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Accurate numerical simulation of fault and fracture mechanics is critical for the performance and safety assessment of many subsurface systems. The discretized representation of discontinuity surfaces and the robust simulation of their…

Numerical Analysis · Mathematics 2026-03-20 Daniele Moretto , Andrea Franceschini , Massimiliano Ferronato

Imaging the anelastic deformation within the crust and lithosphere using surface geophysical data remains a significant challenge in part due to the wide range of physical processes operating at different depths and to various levels of…

Geophysics · Physics 2018-02-27 Walter Landry , Sylvain Barbot

Earthquakes cause lasting changes in static equilibrium, resulting in global deformation fields that can be observed. Consequently, deformation measurements such as those provided by satellite based InSAR monitoring can be used to infer an…

Geophysics · Physics 2022-06-01 G. J. van Zwieten , E. H. van Brummelen , R. F. Hanssen

Approximation of problems in linear elasticity having small shear modulus in a thin region is considered. Problems of this type arise when modeling ground motion due to earthquakes where rupture occurs in a thin fault. It is shown that,…

Numerical Analysis · Mathematics 2024-09-25 Jing Liu , Xin Yang Lu , Noel J Walkington

Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear material behaviour, natural complexities, and multi-physics…

Subsurface geometries are often poorly constrained, yet they exert first-order control on key geophysical processes, including subduction zone thermal structure and earthquake rupture dynamics. Quantifying model sensitivity to geometric…

Geophysics · Physics 2025-06-23 Gabrielle M. Hobson , Dave A. May , Alice-Agnes Gabriel

When a dynamic earthquake rupture propagates on a fault in the Earth's crust, the medium around the fault is dynamically damaged due to stress concentrations around the rupture tip. Recent field observations, laboratory experiments and…

Geophysics · Physics 2019-11-12 Kurama Okubo , Esteban Rougier , Zhou Lei , Harsha S. Bhat

Numerical models are starting to be used for determining the future behaviour of seismic faults and fault networks. Their final goal would be to forecast future large earthquakes. In order to use them for this task, it is necessary to…

Tectonic faults are commonly modelled as Volterra or Somigliana dislocations in an elastic medium. Various solution methods exist for this problem. However, the methods used in practice are often limiting, motivated by reasons of…

Numerical Analysis · Mathematics 2013-12-30 G. J. van Zwieten , E. H. van Brummelen , K. G. van der Zee , M. A. Gutiérrez , R. F. Hanssen

We present a new method to invert variable stress changes of fractures from InSAR ground displacements. Fractures can be either faults or magma intrusions, embeded in a 3D heterogeneous crust with prominent topographies. The method is based…

Geophysics · Physics 2022-12-07 Farshid Dabaghi , Oliver Bodart , Valérie Cayol

We consider a model for elastic dislocations in geophysics. We model a portion of the Earth's crust as a bounded, inhomogeneous elastic body with a buried fault surface, along which slip occurs. We prove well-posedness of the resulting…

Analysis of PDEs · Mathematics 2025-02-07 Andrea Aspri , Elena Beretta , Anna L. Mazzucato

This paper investigates the nonlinear dynamics of stepping flexible frames under seismic excitation. The conventional iterative method of solution of peak quasi-dynamic displacement of stepping frames is not guaranteed to converge. To…

Geophysics · Physics 2025-05-13 Arzhang Alimoradi , James L. Beck

We review the recent researches of numerical simulations on faulting, which are interpreted in this paper as the evolution of the state of the fault plane and the evolution of fault structure. The theme includes the fault constitutive…

Geophysics · Physics 2010-07-26 Hideo Aochi , Ryosuke Ando

Earthquake phase association algorithms aggregate picked seismic phases from a network of seismometers into individual earthquakes and play an important role in earthquake monitoring. Dense seismic networks and improved phase picking…

The paper presents an effective macro-modelling approach, utilising an anisotropic material model with embedded discontinuities, for masonry arches and bridges under cyclic loading, including dynamic actions induced by earthquakes.…

Computational Engineering, Finance, and Science · Computer Science 2022-02-15 B. Pantò , S. Grosman , L. Macorini , B. A. Izzuddin

Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the mesh to be aligned with the discontinuity or cumbersome…

Numerical Analysis · Mathematics 2011-07-26 Sundararajan Natarajan , D. Roy Mahapatra , Stephane PA Bordas

Simulating long-term, fully dynamic sequences of earthquakes and aseismic slip (SEAS) on geometrically complex fault networks remains computationally demanding due to the cost of resolving elastodynamic interactions. Although…

Geophysics · Physics 2026-03-03 Federico Ciardo , Pierre Romanet

This work extends the VirtualQuake earthquake simulation framework to incorporate the effects of fluid injection on fault stability and induced seismicity. Reworking VirtualQuake into a system using stress point sources, instead of…

Geophysics · Physics 2026-04-08 Spence Norwood , John Rundle

Two non-overlapping domain decomposition methods are presented for the mixed finite element formulation of linear elasticity with weakly enforced stress symmetry. The methods utilize either displacement or normal stress Lagrange multiplier…

Numerical Analysis · Mathematics 2017-11-28 Eldar Khattatov , Ivan Yotov

We find the static displacement, stress, strain and the modified Columb failure stress produced in an elastic medium by a finite size rectangular fault after its dislocation with uniform stress drop but a non uniform dislocation on the…

Geophysics · Physics 2007-05-23 R. Console , F. Catalli
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