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Computational Methods For Fracture In Porous Media

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Computational Methods for Fracture in Porous Media

Computational Methods for Fracture in Porous Media Book
Author : René de Borst
Publisher : Elsevier
Release : 2017-10-30
ISBN : 0081009232
Language : En, Es, Fr & De

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Book Description :

Computational Methods for Fracture in Porous Media: Isogeometric and Extended Finite Element Methods provides a self-contained presentation of new modeling techniques for simulating crack propagation in fluid-saturated porous materials. This book reviews the basic equations that govern fluid-saturated porous media. A multi-scale approach to modeling fluid transport in joins, cracks, and faults is described in such a way that the resulting formulation allows for a sub-grid representation of the crack and fluid flow in the crack. Interface elements are also analyzed with their extension to the hydromechanical case. The flexibility of Extended Finite Element Method for non-stationary cracks is also explored and their formulation for fracture in porous media described. This book introduces Isogeometric finite element methods and its basic features and properties. The rapidly evolving phase-field approach to fracture is also discussed. The applications of this book’s content cover various fields of engineering, making it a valuable resource for researchers in soil, rock and biomechanics. Teaches both new and upcoming computational techniques for simulating fracture in (partially) fluid-saturated porous media Helps readers learn how to couple modern computational methods with non-linear fracture mechanics and flow in porous media Presents tactics on how to simulate fracture propagation in hydraulic fracturing

Computational Methods for Multiphase Flows in Porous Media

Computational Methods for Multiphase Flows in Porous Media Book
Author : Zhangxin Chen,Guanren Huan,Yuanle Ma
Publisher : SIAM
Release : 2006-04-01
ISBN : 0898716063
Language : En, Es, Fr & De

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Book Description :

This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

Numerical Methods for Processes in Fractured Porous Media

Numerical Methods for Processes in Fractured Porous Media Book
Author : Alessio Fumagalli,Inga Berre,Luca Formaggia,Eirik Keilegavlen,Anna Scotti
Publisher : Birkhäuser
Release : 2019-08-21
ISBN : 9783030269401
Language : En, Es, Fr & De

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Book Description :

This volume collects state-of-the-art contributions on the numerical simulation of fractured porous media, focusing on flow and geomechanics. First appearing in issues of the International Journal on Geomathematics, these articles are now conveniently packaged in one volume. Of particular interest to readers will be the potential applications of modern numerical methods to the problem of processes in fractured porous media. This book is ideal for computational scientists and numerical analysts interested in recent developments of numerical discretization techniques for underground flow and geomechanics. Engineers and geologists studying modern simulation techniques will also find this a valuable resource.

Computational Methods in Subsurface Flow

Computational Methods in Subsurface Flow Book
Author : Peter S. Huyakorn
Publisher : Academic Press
Release : 2012-12-02
ISBN : 0323137970
Language : En, Es, Fr & De

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Book Description :

Computational Methods in Subsurface Flow explores the application of all of the commonly encountered computational methods to subsurface problems. Among the problems considered in this book are groundwater flow and contaminant transport; moisture movement in variably saturated soils; land subsidence and similar flow and deformation processes in soil and rock mechanics; and oil and geothermal reservoir engineering. This book is organized into 10 chapters and begins with an introduction to partial differential and various solution approaches used in subsurface flow. The discussion then shifts to the fundamental theory of the finite element method, with emphasis on the Galerkin finite element method and how it can be used to solve a wide range of subsurface problems. The subjects treated range from simple problems of saturated groundwater flow to more complex ones of moisture movement and multiphase flow in petroleum reservoirs. The chapters that follow focus on fluid flow and mechanical deformation of conventional and fractured porous media; point and subdomain collocation techniques and the boundary element technique; and the applications of finite difference techniques to single- and multiphase flow and solute transport. The final chapter is devoted to other alternative numerical methods that are based on combinations of the standard finite difference approach and classical mathematics. This book is intended for senior undergraduate and graduate students in geoscience and engineering, as well as for professional groundwater hydrologists, engineers, and research scientists who want to solve or model subsurface problems using numerical techniques.

