Algorithms for Coupled Mechanical Deformations and Fluid Flow in a Porous Medium with Different Time Scales

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ISBN 13 :
Total Pages : 31 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Algorithms for Coupled Mechanical Deformations and Fluid Flow in a Porous Medium with Different Time Scales by : F. Z. Daim

Download or read book Algorithms for Coupled Mechanical Deformations and Fluid Flow in a Porous Medium with Different Time Scales written by F. Z. Daim and published by . This book was released on 2006 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Efficient Algorithms for Flow Models Coupled with Geomechanics for Porous Media Applications

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ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.:/5 (982 download)

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Book Synopsis Efficient Algorithms for Flow Models Coupled with Geomechanics for Porous Media Applications by : Tameem Mohammad Almani

Download or read book Efficient Algorithms for Flow Models Coupled with Geomechanics for Porous Media Applications written by Tameem Mohammad Almani and published by . This book was released on 2016 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: The coupling between subsurface flow and reservoir geomechanics plays a critical role in obtaining accurate results for models involving reservoir deformation, surface subsidence, well stability, sand production, waste deposition, hydraulic fracturing, CO2 sequestration, and hydrocarbon recovery. From a pure computational point of view, such a coupling can be quite a challenging and complicated task. This stems from the fact that the constitutive equations governing geomechanical deformations are different in nature from those governing porous media flow. The geomechanical effects account for the influence of deformations in the porous media caused due to the pore pressure and can be very important especially in the case of stress-sensitive and fractured reservoirs. Considering that fractures are very much prevalent in the porous media and they have strong influence on the flow profiles, it is important to study coupled geomechanics and flow problems in fractured reservoirs. In this work, we pursue three main objectives: first, to rigorously design and analyze iterative and explicit coupling algorithms for coupling flow and geomechanics in both poro-elasitc and fractured poro-elastic reservoirs. The analysis of iterative coupling schemes relies on studying the equations satisfied by the difference of iterates and using a Banach contraction argument to derive geometric convergence (Banach fixed-point contraction) results. The analysis of explicit coupling schemes result in analogous stability estimates. In this work, conformal Galerkin is used for mechanics, and a mixed formulation, including the Multipoint Flux Mixed Finite Element method as a special case, is used for the flow model. For fractured poro-elastic media, our iteratively coupled schemes are adaptations, due to the presence of fractures, of the classical fixed stress-splitting scheme, in which fractures are treated as possibly non-planar interfaces. The second main objective in this work is to exploit the different time scales of the mechanics and flow problems. Due to its physical nature, the geomechanics problem can cope with a coarser time step compared to the flow problem. This makes the multirate coupling scheme, the one in which the flow problem takes several (finer) time steps within the same coarse mechanics time step, a natural candidate in this setting. Inspired by that, we rigorously formulate and analyze convergence properties of both multirate iterative and explicit coupling schemes in both poro-elastic and fractured poro-elastic reservoirs. In addition, our theoretically derived Banach contraction estimates are validated against numerical simulations. The third objective in this work is to optimize the solution strategy of the nonlinear flow model in coupled flow and mechanics schemes. The global inexact Newton method, combined with the line search backtracking algorithm along with heuristic forcing functions, can be efficiently employed to reduce the number of flow linear iterations, and hence, the overall CPU run time. We first validate these computational savings for challenging two-phase benchmark problems including the full SPE10 model. Motivated by the obtained results, we incorporate this strategy as a nonlinear solver framework to solve the nonlinear flow problem in multirate iteratively coupled schemes. This leads to a scheme that reduces both the number of flow and mechanics linear iterations efficiently. All our numerical implementations in this work are built on top of our in-house reservoir simulator (IPARS).

