Theory Of Linear Poroelasticity With Applications To Geomechanics And Hydrogeology

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Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology

Author : Herbert F. Wang
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.

Poroelasticity

Author : Alexander H.-D. Cheng
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.

Thermo-Poroelasticity and Geomechanics

Author : A. P. S. Selvadurai
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.

Geotechnical and Environmental Applications of Karst Geology and Hydrology

Author : B.F. Beck
Publisher : CRC Press
ISBN 13 : 9789058091901
Total Pages : 460 pages
Book Rating : 4.0/5 (919 download)

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Book Synopsis Geotechnical and Environmental Applications of Karst Geology and Hydrology by : B.F. Beck

Download or read book Geotechnical and Environmental Applications of Karst Geology and Hydrology written by B.F. Beck and published by CRC Press. This book was released on 2001-01-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers topics such as sinkhole formation and regional studies of sinkholes and karst. Issues addressed are taken from the 8th multidiscilinary conference on this subject and chart the characteristics of sinkholes and karst as well as their environmental repercussions.

Fractional Calculus for Hydrology, Soil Science and Geomechanics

Author : Ninghu Su
Publisher : CRC Press
ISBN 13 : 1351032410
Total Pages : 340 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Fractional Calculus for Hydrology, Soil Science and Geomechanics by : Ninghu Su

Download or read book Fractional Calculus for Hydrology, Soil Science and Geomechanics written by Ninghu Su and published by CRC Press. This book was released on 2020-11-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.

Potential Method in Mathematical Theories of Multi-Porosity Media

Author : Merab Svanadze
Publisher : Springer Nature
ISBN 13 : 3030280225
Total Pages : 302 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Potential Method in Mathematical Theories of Multi-Porosity Media by : Merab Svanadze

Download or read book Potential Method in Mathematical Theories of Multi-Porosity Media written by Merab Svanadze and published by Springer Nature. This book was released on 2019-11-01 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics of Fluid-Saturated Rocks

Author : Yves Gueguen
Publisher : Elsevier
ISBN 13 : 0080479367
Total Pages : 465 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Mechanics of Fluid-Saturated Rocks by : Yves Gueguen

Download or read book Mechanics of Fluid-Saturated Rocks written by Yves Gueguen and published by Elsevier. This book was released on 2004-05-12 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Fluid Saturated Rocks presents a current and comprehensive report on this emerging field that bridges the areas of geology and mechanics. It is of direct interest to a wide spectrum of earth scientists and engineers who are concerned with upper-crust mechanics and fluid movements, the most important fluids being oil and water. This authoritative book is the result of a collaborative effort between scientists in academic institutions and industry. It examines important issues such as subsidence, geological fault formation, earthquake faulting, hydraulic fracturing, transport of fluids, and natural and direct applications. Mechanics of Fluid Saturated Rocks provides a unique interdisciplinary viewpoint, as well as case studies, conclusions, and recommendations for further research. Covers the physical, chemical, and mechanical analysis of porous saturated rock deformation on both large and small scales Discusses the latest developments of importance to engineers and geologists Examines natural and direct applications Includes extensive bibliographies for each chapter

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

Author : Matthias Albert Augustin
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.

Geomechanics and Geodynamics of Rock Masses

Author : Vladimir Litvinenko
Publisher : CRC Press
ISBN 13 : 0429868596
Total Pages : 1670 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Geomechanics and Geodynamics of Rock Masses by : Vladimir Litvinenko

