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Related papers: Numerical simulation of hydraulic fracturing: a hy…

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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

We obtain an analytical solution for the pressure-transient behavior of a vertically hydraulic fractured well in a heterogeneous reservoir. The heterogeneity of the reservoir is modeled by using the concept of fractal geometry. Such…

Fluid Dynamics · Physics 2015-03-17 Kambiz Razminia , Abolhassan Razminia , Delfim F. M. Torres

We present a model of the hydraulic fracturing of heterogeneous poroelastic media. The formalism is an effective continuum model that captures the coupled dynamics of the fluid pressure and the fractured rock matrix and models both the…

Materials Science · Physics 2015-06-05 Kjetil M. D. Hals , Inga Berre

Solving large systems of equations is a challenge for modeling natural phenomena, such as simulating subsurface flow. To avoid systems that are intractable on current computers, it is often necessary to neglect information at small scales,…

This paper proposes a novel technique to reduce the computational burden associated with the simulation of localised failure. The proposed methodology affords the simulation of damage initiation and propagation whilst concentrating the…

Numerical Analysis · Mathematics 2011-09-27 Pierre Kerfriden , Jean-Charles Passieux , Stephane Pierre-Alain Bordas

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

Numerical homogenization for mechanical multiscale modeling by means of the finite element method (FEM) is an elegant way of obtaining structure-property relations, if the behavior of the constituents of the lower scale is well understood.…

Numerical Analysis · Mathematics 2025-08-07 Nils Lange , Geralf Hütter , Bjoern Kiefer

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary construction partially submerged in the fluid. The application we are…

Notched components are commonly used in engineering structures, where stress concentration may easily lead to crack initiation and development. The main goal of this work is to develop a simple numerical method to predict the structural…

Numerical Analysis · Mathematics 2021-12-14 Kailei Wang , Baoying Shen , Mingjing Li , Leiting Dong , Satya N. Atluri

We evaluate a number of different finite element approaches for fluid-structure (contact) interaction problems against data from physical experiments. For this we take the data from experiments by Hagemeier [Mendeley Data, doi:…

Fluid Dynamics · Physics 2021-03-03 Henry von Wahl , Thomas Richter , Stefan Frei , Thomas Hagemeier

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and…

Materials Science · Physics 2017-11-02 Emilio Martínez-Pañeda , Rafael Gallego

In this work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is…

Analysis of PDEs · Mathematics 2024-05-29 Pushpi Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

Hydraulic systems are widely utilized in industrial applications due to their high force generation, precise control, and ability to function in harsh environments. Hydraulic cylinders, as actuators in these systems, apply force and…

Machine Learning · Computer Science 2026-02-06 Mohamad Amin Jamshidi , Mehrbod Zarifi , Zolfa Anvari , Hamed Ghafarirad , Mohammad Zareinejad

The Finite Element Method (FEM) is the gold standard for spatial discretization in numerical simulations for a wide spectrum of real-world engineering problems. Prototypical areas of interest include linear heat transfer and linear…

Numerical Analysis · Mathematics 2022-01-10 Marcelo Forets , Daniel Freire Caporale , Jorge M. Pérez Zerpa

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

Numerical Analysis · Mathematics 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

We propose numerical simulations of viscoelastic fluids based on a hybrid algorithm combining Lattice-Boltzmann models (LBM) and Finite Differences (FD) schemes, the former used to model the macroscopic hydrodynamic equations, and the…

Computational Physics · Physics 2016-07-26 A. Gupta , M. Sbragaglia , A. Scagliarini

Understanding fracture in cementitious materials caused by the deposition and growth of corrosion products requires scale-bridging approaches due to the large length-scale difference between the micro-pores, where deposition occurs, and the…

Soft Condensed Matter · Physics 2023-08-21 Mohit Pundir , David S. Kammer , Ueli Angst

Lattice models are popular methods for simulating deformation of solids by discretizing continuum structures into spring networks. Despite the simplicity and efficiency, most lattice models only rigorously converge to continuum models for…

Soft Condensed Matter · Physics 2018-09-10 Teng Zhang

We consider the deformation of a geological structure with non-intersecting faults that can be represented by a layered system of viscoelastic bodies satisfying rate- and state-depending friction conditions along the common interfaces. We…

Numerical Analysis · Mathematics 2022-01-17 Carsten Gräser , Ralf Kornhuber , Joscha Podlesny