.90
1.54
1.262
52
10.35
13
1.0?m DW
23.6
2,500,000
2
1.4
79
4.48
635
0.763
53
17.15
14.7
1.2?m DW
31
4,320,000
3
1.8
71
5.12
642
0.414
54
12.65
10.5
0.6?m DW
22
540,000
3
1.05
46
3.87
246
0.364
55
10.26
0.8?m DW
21
1,280,000
2
2.3
24
3.98
520
0.234
56
9.6
0.8?m DW
18.5
1,280,000
1
17.5
51.6
46.80
0.19
9.60
15
0.182
0.15
4.34
0.027
57
13
14.65
0.8?m DW
25
1,280,000
3
0.4
58
51.6
45.10
0.25
3.93
547
0.446
0.52
2.62
0.032
58
15.3
4.5
0.8?m DW
31
1,280,000
3
1.16
71.5
30
22.35
0.51
4.71
264
0.467
1.29
1.80
0.523
59
13.23
14
0.8?m DW
26
1,280,000
3
0.55
40
45.9
39.29
0.29
4.23
409
0.302
0.41
2.88
0.055
60
13
0.8?m DW
25
1,280,000
3
37
45.9
39.40
0.28
4.33
370
0.285
0.38
2.98
0.054
61
12.1
13.35
0.8?m DW
26
1,280,000
2
2.85
130
28
21.95
0.43
4.33
371
1.074
2.39
1.40
0.562
62
12.5
13
0.8?m DW
23
1,280,000
3
1.5
14.2
44.5
38.25
0.28
3.67
722
0.114
0.15
4.35
0.061
63
13.7
0.8?m DW
28
1,280,000
3
1.3
42.6
51.6
44.75
0.27
4.13
447
0.311
0.38
2.96
0.033
64
16.87
14.8
1.0?m DW
32
2,500,000
3
2
101.9
4.96
422
0.604
65
14.1
7.9
0.8?m DW
28
1,280,000
2
2.1
72.29
51.6
44.55
0.27
4.00
510
0.513
0.66
2.38
0.033
66
11
12
0.8?m DW
21
1,280,000
2
2.5
37
4.25
400
0.336
67
10.2
11.5
0.6?m DW
20
540,000
2
1.9
27
27.5
22.40
0.37
4.15
186
0.265
0.49
2.69
0.219
68
15
23.9
0.8?m DW
30
1,280,000
3
2
59
4.33
370
0.393
69
14.2
12
1.0?m DW
29
2,500,000
3
2.6
22.5
34.2
27.10
0.42
3.87
1140
0.158
0.34
3.13
0.472
70
16.9
14.4
1.0?m DW
33
2,500,000
3
2.8
83.2
30.6
22.15
0.55
4.70
522
0.492
1.52
1.69
1.059
71
14
0.8?m DW
23.6
1,344,000
5
0.6
41.3
44.5
37.50
0.31
2.68
2656
0.295
0.44
2.79
0.069
72
21.5
0.8?m DW
35
1,280,000
5
24.4
30
19.25
0.72
4.30
382
0.113
0.51
2.63
0.950
73
11.35
13.5
0.8?m DW
22
1,280,000
2
2.3
66.3
4.53
311
0.584
74
15.7
9.3
0.8?m DW
30
1,280,000
4
0.5
31.59
3.80
626
0.201
75
15.25
12.85
0.8?m DW
30
1,280,000
3
47.1
45.9
38.28
0.33
5.08
195
0.309
0.50
2.66
0.061
76
14.7
0.8?m DW
23.45
1,280,000
3
32.35
30
22.65
0.49
4.90
226
0.220
0.58
2.51
0.496
77
17.85
14
1.0?m DW (100?m circle)
32
2,500,000
4
30.1
30
21.08
0.60
4.46
643
0.169
0.58
2.51
1.292
78
16.3
1.0?m DW
38
2,700,000
3
85
28
19.85
0.58
5.43
316
0.521
1.73
1.60
1.773
79
16.7
0.8?m DW
29
1,280,000
3
1.25
115
40
31.65
0.42
5.15
185
0.689
1.47
1.71
0.130
80
12
12.6
0.8?m DW
24
1,280,000
3
0.5
38.4
32.3
26.30
0.37
3.73
674
0.320
0.59
2.48
0.273
81
15.45
6.5
0.8?m DW
27.7
1,280,000
3
1.45
41.35
40
32.28
0.39
4.67
275
0.268
0.52
2.62
0.120
82
13.5
9.1
0.8?m DW
24.75
1,280,000
3
1.5
18.94
45.9
39.15
0.29
4.00
510
0.140
0.20
3.91
0.056
83
14.2
5.3
0.8?m DW
26
1,280,000
3
1.55
32.9
4.22
413
0.232
84*
17.15
8.85
1.0?m BDW
34.75
4,320,000
3
2.05
77.75
44.5
35.93
0.39
5.03
686
0.453
0.87
2.11
0.264
85*
14.95
8.85
0.8?m DW
28.6
1,280,000
3
2.05
93.06
44.5
37.03
0.34
4.30
382
0.622
1.02
1.99
0.069
86
13.5
10.06
0.8?m DW
24
1,280,000
3
1.4
61.16
30
23.25
0.45
4.03
493
0.453
1.06
1.95
0.447
87*
30.4
9.6
1.2?m DW
44
4,320,000
6
2.2
123
45
29.80
0.68
4.70
902
0.405
1.67
1.62
0.558
88
12.3
0.8?m DW
23.6
1,280,000
3
1.8
40.32
44.5
38.35
0.28
3.60
777