Download or read book Geomechanics and Geodynamics of Rock Masses written by Vladimir Litvinenko and published by CRC Press. This book was released on 2018-05-15 with total page 1670 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geomechanics and Geodynamics of Rock Masses contains contributions presented at EUROCK 2018, the 2018 International Symposium of the International Society for Rock Mechanics (ISRM 2018, Saint Petersburg, Russia, 22-26 May 2018). Dedicated to recent advances and achievements in the fields of geomechanics and geotechnology, the main topics of the book include: - Physical and mechanical properties of fractured rock (laboratory testing and rock properties, field measurements and site investigations) - Geophysics in rock mechanics - Rock mass strength and failure - Nonlinear problems in rock mechanics - Effect of joint water on the behavior of rock foundation - Numerical modeling and back analysis - Mineral resources development: methods and rock mechanics problems - Rock mechanics and underground construction in mining, hydropower industry and civil engineering - Rock mechanics in petroleum engineering - Geodynamics and monitoring of rock mass behavior - Risks and hazards - Geomechanics of technogenic deposits Geomechanics and Geodynamics of Rock Masses will be of interest to researchers and professionals involved in the various branches of rock mechanics and rock engineering. EUROCK 2018, organized by the Saint Petersburg Mining University, is a continuation of the successful series of ISRM symposia in Europe, which began in 1992 in Chester, UK.

Geomechanics and Geodynamics of Rock Masses - Volume 2

Author : Vladimir Litvinenko
Publisher : CRC Press
ISBN 13 : 0429867697
Total Pages : 710 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Geomechanics and Geodynamics of Rock Masses - Volume 2 by : Vladimir Litvinenko

Download or read book Geomechanics and Geodynamics of Rock Masses - Volume 2 written by Vladimir Litvinenko and published by CRC Press. This book was released on 2018-05-20 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is Volume 2 of the EUROCK 2018 proceedings. Geomechanics and Geodynamics of Rock Masses contains contributions presented at EUROCK 2018, the 2018 International Symposium of the International Society for Rock Mechanics (ISRM 2018, Saint Petersburg, Russia, 22-26 May 2018). Dedicated to recent advances and achievements in the fields of geomechanics and geotechnology, the main topics of the book include: - Physical and mechanical properties of fractured rock (laboratory testing and rock properties, field measurements and site investigations) - Geophysics in rock mechanics - Rock mass strength and failure - Nonlinear problems in rock mechanics - Effect of joint water on the behavior of rock foundation - Numerical modeling and back analysis - Mineral resources development: methods and rock mechanics problems - Rock mechanics and underground construction in mining, hydropower industry and civil engineering - Rock mechanics in petroleum engineering - Geodynamics and monitoring of rock mass behavior - Risks and hazards - Geomechanics of technogenic deposits Geomechanics and Geodynamics of Rock Masses will be of interest to researchers and professionals involved in the various branches of rock mechanics and rock engineering. EUROCK 2018, organized by the Saint Petersburg Mining University, is a continuation of the successful series of ISRM symposia in Europe, which began in 1992 in Chester, UK.

Handbook of Porous Media

Author : Kambiz Vafai
Publisher : CRC Press
ISBN 13 : 1439885575
Total Pages : 946 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Handbook of Porous Media by : Kambiz Vafai

Download or read book Handbook of Porous Media written by Kambiz Vafai and published by CRC Press. This book was released on 2015-06-23 with total page 946 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Porous Media, Third Edition offers a comprehensive overview of the latest theories on flow, transport, and heat-exchange processes in porous media. It also details sophisticated porous media models which can be used to improve the accuracy of modeling in a variety of practical applications. Featuring contributions from leading experts i

Mathematical and Numerical Modeling in Porous Media

Author : Martin A. Diaz Viera
Publisher : CRC Press
ISBN 13 : 041566537X
Total Pages : 372 pages
Book Rating : 4.4/5 (156 download)

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Book Synopsis Mathematical and Numerical Modeling in Porous Media by : Martin A. Diaz Viera

Download or read book Mathematical and Numerical Modeling in Porous Media written by Martin A. Diaz Viera and published by CRC Press. This book was released on 2012-07-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wave Fields in Real Media

Author : José M. Carcione
Publisher : Elsevier
ISBN 13 : 0323983596
Total Pages : 828 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Wave Fields in Real Media by : José M. Carcione

