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Modeling flow in geosystems with natural fault is a challenging problem due to low permeability of fault compared to its surrounding porous media. One way to predict the behavior of the flow while taking the effects of fault into account is…

Numerical Analysis · Mathematics 2020-09-11 Youguang Chen , George Biros

Deep Geothermal Energy, Carbon Capture, and Storage and Hydrogen Storage have significant potential to meet the large-scale needs of the energy sector and reduce the CO$_2$ emissions. However, the injection of fluids into the earth's crust,…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Diego Gutierrez-Oribio , Ioannis Stefanou

We present a multi-resolution approach for constructing model-based simulations of hydraulic fracturing, wherein flow through porous media is coupled with fluid-driven fracture. The approach consists of a hybrid scheme that couples a…

Computational Engineering, Finance, and Science · Computer Science 2022-07-05 Andre Costa , Matteo Cusini , Tao Jin , Randolph Settgast , John Dolbow

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

Fluid injections can induce aseismic slip, resulting in stress changes that may propagate faster than pore pressure diffusion, potentially triggering seismicity at significant distances from injection wells. Constraining the maximum extent…

Geophysics · Physics 2024-09-06 Alexis Sáez , François Passelègue , Brice Lecampion

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…

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

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

Fluctuating hydrodynamics provides a model for fluids at mesoscopic scales where thermal fluctuations can have a significant impact on the behavior of the system. Here we investigate a model for fluctuating hydrodynamics of a single…

Fluid Dynamics · Physics 2015-06-22 Anuj Chaudhri , John B. Bell , Alejandro L. Garcia , Aleksandar Donev

Numerical modeling of the intensity and evolution of flood events are affected by multiple sources of uncertainty such as precipitation and land surface conditions. To quantify and curb these uncertainties, an ensemble-based simulation and…

Geophysics · Physics 2023-02-17 Junyu Wei , Xiangyu Luo , Weihong Liao , Xiaohui Lei , Jianshi Zhao , Haocheng Huang , Hao Wang

The information about the current-carrying ability of a type-II superconductor can be obtained by studying the flux relaxation and vortex penetration phenomena in the superconductor. In early studies, the infinite series models of the flux…

Superconductivity · Physics 2011-09-23 Rongchao Ma

Fluid-structure systems occur in a range of scientific and engineering applications. The immersed boundary(IB) method is a widely recognized and effective modeling paradigm for simulating fluid-structure interaction(FSI) in such systems,…

Numerical Analysis · Mathematics 2022-06-10 Ebrahim M. Kolahdouz , Amneet Pal Singh Bhalla , Brent A. Craven , Boyce E. Griffith

In contemporary times, the increasing complexity of the system poses significant challenges to the reliability, trustworthiness, and security of the SACRES. Key issues include the susceptibility to phenomena such as instantaneous voltage…

Hardware Architecture · Computer Science 2024-12-23 Enrico Magliano , Alessio Carpegna , Alessadro Savino , Stefano Di Carlo

Friction plays a fundamental role in many natural processes, including earthquakes, landslides, and volcanic eruptions. Earthquakes occur when highly compressed fault surfaces accumulate large enough shear stresses, causing the faults to…

Materials Science · Physics 2026-02-16 Mary Agajanian , Nadia Lapusta , Anna Pandolfi , Michael Ortiz

Accurate characterization of subsurface heterogeneity is challenging but essential for applications such as reservoir pressure management, geothermal energy extraction and CO$_2$, H$_2$, and wastewater injection operations. This challenge…

Machine Learning · Computer Science 2026-04-16 Harun Ur Rashid , Mingxin Li , Aleksandra Pachalieva , Georg Stadler , Daniel O'Malley

Hydraulic fracturing (fracking) using high pressures and a low viscosity fluid allow the extraction of large quantiles of oil and gas from very low permeability shale formations. The initial production of oil and gas at depth leads to high…

Geophysics · Physics 2014-09-29 J. Quinn Norris , Donald L. Turcotte , John B. Rundle

Despite its critical role in the study of earthquake processes, numerical simulation of the entire stages of fault rupture remains a formidable task. The main challenges in simulating a fault rupture process include complex evolution of…

Geophysics · Physics 2023-08-22 Fan Fei , Md Shumon Mia , Ahmed E. Elbanna , Jinhyun Choo

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

Traditional models of slow slip events (SSEs) often oversimplify fault geometry, yet imaging studies show that real subduction faults are segmented and complex. We investigate how fault interactions influence slip behavior using 3D…

Geophysics · Physics 2026-02-19 J. Cheng , H. S. Bhat , M. Almakari , B. Lecampion , P. Dubernet

Kinetic approaches, i.e., methods based on the lattice Boltzmann equations, have long been recognized as an appealing alternative for solving incompressible Navier-Stokes equations in computational fluid dynamics. However, such approaches…

Graphics · Computer Science 2018-07-09 Wei Li , Kai Bai , Xiaopei Liu