Geomechanics in Reservoir Simulation

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Publisher : Editions TECHNIP
ISBN 13 : 9782710808336
Total Pages : 208 pages
Book Rating : 4.8/5 (83 download)

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Book Synopsis Geomechanics in Reservoir Simulation by : Pascal Longuemare

Download or read book Geomechanics in Reservoir Simulation written by Pascal Longuemare and published by Editions TECHNIP. This book was released on 2002 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fully Implicit, Coupled Procedures in Computational Fluid Dynamics

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Publisher : Springer
ISBN 13 : 331929895X
Total Pages : 181 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Fully Implicit, Coupled Procedures in Computational Fluid Dynamics by : Zeka Mazhar

Download or read book Fully Implicit, Coupled Procedures in Computational Fluid Dynamics written by Zeka Mazhar and published by Springer. This book was released on 2016-02-08 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new generation of superfast algorithms for the treatment of the notoriously difficult velocity-pressure coupling problem in incompressible fluid flow solutions. It provides all the necessary details for the understanding and implementation of the procedures. The derivation and construction of the fully-implicit, block-coupled, incomplete decomposition mechanism are given in a systematic, but easy fashion. Worked-out solutions are included, with comparisons and discussions. A complete program code is included for faster implementation of the algorithm. A brief literature review of the development of the classical solution procedures is included as well.

Advances in Numerical Heat Transfer, Volume 2

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Publisher : Routledge
ISBN 13 : 1351468251
Total Pages : 245 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Advances in Numerical Heat Transfer, Volume 2 by : W. Minkowycz

Download or read book Advances in Numerical Heat Transfer, Volume 2 written by W. Minkowycz and published by Routledge. This book was released on 2018-12-13 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the advances in numerical heat transfer modeling by applying high-performance computing resources, striking a balance between generic fundamentals, specific fundamentals, generic applications, and specific applications.

Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling

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Publisher : Springer Nature
ISBN 13 : 981157197X
Total Pages : 204 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling by : Yongliang Wang

Download or read book Adaptive Analysis of Damage and Fracture in Rock with Multiphysical Fields Coupling written by Yongliang Wang and published by Springer Nature. This book was released on 2020-08-31 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly focuses on the adaptive analysis of damage and fracture in rock, taking into account multiphysical fields coupling (thermal, hydro, mechanical, and chemical fields). This type of coupling is a crucial aspect in practical engineering for e.g. coal mining, oil and gas exploration, and civil engineering. However, understanding the influencing mechanisms and preventing the disasters resulting from damage and fracture evolution in rocks require high-precision and reliable solutions. This book proposes adaptive numerical algorithms and simulation analysis methods that offer significant advantages in terms of accuracy and reliability. It helps readers understand these innovative methods quickly and easily. The content consists of: (1) a finite element algorithm for modeling the continuum damage evolution in rocks, (2) adaptive finite element analysis for continuum damage evolution and determining the wellbore stability of transversely isotropic rock, (3) an adaptive finite element algorithm for damage detection in non-uniform Euler–Bernoulli beams with multiple cracks, using natural frequencies, (4) adaptive finite element–discrete element analysis for determining multistage hydrofracturing in naturally fractured reservoirs, (5) adaptive finite element–discrete element analysis for multistage supercritical CO2 fracturing and microseismic modeling, and (6) an adaptive finite element–discrete element–finite volume algorithm for 3D multiscale propagation of hydraulic fracture networks, taking into account hydro-mechanical coupling. Given its scope, the book offers a valuable reference guide for researchers, postgraduates and undergraduates majoring in engineering mechanics, mining engineering, geotechnical engineering, and geological engineering.

