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Probabilistic Liquefaction Analysis Using Standard Penetration Test

Filali Kamel
Filali Kamel
 und 
Sbartai Badreddine
Sbartai Badreddine
   | 04. Juni 2022
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Article Category: Original Study
Online veröffentlicht: 04. Juni 2022
Seitenbereich: 162 - 174
DOI: https://doi.org/10.2478/sgem-2022-0009
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© 2022 Filali Kamel et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Relationship between PL and Fs based on Bayesian mapping function using the original version of the simplified procedure. PL = probability of liquefaction.
Relationship between PL and Fs based on Bayesian mapping function using the original version of the simplified procedure. PL = probability of liquefaction.

Figure 2

Bayesian mapping function along the case history data base using the original version of the simplified procedure. CSR = cyclic stress ratio.
Bayesian mapping function along the case history data base using the original version of the simplified procedure. CSR = cyclic stress ratio.

Figure 3

Relationship between PL and Fs based on Bayesian mapping function using the corrected version of the simplified procedure. PL = probability of liquefaction.
Relationship between PL and Fs based on Bayesian mapping function using the corrected version of the simplified procedure. PL = probability of liquefaction.

Figure 4

Bayesian mapping function along the case history data base using the corrected version of the simplified procedure. CSR = cyclic stress ratio.
Bayesian mapping function along the case history data base using the corrected version of the simplified procedure. CSR = cyclic stress ratio.

Figure 5

Relationship between PL and Fs based on Bayesian mapping function using the corrected version of the simplified procedure. PL = probability of liquefaction.
Relationship between PL and Fs based on Bayesian mapping function using the corrected version of the simplified procedure. PL = probability of liquefaction.

Figure 6

Bayesian mapping function along the case history data base using the corrected version of the simplified procedure with Eq. (17). CSR = cyclic stress ratio.
Bayesian mapping function along the case history data base using the corrected version of the simplified procedure with Eq. (17). CSR = cyclic stress ratio.

Figure 7

Comparison of the original and the adjusted CRR-N160cs curves. CRR = cyclic resistance ratio.
Comparison of the original and the adjusted CRR-N160cs curves. CRR = cyclic resistance ratio.

Figure 8

Profile of soil according to the depth (Nantou site).
Profile of soil according to the depth (Nantou site).

Figure 9

Safety factor according to the depth computed by the original and corrected versions of the simplified method (Nantou site).
Safety factor according to the depth computed by the original and corrected versions of the simplified method (Nantou site).

Figure 10

Maximum shear stress according to depth with dynamic and simplified analysis (Yuanlin site).
Maximum shear stress according to depth with dynamic and simplified analysis (Yuanlin site).

Figure 11

Profile of soil and shear wave velocity according to the depth (petrochemical zone site).
Profile of soil and shear wave velocity according to the depth (petrochemical zone site).

Figure 12

Safety factor according to the depth computed by the original and corrected versions of the simplified method (Coastal roadSkikda site).
Safety factor according to the depth computed by the original and corrected versions of the simplified method (Coastal roadSkikda site).

Figure 13

Maximum shear stress according to the depth with dynamic and simplified analysis (Coastal road Skikda site).
Maximum shear stress according to the depth with dynamic and simplified analysis (Coastal road Skikda site).

Summary of updated Cetin etal.’s (2016) field performance case history parameters (20 cases retained for validation).

