Mathematical And Numerical Modeling In Porous Media PDF Download
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Author | : Martin A. Diaz Viera |
Publisher | : CRC Press |
Total Pages | : 372 |
Release | : 2012-07-24 |
Genre | : Mathematics |
ISBN | : 041566537X |
Download Mathematical and Numerical Modeling in Porous Media Book in PDF, ePub and Kindle
Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.
Author | : Mohamed F. El-Amin |
Publisher | : Elsevier |
Total Pages | : 432 |
Release | : 2023-06-17 |
Genre | : Technology & Engineering |
ISBN | : 0323905129 |
Download Numerical Modeling of Nanoparticle Transport in Porous Media Book in PDF, ePub and Kindle
Numerical Modeling of Nanoparticle Transport in Porous Media: MATLAB/PYTHON Approach focuses on modeling and numerical aspects of nanoparticle transport within single- and two-phase flow in porous media. The book discusses modeling development, dimensional analysis, numerical solutions and convergence analysis. Actual types of porous media have been considered, including heterogeneous, fractured, and anisotropic. Moreover, different interactions with nanoparticles are studied, such as magnetic nanoparticles, ferrofluids and polymers. Finally, several machine learning techniques are implemented to predict nanoparticle transport in porous media. This book provides a complete full reference in mathematical modeling and numerical aspects of nanoparticle transport in porous media. It is an important reference source for engineers, mathematicians, and materials scientists who are looking to increase their understanding of modeling, simulation, and analysis at the nanoscale. Explains the major simulation models and numerical techniques used for predicting nanoscale transport phenomena Provides MATLAB codes for most of the numerical simulation and Python codes for machine learning calculations Uses examples and results to illustrate each model type to the reader Assesses major application areas for each model type
Author | : Alain P Bourgeat |
Publisher | : World Scientific |
Total Pages | : 534 |
Release | : 1995-11-30 |
Genre | : |
ISBN | : 9814548391 |
Download Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference Book in PDF, ePub and Kindle
This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.
Author | : Adam Szymkiewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2012-10-11 |
Genre | : Science |
ISBN | : 364223559X |
Download Modelling Water Flow in Unsaturated Porous Media Book in PDF, ePub and Kindle
The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.
Author | : Mario César Suárez Arriaga |
Publisher | : CRC Press |
Total Pages | : 496 |
Release | : 2008-12-01 |
Genre | : Technology & Engineering |
ISBN | : 0203886224 |
Download Numerical Modeling of Coupled Phenomena in Science and Engineering Book in PDF, ePub and Kindle
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
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Release | : 1984 |
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Download Mathematical and Numerical Modeling Considerations for Radionuclide Ion Migration in Porous Media Book in PDF, ePub and Kindle
The equations governing radionuclide transport in sorbing, porous media are presented using phenomenological coefficients. Both equilibrium controlled and simple rate controlled chemistry are summarized. Several simplified models are discussed. Finally, various numerical problems are considered. 25 references.
Author | : José A. Ferreira |
Publisher | : Springer Science & Business Media |
Total Pages | : 215 |
Release | : 2012-12-04 |
Genre | : Mathematics |
ISBN | : 1461450551 |
Download Modelling and Simulation in Fluid Dynamics in Porous Media Book in PDF, ePub and Kindle
This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was held in Coimbra, Portugal, in September 12-14, 2011. The contributions are devoted to mathematical modeling, numerical simulation and their applications, providing the readers a state-of-the-art overview on the latest findings and new challenges on the topic. The book includes research work of worldwide recognized leaders in their respective fields and presents advances in both theory and applications, making it appealing to a vast range of audience, in particular mathematicians, engineers and physicists.
Author | : Gedeon Dagan |
Publisher | : Springer Science & Business Media |
Total Pages | : 293 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 9401721998 |
Download Mathematical Modeling for Flow and Transport Through Porous Media Book in PDF, ePub and Kindle
The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.
Author | : Michel Rappaz |
Publisher | : Springer Science & Business Media |
Total Pages | : 544 |
Release | : 2010-03-11 |
Genre | : Technology & Engineering |
ISBN | : 3642118216 |
Download Numerical Modeling in Materials Science and Engineering Book in PDF, ePub and Kindle
Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.
Author | : Geir Hasle |
Publisher | : Springer Science & Business Media |
Total Pages | : 559 |
Release | : 2007-06-10 |
Genre | : Mathematics |
ISBN | : 3540687831 |
Download Geometric Modelling, Numerical Simulation, and Optimization: Book in PDF, ePub and Kindle
This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.