0.328
0.42
2.84
0.060
89
16
14.5
1.0?m DW
30
2,500,000
3
4
112.7
28.6
20.60
0.56
4.00
995
0.704
2.21
1.44
1.415
90
14
12.95
0.8?m DW
26.52
1,280,000
2
0.5
71.2
28
21.00
0.50
3.38
1000
0.509
1.37
1.76
0.671
91
15.5
13
0.6?m DW
28
540,000
5
1.5
38
30.3
22.55
0.51
2.80
896
0.245
0.68
2.34
0.213
92
14
12.4
0.8?m DW
25.96
1,280,000
3
50
30.3
23.30
0.46
3.23
1199
0.357
0.87
2.12
0.443
93
14.7
10.4
0.6?m DW
26.5
540,000
4
0.7
39.2
3.50
367
0.267
94
15
12.4
0.6?m DW
28
540,000
4
1.5
70
32.3
24.80
0.46
3.38
424
0.467
1.14
1.90
0.146
95
15
13.81
0.8?m DW
31.6
1,280,000
3
1.75
28.3
43.5
36.00
0.34
4.42
343
0.189
0.32
3.20
0.078
96
22.12
0.8?m DW
40
1,280,000
6
0.52
103.94
51.6
40.54
0.43
3.60
777
0.470
1.04
1.97
0.048
97
19.48
0.8?m DW
37
1,280,000
6
1
144.3
28
18.26
0.70
3.08
1450
0.741
3.19
1.24
1.174
98
8.7
0.6?m DW
540,000
2
1.5
28
32.3
27.95
0.27
3.60
328
0.322
0.40
2.90
0.090
99
14.7
0.6?m DW
25.7
540,000
5
0.8
59
40.8
33.45
0.36
2.78
922
0.401
0.71
2.30
0.044
100
12.4
0.6?m DW
20.5
540,000
2
3.6
110
27.5
21.30
0.45
4.40
147
0.887
2.09
1.48
0.267
101
14.03
0.6?m DW
26
540,000
5
2.9
101.46
28.6
21.59
0.49
2.23
2242
0.723
1.90
1.54
0.254
102
15.73
1.0?m DW
32.45
2,500,000
4
2.05
25
44.5
36.64
0.35
3.42
1863
0.159
0.28
3.39
0.141
103
24.46
7.9
1.0?m DW
42
2,500,000
8
2
29.6
44.5
32.27
0.55
2.81
4102
0.121
0.37
3.00
0.235
104
20.53
7.9
1.0?m DW
36
2,500,000
7
2
27.1
44.5
34.24
0.46
2.65
5190
0.132
0.32
3.19
0.186
105
16
8.45
0.6?m DW
26
540,000
4
86
29.5
21.50
0.54
4.00
215
0.538
1.62
1.64
0.258
106
19.83
1.0?m DW
33
2,500,000
7
20
30
20.09
0.66
2.83
3957
0.101
0.40
2.91
1.566
107
17.66
0.8?m DW
32
1,280,000
6
18.3
30
21.17
0.59
2.94
1739
0.104
0.35
3.08
0.650
108
10.6
12.78
0.8?m DW
20
1,280,000
2
2.4
35.6
44.5
39.20
0.24
4.10
462
0.336
0.37
3.02
0.055
109
16.91
8.65
0.8?m DW
29
1,280,000
5
1.4
35.92
28.5
20.05
0.59
3.10
1409
0.212
0.72
2.28
0.808
110
15.36
11.7
0.8?m DW
29
1,280,000
3
41.5
38.1
30.42
0.40
5.12
190
0.270
0.55
2.55
0.152
111
17.5
16.75
0.8?m DW
32.2
1,280,000
5
28
35
26.25
0.50
3.50
869
0.160
0.43
2.82
0.275
112
17
12.7
0.8?m DW
30
1,280,000
4
26
28
19.50
0.61
4.25
400
0.153
0.54
2.58
0.902
113
23
1.0?m DW
38
2,500,000
6
35.3
3.83
1180
0.153
114
16
0.8?m DW
27.3
1,280,000
4
0.6
42.7
3.85
594
0.267
115
20.82
10.34
1.0?m DW
35
2,500,000
7
29.43
2.97
3256
0.141
116
12.5
14.55
0.8?m DW
25
1,280,000
3
2
118.39
3.50
869
0.947
117
15
12
0.8?m DW
28.5
1,280,000
5
1.2
64
2.76
2249
0.427
118
15.2
11.3
0.8?m DW
30.4
1,280,000
6
97.8
44.5
36.90
0.34
2.53
3168
0.643
1.07
1.94
0.070
119
13.5
0.8?m DW
24.4
1,280,000
72.5
38
31.25
0.36
0.537
0.94
2.05
0.137
120
12.3
0.65?m DW
18.5
686,560
3
51.4
28
21.85
0.44
4.10
248
0.418
0.95
2.04
0.307
121
8.9
27.8
0.6?m DW
16.5
540,000
3
2.36
27
28.3
23.85
0.31
2.18
2437
0.303
0.46
2.76
0.170
122
13.23
0.6?m DW
24
540,000
4
18
3.31
460
0.136
123
11
14.89
0.8?m DW
22.3
1,280,000
3
1
89
28.6
23.10
0.38
3.33
1057
0.809
1.56
1.67
0.458
124
17
8.3
0.8?m DW
30
1,280,000
5
1.5
167
46.1
37.60
0.37
3.10
1413
0.982
1.79
1.57
0.065
125
15
11.8
0.6?m DW
26
540,000
4
1.5
50
32.3
24.80
0.46
3.38
424
0.333
0.81
2.18
0.146
126
14.42
8.65
0.8?m DW
27
1,280,000
4
1.4
70
28.5
21.29
0.51
3.26
1162
0.485
1.33
1.78
0.635
127
15
15.8
0.8?m DW
28
1,280,000
5
1.85
71.22
3.29
1114
0.475
128
13
16.75
SPW
22
110
27.1
20.60
0.48
0.846
2.16
1.46
129
39
13.41
1.0?m DW (8.2?m circle)
47
2,700,000
8.94
30
10.50
1.30
0.023
0.34
3.10
22.643
130
9.9
9.9
0.9?m SPW
20.5
965,700
3
17.55
28.6
23.65
0.35
3.50
656
0.177
0.30
3.28
0.315
131
13.55
12
1.0?m SPW
25.6
1,471,900
2
2.5
75
33.1
26.33
0.41
5.53
161
0.554
1.15
1.89
0.312
132
11
14.3
0.9?m SPW
23
919,700
2
2
23.3
28.6
23.10
0.38
4.50
229
0.212
0.41
2.89
0.329
133
8
1.0?m SPW
20
1,471,900
1
2
27
44.9
40.90
0.18
6.00
116
0.338
0.27
3.44
0.054
134
13.3
14.1
1.2?m SPW
26
2,260,000
3
2.2
21
40
33.35
0.33
3.70
1229
0.158
0.25
3.51
0.186
135
10.3
16.75
1.1?m SPW
23.2
1,567,300
1
30.76
49.6
44.45
0.21
8.30
34
0.299
0.28
3.37
0.041
136
11.75
18
1.0?m SPW
28.5
1,471,900
3
0.5
57
46.1
40.23
0.25
3.75
759
0.485
0.57
2.51
0.057
137
13
9.3
0.9?m SPW
15.35
878,000
1
65
28
21.50
0.46
7.05
36
0.500
1.22
1.84
0.419
138
14.7
12.18
1.0?m SPW
30
1,471,900
3
98.6
46.1
38.75
0.32
4.23
469
0.671
1.03
1.98
0.067
139
10.7
1.0?m SPW
25
1,471,900
1
3.3
51.5
7.45
49
0.481
140
8.65
12.5
0.85?m SPW
17
808,000
2
0.5
53
4.03
312
0.613
141
10.65
0.85?m SPW
23
853,700
2
3.45
36
32.3
26.98
0.33
3.15
884
0.338
0.54
2.58
0.164
142
8
10.5
0.8?m SPW
19.5
700,000
2
0.9
36.5
3.55
449
0.456
143
9.1
0.85?m SPW
22
698,500
1
3.4
42
5.70
67
0.462
144
14.7
1.1?m SPW
31
1,724,000
3
1.3
39
32.3
24.95
0.46
4.47
442
0.265
0.63
2.41
0.454
145
11.05
0.9?m SPW
20.6
919,700
2
1.6
31
40
34.48
0.28
4.73
188
0.281
0.36
3.03
0.066
146
11.25
16.9
1.0?m SPW
25
1,279,900
2
1.6
40.4
28.6
22.98
0.39
4.83
241
0.359
0.71
2.30
0.468
147
9.67
13
0.85?m SPW
21
698,500
2
1
31
40
35.17
0.24
4.34
202
0.321
0.36
3.05
0.047
148
12
16.8
1.05?m SPW
26
1,490,000
2
2.5
40.1
44.9
38.90
0.27
4.75
298
0.334
0.42
2.86
0.066
149
7.25
9.5
0.8?m SPW
18
602,880
1
2.7
57
40.8
37.18
0.18
4.55
143
0.786
0.62
2.43
0.032
150
13.6
1.05?m SPW
30
1,490,000
2
1.7
58
30
23.20
0.45
5.95
121
0.426
1.01
1.99
0.524
151
13.3
2.6
1.1?m SPW
28
1,795,800
3
1.1
130
30
23.35
0.44
4.07
669
0.977
2.25
1.43
0.616
152
10.4
4.6
0.95?m SPW
21.5
1,141,800
2
1.03
26.4
30
24.80
0.35
4.69
242
0.254
0.43
2.83
0.308
153
8.1
11.1
0.9?m SPW
16
919,700
1
1
27.57
7.10
37
0.340
154
11.15
0.8?m SPW
24.5
602,880
2
69
46.1
40.53
0.24
5.58
64
0.619
0.69
2.33
0.023
155
8.4
0.8?m SPW
18
602,880
2
29
46.1
41.90
0.18
4.20
197
0.345
0.28
3.37
0.020
156
8.15
14.7
0.8?m SPW
18
602,880
2
0
75.3
32.3
28.23
0.25
4.08
223
0.924
1.08
1.94
0.097
157
10.55
13.81
0.9?m SPW
21.6
1,016,520
2
1.9
49.9
45.4
40.13
0.23
4.33
296
0.473
0.50
2.65
0.040
158
9.7
18.75
0.85?m SPW
15.6
768,320
1
4.8
48.4
4.90
136
0.499
159
10.7
1.0?m SPW
27
1,226,560
3
0.4
17
3.43
900
0.159
160
8.1
10.4
0.85?m SPW
18
768,320
2
0
46
28.6
24.55
0.28
4.05
291
0.568
0.76
2.24
0.216
161
12.4
13.33
1.1?m SPW
26.5
1,465,400
2
2
42.6
5.20
204
0.344
162
10
0.85?m SPW
768,320
1
