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Seismic risk evaluation of historic masonry structures in an Algiers district, Algeria, using fragility and vulnerability functions: A case study of Belouizdad district Cover

Seismic risk evaluation of historic masonry structures in an Algiers district, Algeria, using fragility and vulnerability functions: A case study of Belouizdad district

Open Access
|Aug 2026

Figures & Tables

Table 1

Weighting parameters values [36,37,38,39].

ParameterCoefficient k i
C1C2C3C4
1. Total shear resistance of walls00.050.120.21
2. Plan regularity00.010.040.07
3. Elevation regularity00.010.040.07
4. Walls connection00.030.070.10
5. Walls type00.010.030.05
6. Floor00.010.030.05
7. Roof00.010.030.05
8. Soil conditions00.020.060.10
9. Pounding effect00.010.040.07
10. Modifications00.010.040.07
11. Details00.000.020.03
12. General maintenance conditions00.030.080.13

Source: data from Djaalali et al.

Table 2

Correlation coefficients between total VI and partial parameters (Ain Temouchent 1999, Boumerdes 2003).

Earthquake elementAin Temouchent (1999)Boumerdes (2003)
1. Total shear resistance of walls0.640.66
2. Plan regularity0.170.21
3. Elevation regularity0.140.22
4. Walls connection0.420.51
5. Walls type0.150.23
6. Floor0.180.20
7. Roof0.150.18
8. Soil conditions0.370.49
9. Pounding effect0.150.27
10. Modifications0.120.18
11. Details0.080.10
12. General maintenance conditions0.460.53

Source: Author’s contribution.

Table 3

Classification of URM structures according to the VI.

ClassP1 – GreenP2 – OrangeP3 – Red
VI0.0–0.200.20–0.600.60–1.00

Source: Author’s contribution.

Figure 1

Belouizdad with the seafront.

Source: Author’s contribution.

Figure 2

Belouizdad street.

Source: Author’s contribution.

Figure 3

URM constructions in the district of Belouizdad.

Source: Author’s contribution.

Table 4

Number of buildings according to the number of floors.

LevelNumber of buildings
1150
2220
3156
453
523
630
711

Source: Author’s contribution.

Figure 4

Percentage of buildings according to the number of floors.

Source: Author’s contribution.

Table 5

Buildings classification according to their construction period.

YearNumber of buildings
1830–18541
1854–188113
1881–191583
1915–196241

Source: Author’s contribution.

Figure 5

Percentage of buildings according to their period of construction.

Source: Author’s contribution.

Figure 6

Distribution of buildings according to the parameter “modifications”.

Source: Author’s contribution.

Figure 7

Vulnerability distribution of URM constructions in the district of Belouizdad.

Source: Author’s contribution.

Figure 8

Distribution of the seismic vulnerability of buildings in the municipality.

Source: Author’s contribution.

Figure 9

Buildings classification in Belouizdad district according to the vulnerability classes.

Source: Author’s contribution.

Figure 10

Algerian vulnerability curves for URM buildings [36,37].

Source: data from Djaalali et al.

Table 6

Limit states damage [43].

Damage categoriesMDR range
Negligible (non-structural)0.01–0.10
Minor (light structural)0.10–0.20
Moderate
Severe
Collapse0.20–0.50
0.50–0.85
0.85–1.00

Source: data from Williams & Sexsmith.

Figure 11

Empirical fragility data (points) and corresponding log-normal fitted curves.

Source: Author’s contribution.

Table 7

Log-normal parameters.

MMI μ ln D σ ln D
VII2.4441.886
VIII−1.5371.335
IX−1.0621.182
X−0.7640.881

Source: Author’s contribution.

Figure 12

Fitted fragility curves for Algiers URM buildings derived from the log-normal model across the damage states.

Source: Author’s contribution.

Table 8

Risk-UE Mean VI.

Building typologyMean VI
URM M1.2, Risk-UE0.74
URM M 3.3, Risk-UE0.70

Source: data from Milutinovic & Trendafiloski.

Figure 13

Fragility curves comparison between Algerian URM and Risk-UE (M1.2 and M3.3).

Source: Author’s contribution.

Table 9

Percentage of the average deviation between Algerian URM and Risk-UE

Damage level% of average deviation
Algerian URM/M3.3, Risk-UEAlgerian URM/M1.2, Risk-UE
None17.1217.12
Light27.1327.46
Moderate29.0029.30
Severe16.1516.17
Collapse8.868.96

Source: Author’s contribution.

Figure 14

Seismic scenario for intensity VII.

Source: Author’s contribution.

Figure 15

Seismic scenario for intensity VIII.

Source: Author’s contribution.

Figure 16

Seismic scenario for intensity IX.

Source: Author’s contribution.

Figure 17

Seismic scenario for intensity X.

Source: Author’s contribution.

Figure A1

Tornado diagram of sensitivity of VI parameters (Boumerdes 2003).

Source: Author’s contribution.

Table A1

Comparison of damage state thresholds (in terms of MDR) across different frameworks.

Damage statePark & Ang (1985)EMS-98/Risk-UEFEMA/HAZUS (URM)This study
NegligibleMDR <0.10Negligible (0–0.1)Slight (0–0.1)0.01–0.10
Minor0.10–0.20Slight (0.1–0.2)Slight–Moderate (0.1–0.25)0.10–0.20
Moderate0.20–0.50Moderate (0.2–0.5)Moderate (0.25–0.5)0.20–0.50
Severe0.50–0.85Substantial–heavy (0.5–0.8)Extensive (0.5–0.8)0.50–0.85
Collapse>0.85Collapse (>0.85)Complete (>0.8–1.0)0.85–1.0

Source: Author’s contribution.

Table A2

Ranked contribution of vulnerability parameters to total VI based on correlation coefficients (Boumerdes 2003).

RankParameterCorrelation with total VI
1Total shear resistance of walls0.66
2General maintenance conditions0.53
3Walls connection0.51
4Soil conditions0.49
5Pounding effect0.27
6Walls type0.23
7Elevation regularity0.22
8Plan regularity0.21
9Floor0.20
10Roof0.18
11Modifications0.18
12Details0.10

Source: Author’s contribution.

DOI: https://doi.org/10.2478/sgem-2026-0002 | Journal eISSN: 2083-831X (formerly 0137-124X) | Journal ISSN: 0137-6365
Language: English
Page range: 76 - 95
Submitted on: Apr 21, 2025
Accepted on: Feb 8, 2026
Published on: Aug 25, 2026
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services

© 2026 Fouzia Djaalali, Mahmoud Bensaibi, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.