Potential Method In Mathematical Theories Of Multi Porosity Media

Author : Merab Svanadze
Publisher : Springer Nature
Page : 302 pages
File Size : 41,7 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9783030280222

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Potential Method in Mathematical Theories of Multi-Porosity Media by Merab Svanadze Pdf

This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green’s formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conduction for rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models. Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.

Author : Brian Straughan
Publisher : Springer
Page : 214 pages
File Size : 50,9 Mb
Release : 2017-11-30
Category : Computers
ISBN : 9783319701721

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Mathematical Aspects of Multi–Porosity Continua by Brian Straughan Pdf

This book is devoted to describing theories for porous media where such pores have an inbuilt macro structure and a micro structure. For example, a double porosity material has pores on a macro scale, but additionally there are cracks or fissures in the solid skeleton. The actual body is allowed to deform and thus the underlying theory is one of elasticity. Various different descriptions are reviewed. Chapter 1 introduces the classical linear theory of elastodynamics together with uniqueness and continuous dependence results. Chapters 2 and 3 review developments of theories for double and triple porosity using a pressure-displacement structure and also using voids-displacement. Chapter 4 compares various aspects of the pressure-displacement and voids-displacement theories via uniqueness studies and wave motion analysis. Mathematical analyses of double and triple porosity materials are included concentrating on uniqueness and stability studies in chapters 5 to 7. In chapters 8 and 9 the emphasis is on wave motion in double porosity materials with special attention paid to nonlinear waves. The final chapter embraces a novel area where an elastic body with a double porosity structure is analyzed, but the thermodynamics allows for heat to travel as a wave rather than simply by diffusion. This book will be of value to mathematicians, theoretical engineers and other practitioners who are interested in double or triple porosity elasticity and its relevance to many diverse applications.

Author : Wolfgang Ehlers,J. Bluhm
Publisher : Springer Science & Business Media
Page : 476 pages
File Size : 47,9 Mb
Release : 2002-07-09
Category : Computers
ISBN : 3540437630

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Porous Media by Wolfgang Ehlers,J. Bluhm Pdf

The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).

Author : Qiquan Ran
Publisher : Springer Nature
Page : 411 pages
File Size : 44,8 Mb
Release : 2020-08-14
Category : Technology & Engineering
ISBN : 9789813298484

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Unconventional Tight Reservoir Simulation: Theory, Technology and Practice by Qiquan Ran Pdf

This book systematically introduces readers to the simulation theory and techniques of multiple media for unconventional tight reservoirs. It summarizes the macro/microscopic heterogeneities; the features of multiscale multiple media; the characteristics of complex fluid properties; the occurrence state of continental tight oil and gas reservoirs in China; and the complex flow characteristics and coupled production mechanism under unconventional development patterns. It also discusses the simulation theory of multiple media for unconventional tight oil and gas reservoirs; mathematic model of flow through discontinuous multiple media; geological modeling of discrete multiscale multiple media; and the simulation of multiscale, multiphase flow regimes and multiple media. In addition to the practical application of simulation and software for unconventional tight oil and gas, it also explores the development trends and prospects of simulation technology. The book is of interest to scientific researchers and technicians engaged in the development of oil and gas reservoirs, and serves as a reference resource for advanced graduate students in fields related to petroleum.

Author : Donald L. Turcotte,Gerald Schubert
Publisher : Cambridge University Press
Page : 1074 pages
File Size : 46,7 Mb
Release : 2002-03-25
Category : Science
ISBN : 9781107268678

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Geodynamics by Donald L. Turcotte,Gerald Schubert Pdf

First published in 1982, Don Turcotte and Jerry Schubert's Geodynamics became a classic textbook for several generations of students of geophysics and geology. In this second edition, the authors bring this text completely up-to-date. Important additions include a chapter on chemical geodynamics, an updated coverage of comparative planetology based on recent planetary missions, and a variety of other new topics. Geodynamics provides the fundamentals necessary for an understanding of the workings of the solid earth, describing the mechanics of earthquakes, volcanic eruptions, and mountain building in the context of the role of mantle convection and plate tectonics. Observations such as the earth's gravity field, surface heat flow, distribution of earthquakes, surface stresses and strains, and distribution of elements are discussed. This new edition will once again prove to be a classic textbook for intermediate to advanced undergraduates and graduate students in geology, geophysics, and earth science.

Author : H. Niemi,G. Högnas,A. N. Shiryaev,A. V. Melnikov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 304 pages
File Size : 50,5 Mb
Release : 2020-05-18
Category : Mathematics
ISBN : 9783112314203

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Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics, Turku, Finland, August 13–16, 1991 by H. Niemi,G. Högnas,A. N. Shiryaev,A. V. Melnikov Pdf

No detailed description available for "Proceedings of the Third Finnish-Soviet Symposium on Probability Theory and Mathematical Statistics, Turku, Finland, August 13-16, 1991".

Author : Wenchao Liu
Publisher : Springer Nature
Page : 287 pages
File Size : 40,7 Mb
Release : 2024-07-02
Category : Electronic
ISBN : 9789819716357

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Analytical and Numerical Methods for Nonlinear Fluid Flow Problems in Porous Media by Wenchao Liu Pdf

Author : J.M. Crolet,M. El Hatri
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 53,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9789401728560

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Recent Advances in Problems of Flow and Transport in Porous Media by J.M. Crolet,M. El Hatri Pdf

Porous media, and especially phenomena of transport in such materials, are an impor1ant field of interest for geologists, hydrogeologists, researchers in soil and fluid mechanics, petroleum and chemical engineers, physicists and scientists in many other disciplines. The development of better numerical simulation techniques in combination with the enormous expansion of computer tools, have enabled numerical simulation of transport phenomena (mass of phases and components, energy etc. ) in porous domains of interest. Before any practical application of the results of such simulations can be used, it is essential that the simulation models have been proven to be valid. In order to establish the greatest possible coherence between the models and the physical reality, frequent interaction between numericians, mathematicians and the previously quoted researchers, is necessary. Once this coherence is established, the numerical simulations could be used to predict various phenomena such as water management, propagation of pollutants etc. These simulations could be, in many cases, the only financially acceptable tool to carry out an investigation. Current studies within various fields of applications include not only physical comprehension aspects of flow and energy or solute transport in saturated or unsaturated media but also numerical aspects in deriving strong complex equations. Among the various fields of applications generally two types of problems can be observed. Those associated with the pollution of the environment and those linked to water management. The former are essentially a problem in industrialized countries, the latter are a major source of concern in North-Africa.

Author : Vincenzo Ferone,Tatsuki Kawakami,Paolo Salani,Futoshi Takahashi
Publisher : Springer Nature
Page : 303 pages
File Size : 45,6 Mb
Release : 2021-06-12
Category : Mathematics
ISBN : 9783030733636

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Geometric Properties for Parabolic and Elliptic PDE's by Vincenzo Ferone,Tatsuki Kawakami,Paolo Salani,Futoshi Takahashi Pdf

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20–24, 2019. This book will be of great interest for the mathematical community and in particular for researchers studying parabolic and elliptic PDEs. It covers many different fields of current research as follows: convexity of solutions to PDEs, qualitative properties of solutions to parabolic equations, overdetermined problems, inverse problems, Brunn-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities.

Author : M.S. Espedal,A. Fasano,A. Mikelic
Publisher : Springer
Page : 225 pages
File Size : 44,6 Mb
Release : 2007-05-06
Category : Science
ISBN : 9783540446569

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Filtration in Porous Media and Industrial Application by M.S. Espedal,A. Fasano,A. Mikelic Pdf

This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.

Author : Pavel Bedrikovetsky
Publisher : Springer Science & Business Media
Page : 602 pages
File Size : 47,7 Mb
Release : 1993-07-31
Category : Science
ISBN : 0792323815

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Mathematical Theory of Oil and Gas Recovery by Pavel Bedrikovetsky Pdf

It is a pleasure to be asked to write the foreword to this interesting new book. When Professor Bedrikovetsky first accepted my invitation to spend an extended sabbatical period in the Department of Mineral Resources Engineering at Imperial College of Science, Technology and Medicine, I hoped it would be a period of fruitful collaboration. This book, a short course and a variety of technical papers are tangible evidence of a successful stay in the UK. I am also pleased that Professor Bedrikovetsky acted on my suggestion to publish this book with Kluwer as part of the petroleum publications for which I am Series Editor. The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute. The original DSc contained a number of discrete publications unified by an analytical mathematics approach to fluid flow in petroleum reservoirs. During his sabbatical stay at Imperial College, Professor Bedrikovetsky has refined and extended many of the chapters and has discussed each one with internationally recognised experts in the field. He received great encouragement and editorial advice from Dr Gren Rowan, who pioneered analytical methods in reservoir modelling at BP for many years.

Author : Anonim
Publisher : Unknown
Page : 620 pages
File Size : 49,6 Mb
Release : 1974
Category : Mechanics, Applied
ISBN : UCAL:C2682447

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Applied Mechanics Reviews by Anonim Pdf

Author : Juan Luis Vazquez
Publisher : Unknown
Page : 624 pages
File Size : 53,9 Mb
Release : 2007
Category : Electronic
ISBN : OCLC:269297728

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The Porous Medium Equation by Juan Luis Vazquez Pdf

Author : M. Panfilov
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 44,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9789401595827

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Macroscale Models of Flow Through Highly Heterogeneous Porous Media by M. Panfilov Pdf

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.

Author : Amir R. Khoei
Publisher : John Wiley & Sons
Page : 600 pages
File Size : 48,7 Mb
Release : 2015-02-23
Category : Science
ISBN : 9781118457689

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Extended Finite Element Method by Amir R. Khoei Pdf

Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples