Journal of Seismology

, Volume 23, Issue 1, pp 181–193 | Cite as

The 2010 Beni-Ilmane, Algeria, earthquake sequence: statistical analysis, source parameters, and scaling relationships

  • Issam AbachaEmail author
  • Oualid Boulahia
  • Abdelkarim Yelles-Chaouche
  • Fethi Semmane
  • Hamoud Beldjoudi
  • Hichem Bendjama


Source parameters were estimated for the 18 largest events (MD ≥ 4) of the 2010 Beni-Ilmane earthquake sequence (north-central Algeria) using data recorded by permanent broadband seismic stations of the Algeria Digital Seismic Network (ADSN). Displacement spectra of P and S waves were estimated using a Brune seismic source model to compute spectral parameters. Spectra were corrected to account for path effects and near-surface attenuation. The average seismic moments estimated from P and S wave spectra ranged from 5.5 × 1014 to 1.6 × 1017 N m, with a logarithmic mean M0(S)/M0(P) ratio of 0.96. Source radii ranged from 735 to 2266 m with an average r(S)/r(P) value of 0.99. Stress drops varied from 0.2 to 11 MPa with an average Δσ(S)/Δσ(P) ratio of 1.08. Corner frequencies (fc) vary from 0.8 to 2.4 Hz, and moment magnitudes (Mw) range from 3.8 to 5.4. Scaling relations of seismic moments, source radii, and stress drops indicate that events with M0 ≥ 2 × 1016 N m have stress drops that are generally constant, while the stress drops of earthquakes with M0 < 2 × 1016 N m decrease with decreasing seismic moment. The source parameters of the 1960 Melouza (now Beni-Ilmane) moderate earthquake are also estimated from these scaling relationships. Finally, we find low b and γ values in the Gutenberg–Richter and gamma function laws. The seismic sequence is discussed in the context of the active tectonics of the Beni-Ilmane fault system.


Beni-Ilmane Statistical analysis Source parameter Scaling law Tellian chain 



The authors thank Professor Hamdache Mohamed (CRAAG) for his help with statistical analysis. We thank anonymous reviewers for their constructive comments and suggestions. Finally, the authors wish to thank the Editor of Journal of Seismology and Associate Editor Angela Saraò for their help in improving the content of the manuscript.


