Poroelasticity

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Publisher : Springer
ISBN 13 : 331925202X
Total Pages : 877 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Poroelasticity by : Alexander H.-D. Cheng

Download or read book Poroelasticity written by Alexander H.-D. Cheng and published by Springer. This book was released on 2016-04-20 with total page 877 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal flesh, or man-made materials can look very different due to their different origins, but as readers will see, the underlying physical principles governing their mechanical behaviors can be the same, making this work relevant not only to engineers but also to scientists across other scientific disciplines. Readers will find discussions of physical phenomena including soil consolidation, land subsidence, slope stability, borehole failure, hydraulic fracturing, water wave and seabed interaction, earthquake aftershock, fluid injection induced seismicity and heat induced pore pressure spalling as well as discussions of seismoelectric and seismoelectromagnetic effects. The work also explores the biomechanics of cartilage, bone and blood vessels. Chapters present theory using an intuitive, phenomenological approach at the bulk continuum level, and a thermodynamics-based variational energy approach at the micromechanical level. The physical mechanisms covered extend from the quasi-static theory of poroelasticity to poroelastodynamics, poroviscoelasticity, porothermoelasticity, and porochemoelasticity. Closed form analytical solutions are derived in details. This book provides an excellent introduction to linear poroelasticity and is especially relevant to those involved in civil engineering, petroleum and reservoir engineering, rock mechanics, hydrology, geophysics, and biomechanics.

Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

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Publisher : Princeton University Press
ISBN 13 : 140088568X
Total Pages : 301 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology by : Herbert F. Wang

Download or read book Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology written by Herbert F. Wang and published by Princeton University Press. This book was released on 2017-02-15 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of linear poroelasticity describes the interaction between mechanical effects and adding or removing fluid from rock. It is critical to the study of such geological phenomena as earthquakes and landslides and is important for numerous engineering projects, including dams, groundwater withdrawal, and petroleum extraction. Now an advanced text synthesizes in one place, with one notation, numerous classical solutions and applications of this highly useful theory. The introductory chapter recounts parallel developments in geomechanics, hydrogeology, and reservoir engineering that are unified by the tenets of poroelasticity. Next, the theory's constitutive and governing equations and their associated material parameters are described. These equations are then specialized for different simplifying geometries: unbounded problem domains, uniaxial strain, plane strain, radial symmetry, and axisymmetry. Example problems from geomechanics, hydrogeology, and petroleum engineering are incorporated throughout to illustrate poroelastic behavior and solution methods for a wide variety of real-world scenarios. The final chapter provides outlines for finite-element and boundary-element formulations of the field's governing equations. Whether read as a course of study or consulted as a reference by researchers and professionals, this volume's user-friendly presentation makes accessible one of geophysics' most important subjects and will do much to reduce poroelasticity's reputation as difficult to master.

Thermo-Poroelasticity and Geomechanics

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Publisher : Cambridge University Press
ISBN 13 : 110714289X
Total Pages : 269 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Thermo-Poroelasticity and Geomechanics by : A. P. S. Selvadurai

Download or read book Thermo-Poroelasticity and Geomechanics written by A. P. S. Selvadurai and published by Cambridge University Press. This book was released on 2016-10-27 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: A full account of thermo-poroelasticity and thermo-poromechanics with derivations to problems, for both experienced and novice researchers.

Variational Continuum Multiphase Poroelasticity

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Publisher : Springer
ISBN 13 : 9811034524
Total Pages : 198 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Variational Continuum Multiphase Poroelasticity by : Roberto Serpieri

Download or read book Variational Continuum Multiphase Poroelasticity written by Roberto Serpieri and published by Springer. This book was released on 2017-01-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the theoretical derivation of a recently presented general variational macroscopic continuum theory of multiphase poroelasticity (VMTPM), together with its applications to consolidation and stress partitioning problems of interest in several applicative engineering contexts, such as in geomechanics and biomechanics. The theory is derived based on a purely-variational deduction, rooted in the least-Action principle, by considering a minimal set of kinematic descriptors. The treatment herein considered keeps a specific focus on the derivation of most general medium-independent governing equations. It is shown that VMTPM recovers paradigms of consolidated use in multiphase poroelasticity such as Terzaghi's stress partitioning principle and Biot's equations for wave propagation. In particular, the variational treatment permits the derivation of a general medium-independent stress partitioning law, and the proposed variational theory predicts that the external stress, the fluid pressure, and the stress tensor work-associated with the macroscopic strain of the solid phase are partitioned according to a relation which, from a formal point of view, turns out to be strictly compliant with Terzaghi's law, irrespective of the microstructural and constitutive features of a given medium. Moreover, it is shown that some experimental observations on saturated sandstones, generally considered as proof of deviations from Terzaghi's law, are ordinarily predicted by VMTPM. As a peculiar prediction of VMTPM, the book shows that the phenomenon of compression-induced liquefaction experimentally observed in cohesionless mixtures can be obtained as a natural implication of this theory by a purely rational deduction. A characterization of the phenomenon of crack closure in fractured media is also inferred in terms of macroscopic strain and stress paths. Altogether the results reported in this monograph exemplify the capability of VMTPM to describe and predict a large class of linear and nonlinear mechanical behaviors observed in two-phase saturated materials.