32
10.00
8
0.320
163
13.35
14.4
1.1?m SPW
25.4
1,795,800
3
0.7
75.02
28.3
21.63
0.47
4.22
579
0.562
1.40
1.74
0.837
164
9
14
0.8?m SPW
22
634,610
2
1.2
32
3.90
280
0.356
165
7
10
0.8?m SPW
15
634,610
1
2
20.1
30.3
26.80
0.23
5.00
104
0.287
0.30
3.26
0.125
166
7.55
10
0.85?m SPW
17
768,320
1
2
20.5
30.3
26.53
0.25
5.55
83
0.272
0.31
3.22
0.158
167
5.5
7.35
0.6?m SPW
14.8
254,340
1
0
33.7
43
40.25
0.13
5.50
28
0.613
0.34
3.12
0.010
168
6.9
22
0.7?m SPW
14
392,660
1
1.15
27
51.6
48.15
0.13
5.75
37
0.391
0.23
3.68
0.007
169
11.8
1.05?m SPW
24
1,490,890
2
2.52
22.3
31
25.10
0.38
4.64
328
0.189
0.36
3.04
0.383
170
5.22
0.6?m SPW
15
1
0
18.9
33.1
30.49
0.16
5.22
0.362
0.25
3.53
171
6.85
13
0.8?m SPW
12.7
602,880
1
1.9
30.5
4.95
102
0.445
172
12
13
1.0?m SPW
26
1,279,890
2
2.5
10.86
4.75
256
0.091
173
10.5
0.9?m SPW
20
1,192,200
1
3.3
59.44
32.3
27.05
0.33
7.20
45
0.566
0.89
2.10
0.227
174
12.5
13.1
1.0?m SPW
27
1,222,650
3
2.05
20.7
51.6
45.35
0.24
3.48
847
0.166
0.18
4.00
0.029
175
9.4
0.85?m SPW
19.5
768,320
2
28
4.70
161
0.298
176
8.6
13.5
0.8?m SPW
19
634,600
2
1.5
31
3.55
407
0.360
177
9.2
5.5
0.8?m SPW
20
634,600
2
10
28.6
24.00
0.32
4.60
144
0.109
0.17
4.15
0.195
178
7.84
0.8?m SPW
14.5
350,300
1
3.5
12
43.5
39.58
0.18
4.34
101
0.153
0.12
4.73
0.015
179
8.3
7.1
0.8?m SPW (=200?m circle)
18.3
602,880
2
1.2
58.8
3.55
387
0.708
180
9.7
7.1
0.9?m SPW (=200?m circle)
19.6
965,700
2
1.2
56.7
30
25.15
0.32
4.25
302
0.585
0.91
2.08
0.246
181
10.6
0.8?m SPW
1
32.4
29.7
24.40
0.36
6.00
0.306
0.54
2.58
182
15.3
5.3
1.2?m SPW
26
2,180,000
3
1.55
35.2
43.5
35.85
0.35
4.22
701
0.230
0.40
2.92
0.135
183
10.25
14.56
0.85?m SPW
21
900,000
2
2
63
28
22.88
0.37
4.13
317
0.615
1.11
1.91
0.335
184
10.8
14.6
0.9?m SPW
24
919,700
2
0.45
62.5
45.9
40.50
0.24
5.18
131
0.579
0.62
2.43
0.035
185
10.3
14.7
1.0?m SPW
26
1,471,900
2
2.15
71
28
22.85
0.37
4.08
544
0.689
1.26
1.82
0.550
186
10.6
0.8?m SPW
21
709,300
3
1.2
60
28
22.70
0.38
3.13
750
0.566
1.07
1.95
0.272
187
15.8
14
1.0?m SPW
28
1,280,000
5
1.2
29.77
35
27.10
0.45
2.92
1795
0.188
0.44
2.79
0.242
188
9.75
0.8?m SPW
20
602,880
2
2.5
64
28.6
23.73
0.34
4.13
211
0.656
1.09
1.93
0.194
189
8.4
17.49
0.8?m SPW
19
669,000
2
1.75
25.3
49.6
45.40
0.17
3.33
558
0.301
0.23
3.69
0.016
190
8.9
0.9?m SPW
19
965,700
2
2
40
25.5
21.05
0.35
3.80
472
0.449
0.77
2.23
0.501
191
7.45
14
0.8?m SPW
15
634,610
1
2
30
30
26.28
0.25
5.45
73
0.403
0.46
2.75
0.136
192
6.2
15.5
0.6?m SPW
10
1
1.5
40
30
26.90
0.21
4.70
0.645
0.60
2.46
193
8.3
18
2
30
30
25.85
0.28
4.15
0.361
0.47
2.73
194
4.65
11.7
0.6?m SPW
14
222,550
1
0
21
30
27.68
0.16
4.65
49
0.452
0.31
3.25
0.039
195
9.25
3.9
2
20
4.63
0.216
196
8.86
4.1
0.85?m SPW
19.2
768,300
2
1.75
23
22.5
17.88
0.41
3.56
490
0.260
0.52
2.62
0.767
197
9.9
0.8?m SPW
634,600
2
1.2
28
40.8
36.37
0.22
4.35
181
0.283
0.31
3.23
0.037
198
13.3
8.25
1.0?m SPW
23.5
1,471,900
4
0
33.7
3.33
1228
0.253
199
8.2
0.85?m SPW
16.95
731,740
1
2.9
24.46
5.30
95
0.298
200
8.4
14.3
0.85?m SPW
15
768,300
1
32.5
8.40
16
0.387
201
7.5
11.73
0.6?m SPW
