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 : 245 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 245 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.

Exploratory Potential Methods in Geothermal Power Generation

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Publisher : Springer Nature
ISBN 13 : 3031544129
Total Pages : 224 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Exploratory Potential Methods in Geothermal Power Generation by : Willi Freeden

Download or read book Exploratory Potential Methods in Geothermal Power Generation written by Willi Freeden and published by Springer Nature. This book was released on 2024 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer
ISBN 13 : 331925202X
Total Pages : 893 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 893 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.

Potential Method in Mathematical Theories of Multi-Porosity Media

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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.

Spherical Functions of Mathematical Geosciences

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Publisher : Springer Nature
ISBN 13 : 3662656922
Total Pages : 729 pages
Book Rating : 4.6/5 (626 download)

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Book Synopsis Spherical Functions of Mathematical Geosciences by : Willi Freeden

Download or read book Spherical Functions of Mathematical Geosciences written by Willi Freeden and published by Springer Nature. This book was released on 2022 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : Springer
ISBN 13 : 3030130541
Total Pages : 129 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Invitation to Geomathematics by : Willi Freeden

Download or read book An Invitation to Geomathematics written by Willi Freeden and published by Springer. This book was released on 2019-05-17 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Thermo-poroelastic Modeling of Reservoir Stimulation and Microseismicity Using Finite Element Method with Damage Mechanics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (815 download)

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Book Synopsis Thermo-poroelastic Modeling of Reservoir Stimulation and Microseismicity Using Finite Element Method with Damage Mechanics by : Sang Hoon Lee

Download or read book Thermo-poroelastic Modeling of Reservoir Stimulation and Microseismicity Using Finite Element Method with Damage Mechanics written by Sang Hoon Lee and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress and permeability variations around a wellbore and in the reservoir are of much interest in petroleum and geothermal reservoir development. Water injection causes significant changes in pore pressure, temperature, and stress in hot reservoirs, changing rock permeability. In this work, two- and three-dimensional finite element methods were developed to simulate coupled reservoirs with damage mechanics and stress-dependent permeability. The model considers the influence of fluid flow, temperature, and solute transport in rock deformation and models nonlinear behavior with continuum damage mechanics and stress-dependent permeability. Numerical modeling was applied to analyze wellbore stability in swelling shale with two- and three-dimensional damage/fracture propagation around a wellbore and injection-induced microseismic events. The finite element method (FEM) was used to solve the displacement, pore pressure, temperature, and solute concentration problems. Solute mass transport between drilling fluid and shale formation was considered to study salinity effects. Results show that shear and tensile failure can occur around a wellbore in certain drilling conditions where the mud pressure lies between the reservoir pore pressure and fracture gradient. The fully coupled thermo-poro-mechanical FEM simulation was used to model damage/fracture propagation and microseismic events caused by fluid injection. These studies considered wellbore geometry in small-scale modeling and point-source injection, assuming singularity fluid flux for large-scale simulation. Damage mechanics was applied to capture the effects of crack initiation, microvoid growth, and fracture propagation. The induced microseismic events were modeled in heterogeneous geological media, assuming the Weibull distribution functions for modulus and permeability. The results of this study indicate that fluid injection causes the effective stress to relax in the damage phase and to concentrate at the interface between the damage phase and the intact rock. Furthermore, induced-stress and far-field stress influence damage propagation. Cold water injection causes the tensile stress and affects the initial fracture and fracture propagation, but fracture initiation pressure and far-field stress are critical to create a damage/fracture plane, which is normal to the minimum far-field stress direction following well stimulation. Microseismic events propagate at both well scale and reservoir-scale simulation; the cloud shape of a microseismic event is affected by permeability anisotropy and far-field stress, and deviatoric horizontal far-field stress especially contributes to the localization of the microseismic cloud.

Journal of Engineering Mechanics

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Journal of Engineering Mechanics by :

Download or read book Journal of Engineering Mechanics written by and published by . This book was released on 2006 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Modeling with the MATLAB Reservoir Simulation Toolbox

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Publisher : Cambridge University Press
ISBN 13 : 1009022490
Total Pages : 625 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Advanced Modeling with the MATLAB Reservoir Simulation Toolbox by : Knut-Andreas Lie

Download or read book Advanced Modeling with the MATLAB Reservoir Simulation Toolbox written by Knut-Andreas Lie and published by Cambridge University Press. This book was released on 2021-11-25 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many leading experts contribute to this follow-up to An Introduction to Reservoir Simulation using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST). It introduces more advanced functionality that has been recently added to the open-source MRST software. It is however a self-contained introduction to a variety of modern numerical methods for simulating multiphase flow in porous media, with applications to geothermal energy, chemical enhanced oil recovery (EOR), flow in fractured and unconventional reservoirs, and in the unsaturated zone. The reader will learn how to implement new models and algorithms in a robust, efficient manner. A large number of numerical examples are included, all fully equipped with code and data so that the reader can reproduce the results and use them as a starting point for their own work. Like the original textbook, this book will prove invaluable for researchers, professionals and advanced students using reservoir simulation methods. This title is available as Open Access on Cambridge Core.