Computational Methods for Fracture

Computational Methods for Fracture Book
Author : Timon Rabczuk
Publisher : MDPI
Release : 2019-10-28
ISBN : 3039216864
Language : En, Es, Fr & De

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Book Description :

This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

Computational Methods in Multiphase Flow VI

Computational Methods in Multiphase Flow VI Book
Author : Andrea Alberto Mammoli,C. A. Brebbia
Publisher : WIT Press
Release : 2011-01-01
ISBN : 1845645189
Language : En, Es, Fr & De

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Book Description :

Multiphase flows, which can involve compressible or incompressible linear or nonlinear, fluids, Are found in all areas of technology, at all length scales and flow regimes. In spite of their ubiquitousness, however multiphase flow continues to be one of the most challenging areas of computational mechanics and experimental methods, with numerous problems remaining unsolved to date. Because the multiphase flow problems are so complex, advanced computational and experimental methods are often required to solve the equations that describe them. The many hhallenges include modelling nonlinear fluids, modelling and tracking interfaces, dealing with multiple length scales, characterizing phase structures, and treating drop breakup and coalescence. Models must be validated, which requires the use of expensive and difficult experimental techniquess. This book presents contributions on the latest research in these techniques, presented at the sixth in a biennial series of conferences on the subject that begain in 2001. Featured topics include: Bubble and drop dynamics, Flow in porous media, Turbulent flow, Multiphase flow simulation, Image processing, Heat transfer, Interaction of gases, liquids and solids, Interface behaviour, Small scale phenomena, Atomization processes, and Liquid film behaviour.

Extended Finite Element Method

Extended Finite Element Method Book
Author : Amir R. Khoei
Publisher : John Wiley & Sons
Release : 2015-02-23
ISBN : 1118457684
Language : En, Es, Fr & De

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Book Description :

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications begins by introducing the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. It then covers the theory and application of XFEM in large deformations, plasticity and contact problems. The implementation of XFEM in fracture mechanics, including the linear, cohesive, and ductile crack propagation is also covered. The theory and applications of the XFEM in multiphase fluid flow, including the hydraulic fracturing in soil saturated media and crack propagation in thermo-hydro-mechanical porous media, is also discussed in detail. Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples

Numerical Treatment of Multiphase Flows in Porous Media

Numerical Treatment of Multiphase Flows in Porous Media Book
Author : Zhangxin Chen,Richard E. Ewing,Zhong-Ci Shi
Publisher : Springer
Release : 2008-01-11
ISBN : 3540454675
Language : En, Es, Fr & De

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Book Description :

The need to predict, understand, and optimize complex physical and c- mical processes occurring in and around the earth, such as groundwater c- tamination, oil reservoir production, discovering new oil reserves, and ocean hydrodynamics, has been increasingly recognized. Despite their seemingly disparate natures, these geoscience problems have many common mathe- tical and computational characteristics. The techniques used to describe and study them are applicable across a broad range of areas. The study of the above problems through physical experiments, mat- matical theory, and computational techniques requires interdisciplinary col- boration between engineers, mathematicians, computational scientists, and other researchers working in industry, government laboratories, and univ- sities. By bringing together such researchers, meaningful progress can be made in predicting, understanding, and optimizing physical and chemical processes. The International Workshop on Fluid Flow and Transport in Porous - dia was successfully held in Beijing, China, August 2{6, 1999. The aim of this workshop was to bring together applied mathematicians, computational scientists, and engineers working actively in the mathematical and nume- cal treatment of ?uid ?ow and transport in porous media. A broad range of researchers presented papers and discussed both problems and current, state-of-the-art techniques.

Flow and Transport in Porous Media and Fractured Rock

Flow and Transport in Porous Media and Fractured Rock Book
Author : Muhammad Sahimi
Publisher : John Wiley & Sons
Release : 2011-05-09
ISBN : 9783527636709
Language : En, Es, Fr & De

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Book Description :

In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.