  1. Abacha I, Koulakov I, Semmane F, Yelles-Chaouche A (2014) Seismic tomography of the area of the 2010 Beni-Ilmane earthquake sequence, north central Algeria. Springer Plus, 3, 650
  2. Aki K (1967) Scaling law of seismic spectrum. J Geophys Res 72:1217–1231CrossRefGoogle Scholar
  3. Aki K and Richards PG (1980) Quantitative seismology: theory and methods, vols. 1 and 2. Freeman, San Francisco, CAGoogle Scholar
  4. Aki K (1984) Asperities, barriers, characteristic earthquakes and strong motion prediction. J Geophys Res 89(B7):5867–5872CrossRefGoogle Scholar
  5. Ambraseys NN, Free MW (1997) Surface wave magnitude calibration for European region earthquakes. J Earthq Eng 1(1):1–22Google Scholar
  6. Anderson JG, Hough SE (1984) A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies. Bull Seismol Soc Am 74:1969–1993Google Scholar
  7. Archuleta RJ, Cranswick E, Mueller C, Spudich P (1982) Source parameters of the 1980 Mammoth Lakes, California, earthquake sequence. J Geophys Res 87:4595–4697CrossRefGoogle Scholar
  8. Ataeva G, Shapira A, Hofstetter A (2014) Determination of source parameters for local and regional earthquakes in Israel. J Seismol ISSN 1383-4649 J Seismol. doi
  9. Beldjoudi H, Delouis B, Djellit H, Yelles-Chaouche A, Gharbi S, Abacha I (2016) The Beni-Ilmane (Algeria) seismic sequence of May 2010: seismic sources and stress tensor calculations. Tectonophysics 670:101–114. CrossRefGoogle Scholar
  10. Benhallou H (1985) Les catastrophes sismiques de la région d’Echelif dans le contexte de la sismicité historique de l’Algérie, Thèse de Doctorat. USTHB. Alger 294Google Scholar
  11. Benouar D (1994) Materials for the investigation of the seismicity of Algeria and adjacent regions during the twentieth century. Ann Geofis 37(4):459–860.Google Scholar
  12. Bernard P, Boudin F, Bourouis S, Patau G (2007) Transitoires de déformation dans le Rift de Corinthe. Communication orale, 3F Workshop, Nancy, FranceGoogle Scholar
  13. Boore DM, Boatwright J (1984) Average body-wave radiation coefficients. Bull Seismol Soc Am 74:1615–1621Google Scholar
  14. Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75:4997–5009CrossRefGoogle Scholar
  15. Brune JN (1971) Correction (to Brune 1970). J Geophys Res 76:5002CrossRefGoogle Scholar
  16. Centamore C, Montalto A, Patanè G (1997) Self-similarity and scaling relations for microearthquakes at Mt. Etna volcano (Italy). Phys Earth Planet Inter 103:165–177. CrossRefGoogle Scholar
  17. Corral A (2004) Long-term clustering, scaling, and universality in the temporal occurrence of earthquakes. Phys Rev Lett 92:108501CrossRefGoogle Scholar
  18. Fletcher JB (1980) Spectra from high-dynamic range digital recordings of the Oroville, California aftershocks and their source parameters. Bull Seismol Soc Am 70:735–755Google Scholar
  19. Fletcher JB, Haar LC, Vernon FL, Brune JN, Hanks TC, Berger J (1986) The effects of attenuation on the scaling of source parameters for earthquakes at Anza, California. In: Das, J., Boatwright, J., Scholtz, C.H. (Eds.), Earthquake source mechanics, Geophys. Monogr. Am. Geophys. Union, 57, pp. 331–338Google Scholar
  20. Garcίa JM, Vidal F, Romacho MD, Martín-Marfil JM, Posadas A, Luzón F (1996) Seismic source parameters for microearthquakes and small earthquakes of the Granada basin (Southern Spain). Tectonophysics 261:51–66CrossRefGoogle Scholar
  21. Garcίa JM, Romacho MD, Jiménez A (2004) Determination of near-surface attenuation, with κ parameter, to obtain the seismic moment, stress drop, source dimension and seismic energy for microearthquakes in the Granada Basin (Southern Spain). Phys Earth Planet Inter 141:9–26CrossRefGoogle Scholar
  22. Gutenberg B, Richter C (1944) Frequency of earthquakes in California. Bull Seismol Soc Am 34:185–188Google Scholar
  23. Gutenberg B, Richter C (1949) Seismicity of the Earth and associated phenomena. Princeton University PressGoogle Scholar