Applied mechanics reviews

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ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discontinuous Deformation Analysis in Rock Mechanics Practice

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Publisher : CRC Press
ISBN 13 : 1317416937
Total Pages : 390 pages
Book Rating : 4.3/5 (174 download)

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Book Synopsis Discontinuous Deformation Analysis in Rock Mechanics Practice by : Yossef H. Hatzor

Download or read book Discontinuous Deformation Analysis in Rock Mechanics Practice written by Yossef H. Hatzor and published by CRC Press. This book was released on 2017-07-20 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical, discrete element, Discontinuous Deformation Analysis (DDA) method was developed by Dr. Gen-hua Shi while he was working at the University of California, Berkeley, under the supervision of Prof. Richard E. Goodman in the late 1980s. Two-dimensional DDA was published in 1993 and three-dimensional DDA in 2001. Since its publication DDA has been verified, validated and applied in numerous studies worldwide and is now considered a powerful and robust method to address both static and dynamic engineering problems in discontinuous rock masses. In this book Yossef H. Hatzor and Guowei Ma, co-chairs of the International Society for Rock Mechanics (ISRM) Commission on DDA, join Dr. Shi in authoring a monograph that presents the state of the art in DDA research. A comprehensive discussion of DDA development since its publication is provided in Chapter 1, followed by concise reviews of 2D and 3D DDA in chapters 2 and 3. Procedures to select geological and numerical input parameters for DDA are discussed in Chapter 4, and DDA validation and verification is presented in Chapter 5. Applications of DDA in underground and rock slope engineering projects are discussed in chapters 6 and 7. In Chapter 8 the novel contact theory recently developed by Dr. Shi is published in its complete form, for the first time. This book is published within the framework of the ISRM Book Series and is the contribution of the ISRM DDA Commission to the international rock mechanics community.

Research and Applications in Structural Engineering, Mechanics and Computation

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Publisher : CRC Press
ISBN 13 : 1315850788
Total Pages : 960 pages
Book Rating : 4.3/5 (158 download)

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Book Synopsis Research and Applications in Structural Engineering, Mechanics and Computation by : Alphose Zingoni

Download or read book Research and Applications in Structural Engineering, Mechanics and Computation written by Alphose Zingoni and published by CRC Press. This book was released on 2013-08-15 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research and Applications in Structural Engineering, Mechanics and Computation contains the Proceedings of the Fifth International Conference on Structural Engineering, Mechanics and Computation (SEMC 2013, Cape Town, South Africa, 2-4 September 2013). Over 420 papers are featured. Many topics are covered, but the contributions may be seen to fall

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.

Oil & Gas Science and Technology

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ISBN 13 :
Total Pages : 398 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Oil & Gas Science and Technology by :

Download or read book Oil & Gas Science and Technology written by and published by . This book was released on 2002 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scour and Erosion

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Publisher : CRC Press
ISBN 13 : 1138027324
Total Pages : 836 pages
Book Rating : 4.1/5 (38 download)

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Book Synopsis Scour and Erosion by : Liang Cheng

Download or read book Scour and Erosion written by Liang Cheng and published by CRC Press. This book was released on 2014-11-06 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 7th International Conference on Scour and Erosion (ICSE 2014) was organised by the School of Civil, Environmental and Mining Engineering and the Centre for Offshore Foundation Systems at the University of Western Australia under the guidance of the Technical Committee 213 for Scour and Erosion of the International Society of Soil Mechanics and Geotechnical Engineering (ISSMGE). This biennial conference draws together leading academics, scientists and engineers engaged in scour and erosion research to present and exchange their latest scientific findings. These proceedings, together with the six previous proceedings dating from 2002, present a rare collection of technical and scientific developments in scour and erosion research which have been established over the last 12 years. This book includes state-of-the-art papers in scour and erosion from ICSE 2014, covering the 6 themes of: internal erosion, sediment transport, advanced numerical modelling of scour and erosion, terrestrial scour and erosion, river/bridge scour and erosion, and marine scour and erosion. The proceedings include 5 keynote lectures from world leading researches cutting across the themes of scour and erosion, together with 87 peer-reviewed papers from 19 countries. This book is ideal for researchers and industry working at the forefront of scour and erosion, both with application to rivers and marine operations.

