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This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

Geophysics · Physics 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

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 study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

Numerical Analysis · Mathematics 2022-12-28 Davide Losapio , Anna Scotti

Accurate prediction of fracture toughness under complex loading conditions, like mixed mode I/II, is essential for reliable failure assessment. This paper aims to develop a machine learning framework for predicting fracture toughness and…

Computational Physics · Physics 2025-03-04 Amir Mohammad Mirzaei

We present a new theoretical and computational framework for modelling electro-chemo-mechanical fracture. The model combines a phase field description of fracture with a fully coupled characterisation of electrolyte behaviour, surface…

Computational Engineering, Finance, and Science · Computer Science 2023-08-02 T. Hageman , E. Martínez-Pañeda

In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an upscaled model for the resulting fine grid equations. The…

Numerical Analysis · Mathematics 2018-11-14 Maria Vasilyeva , Eric T. Chung , Yalchin Efendiev , Jihoon Kim

The capability to simulate a hydraulic fracturing process is an essential tool that can be used to optimize treatment design and increase the efficiency of field operations. In most practical cases, hydraulic fractures propagate in a…

Geophysics · Physics 2023-05-24 A. V. Valov , E. V. Dontsov , A. N. Baykin , S. V. Golovin

The development of hydraulic fracturing technology has dramatically increased the supply and lowered the cost of natural gas in the United States, driving an expansion of natural gas-fired generation capacity in several electrical…

Systems and Control · Computer Science 2015-07-24 Misha Chertkov , Michael Fisher , Scott Backhaus , Russell Bent , Sidhant Misra

This article presents a novel, robust and efficient framework for fatigue crack-propagation that combines the principles of Linear Elastic Fracture Mechanics (LEFM) with phase-field fracture (PFF). Contrary to cycle-by-cycle PFF approaches,…

Materials Science · Physics 2025-09-12 M. Castillón , I. Romero , J. Segurado

Fractures are ubiquitous in the subsurface. The flow and mechanical properties of these fractures are controlled by its compliance or stiffness. Characterizing fracture compliance and conductivity is crucial in applications such as fault…

Geophysics · Physics 2019-05-13 HanYi Wang , Mukul M. Sharma

Geothermal energy has the potential to support direct heat usage and electricity generation at low carbon footprint. Using CO2 as heat transfer fluid can allow us to achieve negative carbon energy solution. In this study, geothermal energy…

Geophysics · Physics 2021-08-13 Saeed Mahmoodpour , Mrityunjay Singh , Kristian Bär , Ingo Sass

In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear…

Analysis of PDEs · Mathematics 2022-05-30 Pushpi J. Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

A discretely fractured reservoir has the capability to support and sustain long term geothermal energy extraction operations. The process of injecting cold water to extract hot water from a fracture reservoir results in thermal and…

Geophysics · Physics 2021-07-07 Saeed Mahmoodpour , Mrityunjay Singh , Aysegul Turan , Kristian Bär , Ingo Sass

Phase field models are promising to tackle various fracture problems where a diffusive crack is introduced and modelled using the phase variable. Owing to the non-convexity of the energy functional, the derived partial differential…

Numerical Analysis · Mathematics 2022-12-28 Chenyi Luo

The classical variational approach to brittle fracture propagation does not distinguish between strain energy accumulation in tension versus compression and consequently results in physically unrealistic cracking under compression. A…

Materials Science · Physics 2024-10-15 Chang Liu , Aditya Kumar

This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth across two symmetric stress barriers, while the latter is…

Fluid driven fractures propagate in the upper earth crust either naturally or in response to engineered fluid injections. The quantitative prediction of their evolution is critical in order to better understand their dynamics as well as to…

Computational Engineering, Finance, and Science · Computer Science 2020-05-28 Haseeb Zia , Brice Lecampion

Mathematical models and computer algorithms are developed to calculate dynamic stress concentration and fracture wave propagation in a reinforced composite sheet. The composite consists of a regular system alternating extensible fibers and…

Computational Physics · Physics 2012-03-09 M. Ayzenberg-Stepanenko , Z. Yanovitsky , G. Osharovich

For the fatigue life of thin-walled components, not only fatigue crack initiation, but also crack growth is decisive. The phase-field method for fracture is a powerful tool to simulate arbitrary crack phenomena. Recently, it has been…

Materials Science · Physics 2021-04-07 Martha Seiler , Sören Keller , Nikolai Kashaev , Benjamin Klusemann , Markus Kästner

The problem of a plane strain hydraulic fracture propagating in a layered formation is considered. Fracture toughness, in-situ stress, and leak-off coefficient are assumed to vary by layer, while the elastic properties are kept constant…

Geophysics · Physics 2024-07-24 E. V. Dontsov
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