Non Linear Inverse Geothermal Problems
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Non Linear Inverse Geothermal Problems
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Author : Dennis Wokiyi
language : en
Publisher: Linköping University Electronic Press
Release Date : 2017-11-16
Non Linear Inverse Geothermal Problems written by Dennis Wokiyi and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-16 with categories.
The inverse geothermal problem consist of estimating the temperature distribution below the earth’s surface using temperature and heat-flux measurements on the earth’s surface. The problem is important since temperature governs a variety of the geological processes including formation of magmas, minerals, fosil fuels and also deformation of rocks. Mathematical this problem is formulated as a Cauchy problem for an non-linear elliptic equation and since the thermal properties of the rocks depend strongly on the temperature, the problem is non-linear. This problem is ill-posed in the sense that it does not satisfy atleast one of Hadamard’s definition of well-posedness. We formulated the problem as an ill-posed non-linear operator equation which is defined in terms of solving a well-posed boundary problem. We demonstrate existence of a unique solution to this well-posed problem and give stability estimates in appropriate function spaces. We show that the operator equation is well-defined in appropriate function spaces. Since the problem is ill-posed, regularization is needed to stabilize computations. We demostrate that Tikhonov regularization can be implemented efficiently for solving the operator equation. The algorithm is based on having a code for solving a well- posed problem related to the operator equation. In this study we demostrate that the algorithm works efficiently for 2D calculations but can also be modified to work for 3D calculations.
Handbook Of Terrestrial Heat Flow Density Determination
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Author : R. Haenel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Handbook Of Terrestrial Heat Flow Density Determination written by R. Haenel 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 Science categories.
There comes a time in the affairs of every organization when we have to sit down and take stock of where we are and where we want to go. When the International Heat Flow Committee (as it was first called), IHFC, was formed in 1963 at the San Francisco International Union of Geodesy and Geophysics with Francis Birch as its first Chairman, the principal purpose was to stimulate work in the basic aspects of geothermics, particularly the measurement of terrestrial heat-flow density (HFD) in what were then the 'geothermally underdeveloped' areas of the world. In this, the IHFC was remarkably successful. By the beginning of the second decade of our existence, interest in the economic aspects of geothermics was increasing at a rapid pace and the IHFC served as a conduit for all aspects of geothermics and, moreover, became the group responsi ble for collecting data on all types of HFD measurements. In all the tasks that are undertaken, the IHFC relies on the enthusiasm of its members and colleagues who devote much of their time to the important but unglamorous and personally unrewarding tasks that were asked of them, and we arc fortunate that our parent institutions are usually quite tolerant of the time spent by their employees on IHFC work.
Hydraulic Fracturing And Geothermal Energy
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Author : S. Nemat-Nassar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hydraulic Fracturing And Geothermal Energy written by S. Nemat-Nassar 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 Science categories.
Hydraulic fracturing has been and continues to be a major techno logical tool in oil and gas recovery, nuclear and other waste disposal, mining and particularly in-situ coal gasification, and, more recently, in geothermal heat recovery, particularly extracting heat from hot dry rock masses. The understanding of the fracture process under the ac tion of pressurized fluid at various temperatures is of fundamental scientific importance, which requires an adequate description of thermomechanical properties of subsurface rock, fluid-solid interaction effects, as well as degradation of the host rock due to temperature gradients introduced by heat extraction. Considerable progress has been made over the past several years in laboratory experiments, analytical and numerical modeling, and in-situ field studies in various aspects of hydraulic fracturing and geothermal energy extraction, by researchers in the United States and Japan and also elsewhere. However, the results have been scattered throughout the literature. Therefore, the time seemed ripe for bringing together selected researchers from the two countries, as well as observers from other countries, in order to survey the state of the art, exchange scientific information, and establish closer collaboration for further, better coordinated scientific effort in this important area of research and exploration.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1994
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Aeronautics categories.
Introduction To Petroleum Seismology Second Edition
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Author : Luc T. Ikelle
language : en
Publisher: SEG Books
Release Date : 2018-03-26
Introduction To Petroleum Seismology Second Edition written by Luc T. Ikelle and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-26 with Science categories.
Introduction to Petroleum Seismology, second edition (SEG Investigations in Geophysics Series No. 12) provides the theoretical and practical foundation for tackling present and future challenges of petroleum seismology especially those related to seismic survey designs, seismic data acquisition, seismic and EM modeling, seismic imaging, microseismicity, and reservoir characterization and monitoring. All of the chapters from the first edition have been improved and/or expanded. In addition, twelve new chapters have been added. These new chapters expand topics which were only alluded to in the first edition: sparsity representation, sparsity and nonlinear optimization, near-simultaneous multiple-shooting acquisition and processing, nonuniform wavefield sampling, automated modeling, elastic-electromagnetic mathematical equivalences, and microseismicity in the context of hydraulic fracturing. Another major modification in this edition is that each chapter contains analytical problems as well as computational problems. These problems include MatLab codes, which may help readers improve their understanding of and intuition about these materials. The comprehensiveness of this book makes it a suitable text for undergraduate and graduate courses that target geophysicists and engineers as well as a guide and reference work for researchers and professionals in academia and in the petroleum industry.
Introduction To The Numerical Modeling Of Groundwater And Geothermal Systems
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Author : Jochen Bundschuh
language : en
Publisher: CRC Press
Release Date : 2010-07-05
Introduction To The Numerical Modeling Of Groundwater And Geothermal Systems written by Jochen Bundschuh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-05 with Technology & Engineering categories.
This book provides an introduction to the scientific fundamentals of groundwater and geothermal systems. In a simple and didactic manner the different water and energy problems existing in deformable porous rocks are explained as well as the corresponding theories and the mathematical and numerical tools that lead to modeling and solving them. This
Shallow Geothermal Energy
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Author : Alejandro García Gil
language : en
Publisher: Springer Nature
Release Date : 2022-01-31
Shallow Geothermal Energy written by Alejandro García Gil and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-31 with Science categories.
This book is the outcome of more than a decade of research and technical development activities at Spain’s Geological Survey (IGME) concerning shallow geothermal energy, which were pursued in collaboration with other public bodies and European entities. It presents a compilation of papers on the theoretical foundations of, and practical aspects needed to understand the thermal regime of the topmost subsoil, up to 400 m deep, and the exceptional properties that this underground environment offers, which make it the ideal thermal reservoir for heating, ventilation, and air conditioning (HVAC). In the book’s first section, the basic theory of thermodynamics as applied to shallow geothermal energy, heat transfer and fluid mechanics in the geological porous medium is developed. The nature of the subsoil’s thermal regime in general and in the urban environment in particular is described. The second section introduces readers to the fundamental aspects of thermal installations equipped with geothermal heat pumps, describes the types of geothermal exchangers most commonly used, and reviews the techniques used to obtain the thermal parameters of the terrain. It also discusses the potential environmental impacts of shallow geothermal activity and corresponding management strategies, as well as the legal aspects of its regulation for the governance of shallow geothermal resources in the EU in general and Spain in particular. In closing, the book highlights examples of the methodologies’ applications, developed by IGME in the city of Zaragoza and the Canary Islands. The theoretical foundations, systematics and concrete applications make the book a valuable reference source for hydrogeologists, engineers and specialized technicians alike.
Theory And Practice Of Geophysical Data Inversion
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Author : Andreas Vogel
language : en
Publisher: Vieweg+Teubner Verlag
Release Date : 2012-12-06
Theory And Practice Of Geophysical Data Inversion written by Andreas Vogel and has been published by Vieweg+Teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The contributions to this volume cover a wide spectrum of recent developments in geophysical data inversion, including basic mathematics and general theory, numerical methods, as well as computer implementation of algorithms. Most of the papers are motivated by problems arising from geophysical research and applications both on a global scale and with respect to local geophysical surveys, underlining the increasing importance of geophysical exploration methods in various fields, such as structural geology, prospecting for mineral and energy resources, hydro geology, geotechnology, environmental protection and archaeology. The first section of the book deals with basic mathematics and general theory underlying geophysical data inversion. Papers presented here are concerned with stabilization algorithms to solve ill-posed inverse problems, sensitivity of kernel function estimations to random data errors and reduction of errors in inverse modelling of response functions by linear constraints, numerical procedures for approximating the solution to boundary value problems, accuracy and stability of inverse ill-posed problems constituted by problems of moments, and fast Fourier transforms for solving potential field problems. The second section contains papers on gravity and magnetics, dealing with the solvability of the inverse gravimetric problem for sources represented by point masses and other elementary, solution of the inverse problem in cases of nonuniformly distributed data as obtained by palaeomagnetic studies, satellite observations, and surface projections of buried archaeological targets by inverse filtering of geomagnetic data.
Geothermal Energy Update
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Author :
language : en
Publisher:
Release Date : 1976
Geothermal Energy Update written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Geothermal engineering categories.
Bayesian Theory And Applications
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Author : Paul Damien
language : en
Publisher: OUP Oxford
Release Date : 2013-01-24
Bayesian Theory And Applications written by Paul Damien and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-24 with Mathematics categories.
The development of hierarchical models and Markov chain Monte Carlo (MCMC) techniques forms one of the most profound advances in Bayesian analysis since the 1970s and provides the basis for advances in virtually all areas of applied and theoretical Bayesian statistics. This volume guides the reader along a statistical journey that begins with the basic structure of Bayesian theory, and then provides details on most of the past and present advances in this field. The book has a unique format. There is an explanatory chapter devoted to each conceptual advance followed by journal-style chapters that provide applications or further advances on the concept. Thus, the volume is both a textbook and a compendium of papers covering a vast range of topics. It is appropriate for a well-informed novice interested in understanding the basic approach, methods and recent applications. Because of its advanced chapters and recent work, it is also appropriate for a more mature reader interested in recent applications and developments, and who may be looking for ideas that could spawn new research. Hence, the audience for this unique book would likely include academicians/practitioners, and could likely be required reading for undergraduate and graduate students in statistics, medicine, engineering, scientific computation, business, psychology, bio-informatics, computational physics, graphical models, neural networks, geosciences, and public policy. The book honours the contributions of Sir Adrian F. M. Smith, one of the seminal Bayesian researchers, with his papers on hierarchical models, sequential Monte Carlo, and Markov chain Monte Carlo and his mentoring of numerous graduate students -the chapters are authored by prominent statisticians influenced by him. Bayesian Theory and Applications should serve the dual purpose of a reference book, and a textbook in Bayesian Statistics.