THE POLARIZATION METHOD OF SEISMIC EXPLORATION
|
|
- Betty Fox
- 5 years ago
- Views:
Transcription
1 THE POLARIZATION METHOD OF SEISMIC EXPLORATION
2 SOLID EARTH SCIENCES LIBRARY Editorial Advisory Board: A. J. ANDERSON, Uppsala, Sweden K. LAM BECK, Canberra, Australia K. J. MULLER, Bonn, F.R.G. V. R. MURTHY,Minneapolis, U.S.A. A. J. NALDRETT, Toronto, Canada R. C. SELLEY, Dorking, u.k. R. VAN DER VOO,AnnArbor, U.S.A. N. J. VLAAR, Utrecht, The Netherlands
3 THE POLARIZATION METHOD OF SEISMIC EXPLORATION E. 1. GAL'PERIN Academy of Sciences of the USSR, Institute of Earth Physics, Moscow D. REIDEL PUBLISHING COMPANY A MEMBER OF THE KLUWER ACADEMIC PUBLISHERS GROUP DORDRECHT/BOSTON/LANCASTER
4 Library of Congress Cataloging in Publication Data Gal'perin, E. I. (Evsef Iosifovich), The polarization method of seismic exploration (Solid earth sciences library) Translation of: PolRuizafsionnyT metod setsmicheskikh issledovanit Includes bibliographical references and index. 1. Seismic waves. 2. Seismic reflection method. I. Title. II. Series. QE538.5.G ' ISBN-13: e-isbn-13: DOl: / Translated from the 1977 edition of PoZiarisatsionnij metod seismicheskikh issledovanij, Nedra, Moscow, by B. Kuznetsov and M. Samokhvalov Published by D. Reidel Publishing Company P.O. Box 17,3300 AA Dordrecht, Holland Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 190 Old Derby Street, Hingham, MA 02043, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland. All Rights Reserved 1984 by D. Reidel Publishing Company, Dordrecht, Holland Softcover reprint of the hardcover 1st edition 1984 No part of the material protected by this copyright notice may be reproduced in whole or in part or utilized in any form or by any means electronic or mechanical including photocopying recording or storing in any electronic information system without first obtaining the written permission of the copyright owner.
5 To Grigorii Aleksandrovich Gamburtzev, Member of the Academy of Sciences o/the USSR
6 TABLE OF CONTENTS PREFACE TO THE ENGLISH EDITION INTRODUCTION ix xii CHAPTER 1: PHYSICAL AND GEOLOGICAL FOUNDATIONS OF THE POLARIZATION METHOD 1 Physical Premises for Increasing the Efficiency of Seismic Methods Used in the Study of Media with Complex Structures 1 General Information on the Polarization of Seismic Waves 9 Brief Review of Papers Dealing with the Study of Polarization of Seismic Waves 13 Selected Results from the Theory of Harmonic Oscillations 20 Stereographic Projections 26 Controlled Directional Reception Based on Displacement Directions (CDR-I) 31 Polarization Filtering 37 Methods of Representing Trajectories of Particle Motion 40 CHAPTER 2: INSTRUMENTATION FOR THREE-COMPONENT OBSER- VATIONS USING THE POLARIZATION METHOD 49 Three-Component Sets 49 Making Multi-Component Polar Seismograms 54 Instrumentation and Methods for Producing Oriented Records 66 Fixed- and Tracking-Components Block 74 Equipment for Three-Component Observations and Data Processing Used in Seismic Prospecting 76 CHAPTER 3: POLAR CORRELATION OF SEISMIC WAVES 80 Derivation of Equations for Line-Ups and Amplitudes of Elliptically-Polarized Oscillations 81 Analysis of Equations for Line-Ups and Amplitudes of Linearly-Polarized Waves 85 Analysis of Equations for Line-Ups and Amplitudes of Elliptically-Polarized Waves 90 Plotting Polar Seismograms 101 Determination of Parameters of Linearly-Polarized Oscillations 105 Determination of Parameters of Elliptically- and Multiply-Polarized Waves 115 vii
7 viii TABLE OF CONTENTS CHAPTER 4: APPLICATION OF SEISMIC-WAVE POLAR CORRELA TION 125 Polarization of Explosion-Induced Direct P and S Waves 125 Polarization of Direct Shear and Other Waves Induced by Weak Local Earthquakes 132 Polar Correlation of Transmitted Converted Waves Induced by Distant Earthquakes 137 Use of Polar Correlation in Studies Concerned with the Effect of Observation Conditions on the Shape of Wave Records 154 CHAPTER 5: POLARIZATION-POSITION CORRELATION (PPC) OF SEISMIC WAVES 158 An Outline ofppc 158 Practical Procedure for PPC 168 Use of PPC in Seismic Prospecting for Ores 173 Use ofppc in Seismic Prospecting for Oil 182 Use of PPC in Establishing Continuity for Converted PS Waves Resulting from Distant Earthquakes 199 CHAPTER 6: STUDY OF MEDIA ON THE BASIS OF SEISMIC WAVE POLARIZATION 203 Effect of Low-Velocity Layers (LVL) on Wave Polarization 203 Study of Particle Displacement in a Vertical Plane 212 Location of the Boundary Position from Transmitted Waves in VSP 227 Locating the Position of the Boundary from Converted Transmitted Waves in Surface Observations 239 Locating the Position of a Refracting Boundary from the Polarization of Compressional Waves 241 CONCLUSION 247 REFERENCES 251 APPENDIX - GLOSSARY 259 INDEX OF SUBJECTS 265 INDEX OF NAMES 268
8 PREF ACE TO THE ENGLISH EDITION Five years have elapsed since this book was first published in Russian. Year after year geological practice poses increasingly difficult and variegated problems to be solved by seismic investigations not only in the field of oil and ore geology, but also in the field of seismology and prospecting. The major goal in seismic exploration at present is the transition from structural studies to direct studies of material composition. However, the potentialities of seismic methods fail to satisfy newly arising problems. This - to an appreciable extent - is the outcome of a scalar approach to the analysis of the wave field which is essentially a vector field, such an analysis being typical of modern seismic exploration. Because of such an approach, every type of wave employed in seismic studies requires its own 'personal' method (the method of longitudinal reflected waves, the method of transverse reflected waves, the method of converted reflected waves, the method of refracted waves, the method of converted transmitted waves, etc). In the course of field work, for each method an oscillation component peculiar to the method is recorded fixed in space (the vertical component for the longitudinal waves and the horizontal X and Y components for the transverse