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Variance-based global sensitivity analysis, in particular Sobol' analysis, is widely used for determining the importance of input variables to a computational model. Sobol' indices can be computed cheaply based on spectral methods like…

Global sensitivity analysis (GSA) can provide rich information for controlling output uncertainty. In practical applications, segmented models are commonly used to describe an abrupt model change. For segmented models, the complicated…

Applications · Statistics 2025-06-12 Shi-Shun Chen , Xiao-Yang Li

To analyze hydration effects on macromolecular diffusion, the friction coefficients of macromolecules were examined using molecular dynamics simulations with an all-atom model. In the present study, a method was introduced to decompose the…

Biological Physics · Physics 2024-09-26 Tomoya Iwashita , Yuki Uematsu , Masahide Terazima , Ryo Akiyama

Multiphase flow through a porous medium involves complex interactions between gravity, wettability and capillarity during drainage process. In contrast to these factors, the effect of pore distribution on liquid retention is less…

Soft Condensed Matter · Physics 2018-10-30 Guanzhe Cui , Mingchao Liu , Weijing Dai , Yixiang Gan

The material removal rates during milling operations are affected by the selection of the cutting depth and spindle speed. Poor selection of these parameters can result in chatter or suboptimal material removal rates. Stability Lobe…

Numerical Analysis · Mathematics 2024-07-16 M. Hashemitaheri , T. T. Le , T. Khan , H. Cherukuri

This study presents the formulation, the numerical solution, and the validation of a theoretical framework based on the concept of variable-order mechanics and capable of modeling dynamic fracture in brittle and quasi-brittle solids. More…

Materials Science · Physics 2020-08-26 Sansit Patnaik , Fabio Semperlotti

This paper presents an efficient surrogate modeling strategy for the uncertainty quantification and Bayesian calibration of a hydrological model. In particular, a process-based dynamical urban drainage simulator that predicts the discharge…

Computation · Statistics 2019-11-14 Joseph B. Nagel , Jörg Rieckermann , Bruno Sudret

Global sensitivity analysis is a powerful set of ideas and heuristics for understanding the importance and interplay between uncertain parameters in a computational model. Such a model is characterized by a set of input parameters and an…

Numerical Analysis · Mathematics 2020-12-23 Chun Yui Wong , Pranay Seshadri , Geoffrey T. Parks

Traditionally, stress fluctuations in flowing and deformed materials are overlooked, with an obvious focus on average stresses in a continuum mechanical approximation. However, these fluctuations, often dismissed as noise, hold the…

Materials Science · Physics 2024-07-02 Arturo Winters , Hans Christian Öttinger , Jan Vermant

In this paper the problem of a plane strain hydraulic fracture in elasto-plastic material is analyzed. The analysis is based on Finite Element Method computations of crack propagation and closure to simulate the Mini-Frac calibration test.…

Materials Science · Physics 2022-12-06 Michal Wrobel , Panos Papanastasiou , Martin Dutko

Sobol indices are a widespread quantitative measure for variance-based global sensitivity analysis, but computing and utilizing them remains challenging for high-dimensional systems. We propose the tensor train decomposition (TT) as a…

Numerical Analysis · Computer Science 2017-12-04 Rafael Ballester-Ripoll , Enrique G. Paredes , Renato Pajarola

Dissolution in porous media and fractured rocks alters both the chemical composition of the fluid and the physical properties of the solid. Depending on system conditions, reactive flow may enlarge pores uniformly, widen pre-existing…

Geophysics · Physics 2026-03-30 Tomasz Szawełło , Jeffrey D. Hyman , Peter K. Kang , Piotr Szymczak

This study analyzes the problem of a constant height hydraulic fracture. It is assumed that the fracture is driven by Newtonian fluid, and the effects of fracture toughness and leak-off are included in the model as well. Analysis of the tip…

Geophysics · Physics 2024-07-24 Egor Dontsov

A pore-scale numerical model for reactive transport processes based on the Lattice Boltzmann method is used to study the dissolution-induced changes in hydrologic properties of a fractured medium and a porous medium. The solid phase of both…

Fluid Dynamics · Physics 2015-06-23 Li Chen , Qinjun Kang , Hari S. Viswanathan , Wenquan Tao

In fractured poroelastic media under high differential stress, the shearing of fractures and faults and the corresponding propagation of wing cracks can be induced by fluid injection. Focusing on low-pressure stimulation with fluid…

Numerical Analysis · Mathematics 2023-05-01 Hau Trung Dang , Inga Berre , Eirik Keilegavlen

We describe a novel attribution method which is grounded in Sensitivity Analysis and uses Sobol indices. Beyond modeling the individual contributions of image regions, Sobol indices provide an efficient way to capture higher-order…

Computer Vision and Pattern Recognition · Computer Science 2022-02-17 Thomas Fel , Remi Cadene , Mathieu Chalvidal , Matthieu Cord , David Vigouroux , Thomas Serre

We present a fully coupled boundary integral formulation for modeling steadily propagating semi-infinite plane strain fractures in poroelastic media. By combining fundamental solutions of plain strain poroelasticity for instantaneous fluid…

Geophysics · Physics 2026-04-21 Evgenii Kanin , Andreas Möri , Dmitry Garagash , Brice Lecampion

Modeling of wall-bounded turbulent flows is still an open problem in classical physics, with only modest progress made in the last few decades beyond the so-called `log law', which describes only the intermediate region in wall-bounded…

Fluid Dynamics · Physics 2018-08-31 Fangying Song , George Em Karniadakis

In this paper, our proposal consists of incorporating frailty into a statistical methodology for modeling time-to-event data, based on non-proportional hazards regression model. Specifically, we use the generalized time-dependent logistic…

Hydraulic stimulation of geothermal reservoirs in low-permeability basement and crystalline igneous rock can enhance permeability by reactivation and shear dilation of existing fractures. The process is characterized by interaction between…

Geophysics · Physics 2020-12-08 Inga Berre , Ivar Stefansson , Eirik Keilegavlen
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