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Author: Jose ́Gildardo Osorio
Publisher:
ISBN:
Category : Analytical geochemistry
Languages : en
Pages : 346
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Book Description
Author: Jose ́Gildardo Osorio
Publisher:
ISBN:
Category : Analytical geochemistry
Languages : en
Pages : 346
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Book Description
Author: Mario César Suárez Arriaga
Publisher: CRC Press
ISBN: 0203886224
Category : Technology & Engineering
Languages : en
Pages : 496
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Book Description
Mathematics is a universal language. Differential equations, mathematical modeling, numerical methods and computation form the underlying infrastructure of engineering and the sciences. In this context mathematical modeling is a very powerful tool for studying engineering problems, natural systems and human society. This interdisciplinary book cont
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 14
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Book Description
The couplings among chemical reaction rates, advective and diffusive transport in fractured media or soils, and changes in hydraulic properties due to precipitation and dissolution within fractures and in rock matrix are important for both nuclear waste disposal and remediation of contaminated sites. This paper describes the development and application of LEHGC2.0, a mechanistically-based numerical model for simulation of coupled fluid flow and reactive chemical transport including both fast and slow reactions invariably saturated media. Theoretical bases and numerical implementations are summarized, and two example problems are demonstrated. The first example deals with the effect of precipitation-dissolution on fluid flow and matrix diffusion in a two-dimensional fractured media. Because of the precipitation and decreased diffusion of solute from the fracture into the matrix, retardation in the fractured medium is not as large as the case wherein interactions between chemical reactions and transport are not considered. The second example focuses on a complicated but realistic advective-dispersive-reactive transport problem. This example exemplifies the need for innovative numerical algorithms to solve problems involving stiff geochemical reactions.
Author: Marek Stastna
Publisher: Elsevier
ISBN: 0323914616
Category : Science
Languages : en
Pages : 282
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Book Description
Physics and Ecology in Fluids: Modeling and Numerical Experiments develops mathematical and numerical modeling methodologies for coupled biological-hydrodynamic problems with a focus on process studies. The modeling is presented in a way that discusses mathematical background but does not depend on a large body of mathematical pre-requisites or experience. Models are built up from simple, to complex. This includes discussion of approximations and shortcuts commonly made by large computational models for natural bodies of water. Computational approaches are presented using conceptual explanations and pseudo-code along with well-documented, open-source code. Over a dozen codes that run locally on the reader's laptop provide hands on experience with various aspects of the modeling process and its scientific results. One large-scale code for basin scale modeling based on the Discontinuous Galerkin methodology is presented, along with a self-contained discussion of theoretical background and implementation details. Physics and Ecology in Fluids is written for graduate students, academic researchers and government scientists. Professors can use the book as a stand-alone resource for a one term graduate course, or to supplement teaching of their own graduate courses. All readers may also use the book as background/user's guide for the software included with the book. - Presents accessible codes along with clear explanations of the mathematical modeling process that leads up to the code - Provides a consistent development of the mathematical models for hydrodynamic and biological modeling, which are rarely covered together - Includes an informal, discussion-style tone throughout, but with serious applied mathematics content, allowing a level of detail relevant for multiple reader types
Author: Christine Detournay
Publisher: CRC Press
ISBN: 1000150968
Category : Technology & Engineering
Languages : en
Pages : 1050
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Book Description
Sixty-five papers cover a wide range of topics from engineering applications to theoretical developments in the areas of embankment and slope stability, underground cavity design and mining; dynamic analysis, soil and structure interaction, and coupled processes and fluid flow.
Author: Matthias Ehrhardt
Publisher: Bentham Science Publishers
ISBN: 1608052540
Category : Science
Languages : en
Pages : 140
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Book Description
Progress in Computational Physics is a new e-book series devoted to recent research trends in computational physics. It contains chapters contributed by outstanding experts of modeling of physical problems. The series focuses on interdisciplinary computational perspectives of current physical challenges, new numerical techniques for the solution of mathematical wave equations and describes certain real-world applications. With the help of powerful computers and sophisticated methods of numerical mathematics it is possible to simulate many ultramodern devices, e.g. photonic crystals structures, semiconductor nanostructures or fuel cell stacks devices, thus preventing expensive and longstanding design and optimization in the laboratories. In this book series, research manuscripts are shortened as single chapters and focus on one hot topic per volume. Engineers, physicists, meteorologists, etc. and applied mathematicians can benefit from the series content. Readers will get a deep and active insight into state-of-the art modeling and simulation techniques of ultra-modern devices and problems. The second volume of this series, titled Coupled Fluid Flow in Energy, Biology and Environmental Research covers the following scientific topics in the fields of modeling, numerical methods and applications: • Coupling between free and porous media flow • Coupling of flow and transport models • Coupling of atmospheric and ground water models This second volume contains both, the mathematical analysis of the coupling between fluid flow and porous media flow and state-of-the art numerical techniques, like tailor-made finite element and finite volume methods. Finally, readers will come across articles devoted to concrete applications of these models in the field of energy, biology and environmental research.
Author: Michael Griebel
Publisher: SIAM
ISBN: 9780898719703
Category : Science
Languages : en
Pages : 217
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Book Description
In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as expository example, the individual steps of scientific computing are presented.
Author: Tarek Ahmed
Publisher: Elsevier
ISBN: 0080498833
Category : Technology & Engineering
Languages : en
Pages : 421
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Book Description
Advanced Reservoir Engineering offers the practicing engineer and engineering student a full description, with worked examples, of all of the kinds of reservoir engineering topics that the engineer will use in day-to-day activities. In an industry where there is often a lack of information, this timely volume gives a comprehensive account of the physics of reservoir engineering, a thorough knowledge of which is essential in the petroleum industry for the efficient recovery of hydrocarbons.Chapter one deals exclusively with the theory and practice of transient flow analysis and offers a brief but thorough hands-on guide to gas and oil well testing. Chapter two documents water influx models and their practical applications in conducting comprehensive field studies, widely used throughout the industry. Later chapters include unconventional gas reservoirs and the classical adaptations of the material balance equation.* An essential tool for the petroleum and reservoir engineer, offering information not available anywhere else* Introduces the reader to cutting-edge new developments in Type-Curve Analysis, unconventional gas reservoirs, and gas hydrates * Written by two of the industry's best-known and respected reservoir engineers
Author: Sergio R. Idelsohn
Publisher: Springer
ISBN: 3319061364
Category : Technology & Engineering
Languages : en
Pages : 417
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Book Description
This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering. It takes a step forward in the formulation and solution of real-life problems with a multidisciplinary vision, accounting for all of the complex couplings involved in the physical description. Simulation of multifaceted physics problems is a common task in applied research and industry. Often a suitable solver is built by connecting together several single-aspect solvers into a network. In this book, research in various fields was selected for consideration: adaptive methodology for multi-physics solvers, multi-physics phenomena and coupled-field solutions, leading to computationally intensive structural analysis. The strategies which are used to keep these problems computationally affordable are of special interest, and make this an essential book.
Author: Timothy Myung Joon Yeo
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Many applications of the numerical modeling of coupled flow and deformation for subsurface reservoirs are based on the assumption of small deformation. This approximation makes two assumptions: the displacement gradients in the reference configuration are infinitesimal, and the displacement itself is very small compared to the characteristic length of the problem of interest. The small deformation approximation is usually valid in subsurface reservoirs because a typical reservoir rock is stiff and, therefore, exhibits small deformation. However, this assumption may not be valid in some subsurface reservoirs that experience substantial compaction or shear. Some examples demonstrate the substantial subsidence due to a large amount of hydrocarbon production, underground water removal, and softening of the rock due to thermal injections. Accounting for large deformations can be particularly important in fractured or faulted reservoirs. There, fractures can have a significant impact on the fluid flow by acting as flow conduits or flow barriers. Considering that fractures and faults typically have a very small aperture, even small deformation or small tangential slip of the fracture could significantly impact the flow by changing flow directions or fracture permeability. Therefore, a new numerical framework for coupled fluid flow, large deformation, and large slip for fractured and faulted reservoirs is developed by employing the mixed standard Galerkin finite element and two-point flux approximation finite volume methods. The developed framework models the fracture as a large deformation frictional contact using the Node-To-Segment (NTS) contact element with the penalty formulation. The algorithms to dynamically update flow connections around the fracture and their transmissibility are presented for non-matching grids along the fracture due to the tangential slip. The coupled equations are solved in a fully coupled way using the Newton-Raphson method with the active set strategy. In order to model the realistic behavior of the fracture, fracture permeability is updated depending on the fracture states, stress, and deformation. The linear slip-weakening model and gravity are also incorporated in the model. The developed framework is verified with several benchmark problems having analytical solutions, including the single fracture slip problem, the Mandel problem, and the strip footing problem. Afterward, the relative errors of the coupled flow and small deformation model are computed for various model problems with various material properties in order to investigate the applicability of the coupled small deformation model. Finally, the developed framework was applied to model fluid injection into the faulted overburden-reservoir-underburden system in order to model the reactivation of the fault. Even though the stiffness of the system is high and deformation is indeed small, the coupled large deformation model indicates a faster increase in the fault slip area compared to the small deformation model. A separate section of the dissertation presents a framework to solve the small deformation frictional contact problem using the method of augmented Lagrangian with the polynomial pressure projection (PPP) stabilization. This method successfully suppresses spurious oscillations on the normal contact traction and demonstrates the capability to precisely apply the constraints on the contact without introducing additional global degrees of freedom.