  24. Gutenberg B, Richter Ch (1954) Seismicity of the Earth and associated phenomena 2nd Edn: Princeton University PressGoogle Scholar
  25. Gutenberg B, Richter C (1956) Earthquake magnitude, intensity, energy and acceleration. Bull Seismol Soc Am 46:105–145Google Scholar
  26. Hamdache M, Pelaez JA, Gospodinov D, Henares J (2017) Statistical features of the 2010 Beni-Ilmane, Algeria, aftershock sequence. Pure Appl Geophys 175:773–792. CrossRefGoogle Scholar
  27. Hanks T, Wyss M (1972) The use of body wave spectra in the determination of seismic parameters. Bull Seismol Soc Am 62:561–589Google Scholar
  28. Hanks TC, Kanamori H (1977) A moment magnitude scale. J Geophys Res 84:2348–2350CrossRefGoogle Scholar
  29. Hanks TC (1982) fmax. Bull Seismol Soc Am 72:1867–1879Google Scholar
  30. Hainzl S, Scherbaum F, Beauval C (2006) Estimating background activity based on interevent-time distribution. Bull Seismol Soc Am 96(1):313–320. CrossRefGoogle Scholar
  31. Haskell N (1964) Total energy and energy spectral density of elastic wave radiation from propagating faults. Bull Seismol Soc Am 54:1811–1841Google Scholar
  32. Konno K, Ohmachi T (1998)Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor. Bull Seismol Soc Am 88:228–241Google Scholar
  33. Madariaga R (1976) Dynamics of an expanding circular fault. Bull Seismol Soc Am 66:639–666Google Scholar
  34. Modiano T (1980) Géophysique et Sismotectonique des Pyrénées occidentales -Etude détaillée du contenu spectral des ondes de volume dans la région focale-. Thèse de doctorat 3 cycle en Géophysique, Grenoble, Institut de Recherches Interdisciplinaires de Geologie et de Mecanique, 188 pGoogle Scholar
  35. Molnar P, Tucker B, Brune JB (1973) Corner frequencies of P and S waves and models of earthquake source. Bull Seismol Soc Am 63:2091–2104Google Scholar
  36. Savage JC (1972) Relation of corner frequency to fault dimensions. J Geophs Res 77:3788–3795CrossRefGoogle Scholar
  37. Semmane F, Abacha I, Yelles-Chaouche AK, Haned A, Beldjoudi H, Amrani A (2012) The earthquake swarm of December 2007 in the Mila region of northeastern Algeria. Nat Hazards 64:1855–1871. CrossRefGoogle Scholar
  38. Semmane F, Benabdeloud BYN, Beldjoudi H, Yelles-Chaouche A (2015) The 22 February 2014 Mw 4.1 Bordj-Menaïel earthquake, near Boumerdes-Zemmouri, North-Central Algeria. Seismol Res Lett 86(3):794–802. CrossRefGoogle Scholar
  39. Singh SK, Apsel RJ, Fried J, Brune JN (1982) Spectral attenuation of SH waves along the Imperial fault. Bull Seismol Soc Am 72(6):2003–2016Google Scholar
  40. Tusa G, Gresta S (2008) Frequency-dependent attenuation of Pwaves and estimation of earthquake source parameters in southeastern Sicily, Italy. Bull Seismol Soc Am 98:2772–2794CrossRefGoogle Scholar
  41. Utsu T, Ogata Y, Matsu’ura RS (1995) The centenary of the Omori formula for a decay law of aftershock activity. J Phys Earth 43:1–33CrossRefGoogle Scholar
  42. Wiemer S (2001) A software package to analyze seismicity: ZMAP. Seismol Res Lett 72(3):373–382CrossRefGoogle Scholar
  43. Yelles-Chaouche AK, Abacha I, Semmane F, Beldjoudi H (2013) The Beni-Ilmane (North Central Algeria) earthquake sequence of May 2010. Pure Appl Geophys
  44. Yelles-Chaouche AK, Allili T, Alili A, Messemen W, Beldjoudi H, Semmane F, Kherroubi A, Djellit H, Larbes Y, Haned S, Deramchi A, Amrani A, Chouiref A, Chaoui F, Khellaf K, Nait Sidi Said C (2013b) The new Algerian Digital Seismic Network (ADSN): towards an earthquake early-warning system. Adv Geosci 36:31–38. CrossRefGoogle Scholar
  45. Zazoun RS, Kadri MA, Cherigui A, Briedj M (2012) Le séisme du 14 Mai 2010 de Beni-Ilmane (M’sila, Algerie), (Ms = 5.2), Analyse des traces de surface. Bulletin du service Géologique National 23(1):85–101Google Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Centre de Recherche en Astronomie Astrophysique et Géophysique, CRAAGAlgiersAlgeria

Personalised recommendations