waves), and the analysis of wave fields is executed chiefly by distinguishing the waves according to two parameters: the frequency and the apparent velocity. The immense volume of vertical seismic profiling carried out in the last decade has enabled the mode of propagation of seismic waves in media with greatly varying structures to be studied. The results of such studies have demonstrated in particular that for a substantial improvement of the effectiveness of seismic studies it is advisable to go over from the scalar analysis of the wave field to vector analysis. Studies along these lines have led to the creation of a general polarization method of seismic studies. The generality and the effectiveness of the polarization method (PM) follow from its features: - all the parameters of a complex wave field are utilized for its analysis, including the polarization; - the vector analysis of the wave field enables waves of various types, irrespective of their velocity, propagation direction and polarization, to be discriminated and tracked; - longitudinal, converted and transverse waves are utilized simultaneously to gain information about the Earth, this being the chief prerequisite for the study of its material composition and for predicting its cross-section; - the method is applicable to all seismic studies both up- and downhole. In the space of five years since the publication of the Russian edition of this book, great experience in the application of PM for the solution of all sorts of problems in ix
9 x PREFACE TO THE ENGLISH EDITION variegated seismological conditions has been accumulated. The method has been developed further in two main directions: - the perfection of the techniques and equipment of three-component field studies incorporating a continuous control of the identity of equipment both in deep boreholes and on the surface; - the creation of efficient and straightforward software for the automatic processing of PM data. Whereas the early stages of development of the method have been conspicuous chiefly by the use of polarization for the discrimination of the wave field, in recent years the emphasis shifts to the use of polarization parameters to obtain additional information about the Earth. This is especially important, as the polarization parameters are very sensitive to inhomogeneities in cross-section and enable those parameters of the Earth to be studies which cannot be obtained from kinematics. Here one should especially mention the polarization of transverse waves, which can act as one of the most reliable parameters for identifying and studying anisotropic properties of the Earth. At present various modifications of PM are being developed applicable both to uphole - (PM RW = reflected waves method, PM CDP = common-depth-point method, PM refracted-wave method, PM of regional studies utilizing earthquakes) and to downhole observations (PM VSP = vertical seismic profiling). Not all the PM modifications are developing at the same rate. The method which has up to now been developed most extensively is PM VSP. PM VSP has combined all kinds of downhole observations in the frequency band utilized in seismic exploration and has become the foundation of a new trend in seismic exploration; that of production seismics, i.e. of seismic studies at the stages of the exploration and exploitation of fields. The efficiency and the effect of production seismics on the economy is determined by the opportunity it offers for substantial cuts in the volume of deep drilling required for the exploration of every field. The most fundamental result of recent years, in the author's opinion, however, is that it has been possible to overcome the psychological barrier that arises every time the specialists are confronted with some new parameters, especially with such a parameter of the wave field as the polarization of oscillations. The great exploratory potentialities and the high economic efficiency of PM have attracted the attention of a wide specialist audience. This was particularly noticeable during the course of a seminar conducted by the author (October, 1978, Bartlesville, Oklahoma, USA) and the author's report to the 49th Meeting of the International Society of Exploration GeophYSicists (New Orleans, November, 1979). Despite the fact that not all the principal potentialities of the method have been fully exploited, the results already obtained are proof of its good prospects. There is no doubt that, as the method and first of all the software for its processing, are progressively developed, its efficiency will improve continuously, and new opportunities may emerge that are hard to foresee at present. This justifies the generous fmancing of work aimed at testing and developing the method. We can already advise that the method be used extensively in all kinds of VSP observations. In uphole observations it is advisable to
10 PREFACE TO THE ENGLISH EDITION xi test the method in the studies of the material composition, as well as in the studies of complex media in various seismic and geologic situations where the effectiveness of the traditional methods is low. The methods of analog processing described in this book should enable the reader to evolve a three-dimensional image required for a clear understanding of the results of digital data processing. Since we are dealing with a method which is totally new for seismic exploration, we have deemed it advisable to append a glossary of terms so as to guarantee unambiguous understanding of the many new terms that have had to be introduced during the course of the development of the method. We are convinced that the subsequent development of seismic exploration will be associated with three-component recording and with a vector analysis of the wave field, i.e. with a transition to the polarization method. And we hope that the present book will encourage such a transition. The author expresses his gratitude in advance for any remarks and advice the readers may care to provide when they become familiar with the book and employ the polarization method.
11 INTRODUCTION At present, the most important problem in seismic prospecting is the need to increase the depth range and the efficiency of methods employed in the study of media with complex structures. In addition to this structural problem, there is another of great importance, which is the need for methods of studying the material composition of a section in such a manner that would enable forecasts to be made. Although in recent years, thanks to the introduction of systems-coverage techniques employing multichannel and computer data-processing, great progress has been achieved in increasing penetration, the efficiency of seismic prospecting in complex media is still low. This primarily applies to media with steep interfaces: salt domes, reefs, fracture zones in oil geology; intensely deformed media (intrusions, veins and dykes) in ore regions. Areas with such a structure with good prospects for oil and gas have not been adequately studied in traditional oilproducing provinces. Because of the complexity of geological structure, the efficiency of seismic methods of prospecting for ores still remains very low, and the growth of seismic prospecting studies in ore geology is extremely slow. The efficiency of seismic prospecting is at present, as it has been during all the preceding stages of its development, determined mainly by the facilities available for the analysis of complex wave fields observed in the Earth itself. The development of such facilities led to gradual simplification of the recorded wave field through selection of oscillations based on their various characteristics. Frequency discrimination and phase correlation of the waves resulted in the development of the method of reflected waves which made seismic prospecting the leading method of geophysical prospecting for oil and gas. The discrimination of waves according to the direction of their propagation (or their apparent velocities) combined with gradual improvements in selectivity [(pattern techniques, controlled directional reception (CDR), common depth point method (CDP)], has been the principal method of increasing the efficiency of seismic studies for over 40 years. Consequently, the possibilities of modern seismic prospecting are based on the utilization of discrimination mainly based on two parameters (the frequency and the direction of propagation). The introduction of an additional independent parameter would be expected greatly to increase the efficiency of analysis of complex wave fields and therefore of seismic prospecting of complex media. The polarization of seismic waves constitutes such a parameter. In contrast to optics and radar, where the polarization of oscillations has been extensively studied and has for a long time been in wide use, there has been little application of polarization of seismic waves in seismology, and the extent to which it has been studied is inadequate. Of the two groups of parameters that defme the wave field and are associated with the direction of motion of particles of the medium during the passage of waves through a xii
12 INTRODUCTION xiii point (directional characteristions of the first type) and with the direction of propagation of the wave in space (directional characteristics of the second type), only those of the latter group have been used, their application being limited to planar (as distinct from spatial) problems. Despite the fact that all problems in seismic prospecting are essentially spatial, three-dimensional analysis of wave fields has been practically non-existent. It seems necessary to supplement the traditional 'line-plane' scheme in three-dimensional analysis of wave fields by two geometrical elements ('point' and 'space'). Research carried out in this direction at the Institute of Earth Physics of the Academy of Sciences of the USSR (IEP AS USSR) created the polarization method (PM) of seismic studies based on the combination of discrimination of waves at a point, related to the type of polarization of oscillations at this point, and discrimination, according to the direction of propagation of the wave, that is, the combination of systems of observations of the frrst and second types. Methodologically, this trend corresponds to the combination of three-component observations at a point with three-dimensional observations in space. Initially, the main attention was focused on the three-dimensional analysis of waves at a point, that is, on the study of polarization of oscillations in seismic waves, which is one of the most sensitive elements of the wave field. The nature of polarization of oscillations is such that it requires three-dimensional analysis. In developing methods of analysis of the wave field at a point the same principles have been applied as form the basis of seismic prospecting (correlation methods and wave discrimination). This led to the formulation of two methods of analysis of oscillations at a point [polarization correlation and controlled directional reception based on the directions of particle displacement (CDR-I)]. The addition of discrimination according to the type of polarization of oscillations to the two former methods of wave discrimination based on their frequency and direction of propagation will probably mark the beginning of a new stage in the evolution of seismic prospecting in complex media. For the analysis of complex wave fields, the polarization method employs polarization-position correlation (ppc) in which the components to be separated and tracked are not some fixed components (e.g., vertical components), but tracking (optimum) components characterized by maximum signal-to-noise ratio. PPC enables the regular waves to be separated and tracked, no matter what their polarization and velocities of propagation are. Therefore, in contrast to traditional methods which make use of waves of one definite type (e.g., the method of longitudinal reflected waves or of transverse reflected waves, etc.), PM simultaneously makes use of longitudinal and transverse waves excited by conventional sources, as well as secondary waves appearing in the medium (reflected and refracted waves, longitudinal, transverse, and converted waves). This, besides improving facilities for the solution of structural problems, opens up new prospects for the study of the material composition of a section. For this reason PM may turn out to be effective not only in regions with a complex geological structure, but also in such regions, where structural problems are being successfully tackled with the aid of the method of longitudinal waves. The current literature contains scanty information on the polarization of seismic waves. There are only a few discrete papers dealing with individual problems involving the polarization of seismic waves. Since the polarization method is beginning to have wide application in practical prospecting, the author felt it necessary in this first monograph dealing with the method to present a systematic account of the available information
13 xiv INTRODUCTION on the study of polarization, and to dwell upon some general aspects connected with the polarization of oscillations, the methods of studying it, and of representing the results. Although the waves observed in seismology and seismic prospecting are of a finite duration (Le. they are a combination of monochromatic waves with different periods), the entire theoretical background for studying the nature of oscillations, including polar correlation, has been presented in the form applicable to monochromatic waves. TIlis has been done for the sake of simplicity and clearer understanding, and also because it is the author's impression that the experience accumulated in the course of experimental studies of the polarization of seismic oscillations supports the conclusion that the results obtained in the theory of monochromatic oscillations are applicable, at least in the first approximation, to waves actually observed in seismic studies. It should also be kept in mind that the general information on polarization of seismic waves presented herein is meant to apply as a rule only to isotropic media. TIlis publication contains the results of studies carried out under the direction of the author mainly at IEP AS USSR, as well as at other institutions. The major part of the work has been carried out by G. I. Aksenovich, R. M. Gal'perina, A. V. Frolova (IEP AS USSR), M. S. Erenburg (Soyuzgeofizika), L. A. Pevsner, R. N. Khairutdinov, V. L. Pokidov, T. G. Chastnaya (Kaz VIRG), Yu. D. Mirzoyan, and V. S. Starodvorsky ('Krasnodarneftegeofizika'). Not all the aspects of the polarization method have been developed to an equally advanced stage, which was bound to affect the contents of the book. 1 Although the processing of a substantial part of the data pertaining to the polarization method is currently performed by digital computers, the author deemed it advisable to consider methods of processing by analog computers, because this is important not only for rapid evaluation of the quality of the data and for supervising digital processing, but also for the understanding of physical sense and for interpretation of the results. Data obtained in observations made on the oilfields of the Northeastern Cis-caucasian region (IEP AS USSR in collaboration with 'Krasnodarneftegeofizika') and on the ore deposits of Central Kazakhstan (IEP AS USSR in collaboration with Kaz VIRG) and the information from regional studies utilizing blasts and earthquakes, serve to illustrate the efficiency of the method. 1 I consider it my pleasant duty to express gratitude to I. I. Gurvich and G. I. Petrashen for their suggestions and remarks made in the course of discussions of various stages of the research program and especially on reading the manuscript. I am also grateful to A. F. Frolova and R. M. Galperina for assistance in the preparation of the book.
