dorsal/arxiv
View SchemaMultifractal Scaling of Thermally-Activated Rupture Processes
| Authors | D. Sornette, G. Ouillon |
|---|---|
| Categories | |
| ArXiv ID | physics/0407053 |
| URL | https://arxiv.org/abs/physics/0407053 |
| DOI | 10.1103/PhysRevLett.94.038501 |
| Journal | Phys. Rev. Lett. 94, 038501 (2005) |
Abstract
We propose a ``multifractal stress activation'' model combining thermally activated rupture and long memory stress relaxation, which predicts that seismic decay rates after mainshocks follow the Omori law $\sim 1/t^p$ with exponents $p$ linearly increasing with the magnitude $M_L$ of the mainshock and the inverse temperature. We carefully test this prediction on earthquake sequences in the Southern California Earthquake catalog: we find power law relaxations of seismic sequences triggered by mainshocks with exponents $p$ increasing with the mainshock magnitude by approximately $0.1-0.15$ for each magnitude unit increase, from $p(M_L=3) \approx 0.6$ to $p(M_L=7) \approx 1.1$, in good agreement with the prediction of the multifractal model.
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"abstract": "We propose a ``multifractal stress activation\u0027\u0027 model combining thermally\nactivated rupture and long memory stress relaxation, which predicts that\nseismic decay rates after mainshocks follow the Omori law $\\sim 1/t^p$ with\nexponents $p$ linearly increasing with the magnitude $M_L$ of the mainshock and\nthe inverse temperature. We carefully test this prediction on earthquake\nsequences in the Southern California Earthquake catalog: we find power law\nrelaxations of seismic sequences triggered by mainshocks with exponents $p$\nincreasing with the mainshock magnitude by approximately $0.1-0.15$ for each\nmagnitude unit increase, from $p(M_L=3) \\approx 0.6$ to $p(M_L=7) \\approx 1.1$,\nin good agreement with the prediction of the multifractal model.",
"arxiv_id": "physics/0407053",
"authors": [
"D. Sornette",
"G. Ouillon"
],
"categories": [
"physics.geo-ph"
],
"doi": "10.1103/PhysRevLett.94.038501",
"journal_ref": "Phys. Rev. Lett. 94, 038501 (2005)",
"title": "Multifractal Scaling of Thermally-Activated Rupture Processes",
"url": "https://arxiv.org/abs/physics/0407053"
},
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