Case Earthquake Site Liq? Depth (m) GWT (m) σv (kPa) σ′v (kPa) amax (g) CSR Mw MSF Kσ FC % N Cs cR CB CE CN N160CS CRR_Youd for ml=7,5σ’v =1atm CRRSM FSSM CRR_Adj. for ml=7,5 sigpv0 = 1atm CRRSMC FSSMC
6 1964 Niigata Arayamo-tomachi Yes 3.3 1 56 34 0.09 0.09 7.6 0.967 1.31 5 4.4 1 0.86 1 1.22 1.72 8.4 0.099 0.126 1.397 0.121 0.153 0.607
24 1975 Haicheng Panjin Ch. F. P. Yes 8 1.5 148 85 0.13 0.13 7 1.193 1.041 67 8.1 1 1 1 0.83 1.09 10.9 0.121 0.151 1.158 0.149 0.185 0.631
25 1975 Haicheng Ying Kou G. F. P. Yes 7 1.5 130 76 0.2 0.2 7 1.193 1.071 48 12.4 1 0.98 1 1 1.16 17.9 0.191 0.244 1.218 0.239 0.305 0.864
26 1975 Haicheng Ying Kou P. P. Yes 7.5 1.5 139 80 0.2 0.18 7 1.193 1.057 20 10.3 1 0.99 1 1 1.12 13.6 0.146 0.185 1.025 0.182 0.229 0.723
30 1976 Tangshan Coastal Region Yes 4.5 1.1 83 50 0.13 0.13 7.6 0.967 1.189 12 9.45 1 0.9 1 1 1.43 13.5 0.145 0.167 1.285 0.181 0.208 0.706
47 1978 Miyagiken-Oki Nakamura 4 Yes 4 0.5 75 40 0.12 0.14 6.5 1.442 1.257 5 5.6 1 0.89 1 1 1.59 8.4 0.099 0.180 1.286 0.121 0.219 0.660
58 1978 Miyagiken-Oki Hiyori-18 Yes 3.3 2.4 57 49 0.24 0.18 7.7 0.935 1.195 20 9.1 1 0.86 1 1.09 1.43 14.4 0.154 0.172 0.956 0.192 0.214 0.750
70 1978 Miyagiken-Oki Yuriage Br-2 Yes 2.4 1.3 43 32 0.24 0.21 7.7 0.935 1.33 7 11.4 1 0.82 1 1.12 1.79 19.5 0.209 0.260 1.239 0.262 0.325 0.976
81 1979 Imperia’ Valley Radio Tower B1 Yes 4.3 2 72 50 0.18 0.16 6.53 1.426 1.189 43.5 4.45 1 0.86 1 1.13 1.42 9.7 0.110 0.187 1.171 0.135 0.229 0.765
83 1979 Imperia’ Valley River Park A Yes 1.1 0.3 18 10 0.16 0.18 6.53 1.426 1.778 91 2.65 1 0.66 1 1.13 2 7.3 0.090 0.228 1.269 0.109 0.275 0.763
95 1983 Nihonkai-Chubu Takeda Ele.Sch. Yes 4.5 0.4 80 40 0.12 0.13 7.1 1.151 1.257 0 7.85 1 0.9 1 1.22 1.6 14.3 0.153 0.222 1.704 0.191 0.276 0.896
97 1983 Nihonkai-Chubu Aomori Station Yes 5.8 0 108 52 0.12 0.14 7.7 0.935 1.178 3 9 1 0.94 1 1.22 1.4 15 0.160 0.176 1.259 0.200 0.220 0.663
122 1987 Superstition Hills Wildlife B Yes 4.7 0.9 86 49 0.2 0.19 6.54 1.42 1.195 26.2 7.85 1 0.88 1 1.13 1.44 14.1 0.151 0.257 1.350 0.188 0.319 0.953
132 1989 Loma Prieta P007-2 Yes 6.2 3 118 88 0.22 0.17 6.93 1.224 1.032 3 12.7 1 0.93 1 0.92 1.08 13.3 0.143 0.181 1.066 0.178 0.225 0.794
134 1989 Loma Prieta POR-2&3&4 Yes 4.9 3.5 79 65 0.15 0.09 6.93 1.224 1.114 50 3.15 1 0.89 1 0.92 1.24 6.8 0.086 0.117 1.304 0.103 0.141 0.752
135 1989 Lama Prieta Sandholdt UC-B10 Yes 3.2 1.7 58 43 0.26 0.22 6.93 1.224 1.235 2 9.15 1 0.81 1 1.25 1.53 14.8 0.158 0.239 1.086 0.197 0.298 0.893
139 1989 Lama Prieta Treasure Island Yes 5.3 1.5 91 55 0.18 0.17 6.93 1.224 1.161 20 5.05 1 0.9 1 1.13 1.36 9.8 0.111 0.158 0.931 0.136 0.194 0.609
140 1989 Lama Prieta Wood Marine UC-B4 Yes 1.8 1 31 24 0.25 0.21 6.93 1.224 1.429 35 5.75 1 0.72 1 1 2 11.9 0.130 0.228 1.085 0.161 0.282 0.865
143 1989 Lama Prieta Marine Laboratory UC-B2 Yes Yes 3.5 2.5 63 53 0.26 0.2 6.93 1.224 1.172 3 13 1 0.83 1 1 1.38 15.4 0.164 0.235 1.177 0.205 0.294 0.969
210 1995 Hyogo ken-Na nbu Torishima Dike Yes 4.8 0 86 39 0.25 0.29 6.9 1.238 1.265 20 8.5 1 0.91 1 1.22 1.61 17.5 0.186 0.292 1.006 0.233 0.365 0.812
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