PHYSICAL PROCESSES IN SOLAR FLARES
PHYSICAL PROCESSES IN SOLAR FLARES ASTROPHYSICS AND SPACE SCIENCE LIBRARY A SERIES OF BOOKS ON THE RECENT DEVELOPMENTS OF SPACE SCIENCE AND OF GENERAL GEOPHYSICS AND ASTROPHYSICS PUBLISHED IN CONNECTION
More informationTrigonometric Fourier Series and Their Conjugates
Trigonometric Fourier Series and Their Conjugates Mathematics and Its Applications Managing Editor: M. HAZEWINKEL Centre for Mathematics and Computer Science. Amsterdam. The Netherlands Volume 372 Trigonometric
More informationHandbook of vegetation science
Vegetation mapping Handbook of vegetation science FOUNDED BY R. TUXEN H. LIETH, EDITOR IN CHIEF Volume 10 Vegetation mapping Edited by A. w. KOCHLER and I. S. ZONNEVELD Kluwer Academic Publishers Dordrecht
More informationSolar Energy R&D in the European Community
Solar Radiation Data Solar Energy R&D in the European Community Series F: Solar Radiation Data Volume 1 Scientific editing: W. PALZ Publication arrangements: D. NICOLAY Solar Energy R& D in the European
More informationMATHEMATICAL GEOPHYSICS
MATHEMATICAL GEOPHYSICS MODERN APPROACHES IN GEOPHYSICS formerly Seismology and Exploration Geophysics Managing Editor: G. NOLET, Department of Theoretical Geophysics, University of Utrecht, The Netherlands
More informationSEISMIC SURFACE WAVES IN A LATERALLY INHOMOGENEOUS EARTH
SEISMIC SURFACE WAVES IN A LATERALLY INHOMOGENEOUS EARTH MODERN APPROACHES IN GEOPHYSICS formerly Seismology and Exploration Geophysics VOLUME 9 Managing Editor: G. NOLET, Department of Theoretical Geophysics,
More informationSTUDIES IN INDUCTIVE PROBABILITY AND RATIONAL EXPECTATION
STUDIES IN INDUCTIVE PROBABILITY AND RATIONAL EXPECTATION SYNTH ESE LIBRARY MONOGRAPHS ON EPISTEMOLOGY, LOGIC, METHODOLOGY, PHILOSOPHY OF SCIENCE, SOCIOLOGY OF SCIENCE AND OF KNOWLEDGE, AND ON THE MATHEMATICAL
More informationProbability Theory, Random Processes and Mathematical Statistics
Probability Theory, Random Processes and Mathematical Statistics Mathematics and Its Applications Managing Editor: M.HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume
More informationOSCILLATION THEORY FOR DIFFERENCE AND FUNCTIONAL DIFFERENTIAL EQUATIONS
OSCILLATION THEORY FOR DIFFERENCE AND FUNCTIONAL DIFFERENTIAL EQUATIONS Oscillation Theory for Difference and Functional Differential Equations by Ravi P. Agarwal Department of Mathematics, National University
More informationTHEORY OF MOLECULAR EXCITONS
THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS A. S. Davydov Kiev State University Kiev, USSR Translated from Russian by Stephen B. Dresner g? SPRINGER SCIENCE+BUSINESS MEDIA, LLC 1971 Aleksandr
More informationQUANTUM SCATTERING THEORY FOR SEVERAL PARTICLE SYSTEMS
.: ' :,. QUANTUM SCATTERING THEORY FOR SEVERAL PARTICLE SYSTEMS Mathematical Physics and Applied Mathematics Editors: M. Plato, Universite de Bourgogne, Dijon, France The titles published in this series
More informationMultivariate Analysis in The Human Services
Multivariate Analysis in The Human Services INTERNATIONAL SERIES IN SOCIAL WELFARE Series Editor: William J. Reid State University of New York at Albany Advisory Editorial Board: Weiner W. Boehm Rutgers,
More informationEmission and Scattering Techniques. Studies of Inorganic Molecules, Solids, and Surfaces
Emission and Scattering Techniques Studies of Inorganic Molecules, Solids, and Surfaces NATO ADVANCED STUDY INSTITUTES SERIES Proceedings of the Advanced Study Institute Programme, which aims at the dissemination
More informationTWILIGHT. Georgii Vladimirovich Rozenberg Deputy Director Institute of Physics of the Atmosphere Academy of Sciences of the USSR
TWILIGHT TWILIGHT A STUDY IN ATMOSPHERIC OPTICS Georgii Vladimirovich Rozenberg Deputy Director Institute of Physics of the Atmosphere Academy of Sciences of the USSR With a Preface by J. V. Dave National
More informationCollection of problems in probability theory
Collection of problems in probability theory L. D. MESHALKIN Moscow State University Collection of problems in probability theory Translated from the Russian and edited by LEO F. BORON University of Idaho
More informationTHE SOLAR CHROMOSPHERE AND CORONA: QUIET SUN
THE SOLAR CHROMOSPHERE AND CORONA: QUIET SUN ASTROPHYSICS AND SPACE SCIENCE LIBRARY A SERIES OF BOOKS ON THE RECENT DEVELOPMENTS OF SPACE SCIENCE AND OF GENERAL GEOPHYSICS AND ASTROPHYSICS PUBLISHED IN
More informationENTROPY-BASED PARAMETER ESTIMATION IN HYDROLOGY
ENTROPY-BASED PARAMETER ESTIMATION IN HYDROLOGY Water Science and Technology Library VOLUME 30 Editor-in-Chief V. P. Singh, Louisiana State University, Baton Rouge, U.S.A Editorial Advisory Board M. Anderson,
More informationAnalysis and Control of Age-Dependent Population Dynamics
Analysis and Control of Age-Dependent Population Dynamics MATHEMATICAL MODELLING: Theory and Applications VOLUME I I This series is aimed at publishing work dealing with the definition, development and
More informationQUANTUM THEORY OF CHEMICAL REACTIONS
QUANTUM THEORY OF CHEMICAL REACTIONS QUANTUM THEORY OF CHEMICAL REACTIONS II. Solvent Effect, Reaction Mechanisms, Photochemical Processes Edited by RAYMOND DAUDEL CNRS, Centre de Mecanique Ondulatoire
More informationCOSSERAT THEORIES: SHELLS, RODS AND POINTS
COSSERAT THEORIES: SHELLS, RODS AND POINTS SOLID MECHANICS AND ITS APPLICATIONS Volume 79 Series Editor: G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo, Ontario, Canada
