Crossref journal-article
American Geophysical Union (AGU)
Journal of Geophysical Research: Solid Earth (13)
Abstract

Using the 1973–2009 worldwide catalogs forM≥ 4.8 seismicity andVEI≥ 0 volcano eruptions, we compare the properties of seismic damage patterns contemporary with eruption with the properties of foreshocks and aftershocks of classic tectonic earthquakes. Using superposed epoch analysis, we demonstrated that the seismicity rate after eruption decreases as a power law similar to the Omori law of earthquake aftershocks. We further show that a complete mapping of Omori law of earthquake aftershocks onto eruption aftershocks does exist asRerup(t) = (K0.10β(VEI))/[(t+c)p], volcanic explosivity index (VEI), being an empirical measure that exponentially scales with eruption size.βclose to 0.4 is the value reported for M = 5–6.5 earthquakes from the same catalog. Thepvalues are in the 0.7 range, i.e., robustly smaller than the 0.9–1.0 range for earthquake aftershocks we estimated in the volcanic area.Kvalue for eruptions is 2–10 times smaller than for earthquakes, and it scales with VEI values. All those parameters characterize a slower damage relaxation after eruptions than after earthquakes. When earthquakes' foreshock rates are proposed to be independent of the main shock magnitude, we resolved a strong increase in foreshock rates including an increase of thep′ value of the inverse Omori law prior eruptions with eruption size. These patterns, all emerging from mean field analysis, are evidence of the volcanic eruptions being contemporary with a stochastic brittle damage in the Earth crust. These results suggest a generic damage relaxation within the Earth crust as power law distributed after or before events. The loading and relaxation exponents and the damage rate emerge as being controlled by the loading rate, as reported during lab‐scale experiments. The more impulsive the loading, i.e., km/s for the slip velocity during earthquakes against km/h for dyke propagation, the faster the relaxation (0.9–1.0pvalues for earthquakes' aftershocks against 0.7 for eruptions' aftershocks). Before eruptions, the larger the impending events, the higher thepvalues. All the observations converge toward the amplitude and frequency of the stress step to drive the Omori law parameters as qualitatively reproduced by the rate and state friction law response of brittle crust faults to loading.

Bibliography

Schmid, A., & Grasso, J. ‐R. (2012). Omori law for eruption foreshocks and aftershocks. Journal of Geophysical Research: Solid Earth, 117(B7). Portico.