13
254,340
2
1.25
16.78
51.6
47.85
0.15
3.23
238
0.224
0.14
4.46
0.005
202
13.4
1.0?m SPW
26
1,471,900
3
60
30.3
23.60
0.44
4.47
377
0.448
1.03
1.98
0.484
203
11.5
20
33.5
27.75
0.34
0.174
0.29
3.32
204
7.8
0.8?m SPW
17
602,880
2
1.2
200
3.30
518
2.564
205
7.1
0.8?m SPW
1
21.5
30
26.45
0.24
7.10
0.303
0.33
3.16
206
6.6
13
0.8?m SPW
15.4
602,880
1
2.1
16.58
25
21.70
0.26
4.50
150
0.251
0.31
3.24
0.277
207
15.4
1.27?m XXX
28
2,143,000
4
1.57
17.77
29.4
21.70
0.52
3.46
0.115
0.33
3.15
208
9.47
17.6
22
817,700
125
30
25.27
0.32
1.320
2.00
1.51
0.205
209
10.2
14.3
SPW
21
390,640
3
2.5
71
43.5
38.40
0.23
2.90
563
0.696
0.75
2.25
0.018
210
6.5
14.85
SPW
15
1
1.5
21
27.1
23.85
0.24
5.00
0.323
0.36
3.06
211
12.5
SPW
20
197,000
2
5.5
400
3.50
134
3.200
212
6.2
13.15
SPW
18
406,465
3
0.1
68
2.03
2424
1.097
213
7.6
7
SPW
14
406,465
80
1.053
214
6.55
SPW
12
264,600
300
4.580
215
6.55
SPW
12
264,600
1
40
6.55
15
0.611
216
7
19.05
SPW
9
67,500
23.9
0.341
217
7.4
12.56
SPW
18
264,600
0.32
225
7.08
11
3.041
218
9.1
12.7
SPW
22
364,560
3
100
3.03
439
1.099
219
6.62
13.7
SPW
12
264,600
1
35
6.62
14
0.529
220
10
14.3
SMW
20
231,500
3
25.2
3.08
262
0.252
221
5.8
14.3
SMW
12
124,500
1
26.5
5.05
20
0.457
222
10.7
SMW
20
306,600
3
0.4
30.46
3.43
225
0.285
223
7.9
16
SMW
8.8
26,800
2
2.5
29.5
2.70
51
0.373
224
8.7
SMW
13.6
345,000
1
3.45
30
5.20
48
0.345
225
7.45
SMW
15.6
18
27.1
23.38
0.27
0.242
0.31
3.23
226
7.95
12.1
SMW
16
2
1.95
80
40
36.03
0.20
3.00
1.006
0.90
2.09
227
7
11.86
SMW
12
69,300
2
1
27.5
3.00
87
0.393
228
6.85
SMW
1
2.9
30.21
32.3
28.88
0.21
3.95
0.441
0.42
2.85
229
7.33
SMW
16
408,674
1
2.64
33.6
32.3
28.64
0.23
4.69
86
0.458
0.47
2.72
0.062
230
9.38
9.15
SMW
20.5
138,432
3
0.7
38
28.6
23.91
0.33
3.10
153
0.405
0.64
2.40
0.043
231
6
1.9
SMW
18
2
10.4
27.5
24.50
0.22
3.00
0.173
0.17
4.12
232
7.5
10.8
SMW
12
220,500
1
80
28
24.25
0.27
7.50
7
1.067
1.33
1.78
0.065
233
6
8.25
SMW
42
0.700
234
7.33
SMW
16
239,750
1
2.6
9.4
32.3
28.64
0.23
4.73
49
0.128
0.13
4.58
0.036
235
9.05
SMW
18
408,660
1
3.15
34.98
29.1
24.58
0.31
5.90
34
0.387
0.58
2.51
0.114
236
13.2
10.91
SMW
26
407,900
3
28
3.96
169
0.212
237
4.2
SMW
9
150,990
1
0.8
18
29.8
27.70
0.14
3.40
115
0.429
0.26
3.46
0.026
238
9.35
SMW
19.45
3
28
3.12
0.299
239
17.52
SMW
33.8
5
37
3.50
0.211
240
13.19
SMW
26
628,700
4
59.76
29.2
22.61
0.45
3.30
542
0.453
1.07
1.95
0.245
241
5.45
18.5
SMW
12
107,300
1
1.35
30
4.22
34
0.550
242
10
1.1
SMW
20
125,800
3
0.6
28
44.5
39.50
0.22
3.13
133
0.280
0.29
3.34
0.005
243
6.65
SMW
15.5
408,660
2
24.64
30.3
26.98
0.22
3.33
341
0.371
0.37
3.01
0.079
244
9.54
13.6
SMW
20
48,650
2
1.4
17.4
20.25
15.48
0.47
4.07
18
0.182
0.45
2.76
0.086
245
5.25
SMW
10
37,520
1
25
28
25.38
0.19
5.25
5
0.476
0.40
2.92
0.009
246
7.7
14.7
SMW
16.8
64,870
1
1.65
20.63
38
34.15
0.20
6.05
5
0.268
0.24
3.57
0.005
247
8.35
11
SMW
17.5
339,110
2
1.5
51.5
27.7
23.53
0.30
3.43
251
0.617
0.88
2.10
0.113
248
14.3
SMW
441,000
4
105.59
3.58
275
0.738
249
7.3
11.55
SMW
12
306,600
2
1.7
28
28.6
24.95
0.26
2.80
508
0.384
0.45
2.77
0.081
?