Numerical Modeling of the Mechanics of Nonlinear Porous Media Under Dynamic Loading

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ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (359 download)

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Book Synopsis Numerical Modeling of the Mechanics of Nonlinear Porous Media Under Dynamic Loading by : R. P. Swift

Download or read book Numerical Modeling of the Mechanics of Nonlinear Porous Media Under Dynamic Loading written by R. P. Swift and published by . This book was released on 1984 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fundamentals of Computational Geoscience

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Publisher : Springer Science & Business Media
ISBN 13 : 3540897429
Total Pages : 248 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Fundamentals of Computational Geoscience by : Chongbin Zhao

Download or read book Fundamentals of Computational Geoscience written by Chongbin Zhao and published by Springer Science & Business Media. This book was released on 2009-04-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide state-of-the-art numerical methods, procedures and algorithms in the field of computational geoscience, based on the authors’ own work during the last decade. Although some theoretical results are provided to verify numerical ones, the main focus of this monograph is on computational simulation aspects of the newly-developed computational geoscience discipline. The advanced numerical methods, procedures and algorithms presented are also applicable to a wide range of problems in both geological length-scales and engineering length-scales. In order to broaden the readership, common mathematical notations are used to describe the theoretical aspects of geoscience problems, making it either an invaluable textbook for postgraduate students or an indispensable reference book for computational geoscientists, mathematicians, engineers and geoscientists.

Mathematical Reviews

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ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods for Multiphase Flows in Porous Media

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Publisher : SIAM
ISBN 13 : 9780898718942
Total Pages : 556 pages
Book Rating : 4.7/5 (189 download)

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Book Synopsis Computational Methods for Multiphase Flows in Porous Media by : Zhangxin Chen

Download or read book Computational Methods for Multiphase Flows in Porous Media written by Zhangxin Chen and published by SIAM. This book was released on 2006-01-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Multiphase Flows in Porous Media offers a fundamental and practical introduction to the use of computational methods, particularly finite element methods, in the simulation of fluid flows in porous media. It is the first book to cover a wide variety of flows, including single-phase, two-phase, black oil, volatile, compositional, nonisothermal, and chemical compositional flows in both ordinary porous and fractured porous media. In addition, a range of computational methods are used, and benchmark problems of nine comparative solution projects organized by the Society of Petroleum Engineers are presented for the first time in book form. The book reviews multiphase flow equations and computational methods to introduce basic terminologies and notation. A thorough discussion of practical aspects of the subjects is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Audience: this book can be used as a textbook for graduate or advanced undergraduate students in geology, petroleum engineering, and applied mathematics; as a reference book for professionals in these fields, as well as scientists working in the area of petroleum reservoir simulation; as a handbook for employees in the oil industry who need a basic understanding of modeling and computational method concepts; and by researchers in hydrology, environmental remediation, and some areas of biological tissue modeling. Calculus, physics, and some acquaintance with partial differential equations and simple matrix algebra are necessary prerequisites.

Thermo-Hydro-Mechanical Coupling in Fractured Rock

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764302535
Total Pages : 364 pages
Book Rating : 4.3/5 (25 download)

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Book Synopsis Thermo-Hydro-Mechanical Coupling in Fractured Rock by : Hans-Joachim Kümpel

Download or read book Thermo-Hydro-Mechanical Coupling in Fractured Rock written by Hans-Joachim Kümpel and published by Springer Science & Business Media. This book was released on 2003-03-21 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The supply and protection of groundwater, the production of hydrocarbon reservoirs, land subsidence in coastal areas, exploitation of geothermal energy, the long-term disposal of critical wastes ... What do these issues have in common besides their high socio-economic impact? They are all closely related to fluid flow in porous and/or fractured rock. As the conditions of fluid flow in many cases depend on the mechanical behavior of rocks, coupling between the liquid phase and the rock matrix can generally not be neglected. For the past five years or so, studies of rock physics and rock mechanics linked to coupling phenomena have received increased attention. In recognition of this, a Euroconference on thermo-hydro-mechanical coupling in fractured rock was held at Bad Honnef, Germany, in November 2000. Most of the twenty papers collected in this volume were presented at this meeting. The contributions lead to deeper insight in processes where such coupling is relevant.