Geostatistical analysis of spatial variability of the liquefaction potential – Case study of a site located in Algiers (Algeria)

Bouguerba, Salah Eddine; Zandagui, Djawad; Benhchilif, Souad

Geostatistical analysis of spatial variability of the liquefaction potential – Case study of a site located in Algiers (Algeria)

Studia Geotechnica et Mechanica

Volume 43 (2021): Issue 2 (June 2021)

By:

Salah Eddine Bouguerba, Djawad Zandagui and Souad Benhchilif

Open Access

|Jun 2021

Figures & Tables

Geographical location of the study region and location of the CPT surveys.

Example plots showing key steps in calculating liquefaction potential at one CPT (BH34): (a) tip resistance (qc); (b) side friction (fs); (c) soil type index (Ic); (d) corrected equivalent tip resistant (qc1N)cs; (e) cyclic stress ratio (CSR) and cyclic resistance ratio (CRR); (f) factor of safety (FS).

Spatial distribution and histogram of liquefaction potential index.

Trend analysis for the liquefaction potential index data.

Experimental and theoretical semivariograms for the liquefaction potential index.

Anisotropic semivariogram of liquefaction potential index variorum for directions 0°, 45°, 90°, and 135°.

Anisotropic semivariogram model for the liquefaction potential index.

Cross validation of the semivariogram model for the liquefaction potential index (isotropic analysis A, anisotropic analysis B).

Liquefaction potential hazard map predicted by ordinary kriging (a) and corresponding standard deviation map (b) for earthquake magnitude of 6.8 and peak ground acceleration of 0.3 g (isotropic analysis).

Liquefaction potential hazard map for peak ground acceleration of 0.2 g (a) and 0.25 g (b) (Isotropic analysis).

Computation of LPI for peak horizontal ground acceleration of 0_3 g corresponding to Mw = 6_8_

Depth (m)	Average Density (KN/m³)	Overburden Stress σ_V0 (Kpa)	Effective stress σ^′_V0 (Kpa)	q_c (Kpa)	f_s (Kpa)	CRR	r_d	CSR	F_s	z (m)	H (m)	w(z)	F	*w(z)FH*
2.50	19.58	48.95	23.95	2550.00	125.00	0.59	0.98	0.30	1.95	1.25	2.50	9.38	0.00	0.00
3.50	19.58	68.53	33.53	1140.00	41.00	0.19	0.98	0.30	0.62	3.00	1.00	8.50	0.38	3.21
8.50	19.58	166.43	81.43	2430.00	130.00	0.33	0.93	0.29	1.15	6.00	5.00	7.00	0.00	0.00
10.50	19.58	205.59	100.59	1450.00	51.00	0.13	0.89	0.28	0.48	9.50	2.00	5.25	0.52	5.43
14.50	19.58	283.91	138.91	2860.00	112.00	0.18	0.78	0.24	0.73	12.50	4.00	3.75	0.27	4.02
LPI														12.66

Basic statistics of liquefaction potential index_

Number of values	Mean	Median	Standard deviation	Minimum	Maximum	Skewness	Kurtosis
62	11.459	8.6759	10.456	0	32.718	0.472	1.793

Properties of the fitted semivariograms of the liquefaction potential index_

Model type	Nugget C₀	Partial Sill C+C₀	Major range a (m)	C/C+C₀	RSS	R²
Spherical	0	120	1800	1	1728	0.943
Exponential	0	135	1060	1	2633	0.885
Linear	38	146	3440	0.735	7272	0.629
Gaussian	5	125	1200	0.96	2205	0.900

Calculated values of liquefaction potential index (LPI)_

Borehole	Coordinates		LPI	Borehole	Coordinates		LPI

	Easting (m)	Northing (m)			Easting (m)	Northing (m)
BH1	519039.1	4062223	5.57	BH32	517267.3	4060744	24.11
BH2	519247.8	4061957	0.00	BH33	517582.2	4061421	16.97
BH3	519471.7	4061669	0.73	BH34	516748.6	4060166	12.66
BH4	519697.4	4061414	0.00	BH35	516205.9	4060353	26.85
BH5	519931.9	4061204	0.00	BH36	516494	4060620	26.54
BH6	519925.8	4060761	0.00	BH37	515785.8	4060475	21.12
BH7	519655.4	4061015	0.00	BH38	515446.7	4061284	23.90
BH8	519438.6	4061314	0.00	BH39	515676.1	4061850	30.48
BH9	519187.1	4061546	2.34	BH40	515196.3	4061971	32.72
BH10	518939.2	4061757	5.73	BH41	517075.7	4059634	27.74
BH11	518750.8	4062111	8.60	BH42	516106.9	4061729	29.61
BH12	519674.6	4060860	8.75	BH43	515283.1	4059841	13.44
BH13	519369.7	4060970	3.80	BH44	515430	4060130	12.45
BH14	519124.5	4061169	0.00	BH45	515829.7	4059942	23.93
BH15	518443.2	4061889	9.97	BH46	518340.9	4061656	19.64
BH16	519199.3	4060493	8.61	BH47	517981.9	4061644	6.18
BH17	518900	4060902	5.38	BH48	517343.3	4058514	0.93
BH18	518591	4061257	16.25	BH49	517268.7	4058736	0.00
BH19	518848	4060181	3.69	BH50	517249.5	4058958	0.00
BH20	518474.9	4060857	19.59	BH51	517536.8	4059125	0.21
BH21	518374.6	4060557	24.41	BH52	517465.8	4058892	0.00
BH22	518288	4060102	26.39	BH53	517511	4058648	3.24
BH23	518125.3	4059736	13.89	BH54	517506.3	4058348	0.00
BH24	517678.6	4059724	24.30	BH55	517628.5	4058870	1.83
BH25	517901.1	4060124	28.98	BH56	517669.1	4058681	5.21
BH26	518152.4	4060413	25.75	BH57	517711.5	4058493	1.61
BH27	518130.8	4060901	24.28	BH58	515780.4	4058544	6.00
BH28	517660.5	4060689	13.15	BH59	515724.8	4059143	3.29
BH29	517854.7	4060945	11.10	BH60	515743.1	4059410	4.85
BH30	517444.4	4059335	0.00	BH61	515869.5	4059687	11.92
BH31	517097.9	4061032	20.12	BH62	515898.42	4059487.6	11.66

DOI: https://doi.org/10.2478/sgem-2021-0009 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365

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Language: English

Page range: 155 - 168

Submitted on: Nov 26, 2020

Accepted on: Mar 29, 2021

Published on: Jun 30, 2021

Published by: Wroclaw University of Science and Technology

In partnership with: Paradigm Publishing Services

Publication frequency: 4 issues per year

Keywords:

Potential liquefaction,

geostatistics,

geographic information systems,

Related subjects:

Physics,

Mechanics and fluid dynamics

© 2021 Salah Eddine Bouguerba, Djawad Zandagui, Souad Benhchilif, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

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Geostatistical analysis of spatial variability of the liquefaction potential – Case study of a site located in Algiers (Algeria)

Figures & Tables

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Computation of LPI for peak horizontal ground acceleration of 0_3 g corresponding to Mw = 6_8_

Basic statistics of liquefaction potential index_

Properties of the fitted semivariograms of the liquefaction potential index_

Calculated values of liquefaction potential index (LPI)_

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