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Natural faults often contain a fluid-saturated, granular fault-gouge layer, whose failure and sliding processes play a central role in earthquake dynamics. Using a two-dimensional discrete element model coupled with fluid dynamics, we…

Geophysics · Physics 2024-11-20 Pritom Sarma , Einat Aharonov , Renaud Toussaint , Stanislav Parez

Frictional heat during earthquake rupture raises the pressure of fault zone fluids and affects the rupture process and its seismic radiation. Here, we investigate the role of two key parameters governing thermal-pressurization of pore…

The damage characteristics of a shallow buried tunnel under multiple explosive loads is an important research issue in the design and evaluation of protective engineering. It is of great significance to develop a method for early warning of…

Geophysics · Physics 2020-10-02 Shengdong Zhang , Shihui You , Longfei Chen , Xiaofei Liu

The ability to detect when a system undergoes an incipient fault is of paramount importance in preventing a critical failure. Classic methods for fault detection (including model-based and data-driven approaches) rely on thresholding error…

Signal Processing · Electrical Eng. & Systems 2025-02-13 Camilo Ramírez , Jorge F. Silva , Ferhat Tamssaouet , Tomás Rojas , Marcos E. Orchard

Landscape paradigm is ubiquitous in physics and other natural sciences, but it has to be supplemented with both quantitative and qualitatively meaningful tools for analyzing the topography of a given landscape. We here consider dynamic…

Statistical Mechanics · Physics 2009-11-10 Jean-Pierre Aubin , Annick Lesne

Using the static-dynamic analogy, work at Bath and Bristol has uncovered the vital organizing role of the Maxwell 'energy criterion' load in the advanced post-buckling of long-thin structures which exhibit severe shell-like imperfection…

Dynamical Systems · Mathematics 2015-06-18 J. M. T. Thompson , G. H. M. van der Heijden

Many studies in economics deal with the non-reliability cost to assess insurance fees or investment analyses, but none takes into consideration the mechanical aspect of reliability analysis. Other studies in mechanics give some tools and…

Risk Management · Quantitative Finance 2019-12-16 P-J. Tisserand , M. Ragueneau

Shear rupture and fault slip in crystalline rocks like granite produce large dilation, impacting the spatiotemporal evolution of fluid pressure in the crust during the seismic cycle. To explore how fluid pressure variations are coupled to…

Geophysics · Physics 2023-11-07 Frans M. Aben , Nicolas Brantut

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…

Geophysics · Physics 2026-03-10 Qinghua Lei , Didier Sornette

A re-investigation of the gravothermal catastrophe is presented. By means of a linear perturbation analysis, we study the dynamical stability of a spherical self-gravitating isothermal fluid of finite volume and find that the conditions for…

Astrophysics of Galaxies · Physics 2015-06-12 M. C. Sormani , G. Bertin

A spring-block model governed by threshold dynamics and driven by temporally increasing spring constants is investigated. Due to its novel multiplicative driving, criticality occurs even with periodic boundary conditions via a mechanism…

Statistical Mechanics · Physics 2009-10-30 Kwan-tai Leung , Joergen Vitting Andersen , Didier Sornette

Electric power networks are critical lifelines, and their disruption during earthquakes can lead to severe cascading failures and significantly hinder post-disaster recovery. Enhancing their seismic resilience requires identifying and…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Huangbin Liang , Beatriz Moya , Francisco Chinesta , Eleni Chatzi

We consider spherically symmetric supercritical focusing wave equations outside a ball. Using mixed analytical and numerical methods, we show that the threshold for blowup is given by a codimension-one stable manifold of the unique static…

Analysis of PDEs · Mathematics 2020-06-24 Piotr Bizoń , Maciej Maliborski

Finding the most likely path to a set of failure states is important to the analysis of safety-critical systems that operate over a sequence of time steps, such as aircraft collision avoidance systems and autonomous cars. In many…

Artificial Intelligence · Computer Science 2020-12-07 Ritchie Lee , Ole J. Mengshoel , Anshu Saksena , Ryan Gardner , Daniel Genin , Joshua Silbermann , Michael Owen , Mykel J. Kochenderfer

The traction evolution is a fundamental ingredient to model the dynamics of an earthquake rupture which ultimately controls, during the coseismic phase, the energy release, the stress redistribution and the consequent excitation of seismic…

Geophysics · Physics 2024-01-22 Andrea Bizzarri , Alberto Petri , Andrea Baldassarri

We study how a stress perturbation generated by a mainshock affects a population of faults obeying a rate-state friction law. Depending on the model parameters and on the initial state, the fault exhibits aftershocks, slow earthquakes, or…

Geophysics · Physics 2007-05-23 Agnes Helmstetter , Bruce E. Shaw

The $q$-model, a random walk model rich in behaviour and applications, is investigated. We introduce and motivate the $q$-model via its application proposed by Coppersmith {\em et al.} to the flow of stress through granular matter at rest.…

Disordered Systems and Neural Networks · Physics 2009-10-31 Marta Lewandowska , H. Mathur , Y. -K. Yu

Dynamic rupture simulations generate synthetic waveforms that account for non-linear source, path, and site complexity. Here, we analyze millions of spatially dense waveforms from 3D dynamic rupture simulations in a novel way to illuminate…

Geophysics · Physics 2023-07-07 Nico Schliwa , Alice-Agnes Gabriel

Nonlinear dynamical systems subjected to a combination of noise and time-varying forcing can exhibit sudden changes, critical transitions or tipping points where large or rapid dynamic effects arise from changes in a parameter that are…

Chaotic Dynamics · Physics 2024-05-21 Peter Ashwin , Julian Newman , Raphael Römer

Predicting region-wide structural responses under seismic shaking is essential for enhancing the effectiveness of earthquake engineering task forces such as earthquake early warning and regional seismic risk and resilience assessments.…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 Chunxiao Ning , Yazhou Xie