Authors 2
  1. A. Schmid (first)
  2. J.‐R. Grasso (additional)
References 70 Referenced 13
  1. {'volume-title': 'Quantitative Seismology', 'year': '2002', 'author': 'Aki K.', 'key': 'e_1_2_7_2_1'} / Quantitative Seismology by Aki K. (2002)
  2. 10.1098/rspa.1914.0056
  3. 10.1029/2003GL016900
  4. 10.1029/2003GL017494
  5. 10.1016/0377-0273(94)90048-5
  6. 10.1029/JB087iB09p07739
  7. 10.1029/93JB02581
  8. 10.1029/2001JB000911
  9. 10.1785/0120030069
  10. 10.1029/2003GL019022
  11. 10.1785/BSSA0340040185
  12. 10.1029/2007JB005492
  13. 10.1103/PhysRevLett.91.058501
  14. 10.1029/2005JB004077
  15. 10.1029/2007JB005077
  16. 10.1029/2001JB001580
  17. 10.1103/PhysRevE.66.061104
  18. 10.1029/2003GL018186
  19. 10.1029/2003JB002409
  20. 10.1029/2002JB001991
  21. 10.1029/2004JB003286
  22. 10.1785/BSSA0800020325 / Bull. Seismol. Soc. Am. / The 1989 earthquake swarm beneath Mammoth Mountain, California: An initial look at the 4 May through 30 September activity by Hill D. P. (1990)
  23. 10.1029/2001JB001645
  24. 10.1029/JB084iB07p03596
  25. 10.1029/JB086iB04p02853
  26. 10.1126/science.236.4808.1563
  27. 10.1088/0034-4885/67/8/R03
  28. 10.1016/S0377-0273(03)00117-3
  29. 10.1029/98GL01609
  30. 10.1029/91JB01200
  31. 10.1029/JB089iB05p03059
  32. 10.1029/2005JB003949
  33. 10.1029/2007GL031438
  34. 10.1038/27650
  35. 10.1029/2005GL025157
  36. 10.1146/annurev.earth.34.031405.125125
  37. 10.1029/2011GL047165
  38. 10.1029/2001JB001391
  39. 10.1007/978-3-642-80087-0_3
  40. 10.1016/S0074-6142(02)80228-5
  41. {'key': 'e_1_2_7_42_1', 'first-page': '497', 'article-title': 'Fundamental research for predicting volcanic eruptions, Part I', 'volume': '38', 'author': 'Minakami T.', 'year': '1960', 'journal-title': 'Bull. Earthquake Res. Inst. Univ. Tokyo'} / Bull. Earthquake Res. Inst. Univ. Tokyo / Fundamental research for predicting volcanic eruptions, Part I by Minakami T. (1960)
  42. 10.1016/B978-0-444-41141-9.50007-3
  43. 10.1016/0377-0273(91)90058-8
  44. {'volume-title': 'The Physics of Creep: Creep and Creep‐Resistant Alloys', 'year': '1995', 'author': 'Nabarro F. R. N.', 'key': 'e_1_2_7_45_1'} / The Physics of Creep: Creep and Creep‐Resistant Alloys by Nabarro F. R. N. (1995)
  45. 10.1029/JC087iC02p01231
  46. 10.4294/jpe1952.31.115
  47. 10.1080/01621459.1988.10478560
  48. 10.1111/j.1365-246X.1993.tb04663.x
  49. 10.1029/2004GL020781
  50. {'key': 'e_1_2_7_51_1', 'first-page': '103', 'article-title': 'Investigation of aftershocks', 'volume': '2', 'author': 'Omori F.', 'year': '1894', 'journal-title': 'Rep. Earthquake Inv. Comm.'} / Rep. Earthquake Inv. Comm. / Investigation of aftershocks by Omori F. (1894)
  51. 10.1029/2004JB003311
  52. 10.1098/rsta.2000.0601
  53. 10.1029/2002JB001751
  54. 10.1029/97JB03514
  55. 10.1038/nature04094
  56. 10.1029/2011GL050604
  57. 10.1029/2004JB003415
  58. 10.1029/91GL00438
  59. Traversa P.(2009) Réponse sismique à un forçage magmatique PhD thesis Joseph Fourier Univ. Grenoble France. [Available athttp://hal.ird.fr/tel‐00458918.]
  60. 10.1785/0120080275
  61. {'issue': '4', 'key': 'e_1_2_7_62_1', 'first-page': '521', 'article-title': 'A statistical study on the occurrence of aftershocks', 'volume': '30', 'author': 'Utsu T.', 'year': '1961', 'journal-title': 'Geophys. Mag.'} / Geophys. Mag. / A statistical study on the occurrence of aftershocks by Utsu T. (1961)
  62. 10.1007/s000240050276
  63. 10.1016/S0074-6142(02)80246-7
  64. 10.4294/jpe1952.43.1
  65. 10.1038/332125a0
  66. 10.1029/2010GL044858
  67. 10.1785/0120100001
  68. 10.1029/96GL03779
  69. 10.1029/JB089iB10p08391
  70. 10.1029/2008JB005579
Dates
Type When
Created 13 years, 3 months ago (May 21, 2012, 3:58 a.m.)
Deposited 1 year, 3 months ago (April 24, 2024, 2:06 p.m.)
Indexed 3 weeks, 2 days ago (July 30, 2025, 6:29 a.m.)
Issued 13 years, 1 month ago (July 1, 2012)
Published 13 years, 1 month ago (July 1, 2012)
Published Online 13 years, 1 month ago (July 11, 2012)
Published Print 13 years, 1 month ago (July 1, 2012)
Funders 0

None

@article{Schmid_2012, title={Omori law for eruption foreshocks and aftershocks}, volume={117}, ISSN={0148-0227}, url={http://dx.doi.org/10.1029/2011jb008975}, DOI={10.1029/2011jb008975}, number={B7}, journal={Journal of Geophysical Research: Solid Earth}, publisher={American Geophysical Union (AGU)}, author={Schmid, A. and Grasso, J.‐R.}, year={2012}, month=jul }