{
  "annotation_id": "9143a762-8355-41a1-aa97-812c0d8bda79",
  "date_created": "2026-03-02T18:01:18.484000Z",
  "date_modified": "2026-03-02T18:01:18.484000Z",
  "file_hash": "5fa12d4c694d90fc8bd743f7f5e3fbcff0338e199c3f572c149aebc56bf087df",
  "private": false,
  "record": {
    "abstract": "We study how a stress perturbation generated by a mainshock affects a\npopulation of faults obeying a rate-state friction law. Depending on the model\nparameters and on the initial state, the fault exhibits aftershocks, slow\nearthquakes, or decaying afterslip. We found several regimes with slip rate\ndecaying as a power-law of time, with different characteristic times and\nexponents. The complexity of the model makes it unrealistic to invert for the\nfriction law parameters from afterslip data. We modeled afterslip measurements\nfor the Southern California Superstition Hills earthquake using the complete\nrate-and-state law, and found a huge variety of model parameters that can fit\nthe observed data. In particular, it is impossible to distinguish the stable\nvelocity strengthening regime (A\u003eB) from the (potentially) unstable velocity\nweakening regime (B\u003eA and stiffness k\u003ckc). Therefore, it is not necessary to\ninvolve small scale spatial or temporal fluctuations of friction parameters A\nor B in order to explain the transition between stable sliding and seismic\nslip. In addition to B/A and stiffness k/kc, the fault behavior is strongly\ncontrolled by stress levels following an event. Stress heterogeneity can thus\nexplain most of the variety of postseismic behavior observed in nature.\nAfterslip will induce a progressive reloading of faults that are not slipping,\nwhich can trigger aftershocks. Using the relation between stress and seismicity\nderived from the rate-and-state friction law, we estimate the aftershock rate\ntriggered by afterslip. Aftershock rate does not simply scale with stress rate,\nbut exhibits a different characteristic time and power-law exponent.",
    "arxiv_id": "physics/0703249",
    "authors": [
      "Agnes Helmstetter",
      "Bruce E. Shaw"
    ],
    "categories": [
      "physics.geo-ph"
    ],
    "title": "Afterslip and aftershocks in the rate-and-state friction law",
    "url": "https://arxiv.org/abs/physics/0703249"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a88b6fd1-6a0f-4db6-9fec-00675df8bf0c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}