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The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The fully implicit method is preferred in reservoir simulations…

数值分析 · 数学 2026-04-13 Shizhe Li , Li Zhao , Chen-Song Zhang

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

地球物理 · 物理学 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

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…

地球物理 · 物理学 2010-07-26 Hideo Aochi , Ryosuke Ando

Diverse implicit structures of fluids are discovered lately, providing opportunities to study the physics of fluids applying network analysis. Although considerable works devote to identifying informative network structures of fluids, we…

流体动力学 · 物理学 2024-08-26 Yang Tian , Pei Sun , Yizhou Xu

This paper presents a new approach to verify accuracy of computational simulations. We develop mathematical theorems which can serve as robust a posteriori error estimation techniques to identify numerical pollution, check the performance…

数值分析 · 计算机科学 2016-11-23 M. Shabouei , K. B. Nakshatrala

This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow problem finds broad application in the context of gas…

数值分析 · 数学 2021-10-12 Björn Liljegren-Sailer , Nicole Marheineke

The failure of frictional interfaces and the spatiotemporal structures that accompany it are central to a wide range of geophysical, physical and engineering systems. Recent geophysical and laboratory observations indicated that interfacial…

材料科学 · 物理学 2015-03-19 Yohai Bar Sinai , Efim A. Brener , Eran Bouchbinder

In this article we present a goal-oriented adaptive finite element method for a class of subsurface flow problems in porous media, which exhibit seepage faces. We focus on a representative case of the steady state flows governed by a…

数值分析 · 数学 2021-01-12 Ben Ashby , Cassiano Bortolozo , Alex Lukyanov , Tristan Pryer

Crack micro-geometries and tribological properties pose an important impact on the elastic characteristics of fractured rocks. Numerical simulation as a promising way for this issue still faces some challenges. With the rapid development of…

地球物理 · 物理学 2020-11-04 Ning Liu

A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline network. Adaptive refinement strategies have the aim of bringing…

数值分析 · 数学 2017-02-01 Pia Domschke , Aseem Dua , Jeroen J. Stolwijk , Jens Lang , Volker Mehrmann

We applied a hybrid-dimensional flow model to pressure transients recorded during pumping experiments conducted at the Reiche Zeche underground research laboratory to study the normal opening behavior of fractures due to fluid injection.…

地球物理 · 物理学 2021-03-29 Patrick Schmidt , Holger Steeb , Jörg Renner

We address the velocity fluctuations of fastly moving cracks in stressed materials. One possible mechanism for such fluctuations is the interaction of the main crack with micro cracks (irrespective whether these are existing material…

材料科学 · 物理学 2007-05-23 E. Bouchbinder , D. Kessler , I. Procaccia

Numerical simulations of flow and transport in porous media usually rely on hybrid-dimensional models, i.e., the fracture is considered as objects of a lower dimension compared to the embedding matrix. Such models are usually combined with…

数值分析 · 数学 2020-11-18 Maria Giuseppina Chiara Nestola , Marco Favino

Moment-closure approximations are an important tool in the analysis of the dynamics on both static and adaptive networks. Here, we provide a broad survey over different approximation schemes by applying each of them to the adaptive voter…

适应与自组织系统 · 物理学 2012-11-05 G. Demirel , F. Vazquez , G. A. Böhme , T. Gross

We present a comprehensive workflow to simulate single-phase flow and transport in fractured porous media using the discrete fracture matrix approach. The workflow has three primary parts: (1) a method for conforming mesh generation of and…

计算工程、金融与科学 · 计算机科学 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

Complexity of fluid flow in a rough fracture is induced by the complex configurations of opening areas between the fracture planes. In this study, we model fluid flow in an evolvable real rock joint structure, which under certain normal…

流体动力学 · 物理学 2011-03-08 H. Ghaffari , A. Nabovati , M. Sharifzadeh , R. P. Young

This study introduces a physics-based machine learning framework for modeling both brittle and ductile fractures. Unlike physics-informed neural networks, which solve partial differential equations by embedding physical laws as soft…

数值分析 · 数学 2025-02-14 Fadi Aldakheel , Elsayed S. Elsayed , Yousef Heider , Oliver Weeger

Fracture processes in heterogeneous materials comprise a large number of disordered spatial degrees of freedom, representing the dynamical state of a sample over the entire domain of interest. This complexity is usually modeled directly,…

统计力学 · 物理学 2014-08-25 Yon Visell , Guillaume Millet

The problem of hydraulic fracture propagation is considered by using its recently suggested modified formulation in terms of the particle velocity, the opening in the proper degree, appropriate spatial coordinates and…

地球物理 · 物理学 2012-03-27 Gennady Mishuris , Michal Wrobel , Alexander Linkov

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

软凝聚态物质 · 物理学 2017-08-03 Nikolai Gorbushin , Gennady Mishuris