n
249
166
237
232
230
176
249
182
182
182
231
217
249
182
182
169
max
39
27.8
53
4,320,000
8
5.5
400
51.6
48.15
1.3
10
10638
4.58
3.19
5.28
22.64
min
4.2
1.1
8.8
26800
1
0
5.7
20.25
10.5
0.12
1.87
4.94
0.02
0.09
1.24
0.00
average
12.5
12.5
24.1
1180439
2.8
1.7
50.7
35.3
28.8
0.4
4.3
662.0
0.4
0.7
2.6
0.6
σ
5.0
4.1
7.6
789518
1.4
1.0
43.3
7.9
8.2
0.2
1.2
1030.9
0.4
0.6
0.8
2.2
COV
0.40
0.33
0.31
0.67
0.51
0.61
0.85
0.22
0.28
0.45
0.28
1.56
1.01
0.75
0.30
3.54
?
* staged excavation data also reported
DW= diaphragm wall
SPW= secant pile wall
BDW= buttress DW
cases 130 to 208 Cast-in-place piles
cases 209 to 219 Sheet pile wall
cases 220 to 249 SMW (Soil Mixing Wall)
strata
1-1
2-1
2-2
2-3-1
2-3-2
2-3-3
3
4
5-1
5-2
5-3
5-4
6
7-1
7-2
8-1
8-2
9-1
9-2
case
borehole location
fill
silty clay
clay
silty and sandy clay
sandy clay
sandy clay
silty clay
clay
silty clay
sandy clay
silty clay with sand
silty clay
silty clay
silty clay with sand
silty sand
silty clay
silty clay with sand
sandy silt
medium and coarse sand
1
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
2
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
3
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
4
ZX163
2.2
6
15.5
29.5
34.2
34.9
5
ZX908
1.2
3.4
7.1
15.4
29.4
41.5
43.2
55
6
7
ZX771
1.9
3.5
8.7
18
27
45.9
8
ZX702X
2.8
9
19
30
40
9
10
ZX181
1.6
3
6
17
30
40.8
43.2
44
11
ZX745
1.7
3.4
6.1
16.4
25
12
ZX747
2.6
5.6
8.5
15.5
29
30
13
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
14
ZX873
3.5
3.9
8
14
28.5
49.6
55.5
15
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
16
ZX774
2
3
8
17
23.7
30
17
18
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
19
ZX531
1.6
3.45
9.25
18.6
25.5
29.4
38
43.4
64
77.1
82.2
20
ZX873
3.5
3.9
8
14
28.5
49.6
55.5
21
ZX1276
2.5
5.2
12.6
15.5
27
33.1
35
22
ZX158
2
6
9.3
17.5
28
32.3
36
40
23
ZX821
2.8
7
14
28.5
30
24
ZX158
2
6
9.3
17.5
28
32.3
36
40
25
ZX158
2
6
9.3
17.5
28
32.3
36
40
26
ZX727
3.2
8.9
17.5
28.1
38
40.5
57.8
70.5
76
105
27
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
28
ZX254
1.1
3.4
6.4
12.8
24.4
28
30
29
ZX630
1.4
3.2
8
14
24.8
30
33
49.3
30
31
ZX531
1.6
3.45
9.25
18.6
25.5
29.4
38
43.4
64
77.1
82.2
32
ZX747
2.6
5.6
8.5
15.5
29
30
33
ZX745
1.7
3.4
6.1
16.4
25
34
35
ZX531
1.6
3.45
9.25
18.6
25.5
29.4
38
43.4
64
77.1
82.2
36*
ZX1176
2
2.8
9
17.8
25
30
37
ZX702X
2.8
9
19
30
40
38
ZX731
0.8
2
9.4
17.4
25
28
36
45
39
ZX729
3.5
12.6
26
30
40
41
ZX747
2.6
5.6
8.5
15.5
29
30
42
SJL18
3.5
14.3
32.3
43
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
44
ZX610
1.4
3.5
15.5
19
21
37.7
39.8
45
ZX771
1.9
3.5
8.7
18
27
45.9
46
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
47
ZX133
2.6
6.5
17
27.6
30
37
63
75
48
ZX133
2.6
6.5
17
27.6
30
37
63
75
49
ZX928
2.2
4.5
8
17
29.5
30.3
50
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
51
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
52
ZX745
1.7
3.4
6.1
16.4
25
53
54
55
56
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
57
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
58
ZX133
2.6
6.5
17
27.6
30
37
63
75
59
ZX771
1.9
3.5
8.7
18
27
45.9
60
ZX771
1.9
3.5
8.7
18
27
45.9
61
ZX731
0.8
2
9.4
17.4
25
28
36
45
62
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
63
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
64
65
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
66
67
ZX128
2
4.6
7.6
9.8
18
25.4
27.5
35
40
49
50.4
68
69
ZX163
2.2
6
15.5
29.5
34.2
34.9
70
ZX703
0.5
2.6
10.6
18
24
30.6
35.5
65
71
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
72
ZX774
2
3
8
17
23.7
30
73
74
75
ZX771
1.9
3.5
8.7
18
27
45.9
76
ZX821
2.8
7
14
28.5
30
77
ZX133
2.6
6.5
17
27.6
30