Fluid Flow and Transport in Porous Media Mathematical and Numerical Treatment

Fluid Flow and Transport in Porous Media  Mathematical and Numerical Treatment Book
Author : Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
Publisher : American Mathematical Soc.
Release : 2002
ISBN : 082182807X
Language : En, Es, Fr & De

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Book Description :

This volume contains research papers written and edited by prominent researchers working with the mathematical and numerical treatment of fluid flow and transport in porous media. The papers are based on talks given at a 2001 Joint AMS-IMS-SIAM Summer Research Conference held at Mount Holyoke College (South Hadley, MA). The topics cover a variety of subjects such as network flow modeling, contemporary numerical methods, parallel computation, optimization, multiscale phenomena, upscaling, uncertainty reduction, well treatment, and media characterization. The material addresses many problems originating from the applied geosciences and focuses on their common state-of-the-art mathematical and numerical treatment. This work is particularly pertinent to those working in oil exploration and other industrial applications. The book serves as an excellent reference work for all geoscientists, mathematicians, physicists, and engineers working in this research area.

Flows in Porous Media and Fractured Rock

Flows in Porous Media and Fractured Rock Book
Author : Muhammad Sahimi
Publisher : Wiley-VCH
Release : 1995-02-22
ISBN :
Language : En, Es, Fr & De

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Book Description :

Provides a comprehensive discussion of porous media problems, experimental methods for characterizing porous structures, classical approaches and modern methods and a comparison of both, and fractured rock and porous media.

Computational Methods in Geosciences

Computational Methods in Geosciences Book
Author : William Edward Fitzgibbon,Mary Fanett Wheeler,Society for Industrial and Applied Mathematics
Publisher : SIAM
Release : 1992-01-01
ISBN : 9780898713015
Language : En, Es, Fr & De

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Book Description :

Discusses a dozen topics related to mathematical and computational issues in geophysical fluid and solid mechanics, including local grid refinement for reservoir simulation, a method of factoring long z-transform polynomials, and the finite element modelling of surface flow problems. See entry QC155

Computational Modelling of Concrete Structures

Computational Modelling of Concrete Structures Book
Author : Nenad Bicanic,René Borst,Herbert Mang,Gunther Meschke
Publisher : CRC Press
Release : 2010-02-24
ISBN : 1439859574
Language : En, Es, Fr & De

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Book Description :

Since 1984 the EURO-C conference series (Split 1984, Zell am See 1990, Innsbruck 1994, Badgastein 1998, St Johann im Pongau 2003, Mayrhofen 2006, Schladming 2010) has provided a forum for academic discussion of the latest theoretical, algorithmic and modelling developments associated with computational simulations of concrete and concrete structure

Selected Topics of Computational and Experimental Fluid Mechanics

Selected Topics of Computational and Experimental Fluid Mechanics Book
Author : Jaime Klapp,Gerardo Ruíz Chavarría,Abraham Medina Ovando,Abel López Villa,Leonardo Di G. Sigalotti
Publisher : Springer
Release : 2015-03-05
ISBN : 3319114875
Language : En, Es, Fr & De

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Book Description :

This book contains invited lectures and selected contributions presented at the Enzo Levi and XIX Annual Meeting of the Fluid Dynamic Division of the Mexican Physical Society in 2013. It is aimed at fourth year undergraduate and graduate students, and scientists in the fields of physics, engineering and chemistry who are interested in fluid dynamics from an experimental and theoretical point of view. The invited lectures are introductory and avoid the use of complicated mathematics. The fluid dynamics applications include multiphase flow, convection, diffusion, heat transfer, rheology, granular material, viscous flow, porous media flow, geophysics and astrophysics. The material contained in the book includes recent advances in experimental and theoretical fluid dynamics and is suitable for both teaching and research.