More informationIMAGE: AN INTEGRATED MODEL TO ASSESS THE GREENHOUSE EFFECT
IMAGE: AN INTEGRATED MODEL TO ASSESS THE GREENHOUSE EFFECT IMAGE: AN INTEGRATED MODEL TO ASSESS THE GREENHOUSE EFFECT by Jan Rotmans KLUWER ACADEMIC PUBLISHERS DORDRECHT I BOSTON I LONDON ISBN-l3: 978-94-010-6796-6
More informationChemistry by Computer. An Overview of the Applications of Computers in Chemistry
Chemistry by Computer An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Stephen Wilson Theoretical Chemistry Department
More informationENGINEERING MECHANICS
ENGINEERING MECHANICS Engineering Mechanics Volume 2: Stresses, Strains, Displacements by C. HARTSUIJKER Delft University of Technology, Delft, The Netherlands and J.W. WELLEMAN Delft University of Technology,
More informationNumerical Data Fitting in Dynamical Systems
Numerical Data Fitting in Dynamical Systems Applied Optimization Volume 77 Series Editors: Panos M. Pardalos University of Florida, U.S.A. Donald Hearn University of Florida, U.S.A. The titles published
More informationPartial Differential Equations
Partial Differential Equations Mathematics and Its Applications Managing Editor: M. HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Editorial Board: R. W. BROCKETT, Harvard
More informationINTRODUCTION TO SOL-GEL PROCESSING
INTRODUCTION TO SOL-GEL PROCESSING THE KLUWER INTERNATIONAL SERIES in SOL-GEL PROCESSING: TECHNOLOGY AND APPLICATIONS Consulting Editor Lisa Klein Rutgers, the State University of New Jersey INTRODUCTION
More informationINTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION
INTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION INTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION Edited by B. M. McCORMAC Lockheed Palo Alto Research Laboratory, Palo Alto, Calif.,
More informationNumerical Methods for the Solution of Ill-Posed Problems
Numerical Methods for the Solution of Ill-Posed Problems Mathematics and Its Applications Managing Editor: M.HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume 328
More informationPolymer Composite Materials - Interface Phenomena & Processes
Polymer Composite Materials - Interface Phenomena & Processes SOLID MECHANICS AND ITS APPLICATIONS Volume 90 Series Editor: G.M.L. GLADWELL Department of Civil Engineering University of Waterloo Waterloo,
More informationIntroduction to CLASSICAL MECHANICS
Introduction to CLASSICAL MECHANICS Introduction to CLASSICAL MECHANICS A.P. FRENCH Massachusetts Institute oj Technology M.G. EBISON The Institute oj Physics, London KLUWER ACADEMIC PUBLISHERS DORDRECHT
More informationCOSMIC RAYS IN INTERPLANETARY MAGNETIC FIELDS
COSMIC RAYS IN INTERPLANETARY MAGNETIC FIELDS GEOPHYSICS AND ASTROPHYSICS MONOGRAPHS Editor B. M. McCORMAC, Lockheed Palo Alto Research Laboratory, Palo Alto, Calif., U.S.A. Editorial Board R. GRANT ATHA
More informationESSAYS ON EXPLANATION AND UNDERSTANDING
ESSAYS ON EXPLANATION AND UNDERSTANDING SYNTHESE LIBRARY MONOGRAPHS ON EPISTEMOLOGY LOGIC, METHODOLOGY, PHILOSOPHY OF SCIENCE, SOCIOLOGY OF SCIENCE AND OF KNOWLEDGE, AND ON THE MATHEMATICAL METHODS OF
More informationRAGNAR FRISCH MAXIMA AND MINIMA THEORY AND ECONOMIC APPLICATIONS IN COLLABORA TION WITH A. NATAF SPRJNGER-SCIENCE+BUSJNESS MEDIA, B.V.
MAXIMA AND MINIMA RAGNAR FRISCH MAXIMA AND MINIMA THEORY AND ECONOMIC APPLICATIONS IN COLLABORA TION WITH A. NATAF SPRJNGER-SCIENCE+BUSJNESS MEDIA, B.V. MAXIMA ET MINIMA Theorie et applications economiques
More informationSpringerBriefs in Mathematics
SpringerBriefs in Mathematics For further volumes: http://www.springer.com/series/10030 George A. Anastassiou Advances on Fractional Inequalities 123 George A. Anastassiou Department of Mathematical Sciences
More informationA SHORT COURSE ON FUNCTIONAL EQUATIONS
A SHORT COURSE ON FUNCTIONAL EQUATIONS THEORY AND DECISION LIBRARY General Editors: W. Leinfellner and G. Eberlein Series A: Philosophy and Methodology of the Social Sciences Editors: W. Leinfellner (University
More informationStability Theorems in Geometry and Analysis
Stability Theorems in Geometry and Analysis Mathematics and Its Applications Managing Editor: M. HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume 304 Stability
More informationGeophysical Interpretation using Integral Equations
Geophysical Interpretation using Integral Equations Geophysical Interpretation using Integral Equations L. ESKOLA Head of the Geophysics Department, Geological Survey of Finland 1~lll SPRINGER-SCIENCE+BUSINESS
More informationPrinciples of Applied Geophysics
Principles of Applied Geophysics 'This is called practice, but remember to first set forth the theory.' Leonardo da Vinci Codex Madrid I (1493-1497) Principles of Applied Geophysics D.S. PARASNIS Professor
More informationENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILI1Y
ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILI1Y THE KLUWER INTERNATIONAL SERIES IN ENGINEERING AND COMPUTER SCIENCE POWER ELECTRONICS AND POWER SYSTEMS Consulting Editor Thomas A. Lipo University of
More informationMETHODS FOR PROTEIN ANALYSIS
METHODS FOR PROTEIN ANALYSIS Robert A. Copeland, PhD The DuPont Merck Pharmaceutical Company Experimental Station P.O. Box 80400 Wilmington, DE 19880-0400 METHODS FOR PROTEIN ANALYSIS A Practical Guide
More informationSCALE PROBLEMS IN HYDROLOGY