37
63
75
78
ZX731
0.8
2
9.4
17.4
25
28
36
45
79
ZX702X
2.8
9
19
30
40
80
ZX158
2
6
9.3
17.5
28
32.3
36
40
81
ZX702X
2.8
9
19
30
40
82
ZX771
1.9
3.5
8.7
18
27
45.9
83
84
ZX132
2.5
3.7
8
18.3
30
44.5
65
75
85
ZX132
2.5
3.7
8
18.3
30
44.5
65
75
86
ZX821
2.8
7
14
28.5
30
87
BSC3
1.7
3.9
6.8
12.2
19.5
26
45
88
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
89
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
90
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
91
ZX928
2.2
4.5
8
17
29.5
30.3
92
ZX928
2.2
4.5
8
17
29.5
30.3
93
ZX484
1.3
2.8
8
18
20
94
ZX158
2
6
9.3
17.5
28
32.3
36
40
95
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
96
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
97
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
98
ZX158
2
6
9.3
17.5
28
32.3
36
40
99
ZX181
1.6
3
6
17
30
40.8
43.2
44
100
ZX128
2
4.6
7.6
9.8
18
25.4
27.5
35
40
49
50.4
101
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
102
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
103
ZX132
2.5
3.7
8
18.3
30
44.5
65
75
104
ZX132
2.5
3.7
8
18.3
30
44.5
65
75
105
ZX578
1.8
3.5
8.5
17.1
25
29.5
35
42
50.5
73
106
ZX774
2
3
8
17
23.7
30
107
ZX774
2
3
8
17
23.7
30
108
ZX797
1.7
3
8.3
15.8
28
44.5
49.6
56
109
ZX457
0.8
2.8
7.1
17.5
24.6
28.5
36.5
110
LG110
2.3
3.7
9.4
17.6
29.4
38.1
41.1
65.5
111
ZX202
0.8
3
11.2
15
19
35
50
112
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
113
114
115
116
117
118
ZX132
2.5
3.7
8
18.3
30
44.5
65
75
119
ZX727
3.2
8.9
17.5
28.1
38
40.5
57.8
70.5
76
105
120
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
121
ZX508
1
1.8
6.8
14.5
21
26.4
28.3
33
48.3
122
ZX368X
123
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
124
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
125
ZX158
2
6
9.3
17.5
28
32.3
36
40
126
ZX457
0.8
2.8
7.1
17.5
24.6
28.5
36.5
127
128
ZX811X
1.4
3
9
16.4
20.8
27.1
36.6
40
129
ZX1031
1.7
4.2
8.7
19.5
24.8
30
130
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
131
ZX1276
2.5
5.2
12.6
15.5
27
33.1
35
132
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
133
ZX875
1
3.7
5.2
15.2
29
44.9
46.5
51.6
56
67.3
75.3
134
ZX702X
2.8
9
19
30
40
135
ZX823
3.5
3.9
8
14
28.5
49.6
55.5
136
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
137
ZX731
0.8
2
9.4
17.4
25
28
36
45
138
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
139
140
141
ZX158
2
6
9.3
17.5
28
32.3
36
40
142
143
144
ZX158
2
6
9.3
17.5
28
32.3
36
40
145
ZX702X
2.8
9
19
30
40
146
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
147
ZX702X
2.8
9
19
30
40
148
ZX875
1
3.7
5.2
15.2
29
44.9
46.5
51.6
56
67.3
75.3
149
ZX181
1.6
3
6
17
30
40.8
43.2
44
150
ZX1187
0.7
4
6
10
17
24
30
151
ZX133
2.6
6.5
17
27.6
30
37
63
75
152
ZX133
2.6
6.5
17
27.6
30
37
63
75
153
154
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
155
ZX907
2
7.4
15.4
29.5
46.1
48.1
70
75
90
156
ZX158
2
6
9.3
17.5
28
32.3
36
40
157
BSL64
1.2
3.4
6
7.1
17.9
25.4
45.4
158
159
160
ZX694
3.7
9.6
18
25
28.6
32
35.4
161
ZX977
1.5
4
6.5
15.4
162
163
ZX508
1
1.8
6.8
14.5
21
26.4
28.3
33
48.3
164
165
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
166
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
167
ZX114
1
2.7
9.5
19
31
43
47.2
55
168
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
169
ZX615
1.5
3.8
9.8
14.3
24.7
31
39
48
58
68
70
170
ZX1276
2.5
5.2
12.6
15.5
27
33.1
35
171
172
173
ZX158
2
6
9.3
17.5
28
32.3
36
40
174
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
175
176
177
ZX694
3.7
9.6
18
25
28.6
32
35.4
178
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
179
180
ZX630
1.4
3.2
8
14
24.8
30
33
49.3
181
ZX401
2
3.3
9
10
20.3
25.2
29.4
35.2
?
