The Boundary Element Method In Geophysics

Author : Shi-zhe Xu
Publisher : SEG Books
Page : 233 pages
File Size : 40,5 Mb
Release : 2001
Category : Boundary element methods
ISBN : 9781560801054

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The Boundary Element Method in Geophysics by Shi-zhe Xu Pdf

The boundary element method (BEM) divides only the boundaries of the region under investigation into elements, so it diminishes the dimensionality of the problem, e.g., the 3D problem becomes a 2D problem, and the 2D problem becomes a 1D problem. This simplifies inputting the model into a computer and greatly reduces the number of algebraic equations. The advantage of this is even more evident for some 3D and infinite regional problems that often are encountered in geophysics. Originally published in China, this well-organized book is likely the most comprehensive work on the subject of solving applied geophysical problems. Basic mathematical principles are introduced in Chapter 1, followed by a general yet thorough discussion of BEM in Chapter 2. Chapters 3 through 7 introduce the applications of BEM to solve problems of potential-field continuation and transformation, gravity and magnetic anomalies modeling, electric resistivity and induced polarization field modeling, magnetotelluric modeling, and various seismic modeling problems. Finally, in Chapter 8, a brief discussion is provided on how to incorporate BEM and the finite-element method (FEM) together. In each chapter, detailed practical examples are given, and comparisons to both analytic and other numerical solutions are presented. This is an excellent book for numerically oriented geophysicists and for use as a textbook in numerical-analysis classes.

Author : Balgaisha Mukanova,Igor Modin
Publisher : Springer
Page : 154 pages
File Size : 45,9 Mb
Release : 2018-02-12
Category : Science
ISBN : 9783319729084

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The Boundary Element Method in Geophysical Survey by Balgaisha Mukanova,Igor Modin Pdf

This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC). Adaptive mesh generation algorithms and numerical methods for solving a system of integral equations are discussed. Integral equations for the media, which contains piecewise linear contact boundaries, immersed local inclusions, and subsurface relief, are derived and solved numerically. Both 2.5D and 3D models with ground surface relief are considered. For 2D conductivity distributions, the influence of the relief on the interpretation of results is shown. Search solutions of the direct problem with ground surface relief are compared using the appropriate interpretation of results based on different inversion programs.

Author : W.S. Hall,G. Oliveto
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 40,9 Mb
Release : 2007-05-08
Category : Technology & Engineering
ISBN : 9780306483875

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Boundary Element Methods for Soil-Structure Interaction by W.S. Hall,G. Oliveto Pdf

W S HALL School of Computing and Mathematics, University of Teesside, Middlesbrough, TS1 3BA UK G OLIVETO Division of Structural Engineering, Department of Civil and Environmental Engineering, University of Catania, Viale A. Doria 6, 95125 Catania, Italy Soil-Structure Interaction is a challenging multidisciplinary subject which covers several areas of Civil Engineering. Virtually every construction is connected to the ground and the interaction between the artefact and the foundation medium may affect considerably both the superstructure and the foundation soil. The Soil-Structure Interaction problem has become an important feature of Structural Engineering with the advent of massive constructions on soft soils such as nuclear power plants, concrete and earth dams. Buildings, bridges, tunnels and underground structures may also require particular attention to be given to the problems of Soil-Structure Interaction. Dynamic Soil-Structure Interaction is prominent in Earthquake Engineering problems. The complexity of the problem, due also to its multidisciplinary nature and to the fact of having to consider bounded and unbounded media of different mechanical characteristics, requires a numerical treatment for any application of engineering significance. The Boundary Element Method appears to be well suited to solve problems of Soil- Structure Interaction through its ability to discretize only the boundaries of complex and often unbounded geometries. Non-linear problems which often arise in Soil-Structure Interaction may also be treated advantageously by a judicious mix of Boundary and Finite Element discretizations.

Author : George D. Manolis,T. G. Davies
Publisher : Unknown
Page : 556 pages
File Size : 54,8 Mb
Release : 1993
Category : Boundary element methods
ISBN : PSU:000022610324

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Boundary Element Techniques in Geomechanics by George D. Manolis,T. G. Davies Pdf

Author : Yansheng Jiang
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 43,7 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783642839184

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Slope Analysis Using Boundary Elements by Yansheng Jiang Pdf

The aim of this book is to provide a new angle on the analysis of slope stability with the Boundary Element Method. The main advantages of BEM are the reduction of the dimensionality of the problem to be solved and accurate selective calculation of internal stresses. This makes it possible, as shown in the book, to develop the algorithms of slip surface analysis of slope more accurate, more rigorous and more easy to be used than in the conventional limit equilibrium methods. The full elastoplastic analysis of slope is also investigated. Besides, the interested reader can find a detailed study of Melan's fundamental solution such as its displacements, its corresponding Galerkin tensor and the treatment of body forces in the half-plan. The basic theory of BEM is outlined in the book so that undergraduate and graduate students of civil engineering, mining engineering and engineering geology can read it without difficulty.

Author : W.S. Venturini
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642820991

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Boundary Element Method in Geomechanics by W.S. Venturini Pdf

Numerical techniques for solving many problems in continuum mechanics have experienced a tremendous growth in the last twenty years due to the development of large high speed computers. In particular, geomechanical stress analysis can now be modelled within a more realistic context. In spite of the fact that many applications in geomechanics are still being carried out applying linear theories, soil and rock materials have been demonstrated experimentally to be physically nonlinear. Soils do not recover their initial state after removal of temporary loads and rock does not deform in proportion to the loads applied. The search for a unified theory to model the real response of these materials is impossible due to the complexities involved in each case. Realistic solutions in geomechanical analysis must be provided by considering that material properties vary from point to point, in addition to other significant features such as non-homogeneous media, in situ stress condition, type of loading, time effects and discontinuities. A possible alternative to tackle such a problem is to inttoduce some simplified assumptions which at least can provide an approximate solution in each case. The validity or accuracy of the final solution obtained is always dependent upon the approach adopted. As a consequence, the choice of a reliable theory for each particular problem is another difficult decision which should be 2 taken by the analyst in geomechanical stress analysis.