SCALE PROBLEMS IN HYDROLOGY WATER SCIENCE AND TECHNOLOGY LIBRARY Editorial Advisory Board: J. BEAR, Haifa, Israel CHEN MENGXIONG, Beijing, P.R. China v. COTECCHIA, Bari, Italy E. CUSTODIO, Barcelona, Spain
More informationCircuit Analysis for Power Engineering Handbook
Circuit Analysis for Power Engineering Handbook Circuit Analysis for Power Engineering Handbook Arieh L. Shenkman SPRINGER SCIENCE+BUSINESS MEDIA, B.V A c.i.p. Catalogue record for this book is available
More informationSeismic Guided Drilling: Near Real Time 3D Updating of Subsurface Images and Pore Pressure Model
IPTC 16575 Seismic Guided Drilling: Near Real Time 3D Updating of Subsurface Images and Pore Pressure Model Chuck Peng, John Dai and Sherman Yang, Schlumberger WesternGeco Copyright 2013, International
More informationPractical Statistics for Geographers and Earth Scientists
Practical Statistics for Geographers and Earth Scientists Nigel Walford A John Wiley & Sons, Ltd., Publication Practical Statistics for Geographers and Earth Scientists Practical Statistics for Geographers
More informationAPPLICATIONS OF GENETIC ENGINEERING TO CROP IMPROVEMENT
APPLICATIONS OF GENETIC ENGINEERING TO CROP IMPROVEMENT ADVANCES IN AGRICULTURAL BIOTECHNOLOGY Akazawa T., et ai., eds: The New Frontiers in Plant Biochemistry. 1983. ISBN 90-247-2829-0 Gottschalk W. and
More informationAPPLIED STRUCTURAL EQUATION MODELLING FOR RESEARCHERS AND PRACTITIONERS. Using R and Stata for Behavioural Research
APPLIED STRUCTURAL EQUATION MODELLING FOR RESEARCHERS AND PRACTITIONERS Using R and Stata for Behavioural Research APPLIED STRUCTURAL EQUATION MODELLING FOR RESEARCHERS AND PRACTITIONERS Using R and Stata
More informationA Macmillan Physics Text
WAVES A Macmillan Physics Text Consulting Editor: Professor P. A. Matthews, F.R.S. Other titles MODERN ATOMIC PHYSICS: FUNDAMENTAL PRINCIPLES: B. Cagnacand J. -C. Pebay-Peyroula MODERN ATOMIC PHYSICS:
More informationShallow Refraction Seismics
Shallow Refraction Seismics Series Editor D. S. Parasnis Professor of Applied Geophysics, University of Lulea, Sweden Fellow of the Royal Swedish Academy of Engineering Sciences Shallow Refraction Seismics
More informationTHE NEW WORLD OF QUANTUM CHEMISTRY
THE NEW WORLD OF QUANTUM CHEMISTRY ACADEMIE INTERNATIONALE DES SCIENCES MOLECULAIRES QUANTIQUES INTERNATIONAL ACADEMY OF QUANTUM MOLECULAR SCIENCE THE NEW WORLD OF QUANTUM CHEMISTRY PROCEEDINGS OF THE
More informationReliability Evaluation of Engineering Systems:
Reliability Evaluation of Engineering Systems: Concepts and Techniques Roy Billinton PhD, DSc, FEIC, FRSC, FIEEE, PE c. J. MacKenzie Professor of Electrical Engineering University of Saskatchewan and Ronald
More informationIntroduction to the Theory and Application of the Laplace Transformation
Gustav Doetsch Introduction to the Theory and Application of the Laplace Transformation With 51 Figures and a Table of Laplace Transforms Translation by Walter Nader Springer-Verlag Berlin Heidelberg New
More informationTHEORY OF PLASMAS TEORIYA PLAZMY. TEOPMH lljla3mbi
THEORY OF PLASMAS TEORIYA PLAZMY TEOPMH lljla3mbi The Lebedev Physics Institute Series Editors: Academicians D. V. Skobel'tsyn and N. G. Basov P. N. Lebedev Physics Institute, Academy of Sciences of the
More informationWITPRESS WIT Press publishes leading books in Science and Technology. Visit our website for the current list of titles.
High-Level Radioactive Waste (HLW) Disposal WITPRESS WIT Press publishes leading books in Science and Technology. Visit our website for the current list of titles. www.witpress.com WITeLibrary Home of
More informationNonlinear Parabolic and Elliptic Equations
Nonlinear Parabolic and Elliptic Equations Nonlinear Parabolic and Elliptic Equations c. V. Pao North Carolina State University Raleigh, North Carolina Plenum Press New York and London Library of Congress
More informationDIPOLE MOMENTS IN ORGANIC CHEMISTRY
DIPOLE MOMENTS IN ORGANIC CHEMISTRY PHYSICAL METHODS IN ORGANIC CHEMISTRY B. I. lonin and B. A. Ershov NMR Spectroscopy in Organic Chemistry, 1970 V. I. Minkin, O. A. Osipov, and Yu. A. Zhdanov Dipole
More informationESSAYS ON MATHEMATICAL AND PHILOSOPHICAL LOGIC
ESSAYS ON MATHEMATICAL AND PHILOSOPHICAL LOGIC SYNTHESE LIBRARY STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE Managing Editor: JAAKKO HINTIKKA, Academy of Finland and Stanford
More informationVibration Mechanics. Linear Discrete Systems SPRINGER SCIENCE+BUSINESS MEDIA, B.V. M. Del Pedro and P. Pahud
Vibration Mechanics Vibration Mechanics Linear Discrete Systems by M. Del Pedro and P. Pahud Swiss Federal Institute oftechnology, Lausanne, Switzerland SPRINGER SCIENCE+BUSINESS MEDIA, B.V. ISBN 978-94-010-5554-3
More informationTHE TRANSURANIUM ELEMENTS
THE TRANSURANIUM ELEMENTS STUDIES IN SOVIET SCIENCE 1973 Motile Muscle and Cell Models N. I. Arronet Densification of Metal Powders during Sintering V. A. Ivensen The Transuranium Elements V. I. Goldanskii
More informationMaximum Principles in Differential Equations
Maximum Principles in Differential Equations Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Murray H. Protter Hans F. Weinberger Maximum Principles in Differential
More informationRarefied Gas Dynamics
Rarefied Gas Dynamics Rarefied Gas Dynamics Mikhail N. Kogan Computer Center Academy of Sciences of the USSR Moscow Translated from Russian Translation Editor Leon Trilling Department of Aeronautics and