A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs

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Publisher : Birkhäuser
ISBN 13 : 3319170791
Total Pages : 235 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs by : Matthias Albert Augustin

Download or read book A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs written by Matthias Albert Augustin and published by Birkhäuser. This book was released on 2015-07-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the numerical methods needed in the context of developing a reliable simulation tool to promote the use of renewable energy. One very promising source of energy is the heat stored in the Earth’s crust, which is harnessed by so-called geothermal facilities. Scientists from fields like geology, geo-engineering, geophysics and especially geomathematics are called upon to help make geothermics a reliable and safe energy production method. One of the challenges they face involves modeling the mechanical stresses at work in a reservoir. The aim of this thesis is to develop a numerical solution scheme by means of which the fluid pressure and rock stresses in a geothermal reservoir can be determined prior to well drilling and during production. For this purpose, the method should (i) include poroelastic effects, (ii) provide a means of including thermoelastic effects, (iii) be inexpensive in terms of memory and computational power, and (iv) be flexible with regard to the locations of data points. After introducing the basic equations and their relations to more familiar ones (the heat equation, Stokes equations, Cauchy-Navier equation), the “method of fundamental solutions” and its potential value concerning our task are discussed. Based on the properties of the fundamental solutions, theoretical results are established and numerical examples of stress field simulations are presented to assess the method’s performance. The first-ever 3D graphics calculated for these topics, which neither requiring meshing of the domain nor involving a time-stepping scheme, make this a pioneering volume.

Mechanics of Poroelastic Media

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792333296
Total Pages : 416 pages
Book Rating : 4.3/5 (332 download)

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Book Synopsis Mechanics of Poroelastic Media by : A.P.S. Selvadurai

Download or read book Mechanics of Poroelastic Media written by A.P.S. Selvadurai and published by Springer Science & Business Media. This book was released on 1996-01-31 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Mechanics of Poroelastic Media the classical theory of poroelasticity developed by Biot is developed and extended to the study of problems in geomechanics, biomechanics, environmental mechanics and materials science. The contributions are grouped into sections covering constitutive modelling, analytical aspects, numerical modelling, and applications to problems. The applications of the classical theory of poroelasticity to a wider class of problems will be of particular interest. The text is a standard reference for researchers interested in developing mathematical models of poroelasticity in geoenvironmental mechanics, and in the application of advanced theories of poroelastic biomaterials to the mechanics of biomaterials.

Mathematical Models for Poroelastic Flows

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Publisher : Springer Science & Business Media
ISBN 13 : 9462390150
Total Pages : 477 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Mathematical Models for Poroelastic Flows by : Anvarbek Meirmanov

Download or read book Mathematical Models for Poroelastic Flows written by Anvarbek Meirmanov and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to rigorous derivation of macroscopic mathematical models as a homogenization of exact mathematical models at the microscopic level. The idea is quite natural: one first must describe the joint motion of the elastic skeleton and the fluid in pores at the microscopic level by means of classical continuum mechanics, and then use homogenization to find appropriate approximation models (homogenized equations). The Navier-Stokes equations still hold at this scale of the pore size in the order of 5 – 15 microns. Thus, as we have mentioned above, the macroscopic mathematical models obtained are still within the limits of physical applicability. These mathematical models describe different physical processes of liquid filtration and acoustics in poroelastic media, such as isothermal or non-isothermal filtration, hydraulic shock, isothermal or non-isothermal acoustics, diffusion-convection, filtration and acoustics in composite media or in porous fractured reservoirs. Our research is based upon the Nguetseng two-scale convergent method.

Poroelastic Structures

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Publisher : Elsevier
ISBN 13 : 9780080539270
Total Pages : 168 pages
Book Rating : 4.5/5 (392 download)

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Book Synopsis Poroelastic Structures by : G. Cederbaum

