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Theory Of Fluid Flows Through Natural Rocks

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Theory Of Fluid Flows Through Natural Rocks

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Author : G.I. Barenblatt
language : en
Publisher: Springer
Release Date : 1990-04-30

Theory Of Fluid Flows Through Natural Rocks written by G.I. Barenblatt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-30 with Science categories.

Mechanics, the oldest branch of physics, to this day remains the basis for modern technology. This is especially evident with regard to the oil and gas industry. Almost all of the technological processes in these branches of industry, from the drilling of wells to the transporting of oil and gas products via pipelines, are mechanical in their nature. The processes of the development of oil and gas deposits are of primary importance in the whole technological chain of oil and gas extraction from the rocks and their transportation to the customer. The use of scientific methods for improving technology is a long-established tradition of oil and gas industry. For the Western reader, it is enough to mention the fundamental treatises by the outstanding American research scientist and engineer M. Muskat (1937, 1949) as well as the excellent books of Scheidegger (1960) and Collins (1961) which combine practical goals with profound theoretical analysis. The initiators of the application of mechanics for solving problems of the oil and gas industry in the U.S.S.R. were V.G. Shukhov (1981) and LS. Leibenzon (1934, 1947, 1953, 1955) whose works constitute admirable examples of Soviet technical thought. During recent times, the magnitude of oil and gas extraction has increased immensely and many reservoirs with complicated physical and geological properties have, therefore, entered into the development. The fundamental problem of enhancing oil and gas recovery from rocks has been intensively and deeply analyzed.

Theory Of Fluid Flows Through Natural Rocks

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Author : G.I. Barenblatt
language : en
Publisher: Springer
Release Date : 1990-05-14

The Mathematics Of Fluid Flow Through Porous Media

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Author : Myron B. Allen, III
language : en
Publisher: John Wiley & Sons
Release Date : 2021-06-08

The Mathematics Of Fluid Flow Through Porous Media written by Myron B. Allen, III and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Mathematics categories.

Master the techniques necessary to build and use computational models of porous media fluid flow In The Mathematics of Fluid Flow Through Porous Media, distinguished professor and mathematician Dr. Myron B. Allen delivers a one-stop and mathematically rigorous source of the foundational principles of porous medium flow modeling. The book shows readers how to design intelligent computation models for groundwater flow, contaminant transport, and petroleum reservoir simulation. Discussions of the mathematical fundamentals allow readers to prepare to work on computational problems at the frontiers of the field. Introducing several advanced techniques, including the method of characteristics, fundamental solutions, similarity methods, and dimensional analysis, The Mathematics of Fluid Flow Through Porous Media is an indispensable resource for students who have not previously encountered these concepts and need to master them to conduct computer simulations. Teaching mastery of a subject that has increasingly become a standard tool for engineers and applied mathematicians, and containing 75 exercises suitable for self-study or as part of a formal course, the book also includes: A thorough introduction to the mechanics of fluid flow in porous media, including the kinematics of simple continua, single-continuum balance laws, and constitutive relationships An exploration of single-fluid flows in porous media, including Darcy’s Law, non-Darcy flows, the single-phase flow equation, areal flows, and flows with wells Practical discussions of solute transport, including the transport equation, hydrodynamic dispersion, one-dimensional transport, and transport with adsorption A treatment of multiphase flows, including capillarity at the micro- and macroscale Perfect for graduate students in mathematics, civil engineering, petroleum engineering, soil science, and geophysics, The Mathematics of Fluid Flow Through Porous Media also belongs on the bookshelves of any researcher who wishes to extend their research into areas involving flows in porous media.

Macroscale Models Of Flow Through Highly Heterogeneous Porous Media

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Author : M. Panfilov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Macroscale Models Of Flow Through Highly Heterogeneous Porous Media written by M. Panfilov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.

The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.

Computational Methods In Environmental Fluid Mechanics

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Author : Olaf Kolditz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Computational Methods In Environmental Fluid Mechanics written by Olaf Kolditz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Computers categories.

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 in addition to deformation processes in subsurface systems. In this textbook 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 and its object-oriented computer implementation are discussed and illustrated with examples. Finally the application of computer models in civil and environmental engineering is demonstrated.

Principles And Applications Of Dimensional Analysis And Similarity

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Author : Sandro G. Longo
language : en
Publisher: Springer Nature
Release Date : 2022-02-04

Principles And Applications Of Dimensional Analysis And Similarity written by Sandro G. Longo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-04 with Mathematics categories.

The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences. The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. There is also the analysis of self-similarity, both of first and second kind, with a couple of completely solved problems, framed within the group theory. From chapter 5 onward, the focus is on applications in some of the engineering sectors. The number of topics is necessarily limited, but, almost always, there are details, calculations and treatment of assumptions. The book contains descriptions of some of the experimental apparatuses currently used for the realisation of physical models, such as the wind tunnel, the shaking table, the centrifuge, and with the exclusion of many others, which can be found in specialist monographies. Measurement techniques and instrumentation and statistical data processing is also available in other books. Some more specific notions, required by the context, are reported in the appendix, where appears also the description of numerous dimensionless groups, all of engineering interest, but with the exclusion of many others related to physical processes of electrical nature or physics of particles. A glossary lists the meaning of some specific terms typical of dimensional analysis and used in the book.

The Thermophysics Of Porous Media

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Author : T.J.T. Spanos
language : en
Publisher: CRC Press
Release Date : 2001-11-28

The Thermophysics Of Porous Media written by T.J.T. Spanos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-28 with Mathematics categories.

Models for the mechanical behavior of porous media introduced more than 50 years ago are still relied upon today, but more recent work shows that, in some cases, they may violate the laws of thermodynamics. In The Thermophysics of Porous Media, the author shows that physical consistency requires a unique description of dynamic processes that involv

Degenerate Diffusions

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Author : Wei-Ming Ni
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Degenerate Diffusions written by Wei-Ming Ni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This IMA Volume in Mathematics and its Applications DEGENERATE DIFFUSIONS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries". The aim of this workshop was to provide some focus in the study of degenerate diffusion equations, and by involving scientists and engineers as well as mathematicians, to keep this focus firmly linked to concrete problems. We thank Wei-Ming Ni, L.A. Peletier and J.L. Vazquez for organizing the meet ing. We especially thank Wei-Ming Ni for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the National Science Foun dation, and the Office of Naval Research. A vner Friedman Willard Miller, Jr. PREFACE This volume is the proceedings of the IMA workshop "Degenerate Diffusions" held at the University of Minnesota from May 13 to May 18, 1991.

The Physics Of Composite And Porous Media

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Author : T. J. T. (Tim) Spanos
language : en
Publisher: CRC Press
Release Date : 2017-11-06

The Physics Of Composite And Porous Media written by T. J. T. (Tim) Spanos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-06 with Science categories.

Building on the success of T.J.T. Spanos's previous book The Thermophysics of Porous Media, The Physics of Composite and Porous Media explains non-linear field theory that describes how physical processes occur in the earth. It describes physical processes associated with the interaction of the various phases at the macroscale (the scale at which continuum equations are established) and how these interactions give rise to additional physical processes at the megascale (the scale orders of magnitude larger at which a continuum description may once again be established). Details are also given on how experimental, numerical and theoretical work on this subject fits together. This book will be of interest to graduate students and academic researchers working on understanding the physical process in the earth, in addition to those working in the oil and hydrogeology industries.

Feflow

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Author : Hans-Jörg G. Diersch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22

Feflow written by Hans-Jörg G. Diersch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Science categories.

FEFLOW is an acronym of Finite Element subsurface FLOW simulation system and solves the governing flow, mass and heat transport equations in porous and fractured media by a multidimensional finite element method for complex geometric and parametric situations including variable fluid density, variable saturation, free surface(s), multispecies reaction kinetics, non-isothermal flow and multidiffusive effects. FEFLOW comprises theoretical work, modeling experiences and simulation practice from a period of about 40 years. In this light, the main objective of the present book is to share this achieved level of modeling with all required details of the physical and numerical background with the reader. The book is intended to put advanced theoretical and numerical methods into the hands of modeling practitioners and scientists. It starts with a more general theory for all relevant flow and transport phenomena on the basis of the continuum approach, systematically develops the basic framework for important classes of problems (e.g., multiphase/multispecies non-isothermal flow and transport phenomena, discrete features, aquifer-averaged equations, geothermal processes), introduces finite-element techniques for solving the basic balance equations, in detail discusses advanced numerical algorithms for the resulting nonlinear and linear problems and completes with a number of benchmarks, applications and exercises to illustrate the different types of problems and ways to tackle them successfully (e.g., flow and seepage problems, unsaturated-saturated flow, advective-diffusion transport, saltwater intrusion, geothermal and thermohaline flow).

Theory Of Fluid Flows Through Natural Rocks

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