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Periporomechanmics is a strong nonlocal framework for modeling the mechanics and physics of variably saturated porous media with evolving discontinuities. In periporomechanics, the horizon serves as a mathematical nonlocal parameter that…

数值分析 · 数学 2023-07-03 Xiaoyu Song , Hossein Pashazad

In this article we formulate and implement a computational multiphase periporomechanics model for unguided fracturing in unsaturated porous media. The same governing equation for the solid phase applies on and off cracks. Crack formation in…

数值分析 · 数学 2022-03-29 Shashank Menon , Xiaoyu Song

Dynamic shearing banding and fracturing in unsaturated porous media is a significant problem in engineering and science. This article proposes a multiphase micro-periporomechanics (uPPM) paradigm for modeling dynamic shear banding and…

数值分析 · 数学 2024-01-10 Hossein Pashazad , Xiaoyu Song

The thermo-hydro-mechanical of unsaturated soils plays a significant role in dynamic shear banding and fracturing. In this article, we propose a thermo-hydro-mechanical material model in the periporomechanics paradigm to model shear banding…

数值分析 · 数学 2024-03-28 Hessein Pashazad , Xiayou Song

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

数值分析 · 数学 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Unsaturated periporomechanics is a strong nonlocal poromechanics based on peridynamic state and effective force concept. In the previous periporomechnics the total Lagrangian formulation is adopted for the solid skeleton of porous media. In…

地球物理 · 物理学 2023-07-04 Shashank Menon , Xiaoyu Song

We implement a computational periporomechanics model for simulating localized failure in unsaturated porous media. The coupled periporomechanics model is based on the peridynamic state concept and the effective force state concept. The…

数值分析 · 数学 2021-07-07 Shashank Menon , Xiaoyu Song

The large-deformation mechanics and multiphysics of continuous or fracturing partially saturated porous media under static and dynamic loads are significant in engineering and science. This article is devoted to a computational coupled…

数值分析 · 数学 2023-05-02 Shashank Menon , Xiaoyu Song

A range of phenomena in the subsurface is characterised by the interplay between coupled thermal, hydraulic and mechanical processes and deforming structures such as fractures. Modelling subsurface dynamics can provide valuable…

数值分析 · 数学 2021-09-22 Ivar Stefansson , Inga Berre , Eirik Keilegavlen

In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow is governed by Richards' equation. The submodels are…

数值分析 · 数学 2024-11-01 Florian List , Kundan Kumar , Iuliu Sorin Pop , Florin A. Radu

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

材料科学 · 物理学 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many…

地球物理 · 物理学 2021-06-04 Nguyen Van Nghia A , Damien Jougnot , Luong Thanh , Phan van Do , Tran Thuy , Dang Hue , Nguyen Hung

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

流体动力学 · 物理学 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

We review microstructural fracture growth models suitable for the study of hydraulic fracture processes in disordered porous materials and present some basic results. It is shown that microstructural models exhibit certain similarities to…

材料科学 · 物理学 2007-05-23 F. Tzschichholz , M. Wangen

Current theories of diffusiophoresis in porous media are limited to a porous medium saturated with a valence symmetric electrolyte. A predictive model for diffusiophoresis in porous media saturated with a valence asymmetric electrolyte, or…

软凝聚态物质 · 物理学 2024-12-03 Siddharth Sambamoorthy , Henry C. W. Chu

Porous media containing cracks, fractures, or internal discontinuities arise throughout subsurface geomechanics, biomechanics, and materials science. Numerical simulation of the coupled hydromechanical response is inherently challenging…

计算工程、金融与科学 · 计算机科学 2026-04-20 David Michael Riley , Guglielmo Scovazzi , Ioannis Stefanou

We combine classical continuum mechanics with the recently developed calculus for mixed-dimensional problems to obtain governing equations for flow in, and deformation of, fractured materials. We present models both in the context of finite…

偏微分方程分析 · 数学 2021-12-10 Wietse M. Boon , Jan M. Nordbotten

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

计算工程、金融与科学 · 计算机科学 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

This contribution presents a concept to dynamic fracture with continuum-kinematics-based peridynamics. Continuum-kinematics-based peridynamics is a geometrically exact formulation of peridynamics, which adds surface- or volumetric-based…

计算工程、金融与科学 · 计算机科学 2022-09-21 Kai Friebertshäuser , Christian Wieners , Kerstin Weinberg

Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

流体动力学 · 物理学 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø
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