Download or read book Poroelastic Structures written by G. Cederbaum and published by Elsevier. This book was released on 2000-07-12 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poroelasticity is a continuum theory for the analysis of a porous media consisting of an elastic matrix containing interconnected fluid-saturated pores. In physical terms the theory postulates that when a porous material is subjected to stress, the resulting matrix deformation leads to volumetric changes in the pores. This book is devoted to the analysis of fluid-saturated poroelastic beams, columns and plates made of materials for which diffusion in the longitudinal direction(s) is viable, while in the perpendicular direction(s) the flow can be considered negligible because of the micro-geometry of the solid skeletal material. Many microstructures and fabrication schemes could be imagined, which would produce bulk materials with the postulated behavior. The book provides a methodology and a theoretical basis for investigating the mechanical behaviors of the structural elements made of such materials. It is recognized that the response of the poroelastic structural element to loading is sensitive to the properties of the fluid and to the diffusion boundaries, which can be easily altered in practice. Therefore, such structural elements and thus their features are potentially controllable. In other words, it could be possible to convert such elements into intelligent or smart structures. If this is so, it would be interesting that such structural elements could work as both sensors and actuators, e.g. the fluid can "feel" the change of the temperature by changing its viscosity and this results in a change of the behavior of the structure. The present book is the first of its kind; there does not exist in the professional literature any book which deals with this subject. Chapter 1 is a general introduction and overview. The governing equations for beams are presented in Chapter 2. Chapter 3 then presents analytical solutions for the quasi-static bending problem. Series solutions are found for normal loading with various mechanical and diffusion boundary conditions. The finite element method is developed and employed for the quasi-static beams and columns with small deflections in Chapter 4. In Chapter 5 solutions are found for free and forced vibrations of poroelastic beams. Chapter 6 deals with large deflections of beams. The stability of poroelastic columns is investigated in Chapter 7. Three problems are considered: buckling, post-buckling, and dynamic stability. Formulations are found in Chapter 8 for fluid-saturated poroelastic plates consisting of a material, for which the diffusion is possible in the in-plane directions only, both for bending and for in-plane loading. This book attempts to constitute a reasonably self-contained presentation of a wide spectrum of problems related to the analysis of the type of poroelastic structure considered.

Mechanics of Poroelastic Media

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Publisher : Springer Science & Business Media
ISBN 13 : 9401586985
Total Pages : 389 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Mechanics of Poroelastic Media by : A.P.S. Selvadurai

Download or read book Mechanics of Poroelastic Media written by A.P.S. Selvadurai and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Mechanics of Poroelastic Media the classical theory of poroelasticity developed by Biot is developed and extended to the study of problems in geomechanics, biomechanics, environmental mechanics and materials science. The contributions are grouped into sections covering constitutive modelling, analytical aspects, numerical modelling, and applications to problems. The applications of the classical theory of poroelasticity to a wider class of problems will be of particular interest. The text is a standard reference for researchers interested in developing mathematical models of poroelasticity in geoenvironmental mechanics, and in the application of advanced theories of poroelastic biomaterials to the mechanics of biomaterials.

Poromechanics

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Publisher : John Wiley & Sons
ISBN 13 : 047009270X
Total Pages : 312 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Poromechanics by : Olivier Coussy

Download or read book Poromechanics written by Olivier Coussy and published by John Wiley & Sons. This book was released on 2004-03-05 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and predicting how porous media deform when subjected to external actions and physical phenomena, including the effect of saturating fluids, are of importance to the understanding of geophysics and civil engineering (including soil and rock mechanics and petroleum engineering), as well as in newer areas such as biomechanics and agricultural engineering. Starting from the highly successful First Edition, Coussy has completely re-written Mechanics of Porous Continua/Poromechanics to include: New material for: Partially saturated porous media Reactive porous media Macroscopic electrical effects A single theoretical framework to the subject to explain the interdisciplinary nature of the subject Exercises at the end of each chapter to aid understanding The unified approach taken by this text makes it a valuable addition to the bookshelf of every PhD student and researcher in civil engineering, petroleum engineering, geophysics, biomechanics and material science.

Introduction to Continuum Biomechanics

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598296175
Total Pages : 221 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis Introduction to Continuum Biomechanics by : Kyriacos A. Athanasiou

Download or read book Introduction to Continuum Biomechanics written by Kyriacos A. Athanasiou and published by Morgan & Claypool Publishers. This book was released on 2008 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is concerned with the study of continuum mechanics applied to biological systems, i.e., continuum biomechanics. This vast subject allows description of when a bone may fracture due to excessive loading, how blood behaves as both a solid and fluid, down to how cells respond to mechanical forces that lead to changes in their behavior, a process known as mechanotransduction. The authors have written for senior undergraduate students and first year graduate students in mechanical or biomedical engineering, but individuals working at biotechnology companies that deal in biomaterials or biomechanics should also find the information presented relevant and easily accessible."--BOOK JACKET.

Fluid-Induced Seismicity

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Publisher : Cambridge University Press
ISBN 13 : 0521884578
Total Pages : 299 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Fluid-Induced Seismicity by : S. A. Shapiro

Download or read book Fluid-Induced Seismicity written by S. A. Shapiro and published by Cambridge University Press. This book was released on 2015-04-23 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a quantitative introduction to the physics, application, interpretation, and hazard aspects of fluid-induced seismicity, focussing on spatio-temporal dynamics. Including many real data examples, this is a valuable reference for researchers and graduate students of geophysics, geomechanics and petrophysics, and a practical guide for petroleum geoscientists and engineers.