More informationThe GEOLOGICAL EVOLUTION of the RIVER NILE
The GEOLOGICAL EVOLUTION of the RIVER NILE The GEOLOGICAL EVOLUTION of the RIVER NILE RUSHDI SAID Senior Research Scientist Institute of Earth and Man Southern Methodist University Dallas, Texas Senior
More informationDoubt-Free Uncertainty In Measurement
Doubt-Free Uncertainty In Measurement Colin Ratcliffe Bridget Ratcliffe Doubt-Free Uncertainty In Measurement An Introduction for Engineers and Students Colin Ratcliffe United States Naval Academy Annapolis
More informationPROGRESS IN INORGANIC CHEMISTRY. Volume 11
PROGRESS IN INORGANIC CHEMISTRY Volume 11 Advisory Board THEODORE L. BROWX UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS JAhlES P. COLLMAK STANFORD UNIVERSITY, STANFORD, CALIFORNIA F. ALBERT COTTON M.I.T.,
More informationBASIC STRUCTURAL DYNAMICS
BASIC STRUCTURAL DYNAMICS BASIC STRUCTURAL DYNAMICS James C. Anderson Ph.D. Professor of Civil Engineering, University of Southern California Farzad Naeim Ph.D., S.E., Esq. Vice President and General
More informationTHE HISTORY AND PRESERVATION OF CHEMICAL INSTRUMENTATION
THE HISTORY AND PRESERVATION OF CHEMICAL INSTRUMENTATION CHEMISTS AND CHEMISTRY A series ofbooks devoted to the examination ofthe history and development ofchemistry from its early emergence as a separate
More informationTHE NONLINEAR DIFFUSION EQUATION
THE NONLINEAR DIFFUSION EQUATION THE NONLINEAR DIFFUSION EQUATION Asymptotic Solutions and Statistica! Problems by J. M. BURGERS Institute for Fluid Dynamics and Applied Mathematics, University of Maryland,
More informationCore Books in Advanced Mathematics. Vectors
Core Books in Advanced Mathematics Vectors Core Books in Advanced Mathematics General Editor: C. PLUMPTON, Moderator in Mathematics, University of London School Examinations Department; formerly Reader
More informationORE MICROSCOPY AND ORE PETROGRAPHY
>...- ORE MICROSCOPY AND ORE PETROGRAPHY Second Edition JAMES R. CRAIG Department of Geological Sciences Virginia Polytechnic Institute and State University Blacksburg, Virginia DAVID J. VAUGHAN Department
More informationNumerical Integration of Stochastic Differential Equations
Numerical Integration of Stochastic Differential Equations Mathematics and Its Applications Managing Editor: M. HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume
More informationMultivariable Calculus with MATLAB
Multivariable Calculus with MATLAB Ronald L. Lipsman Jonathan M. Rosenberg Multivariable Calculus with MATLAB With Applications to Geometry and Physics Ronald L. Lipsman Department of Mathematics University
More informationWORKED EXAMPLES IN X-RAY ANALYSIS
WORKED EXAMPLES IN X-RAY ANALYSIS PHILIPS TECHNICAL LIBRARY WORKED EXAMPLES IN X-RAY ANALYSIS R. JENKINS J.L. DE VRIES Springer Science+Business Media, LLC Springer Science+Business Media New York 1970
More informationENGINEERING PROPERTIES OF NICKEL AND NICKEL ALLOYS
ENGINEERING PROPERTIES OF NICKEL AND NICKEL ALLOYS ENGINEERING PROPERTIES OF NICKEL AND NICKEL AllOYS by John l. Everhart,P. E. Metallurgical Engineer Westfield, New Jersey 9? PLENUM PRESS NEW YORK - LONDON
More informationSYDNEY CHAPMAN. National Center for Atmospheric Research, Boulder, Colo., and Geophysical Institute, University of Alaska, College, Alaska, U.S.A.
ATMOSPHERIC TIDES SYDNEY CHAPMAN National Center for Atmospheric Research, Boulder, Colo., and Geophysical Institute, University of Alaska, College, Alaska, U.S.A. RICHARD S. LIND ZEN Dept. of Geophysical
More informationELECTRODYNAMICS OF CONTINUOUS MEDIA
ELECTRODYNAMICS OF CONTINUOUS MEDIA by L. D. LANDAU and E. M. LIFSHITZ Institute of Physical Problems, USSR Academy of Sciences Volume 8 of Course of Theoretical Physics Translated from the Russian by
More informationEnantiomer Separation
Enantiomer Separation Enantiomer Separation Fundamentals and Practical Methods Edited by Professor of Chemistry, Department of Chemistry, Okayama University of Science, Japan KLUWER ACADEMIC PUBLISHERS
More informationAN INTRODUCTION TO HYDRODYNAMICS AND WATER WAVES
AN INTRODUCTION TO HYDRODYNAMICS AND WATER WAVES HYDRODYNAMICA SIVE DE VIRIBUS ET MOTIBUS FLUIDORUM COMMENTARII 'Remember, when discoursing about water, to induce first experience, then reason.' - Leonardo
More informationGlobal Behavior of Nonlinear Difference Equations of Higher Order with Applications
Global Behavior of Nonlinear Difference Equations of Higher Order with Applications Mathematics and Its Applications Managing Editor: M. HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam,
More informationLima Project: Seismic Refraction and Resistivity Survey. Alten du Plessis Global Geophysical
Lima Project: Seismic Refraction and Resistivity Survey Alten du Plessis Global Geophysical Report no 0706/2006 18 December 2006 Lima Project: Seismic Refraction and Resistivity Survey by Alten du Plessis
More informationDynamic data processing recursive least-squares
Dynamic data processing recursive least-squares Dynamic data processing recursive least-squares Delft University of Technology Department of Mathematical Geodesy and Positioning VSSD Series on Mathematical
More informationElectrochemical Process Engineering. A Guide to the Design of Electrolytic Plant
Electrochemical Process Engineering A Guide to the Design of Electrolytic Plant Electrochemical Process Engineering A Guide to the Design of Electrolytic Plant F. Goodridge and K. Scott University of Newcastle
More informationNew Foundations for Classical Mechanics
New Foundations for Classical Mechanics Fundamental Theories of Physics A New International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor:
More informationExercises in Basic Ring Theory
Exercises in Basic Ring Theory Kluwer Texts in the Mathematical Sciences VOLUME 20 A Graduate-Level Book Series The titles published in this series are listed at the end of this volume. Exercises in Basic
More informationQUANTUM MECHANICS, A HALF CENTURY LATER
QUANTUM MECHANICS, A HALF CENTURY LATER EPISTEME A SERIES IN THE FOUNDATIONAL, METHODOLOGICAL, PHILOSOPHICAL, PSYCHOLOGICAL, SOCIOLOGICAL AND POLITICAL ASPECTS OF THE SCIENCES, PURE AND APPLIED Editor:
More informationDynamics and Control of Lorentz-Augmented Spacecraft Relative Motion
Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion Ye Yan Xu Huang Yueneng Yang Dynamics and Control of Lorentz-Augmented Spacecraft Relative Motion 123 Ye Yan College of Aerospace Science
More informationRegulated CheInicals Directory
Regulated CheInicals Directory 1995 REGULA1ED ehe I DIREClORY 1995 Compiled by ChemADVISOR, Inc. Pittsburgh, Pennsylvania ~ SPRINGER SCIENCE+BUSINESS MEDIA, LLC Copyright 1995 Springer Science+Business
More informationDEVELOPMENTS IN GEOPHYSICAL EXPLORATION METHODS-4
DEVELOPMENTS IN GEOPHYSICAL EXPLORATION METHODS-4 CONTENTS OF VOLUMES 1 TO 3 Volume 1 Edited by A. A. Fitch 1. Velocity Determination from Seismic Reflection Data. M. AL-CHALABI 2. Patterns of Sources
More informationTOPOLOGICAL QUANTUM FIELD THEORY AND FOUR MANIFOLDS
TOPOLOGICAL QUANTUM FIELD THEORY AND FOUR MANIFOLDS MATHEMATICAL PHYSICS STUDIES Editorial Board: Maxim Kontsevich, IHES, Bures-sur-Yvette, France Massimo Porrati, New York University, New York, U.S.A.
More informationStructurel Reactivity and Thermochemistry of Ions
Structurel Reactivity and Thermochemistry of Ions NATO ASI Series Advanced Science Institutes Series A series presenting the results of activities sponsored by the NA TO Science Committee, which aims at
More informationENGINEERING MECHANICS: STATICS AND DYNAMICS
ENGINEERING MECHANICS: STATICS AND DYNAMICS Dr. A.K. Tayal ENGINEERING MECHANICS STATICS AND DYNAMICS A.K. Tayal Ph. D. Formerly Professor Department of Mechanical Engineering Delhi College of Engineering
More informationQUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from
Quantum Mechanics Downloaded from www.worldscientific.com QUANTUM MECHANICS For Electrical Engineers Quantum Mechanics Downloaded from www.worldscientific.com This page intentionally left blank Quantum
More informationStatic Corrections for Seismic Reflection Surveys
Static Corrections for Seismic Reflection Surveys MIKE COX Volume Editors: Series Editor: Eugene F. Scherrer Roland Chen Eugene F. Scherrer Society of Exploration Geophysicists Tulsa, Oklahoma Contents
More informationThe Theory of the Top Volume II
Felix Klein Arnold Sommerfeld The Theory of the Top Volume II Development of the Theory in the Case of the Heavy Symmetric Top Raymond J. Nagem Guido Sandri Translators Preface to Volume I by Michael Eckert
More informationApplied Regression Modeling
Applied Regression Modeling Applied Regression Modeling A Business Approach Iain Pardoe University of Oregon Charles H. Lundquist College of Business Eugene, Oregon WILEY- INTERSCIENCE A JOHN WILEY &
More informationSupramolecular Structure and Function
Supramolecular Structure and Function Supramolecular Structure and Function Edited by Greta Pifat Rudjer BoJkovitlnstitute Zagreb, Yugoslavia and Janko N. Herak University of Zagreb Zagreb, Yugoslavia
More informationDISCRETE INVERSE AND STATE ESTIMATION PROBLEMS
DISCRETE INVERSE AND STATE ESTIMATION PROBLEMS With Geophysical The problems of making inferences about the natural world from noisy observations and imperfect theories occur in almost all scientific disciplines.
More informationArrow Pushing in Organic Chemistry
Arrow Pushing in Organic Chemistry An Easy Approach to Understanding Reaction Mechanisms Daniel E. Levy Arrow Pushing in Organic Chemistry Arrow Pushing in Organic Chemistry An Easy Approach to Understanding
More informationAsymptotic Theory of Anisotropic Plates and Shells Downloaded from by on 02/12/18. For personal use only.
This page intentionally left blank World Scientific 9048_9789814579025_tp.indd 2 3/2/15 5:26 pm Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren
More informationLOCALIZATION AND DELOCALIZATION IN QUANTUM CHEMISTRY VOLUME I ATOMS AND MOLECULES IN THE GROUND STATE
LOCALIZATION AND DELOCALIZATION IN QUANTUM CHEMISTRY VOLUME I ATOMS AND MOLECULES IN THE GROUND STATE LOCALIZATION AND DELOCALIZATION IN QUANTUM CHEMISTRY VOLUME I Atoms and Molecules in the Ground State
More informationSurface and Colloid Chemistry in Natural Waters and Water Treatment
Surface and Colloid Chemistry in Natural Waters and Water Treatment Surface and Colloid ChelDistry in Natural Waters and Water TreatlDent Edited by Ronald Beckett Water Studies Centre Monash University
More informationFinite difference elastic modeling of the topography and the weathering layer
Finite difference elastic modeling of the topography and the weathering layer Saul E. Guevara and Gary F. Margrave ABSTRACT Finite difference 2D elastic modeling is used to study characteristics of the
More information