Environmental Engineering Reference
In-Depth Information
Table 2.2 (Continued) Measured shear strength parameters from Xiaolangdi
hydropower station in China
CD (63 data)
CU (64 data)
UU (61 data)
Test
number
c (kPa)
ϕ (°)
c (kPa)
ϕ (°)
c (kPa)
ϕ (°)
44
38.82
27.34
88.95
18.88
257.40
10.29
45
70.72
21.14
23.10
27.96
231.41
11.01
46
91.14
23.63
57.29
22.55
343.89
7.89
47
63.85
22.83
65.76
22.14
101.11
12.53
48
87.13
20.28
85.31
21.43
107.15
13.87
49
79.26
21.19
27.91
23.75
90.23
15.89
50
46.37
23.09
51.68
24.09
190.91
13.00
51
80.48
22.56
4.62
27.82
181.85
12.35
52
81.03
23.77
93.75
21.06
186.31
16.67
53
33.87
27.03
113.64
22.73
76.08
18.20
54
51.75
25.60
9.54
25.70
206.40
9.23
55
71.57
23.74
11.37
27.76
188.57
9.44
56
101.74
21.44
98.96
22.68
104.63
14.97
57
30.67
27.31
86.69
20.93
115.33
14.63
58
48.77
26.81
53.96
21.57
89.45
23.06
59
52.46
26.18
54.10
24.87
141.47
22.09
60
43.74
23.29
57.28
21.85
95.56
17.11
61
72.41
22.62
93.57
24.06
62.19
20.35
62
37.68
30.32
64.46
22.77
-
-
63
14.57
27.20
81.35
23.85
-
-
64
-
-
33.41
25.56
-
-
COV
0.33
0.11
0.43
0.15
0.32
0.36
ρ − 0.544 0.702 0.623
τ − 0.384 0.544 0.447
Source: After Zhang L, Tang XS, Li DQ. Journal of Civil Engineering and Management 2013;
30(2): 11-17 (in Chinese).
Note: CD, Consolidated-drained triaxial compression test; CU, consolidated-undrained tri-
axial compression test; UU, unconsolidated-undrained triaxial compression test.
and
N
BIC =−
2
ln (;,)
fx pq
+
kN
ln
(2.26)
i
1
i
=
1
1 ln ( ;,) is the logarithm of the likelihood function for a specified distribu-
tion; k 1 is the number of distribution parameters. For the four selected distributions, all of
them are two-parameter distributions. Therefore, k 1 = 2 is used in Equations 2.25 and 2.26 .
Specifically, identification of the best-fit marginal distributions using AIC and BIC consists
of the following four steps:
where =
N
fx pq
i
i
1. Compute the sample mean μ and sample standard deviation σ of the measured shear
strength parameters using Equation 1.13 of Chapter 1 .
 
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