Petroleum Related Rock Mechanics

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Publisher : Elsevier
ISBN 13 : 0080557090
Total Pages : 515 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Petroleum Related Rock Mechanics by : Erling Fjær

Download or read book Petroleum Related Rock Mechanics written by Erling Fjær and published by Elsevier. This book was released on 2008-01-04 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineers and geologists in the petroleum industry will find Petroleum Related Rock Mechanics, 2e, a powerful resource in providing a basis of rock mechanical knowledge - a knowledge which can greatly assist in the understanding of field behavior, design of test programs and the design of field operations. Not only does this text give an introduction to applications of rock mechanics within the petroleum industry, it has a strong focus on basics, drilling, production and reservoir engineering. Assessment of rock mechanical parameters is covered in depth, as is acoustic wave propagation in rocks, with possible link to 4D seismics as well as log interpretation. Learn the basic principles behind rock mechanics from leading academic and industry experts Quick reference and guide for engineers and geologists working in the field Keep informed and up to date on all the latest methods and fundamental concepts

Tissue Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387368256
Total Pages : 685 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Tissue Mechanics by : Stephen C. Cowin

Download or read book Tissue Mechanics written by Stephen C. Cowin and published by Springer Science & Business Media. This book was released on 2006-10-25 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structures of living tissues are continually changing due to growth and response to the tissue environment, including the mechanical environment. Tissue Mechanics is an in-depth look at the mechanics of tissues. Tissue Mechanics describes the nature of the composite components of a tissue, the cellular processes that produce these constituents, the assembly of the constituents into a hierarchical structure, and the behavior of the tissue’s composite structure in the adaptation to its mechanical environment. Organized as a textbook for the student needing to acquire the core competencies, Tissue Mechanics will meet the demands of advanced undergraduate or graduate coursework in Biomedical Engineering, as well as, Chemical, Civil, and Mechanical Engineering. Key features: Detailed Illustrations Example problems, including problems at the end of sections A separate solutions manual available for course instructors A website (http://tissue-mechanics.com/) that has been established to provide supplemental material for the book, including downloadable additional chapters on specific tissues, downloadable PowerPoint presentations of all the book's chapters, and additional exercises and examples for the existing chapters. About the Authors: Stephen C. Cowin is a City University of New York Distinguished Professor, Departments of Biomedical and Mechanical Engineering, City College of the City University of New York and also an Adjunct Professor of Orthopaedics, at the Mt. Sinai School of Medicine in New York, New York. In 1985 he received the Society of Tulane Engineers and Lee H. Johnson Award for Teaching Excellence and a recipient of the European Society of Biomechanics Research Award in 1994. In 1999 he received the H. R. Lissner medal of the ASME for contributions to biomedical engineering. In 2004 he was elected to the National Academy of Engineering (NAE) and he also received the Maurice A. Biot medal of the American Society of Civil Engineers (ASCE). Stephen B. Doty is a Senior Scientist at Hospital for Special Surgery, New York, New York and Adjunct Professor, School of Dental and Oral Surgery, Columbia University, New York, NY. He has over 100 publications in the field of anatomy, developmental biology, and the physiology of skeletal and connective tissues. His honors include several commendations for participation in the Russian/NASA spaceflights, the Spacelab Life Science NASA spaceflights, and numerous Shuttle missions that studied the influence of spaceflight on skeletal physiology. He presently is on the scientific advisory board of the National Space Biomedical Research Institute, Houston, Texas.

Poromechanics

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Publisher : CRC Press
ISBN 13 : 1000100235
Total Pages : 666 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Poromechanics by : J.F. Thimus

Download or read book Poromechanics written by J.F. Thimus and published by CRC Press. This book was released on 2020-12-17 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text features 105 papers dealing with the fundamentals and the applications of poromechanics from the Biot conference of 1998, held in Louvain-la-Neuve. Topics include: wave propogation; numerical modelling; identification of poromechanical parameters; and constitutive modelling.

Wave Propagation in Viscoelastic and Poroelastic Continua

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Publisher : Springer Science & Business Media
ISBN 13 : 3540445757
Total Pages : 176 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Wave Propagation in Viscoelastic and Poroelastic Continua by : Martin Schanz

Download or read book Wave Propagation in Viscoelastic and Poroelastic Continua written by Martin Schanz and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.

Poroelasticity of Sedimentary Rocks

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Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Poroelasticity of Sedimentary Rocks by : Douglas H. Green

Download or read book Poroelasticity of Sedimentary Rocks written by Douglas H. Green and published by . This book was released on 1989 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: