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The paper presents novel results, obtained on the basis of the modified theory of hydraulic fractures (HF). The theory underlines significance of the speed equation. When applied to numerical simulation of HF, the theory reveals three…

Computational Engineering, Finance, and Science · Computer Science 2019-05-17 A. M. Linkov

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…

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

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.…

Geophysics · Physics 2021-03-29 Patrick Schmidt , Holger Steeb , Jörg Renner

We consider a two dimensional lattice model to describe the opening of a crack in hydraulic fracturing. In particular we consider that the material only breaks under tension and the fluid has no pressure drop inside the crack. For the case…

Condensed Matter · Physics 2009-10-22 F. Tzschichholz , H. J. Herrmann

Hydraulic stimulation is a critical process for increasing the permeability of fractured geothermal reservoirs. This technique relies on coupled hydromechanical processes induced by reservoir stimulation through pressurized fluid injection…

Numerical Analysis · Mathematics 2023-05-02 Hau Trung Dang , Eirik Keilegavlen , Inga Berre

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

Computational Physics · Physics 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

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

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

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 a uniform stress field, a tensile hydraulic fracture will favor propagation in the plane formed by the maximum (most compressive) and intermediate principal stresses. For the propagation of hydraulic fractures in non-uniform stress…

These notes address the mechanics of propagating hydraulic fractures (HF). In the first part, we focus on how different physical mechanisms (dissipation in fluid and solid, fluid storage in fracture and its exchange with permeable rock,…

Geophysics · Physics 2022-09-27 Dmitry I. Garagash

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

We present a fully implicit formulation of coupled fluid flow and geomechanics for fluid injection/withdrawal in fractured reservoirs in the context of CO2storage. Utilizing a Galerkin finite-element approach, both flow and poroelasticity…

Understanding the behavior of fluid-driven hydraulic fracture in naturally fractured reservoirs is crucial in the development of geothermal energy and unconventional reservoirs. This study presents a fully-coupled numerical model to…

Geophysics · Physics 2019-10-04 HanYi Wang

The fracturing-flooding technology is a new process for the development of low-permeability oil reservoirs, achieving a series of successful applications in oilfield production. However, existing numerical simulation methods for pressure…

Optimization and Control · Mathematics 2026-05-28 Xiang Wang , Wenjie Yu , Yixin Xie , Yanfeng He , Hui Xu , Xianxiang Chu , Changfu Li

A three-dimensional SPH computational framework is presented for modeling fluid-structure interactions with structural deformation and failure. We combine weakly compressible SPH with a pseudo-spring-based SPH solver to capture the fluid…

Computational Engineering, Finance, and Science · Computer Science 2025-07-16 Vishabjeet Singh , Chong Peng , Md Rushdie Ibne Islam

This paper introduces a new discrete fracture model accounting for non-isothermal compositional multiphase Darcy flows and complex networks of fractures with intersecting, immersed and non immersed fractures. The so called…

Numerical Analysis · Mathematics 2017-07-13 Feng Xing , Roland Masson , Simon Lopez

In this paper we demonstrate the influence of the pore pressure to the development of a hydraulically-driven fracture in a poroelastic medium. We present a novel numerical model for propagation of a planar hydraulic fracture and prove its…

Fluid Dynamics · Physics 2016-08-30 Sergey V. Golovin , Alexey N. Baykin

We investigate the discretization of Darcy flow through fractured porous media on general meshes. We consider a hybrid dimensional model, invoking a complex network of planar fractures. The model accounts for matrix-fracture interactions…

Numerical Analysis · Mathematics 2015-09-08 K. Brenner , J. Hennicker , R. Masson , P. Samier