ZX630
1.4
3.2
8
14
24.8
30
33
49.3
182
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
183
ZX731
0.8
2
9.4
17.4
25
28
36
45
184
ZX771
1.9
3.5
8.7
18
27
45.9
185
ZX731
0.8
2
9.4
17.4
25
28
36
45
186
ZX731
0.8
2
9.4
17.4
25
28
36
45
187
LG121
1.3
3.6
8.9
17.8
25.1
35
39
72.4
85
188
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
189
ZX823
3.5
3.9
8
14
28.5
49.6
55.5
190
ZX104
1
2.2
5.5
8
14.2
19.8
25.5
26.7
191
ZX1187
0.7
4
6
10
17
24
30
193
ZX1187
0.7
4
6
10
17
24
30
194
ZX747
2.6
5.6
8.5
15.5
29
30
195
196
ZX397
1.2
3
5.7
7.5
15
18.6
22.5
27.5
35
197
ZX181
1.6
3
6
17
30
40.8
43.2
44
197
198
199
200
201
ZX728
1.2
2.2
5.6
14.4
29
51.6
55.8
60
67
73
89.6
202
ZX744
3.3
9.3
15.8
27.6
30.3
36
55.8
72.5
76
80
203
ZX630
1.4
3.2
8
14
24.8
30
33
49.3
203
ZX905
1.7
2.7
6
15.2
28
37
50.5
54.5
70
76
90
204
205
ZX747
2.6
5.6
8.5
15.5
29
30
206
ZX503X
1.8
3.5
6.5
8.5
18
22
25
34
40
207
ZX531
1.6
3.45
9.25
18.6
25.5
29.4
38
43.4
64
77.1
82.2
208
ZX1187
0.7
4
6
10
17
24
30
209
ZX1270
0.9
3.3
7.7
20
24
43.5
46.8
50.3
210
ZX811X
1.4
3
9
16.4
20.8
27.1
36.6
40
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
ZX811X
1.4
3
9
16.4
20.8
27.1
36.6
40
226
ZX819
1.4
3.5
6
15
33.3
40
227
228
ZX158
2
6
9.3
17.5
28
32.3
36
40
229
SJL18
3.5
14.3
32.3
230
ZX750
1.2
3
9.4
17.9
23.8
28.6
37.1
68
76
80
231
ZX128
2
4.6
7.6
9.8
18
25.4
27.5
35
40
49
50.4
232
ZX254
1.1
3.4
6.4
12.8
24.4
28
30
233
234
SJL18
3.5
14.3
32.3
235
ZZ776
0.5
2
6.8
8.7
16.4
24.6
29.1
36
69
76
84.4
236
237
ZX509
1.6
3.2
8.9
9.6
17.4
27.2
29.8
30
238
239
240
ZX1170
2.2
10.5
17.5
23.1
29.2
36
69
75
241
242
Z1118
1.6
3
15.4
16.5
18.5
44.5
55
58
69.5
71
243
ZX928
2.2
4.5
8
17
29.5
30.3
244
ZX796
1.1
3.8
8.6
16.3
17
20.25
245
ZX1010X
1.2
2.5
7.5
17.5
24
28
40
246
ZX727
3.2
8.9
17.5
28.1
38
40.5
57.8
70.5
76
247
ZX873
1
3.1
7.5
17
18.9
27.7
41
46.8
50
248
249
ZX694
3.7
9.6
18
25
28.6
32
35.4
Roman
B = width of excavation
b = exponent in the strength mobilization framework of Vardanega & Bolton [18]
C= thickness of soil layers 3 and 4 in Shanghai (definition in Xu [1])
Cmax = depth of deformation mechanism
cu = undrained shear strength
D= depth of clay below excavation level
d= depth in a soil layer
d1 = depth to first prop
EI = flexural rigidity per unit width of a retaining wall
Hwall = wall length
H = excavation depth
K0 = coefficient of earth pressure at rest
M= mobilization factor (can be considered a factor of safety on shear strength) (also used to denote the slope of critical state line in q-p' space)
N60 = SPT blowcount
Nk = cone factor
np = number of props
OCR = overconsolidation ratio
= mean effective stress
= initial mean effective stress
q = deviator stress
qt = corrected cone resistance
s = characteristic support spacing
t = wall thickness
wmax = maximum measured wall bulge
Greek
β = mobilized strength ratio
γ = shear strain (taken as 1.5 timesthe axial stainin this paper)
γM=2 = mobilization strain (shear strain to mobilize 0.5cu)
γsat = saturated unit weight of soil
γw = unit weight of water
δw = incremental wall displacement
δwmax = maximum incremental soil displacement
δγ = shear strain increment of the soil
?P = incremental change in potential energy
?W= incremental work done by soil
?U= incremental change in elastic strain energy in wall
?/L= relative settlement
εmax = maximum bending strain induced in a wall
η = system stiffness
η* = modified system stiffness
λ = wavelength of the wall deformation mechanism
σvo = overburden pressure
τ = shear strength
τmob = mobilized shear stress at shear strain, γ
τmob/cu = degree of strength mobilization
ψ = displacement factor
ψ* = modified displacement factor
Statistical terms
n= number of data-points used to generate a correlation
p= the smallest level of significance that would lead to rejection of the null hypothesis, i.e., that the value of r = 0, in the case of determining the p-value for regression
r = correlation coefficient
R2 = coefficient of determination (the square of the correlation coefficient, r)
RD = relative deviation
SE= standard error in a regression, a quantification of deviation about the fitted line
COV = coefficient of variation (ratio of the standard deviation to the mean)
μ = standard deviation
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