Computational Methods in Environmental Fluid Mechanics

Computational Methods in Environmental Fluid Mechanics Book
Author : Olaf Kolditz
Publisher : Springer Science & Business Media
Release : 2002-01-01
ISBN : 9783540428954
Language : En, Es, Fr & De

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Book Description :

Fluids play an important role in environmental systems appearing as surface water in rivers, lakes, and coastal regions or in the subsurface as well as in the atmosphere. Mechanics of environmental fluids is concerned with fluid motion, associated mass and heat transport as well as deformation processes in subsurface systems. In this reference work the fundamental modelling approaches based on continuum mechanics for fluids in the environment are described, including porous media and turbulence. Numerical methods for solving the process governing equations as well as its object-oriented computer implementation are discussed and illustrated with examples. Finally, the application of computer models in civil and environmental engineering is demonstrated.

Elasto Plasticity of Frame Structure Elements

Elasto Plasticity of Frame Structure Elements Book
Author : Andreas Öchsner
Publisher : Springer
Release : 2014-08-13
ISBN : 3662442256
Language : En, Es, Fr & De

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Book Description :

The finite element method is a powerful tool even for non-linear materials’ modeling. But commercial solutions are limited and many novel materials do not follow standard constitutive equations on a macroscopic scale. Thus, is it required that new constitutive equations are implemented into the finite element code. However, it is not sufficient to simply implement only the equations but also an appropriate integration algorithm for the constitutive equation must be provided. This book is restricted to one-dimensional plasticity in order to reduce and facilitate the mathematical formalism and theory and to concentrate on the basic ideas of elasto-plastic finite element procedures. A comprehensive set of completely solved problems is designed for the thorough understand of the presented theory. After working with this new book and reviewing the provided solved and supplementary problems, it should be much easier to study and understand the advanced theory and the respective text books.

Geoenergy Modeling I

Geoenergy Modeling I Book
Author : Norbert Böttcher,Norihiro Watanabe,Uwe-Jens Görke,Olaf Kolditz
Publisher : Springer
Release : 2016-06-27
ISBN : 3319313355
Language : En, Es, Fr & De

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Book Description :

This introduction to geothermal modeling deals with flow and heat transport processes in porous and fractured media related to geothermal energy applications. Following background coverage of geothermal resources and utilization in several countries, the basics of continuum mechanics for heat transport processes, as well as numerical methods for solving underlying governing equations are discussed. This examination forms the theoretical basis for five included step-by-step OpenGeoSys exercises, highlighting the most important computational areas within geothermal resource utilization, including heat diffusion, heat advection in porous and fractured media, and heat convection. The book concludes with an outlook on practical follow-up contributions investigating the numerical simulation of shallow and deep geothermal systems.

Dynamic and Transient Infinite Elements

Dynamic and Transient Infinite Elements Book
Author : Chongbin Zhao
Publisher : Springer Science & Business Media
Release : 2009-06-23
ISBN : 9783642008467
Language : En, Es, Fr & De

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Book Description :

This book presents state-of-the-art theory and the application of dynamic and transient infinite elements for simulating the far fields of infinite domains involved in many of scientific and engineering problems.

Experimental and Computational Fluid Mechanics

Experimental and Computational Fluid Mechanics Book
Author : Jaime Klapp,Abraham Medina
Publisher : Springer Science & Business Media
Release : 2013-12-23
ISBN : 3319001167
Language : En, Es, Fr & De

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Book Description :

This book collects invited lectures and selected contributions presented at the Enzo Levi and XVIII Annual Meeting of the Fluid Dynamic Division of the Mexican Physical Society in 2012. It is intended for fourth-year undergraduate and graduate students, and for scientists in the fields of physics, engineering and chemistry with an interest in Fluid Dynamics from experimental, theoretical and computational points of view. The invited lectures are introductory in nature and avoid the use of complicated mathematics. The other selected contributions are also suitable for fourth-year undergraduate and graduate students. The Fluid Dynamics applications include oceanography, multiphase flows, convection, diffusion, heat transfer, rheology, granular materials, viscous flows, porous media flows and astrophysics. The material presented in the book includes recent advances in experimental and computational fluid dynamics and is well-suited to both teaching and research.