Download or read book Wave Fields in Real Media written by José M. Carcione and published by Elsevier. This book was released on 2022-08-04 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic, Porous and Electromagnetic Media examines the differences between an ideal and a real description of wave propagation, starting with the introduction of relevant constitutive relations. The differential formulation can be written in terms of memory variables, and Biot theory is used to describe wave propagation in porous media. For each constitutive relation, a plane-wave analysis is performed to illustrate the physics of wave propagation. New topics are the S-wave amplification function, Fermat principle and its relation to Snell law, bounds and averages of seismic Q, seismic attenuation in partially molten rocks, and more. This book contains a review of the main direct numerical methods for solving the equation of motion in the time and space domains. The emphasis is on geophysical applications for seismic exploration, but researchers in the fields of earthquake seismology, rock acoustics and material science - including many branches of acoustics of fluids and solids - may also find this text useful. Examines the fundamentals of wave propagation in anisotropic, anelastic and porous media Presents all equations and concepts necessary to understand the physics of wave propagation Emphasizes geophysics, particularly seismic exploration for hydrocarbon reservoirs, which is essential for the exploration and production of oil

Continuum Thermodynamics - Part I

Author : Krzysztof Wilmanski
Publisher : World Scientific
ISBN 13 : 9812835571
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics - Part I by : Krzysztof Wilmanski

Download or read book Continuum Thermodynamics - Part I written by Krzysztof Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models OCo ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts. The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Continuum Thermodynamics

Author : Wilmanski
Publisher : World Scientific
ISBN 13 : 9812835563
Total Pages : 416 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Continuum Thermodynamics by : Wilmanski

Download or read book Continuum Thermodynamics written by Wilmanski and published by World Scientific. This book was released on 2008 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique presentation of thermodynamic methods of construction of continuous models. It is based on a uniform approach following from the entropy inequality and using Lagrange multipliers as auxiliary quantities in its evaluation. It covers a wide range of models — ideal gases, thermoviscoelastic fluids, thermoelastic and thermoviscoelastic solids, plastic polycrystals, miscible and immiscible mixtures, and many others. The structure of phenomenological thermodynamics is justified by a systematic derivation from the Liouville equation, through the BBGKY-hierarchy-derived Boltzmann equation, to an extended thermodynamics. In order to simplify the reading, an extensive introduction to classical continuum mechanics and thermostatics is included. As a complementary volume to Part II, which will contain applications and examples, and to Part III, which will cover numerical methods, only a few simple examples are presented in this first Part. One exception is an extensive example of a linear poroelastic material because it will not appear in future Parts.The book is the first presentation of continuum thermodynamics in which foundations of continuum mechanics, microscopic foundations and transition to extended thermodynamics, applications of extended thermodynamics beyond ideal gases, and thermodynamic foundations of various material theories are exposed in a uniform and rational way. The book may serve both as a support for advanced courses as well as a desk reference.

Continuum Thermodynamics

Author :
Publisher :
ISBN 13 : 981446970X
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Continuum Thermodynamics by :

Download or read book Continuum Thermodynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fluid-Induced Seismicity

Author : Serge A. Shapiro
Publisher : Cambridge University Press
ISBN 13 : 131629806X
Total Pages : 299 pages
Book Rating : 4.3/5 (162 download)

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

Download or read book Fluid-Induced Seismicity written by Serge 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: The characterisation of fluid transport properties of rocks is one of the most important, yet difficult, challenges of reservoir geophysics, but is essential for optimal development of hydrocarbon and geothermal reservoirs. This book provides a quantitative introduction to the underlying physics, application, interpretation, and hazard aspects of fluid-induced seismicity with a particular focus on its spatio-temporal dynamics. It presents many real data examples of microseismic monitoring of hydraulic fracturing at hydrocarbon fields and of stimulations of enhanced geothermal systems. The author also covers introductory aspects of linear elasticity and poroelasticity theory, as well as elements of seismic rock physics and mechanics of earthquakes, enabling readers to develop a comprehensive understanding of the field. Fluid-Induced Seismicity is a valuable reference for researchers and graduate students working in the fields of geophysics, geology, geomechanics and petrophysics, and a practical guide for petroleum geoscientists and engineers working in the energy industry.