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Algorithms For Coupled Mechanical Deformations And Fluid Flow In A Porous Medium With Different Time Scales
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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:
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).
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.
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.
Book Synopsis Robust Numerical Algorithms Based on Corrected Operator Splitting for Two-phase Flow in Porous Media by : Yufei Cao
Download or read book Robust Numerical Algorithms Based on Corrected Operator Splitting for Two-phase Flow in Porous Media written by Yufei Cao and published by . This book was released on 2010 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Solvers for Incompressible Flow Problems by : Stefan Turek
Download or read book Efficient Solvers for Incompressible Flow Problems written by Stefan Turek and published by Springer Science & Business Media. This book was released on 1999 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent numerical and algorithmic tools for the solution of certain flow problems arising in Computational Fluid Dynamics (CFD), which are governed by the incompressible Navier-Stokes equations. It contains several of the latest results for the numerical solution of (complex) flow problems on modern computer platforms. Particular emphasis is put on the solution process of the resulting high dimensional discrete systems of equations which is often neglected in other works. Together with the included CD ROM which contains the complete FEATFLOW 1.1 software and parts of the "Virtual Album of Fluid Motion," which is a "Movie Gallery" with lots of MPED videos, the interested reader is enabled to perform his own numerical simulations or he may find numerous suggestions for improving his own computational simulations.
Book Synopsis Algorithmic Trends in Computational Fluid Dynamics by : M.Y. Hussaini
Download or read book Algorithmic Trends in Computational Fluid Dynamics written by M.Y. Hussaini and published by Springer. This book was released on 1993-04-16 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Modeling of Porous Medium Flow and Stokes Flow Coupled Problems by : Pedro Postigo Laguna
Download or read book Numerical Modeling of Porous Medium Flow and Stokes Flow Coupled Problems written by Pedro Postigo Laguna and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: [ANGLÈS] Porous medium flow and Stokes flow coupled problems are recurrent in civil engineering applications. Such is the case of the study of the groundwater flow, or the erosion of a material and the consequences that it can have on a structure. To solve these problems, the standard procedure is to model them using the Finite Element Method, which is implemented in the majority of computer software used in civil engineering. In this kind of applications, it is also usual the need to consider the transient effects, which can make the interface move and change with time, increasing the complexity of the problem. When it is the case, the classical Finite Element Method approach can present several disadvantages: an increase in the number of elements needed to model correctly the interface, and the need to redo the mesh when the interface moves. These disadvantages are translated into higher computation costs and larger computation time required to compute the solution. In this work, a levelset function based strategy is proposed, that avoids this kind of problems, computing the solution faster and using less computer resources.
Book Synopsis Mathematical Modeling of Coupled Free Flow and Porous Medium Systems by : Iryna Rybak
Download or read book Mathematical Modeling of Coupled Free Flow and Porous Medium Systems written by Iryna Rybak and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Different classes of physical systems with common interfaces arise in a variety of environmental and industrial problems. Striking examples originate from terrestrial-atmospheric contact zones, surface water-groundwater interaction, filters and fuel cells, where a free fluid system is in contact with a porous medium. Flow and transport processes in these systems evolve on multiple length and time scales, contributing to the complexity of these systems both from the modeling and the numerical side. An additional contributing factor to this complexity is the existence of multiple classes of entities, which include phases, interfaces between phases, and common curves that form at the boundary between three phases. Classical coupling approaches and traditional porous medium model formulations lead to reliable results in limited cases, however, applications require more realistic settings. The focus of the thesis is on derivation of mathematical models for multiphase multi-component porous medium systems that take into account lower dimensional entities, formulation of coupling conditions at the sharp interface and the transition region between porous medium and free flow systems, computation of effective parameters for the macroscale models, development and analysis of efficient numerical algorithms for coupled problems, and numerical simulation of applications. Bei vielen Problemen der Natur- und Ingenieurwissenschaften trifft man auf Übergänge zwischen verschiedenen physikalischen Systemen. Beispiele umfassen terrestrisch-atmosphärische Kontaktzonen, Wechselwirkungen zwischen Oberflächenwasser und Grundwasser, Filter und Brennstoffzellen, wobei ein freies Fluidsystem mit einem porösen Medium in Kontakt steht.
Book Synopsis A Fully Coupled Finite Volume Method for Fluid Flow at All Speeds by : Ihab Abdullah Sraj
Download or read book A Fully Coupled Finite Volume Method for Fluid Flow at All Speeds written by Ihab Abdullah Sraj and published by . This book was released on 2006 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we present a new fully coupled algorithm for fluid flow at all sp eeds. This algorithm has been developed and implemented within a finite volume m ethod in which the momentum equations and the continuity equation are solved tog ether for the velocity and pressure fields. The coupling is retained by treating the pressure appearing in the momentum equations implicitly and by using Rhie-C how interpolation to obtain the pressure field in the continuity equation. This is opposed to what is done using the segregated approach where each equation is solved separately and linked together by constant updating of the different fiel ds. Such practice is known to decelerate the convergence rate especially for ref ined meshes even with the use of multi-grid methods. While the proposed coupled algorithm has proved to be more efficient as the convergence is faster and thus the computational CPU time is reduced. It is has also proved that it is more sca lable as the reduction in time increases with the increase in the size of the me sh for all speeds problems and grid structures. Several test cases have been don e and revealed a great acceleration in computational CPU time that reached 50 ti mes for the mesh of 100, 000 elements for both cartesian orthogonal and non-orth ogonal grids. This is true for the case of low speed flows while for the case of high-speed flows the acceleration is lower.
Book Synopsis Formulation and Sequential Numerical Algorithms of Coupled Fluid/heat Flow and Geomechanics for Multiple Porosity Materials by :
Download or read book Formulation and Sequential Numerical Algorithms of Coupled Fluid/heat Flow and Geomechanics for Multiple Porosity Materials written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fully-coupled Solution of Pressure-linked Fluid Flow Equations by : S. P. Vanka
Download or read book Fully-coupled Solution of Pressure-linked Fluid Flow Equations written by S. P. Vanka and published by . This book was released on 1983 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Theory of Porous Media by : Reint de Boer
Download or read book Theory of Porous Media written by Reint de Boer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a consistent treatment of the material-independent fundamental equations of the theory of porous media, formulating constitutive equations for frictional materials in the elastic and plastic range, while tracing the historical development of the theory. Thus, for the first time, a unique treatment of fluid-saturated porous solids is presented, including an explanation of the corresponding theory by way of its historical progression, and a thorough description of its current state.
Book Synopsis A fully coupled model for saturated-unsaturated fluid flow in deformable porous and fractured media by : Jun-mo Kim
Download or read book A fully coupled model for saturated-unsaturated fluid flow in deformable porous and fractured media written by Jun-mo Kim and published by . This book was released on 1996 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Techniques for Fluid Dynamics by : Clive A. J. Fletcher
Download or read book Computational Techniques for Fluid Dynamics written by Clive A. J. Fletcher and published by . This book was released on 1991 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Peridynamic Theory and Its Applications by : Erdogan Madenci
Download or read book Peridynamic Theory and Its Applications written by Erdogan Madenci and published by Springer Science & Business Media. This book was released on 2013-10-21 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the peridynamic theory, which provides the capability for improved modeling of progressive failure in materials and structures, and paves the way for addressing multi-physics and multi-scale problems. The book provides students and researchers with a theoretical and practical knowledge of the peridynamic theory and the skills required to analyze engineering problems. The text may be used in courses such as Multi-physics and Multi-scale Analysis, Nonlocal Computational Mechanics, and Computational Damage Prediction. Sample algorithms for the solution of benchmark problems are available so that the reader can modify these algorithms, and develop their own solution algorithms for specific problems. Students and researchers will find this book an essential and invaluable reference on the topic.
Book Synopsis Mechanics of Porous Media by : Philippe Charlez
Download or read book Mechanics of Porous Media written by Philippe Charlez and published by CRC Press. This book was released on 1995-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the lecture notes of the 1994 Mechanics of Porous Media Summer School. Chapters cover theoretical basics, methods for measuring poroelastic coefficients, numerical implementation and applications.