Author : C.A. Brebbia,P.W. Partridge
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 40,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401128766

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Boundary Elements in Fluid Dynamics by C.A. Brebbia,P.W. Partridge Pdf

This book Boundary Elements in Fluid Dynamics is the second volume of the two volume proceedings of the International Conference on Computer Modelling of Seas and Coastal Regions and Boundary Elements and Fluid Dynamics, held in Southampton, U.K., in April 1992. The Boundary Element Method (BEM) is now fully established as an ac curate and successful technique for solving engineering problems in a wide range of fields. The success of the method is due to its advantages in data reduction, as only the boundary of the region is modelled. Thus moving boundaries may be more easily handled, which is not the case if domain methods are used. In addition, the method is easily able to model regions to extending to infinity. Fluid mechanics is traditionally one of the most challenging areas of engi neering, the simulation of fluid motion, particularly in three dimensions, is always a serious test for any numerical method, and is an area in which BEM analysis may be used taking full advantage of its special characteris tics. The conference includes sections on turbomachinery, aerodynamics, viscous flow and turbulence models, and special flow situations. The organisers would like to thank the International Scientific Advisory Committee, the conference delegates and all of those who have actively supported the meet ing.

Author : J.C.F. Telles
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 52,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642455629

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The Boundary Element Method Applied to Inelastic Problems by J.C.F. Telles Pdf

Author : C. A. Brebbia
Publisher : Unknown
Page : 208 pages
File Size : 48,9 Mb
Release : 1984
Category : Mathematics
ISBN : STANFORD:36105030607423

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The Boundary Element Method for Engineers by C. A. Brebbia Pdf

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 1983
Category : Electronic
ISBN : OCLC:934891493

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Boundary Element Methods in Solid Mechanics by Anonim Pdf

Author : M H Aliabadi,P H Wen
Publisher : World Scientific
Page : 412 pages
File Size : 45,5 Mb
Release : 2010-11-25
Category : Technology & Engineering
ISBN : 9781908977977

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Boundary Element Methods in Engineering and Sciences by M H Aliabadi,P H Wen Pdf

The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique which has enjoyed increasing popularity over the past two decades. It is now an established alternative to traditional computational methods of engineering analysis. The main advantage of the BEM is its unique ability to provide a complete solution in terms of boundary values only, with substantial savings in modeling effort. This book is designed to provide readers with a comprehensive and up-to-date account of the method and its application to problems in engineering and science. Each chapter provides a brief description of historical development, followed by basic theory, derivation and examples. Contents:The Boundary Element Method for Geometrically Nonlinear Analyses of Plates and Shells (P H Wen et al.)Time-Domain BEM Techniques (W J Mansur et al.)The Boundary Element Method for the Fracture Analysis of the General Piezoelectric Solids (M Denda)Boundary Integral Analysis for Three-Dimensional Exponentially Graded Elasticity (J E Ortiz et al.)Fast Hierarchical Boundary Element Method for Large Scale 3-D Elastic Problems (I Benedetti et al.)Modelling of Plates and Shallow Shells by Meshless Local Integral Equation Method (J Sladek et al.)Boundary Element Technique for Slow Viscous Flows About Particles (A Sellier)BIT for Free Surface Flows (G Baker)Simulation of Cavitating and Free Surface Flows using BEM (S A Kinnas)Condition Numbers and Local Errors in the Boundary Element Method (W Dijkstra et al.) Readership: Graduate students, academics and researchers in engineering mechanics, materials engineering, mechanical engineering, and software engineering/programming. Keywords:Boundary Element Method (BEM);Boundary Equation Method (BIEM)Key Features:The book will provide a comprehensive presentation of the BEM from fundamentals to advanced engineering applications and encompasses: solids and structures; heat transfer; fluid dynamics; and acousticsIt will also include chapters dealing specifically with mathematical and computational aspects of the method

Author : O.P. Gupta
Publisher : Routledge
Page : 496 pages
File Size : 43,9 Mb
Release : 2022-03-23
Category : Technology & Engineering
ISBN : 9781351448642

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Finite and Boundary Element Methods in Engineering by O.P. Gupta Pdf

The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas.

Author : P. K. Banerjee,Prasanta Kumar Banerjee,Roy Butterfield
Publisher : McGraw-Hill (UK)
Page : 476 pages
File Size : 49,7 Mb
Release : 1981
Category : Mathematics
ISBN : UOM:39015003730762

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Boundary Element Methods in Engineering Science by P. K. Banerjee,Prasanta Kumar Banerjee,Roy Butterfield Pdf

Author : D. E. Beskos
Publisher : Unknown
Page : 360 pages
File Size : 48,6 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015013848265

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Boundary Element Methods in Structural Analysis by D. E. Beskos Pdf

Author : John T. Katsikadelis
Publisher : Academic Press is
Page : 465 pages
File Size : 54,7 Mb
Release : 2016
Category : Electronic
ISBN : 0128019239

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The Boundary Element Method for Engineers and Scientists by John T. Katsikadelis Pdf