Preprints
https://doi.org/10.48550/arXiv.2601.07404
https://doi.org/10.48550/arXiv.2601.07404
07 Apr 2026
 | 07 Apr 2026
Status: this preprint is open for discussion and under review for Natural Hazards and Earth System Sciences (NHESS).

Universal scaling between precursory duration and event size across mechanically driven geohazards

Qinghua Lei and Didier Sornette

Abstract. Many catastrophic events, including landslides, rockbursts, glacier breakoffs, and volcanic eruptions, are preceded by an observable acceleration phase that offers a critical window for early warning and hazard mitigation; however, the duration of this precursory phase remains poorly constrained across sites, scales, and hazard types. This limitation arises because the onset of acceleration is often identified using heuristic thresholds or empirical criteria. Here, we introduce a physics-based framework that objectively constrains the precursory duration from accelerating dynamics, without prescribing the onset a priori or being tied to any specific observable. We analyze a global dataset of 109 geohazard events across seven continents over the past century, quantifying their precursory durations in a consistent manner. For mechanically driven instabilities, we identify a robust scaling between precursory duration and failure volume spanning more than ten orders of magnitude. When expressed in terms of a characteristic system size, this relationship is close to linear, consistent with finite-size scaling near a dynamical critical point. This behavior indicates that precursory duration reflects the progressive growth of correlated deformation up to system-spanning scales, rather than local rupture kinetics. The resulting universality points to common organizing mechanisms governing the approach to catastrophic failure across mechanically driven geohazards.

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Qinghua Lei and Didier Sornette

Status: open (until 19 May 2026)

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Qinghua Lei and Didier Sornette

Data sets

Landslide dataset Qinghua Lei and Didier Sornette https://zenodo.org/records/16400500

Model code and software

LPPLS code Qinghua Lei and Didier Sornette https://zenodo.org/records/15362582

Qinghua Lei and Didier Sornette
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Latest update: 07 Apr 2026
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Short summary
Natural hazards such as mountain collapses, mine bursts, glacier breakoffs, and volcanic eruptions are often preceded by a period of accelerating activity before final failure. Understanding how long this preparatory phase lasts is crucial for forecasting. By analyzing 109 events worldwide, we discover a simple relationship between precursory duration and event size. The results suggest that precursory duration is controlled by the time required for correlated damage to grow to system scale.
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