Probabilistic Liquefaction Analysis Using Standard Penetration Test

Kamel, Filali; Badreddine, Sbartai

doi:10.2478/sgem-2022-0009

Figures & Tables

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

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

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

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 with Eq. (17). CSR = cyclic stress 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).

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

Safety factor according to the depth computed by the original and corrected versions of the simplified method (Coastal roadSkikda 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)	σ_v (kPa)	σ′_v (kPa)	a_max (g)	CSR	M_w	MSF	K_σ	FC %	N	C_s	c_R	C_B	C_E	C_N	N_160CS	CRR_Youd for ml=7,5σ’v =1atm	CRR_SM	FS_SM	CRR_Adj. for ml=7,5 sigpv0 = 1atm	CRR_SMC	FS_SMC
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

Probabilistic Liquefaction Analysis Using Standard Penetration Test

Figures & Tables

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

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