A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs
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A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs
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Author : Matthias Albert Augustin
language : en
Publisher: Birkhäuser
Release Date : 2015-07-15
A Method Of Fundamental Solutions In Poroelasticity To Model The Stress Field In Geothermal Reservoirs written by Matthias Albert Augustin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Mathematics categories.
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.
Exploratory Potential Methods In Geothermal Power Generation
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Author : Willi Freeden
language : en
Publisher: Springer Nature
Release Date : 2024-04-10
Exploratory Potential Methods In Geothermal Power Generation written by Willi Freeden and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Mathematics categories.
The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise gravitational/magnetic measurements. It is dedicated to surface and deep geology with potential data primarily of terrestrial origin. The book spans the interdisciplinary arc from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back again. It presents the recently published pioneering and groundbreaking multiscale mollifier methodologies realizing the bridging transfer from gravitational/magnetic measurements to approximative/numerical mollifier wavelet decorrelations with novel geologic prospects and layer-structure determination as outcome. Using the specific example of the German Saarland region, new important fields of application, especially for areas with mining-related cavities, will be opened up and subjected to an in-depth geologic detection.
Poroelasticity
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Author : Alexander H.-D. Cheng
language : en
Publisher: Springer
Release Date : 2016-04-20
Poroelasticity written by Alexander H.-D. Cheng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-20 with Science categories.
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.
Potential Method In Mathematical Theories Of Multi Porosity Media
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Author : Merab Svanadze
language : en
Publisher: Springer Nature
Release Date : 2019-11-01
Potential Method In Mathematical Theories Of Multi Porosity Media written by Merab Svanadze and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
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.
Spherical Functions Of Mathematical Geosciences
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Author : Willi Freeden
language : en
Publisher: Springer Nature
Release Date : 2022-10-14
Spherical Functions Of Mathematical Geosciences written by Willi Freeden and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-14 with Science categories.
This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.
An Invitation To Geomathematics
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Author : Willi Freeden
language : en
Publisher: Springer
Release Date : 2019-05-17
An Invitation To Geomathematics written by Willi Freeden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-17 with Mathematics categories.
The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given.
Handbuch Tiefe Geothermie
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Author : Mathias Bauer
language : de
Publisher: Springer-Verlag
Release Date : 2014-06-24
Handbuch Tiefe Geothermie written by Mathias Bauer and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-24 with Science categories.
Das vorliegende Handbuch stellt erstmalig in deutscher Sprache umfassend alle Themen im Bereich Tiefe Geothermie vor: Prospektion, Exploration, Realisierung und Nutzung. In zwei abschließenden Kapiteln werden Zukunft und Perspektiven von Tiefer Geothermie vorgestellt und diskutiert. Die von anerkannten Spezialisten verfassten Artikel sind so konzipiert und geschrieben, dass alle an der Konzeption und Erschließung tiefengeothermischer Ressourcen Beteiligten einen direkten Nutzen für ihre Arbeit daraus ziehen können.
Journal Of Engineering Mechanics
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Author :
language : en
Publisher:
Release Date : 2006
Journal Of Engineering Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mechanics, Applied categories.
Advanced Modelling With The Matlab Reservoir Simulation Toolbox
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Author : Knut-Andreas Lie
language : en
Publisher: Cambridge University Press
Release Date : 2021-11-25
Advanced Modelling With The Matlab Reservoir Simulation Toolbox written by Knut-Andreas Lie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-25 with Business & Economics categories.
Presents advanced reservoir simulation methods used in the widely-used MRST open-source software for researchers, professionals, students.
Computational Mechanics
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Author : Zhenhan Yao
language : en
Publisher: 清华大学出版社有限公司
Release Date : 2004
Computational Mechanics written by Zhenhan Yao and has been published by 清华大学出版社有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Engineering design categories.