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Hydro-mechanical processes in rough fractures are highly non-linear and govern productivity and associated risks in a wide range of reservoir engineering problems. To enable high-resolution simulations of hydro-mechanical processes in…

Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous properties compared to the surrounding rock matrix,…

Numerical Analysis · Mathematics 2024-07-09 Enrico Ballini , Luca Formaggia , Alessio Fumagalli , Eirik Keilegavlen , Anna Scotti

The propagation of cracks driven by a pressurized fluid emerges in several areas of engineering, including structural, geotechnical, and petroleum engineering. We present a robust numerical framework to simulate fluid-driven fracture…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Bianca Giovanardi , Santiago Serebrinsky , Raul Radovitzky

Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture surface topographies, the non-linearity of hydromechanical…

Computational Physics · Physics 2020-03-17 Cyrill von Planta , Daniel Vogler , Xiaoqing Chen , Maria G. C. Nestola , Martin O. Saar , Rolf Krause

In this work, phase-field modeling of hydraulic fractures in porous media is extended towards a global-local approach. Therein, the failure behavior is solely analyzed in a (small) local domain. In the surrounding medium, a simplified and…

Numerical Analysis · Mathematics 2020-01-20 Fadi Aldakheel , Nima Noii , Thomas Wick , Peter Wriggers

In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM based subroutine to…

Mathematical Physics · Physics 2022-05-26 Michal Wrobel , Panos Papanastasiou , Daniel Peck

Recent years have seen a significant interest in using phase field approaches to model hydraulic fracture, so as to optimise a process that is key to industries such as petroleum engineering, mining and geothermal energy extraction. Here,…

Computational Engineering, Finance, and Science · Computer Science 2025-06-24 Y. Navidtehrani , C. Betegón , J. Vallejos , E. Martínez-Pañeda

Many geo-engineering applications, e.g., enhanced geothermal systems, rely on hydraulic fracturing to enhance the permeability of natural formations and allow for sufficient fluid circulation. Over the past few decades, the phase-field…

Geophysics · Physics 2023-04-27 Fan Fei , Andre Costa , John E. Dolbow , Randolph R. Settgast , Matteo Cusini

This paper presents a hybrid modeling approach for simulating hydraulic fracture propagation in saturated porous media: ordinary state-based peridynamics is used to describe the behavior of the solid phase, including the deformation and…

Numerical Analysis · Mathematics 2023-07-21 Tao Ni , Francesco Pesavento , Mirco Zaccariotto , Ugo Galvanetto , Qi-Zhi Zhua , Bernhard A. Schrefler

Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the fractures and…

Computational Engineering, Finance, and Science · Computer Science 2017-12-21 Eirik Keilegavlen , Alessio Fumagalli , Runar Berge , Ivar Stefansson

In this paper, we present a multiscale method for simulations of the multicontinua unsaturated flow problems in heterogeneous fractured porous media. The mathematical model is described by the system of Richards equations for each continuum…

Numerical Analysis · Mathematics 2019-08-02 Denis Spiridonov , Maria Vasilyeva , Eric T. Chung

Over the last decade, finite volume discretizations for flow in porous media have been extended to handle situations where fractures dominate the flow. These discretizations have successfully been combined with the discrete fracture-matrix…

Numerical Analysis · Mathematics 2017-12-25 Ivar Stefansson , Inga Berre , Eirik Keilegavlen

In this paper, a novel hybrid FEM and Peridynamic modeling approach proposed in Ni et al. (2020) is used to predict the dynamic solution of hydro-mechanical coupled problems. A modified staggered solution algorithm is adopted to solve the…

Numerical Analysis · Mathematics 2023-07-24 Tao Ni , Francesco Pesavento , Mirco Zaccariotto , Ugo Galvanetto , Bernhard A. Schrefler

The present work deals with the numerical resolution of coupled 3D-2D problems arising from the simulation of fluid flow in fractured porous media modeled via the Discrete Fracture and Matrix (DFM) model. According to the DFM model,…

Numerical Analysis · Mathematics 2024-01-18 Stefano Scialò

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 present an implicit, fully-coupled hydro-mechanical solver for the three dimensional simulation of fluid-driven rupture propagation along existing discontinuities. The solver handles simultaneously frictional slip (shear failure) and…

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…

Numerical Analysis · Mathematics 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

We introduce a coupled system of PDEs for the modeling of the fluid-fluid and fluid-solid interaction in a poroelastic material with a single static fracture. The fluid flow in the fracture is modeled by a lower-dimensional Darcy equation,…

Numerical Analysis · Mathematics 2016-08-15 Katja K. Hanowski , Oliver Sander

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracture-matrix approach. The…

Numerical Analysis · Mathematics 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

In the paper, we propose a new effective mathematical formulation and resulting universal numerical algorithm capable of tackling various HF models in the framework of a unified approach. The presented numerical scheme is not limited to any…

Fluid Dynamics · Physics 2015-04-23 Michal Wrobel , Gennady Mishuris
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