Applied Mechanics of Solids

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Publisher : CRC Press
ISBN 13 : 1439802483
Total Pages : 820 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applied Mechanics of Solids by : Allan F. Bower

Download or read book Applied Mechanics of Solids written by Allan F. Bower and published by CRC Press. This book was released on 2009-10-05 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require users to have a solid understanding of the fundamental principles on which they are based.Develop Intuitive Ability to Identify and Avoid Physically Meaningless PredictionsApplied Mechanics o

Computational Mechanics

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Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302093428
Total Pages : 608 pages
Book Rating : 4.0/5 (934 download)

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Book Synopsis Computational Mechanics by : Zhenhan Yao

Download or read book Computational Mechanics written by Zhenhan Yao and published by 清华大学出版社有限公司. This book was released on 2004 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Petroleum Abstracts

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Publisher :
ISBN 13 :
Total Pages : 1512 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Petroleum Abstracts by :

Download or read book Petroleum Abstracts written by and published by . This book was released on 1991 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Fluid Dynamics in Complex Fractured-Porous Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1118877225
Total Pages : 262 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Fluid Dynamics in Complex Fractured-Porous Systems by : Boris Faybishenko

Download or read book Fluid Dynamics in Complex Fractured-Porous Systems written by Boris Faybishenko and published by John Wiley & Sons. This book was released on 2015-06-15 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite of many years of studies, predicting fluid flow, heat, and chemical transport in fractured-porous media remains a challenge for scientists and engineers worldwide. This monograph is the third in a series on the dynamics of fluids and transport in fractured rock published by the American Geophysical Union (Geophysical Monograph Series, Vol. 162, 2005; and Geophysical Monograph, No. 122, 2000). This monograph is dedicated to the late Dr. Paul Witherspoon for his seminal influence on the development of ideas and methodologies and the birth of contemporary fractured rock hydrogeology, including such fundamental and applied problems as environmental remediation; exploitation of oil, gas, and geothermal resources; disposal of spent nuclear fuel; and geotechnical engineering. This monograph addresses fundamental and applied scientific questions and is intended to assist scientists and practitioners bridge gaps in the current scientific knowledge in the areas of theoretical fluids dynamics, field measurements, and experiments for different practical applications. Readers of this book will include researchers, engineers, and professionals within academia, Federal agencies, and industry, as well as graduate/undergraduate students involved in theoretical, experimental, and numerical modeling studies of fluid dynamics and reactive chemical transport in the unsaturated and saturated zones, including studies pertaining to petroleum and geothermal reservoirs, environmental management and remediation, mining, gas storage, and radioactive waste isolation in underground repositories. Volume highlights include discussions of the following: Fundamentals of using a complex systems approach to describe flow and transport in fractured-porous media. Methods of Field Measurements and Experiments Collective behavior and emergent properties of complex fractured rock systems Connection to the surrounding environment Multi-disciplinary research for different applications

Land Subsidence Analysis in Urban Areas

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Publisher : Springer Science & Business Media
ISBN 13 : 9400755066
Total Pages : 321 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Land Subsidence Analysis in Urban Areas by : David G. Zeitoun

Download or read book Land Subsidence Analysis in Urban Areas written by David G. Zeitoun and published by Springer Science & Business Media. This book was released on 2013-01-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cities built on unconsolidated sediments consisting of clays, silt, peat, and sand, are particularly susceptible to subsidence. Such regions are common in delta areas, where rivers empty into the oceans, along flood plains adjacent to rivers, and in coastal marsh lands. Building cities in such areas aggravates the problem for several reasons: 1. Construction of buildings and streets adds weight to the region causing additional soil deformations. 2. Often the regions have to be drained in order to be occupied. This results in lowering of the water table and leads to hydro-compaction. 3. Often the groundwater is used as a source of water for both human consumption and industrial use. 4. Levees and dams are often built to prevent or control flooding. Earth fissures caused by ground failure in areas of uneven or differential compaction have damaged buildings, roads and highways, railroads, flood-control structures and sewer lines. As emphasized by Barends , "in order to develop a legal framework to claims and litigation, it is essential that direct and indirect causes of land subsidence effects can be quantified with sufficient accuracy from a technical and scientific point of view." Most existing methods and software applications treat the subsidence problem by analyzing one of the causes. This is due to the fact that the causes appear at different spatial scales. For example, over-pumping creates large scale subsidence, while building loading creates local subsidence/consolidation only. Then, maximum permissible land subsidence (or consolidation) is a constraint in different management problems such as: groundwater management, planning of town and/or laws on building construction. It is, therefore, necessary to quantify the contribution of each cause to soil subsidence of the ground surface in cities urban area. In this text book, we present an engineering approach based on the Biot system of equations to predict the soil settlement due to subsidence, resulting from different causes. Also we present a case study of The Bangkok Metropolitan Area (BMA).

Applied mechanics reviews

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: