ALBERT

Note: Zugl.: Greifswald, Univ., Diss., 2005

Note: Contents 1. Introduction 1.1 Historical Background 1.2 Some Examples of Spectral Methods 1.2.1 A Fourier Galerkin Method for the Wave Equation 1.2.2 A Chebyshev Collocation Method for the Heat Equation 1.2.3 A Legendre Galerkin with Numerical Integration (G-NI) Method for the Advection-Diffusion-Reaction Equation 1.2.4 A Legendre Tau Method for the Poisson Equation 1.2.5 Basic Aspects of Galerkin, Collocation, G-NI and Tau Methods 1.3 Three-Dimensional Applications in Fluids: A Look Ahead 2. Polynomial Approximation 2.1 The Fourier System 2.1.1 The Continuous Fourier Expansion 2.1.2 The Discrete Fourier Expansion 2.1.3 Differentiation 2.1.4 The Gibbs Phenomenon 2.2 Orthogonal Polynomials in (−1, 1) 2.2.1 Sturm-Liouville Problems 2.2.2 Orthogonal Systems of Polynomials 2.2.3 Gauss-Type Quadratures and Discrete Polynomial Transforms 2.3 Legendre Polynomials 2.3.1 Basic Formulas 2.3.2 Differentiation 2.3.3 Orthogonality, Diagonalization and Localization 2.4 Chebyshev Polynomials 2.4.1 Basic Formulas 2.4.2 Differentiation 2.5 Jacobi Polynomials 2.6 Approximation in Unbounded Domains 2.6.1 Laguerre Polynomials and Laguerre Functions 2.6.2 Hermite Polynomials and Hermite Functions 2.7 Mappings for Unbounded Domains 2.7.1 Semi-Infinite Intervals 2.7.2 The Real Line 2.8 Tensor-Product Expansions 2.8.1 Multidimensional Mapping 2.9 Expansions on Triangles and Related Domains 2.9.1 Collapsed Coordinates and Warped Tensor-Product Expansions 2.9.2 Non-Tensor-Product Expansions 2.9.3 Mappings 3. Basic Approaches to Constructing Spectral Methods 3.1 Burgers Equation 3.2 Strong and Weak Formulations of Differential Equations 3.3 Spectral Approximation of the Burgers Equation 3.3.1 Fourier Galerkin 3.3.2 Fourier Collocation 3.3.3 Chebyshev Tau 3.3.4 Chebyshev Collocation 3.3.5 Legendre G-NI 3.4 Convolution Sums 3.4.1 Transform Methods and Pseudospectral Methods 3.4.2 Aliasing Removal by Padding or Truncation 3.4.3 Aliasing Removal by Phase Shifts 3.4.4 Aliasing Removal for Orthogonal Polynomials 3.5 Relation Between Collocation, G-NI and Pseudospectral Methods 3.6 Conservation Forms 3.7 Scalar Hyperbolic Problems 3.7.1 Enforcement of Boundary Conditions 3.7.2 Numerical Examples 3.8 Matrix Construction for Galerkin and G-NI Methods 3.8.1 Matrix Elements 3.8.2 An Example of Algebraic Equivalence between G-NI and Collocation Methods 3.9 Polar Coordinates 3.10 Aliasing Effects 4. Algebraic Systems and Solution Techniques 4.1 Ad-hoc Direct Methods 4.1.1 Fourier Approximations 4.1.2 Chebyshev Tau Approximations 4.1.3 Galerkin Approximations 4.1.4 Schur Decomposition and Matrix Diagonalization 4.2 Direct Methods 4.2.1 Tensor Products of Matrices 4.2.2 Multidimensional Stiffness and Mass Matrices 4.2.3 Gaussian Elimination Techniques 4.3 Eigen-Analysis of Spectral Derivative Matrices 4.3.1 Second-Derivative Matrices 4.3.2 First-Derivative Matrices 4.3.3 Advection-Diffusion Matrices 4.4 Preconditioning 4.4.1 Fundamentals of Iterative Methods for Spectral Discretizations 4.4.2 Low-Order Preconditioning of Model Spectral Operators in One Dimension 4.4.3 Low-Order Preconditioning in Several Dimensions 4.4.4 Spectral Preconditioning 4.5 Descent and Krylov Iterative Methods for Spectral Equations 4.5.1 Multidimensional Matrix-Vector Multiplication 4.5.2 Iterative Methods 4.6 Spectral Multigrid Methods 4.6.1 One-Dimensional Fourier Multigrid Model Problem 4.6.2 General Spectral Multigrid Methods 4.7 Numerical Examples of Direct and Iterative Methods 4.7.1 Fourier Collocation Discretizations 4.7.2 Chebyshev Collocation Discretizations 4.7.3 Legendre G-NI Discretizations 4.7.4 Preconditioners for Legendre G-NI Matrices 4.8 Interlude 5. Polynomial Approximation Theory 5.1 Fourier Approximation 5.1.1 Inverse Inequalities for Trigonometric Polynomials 5.1.2 Estimates for the Truncation and Best Approximation Errors 5.1.3 Estimates for the Interpolation Error 5.2 Sturm-Liouville Expansions 5.2.1 Regular Sturm-Liouville Problems 5.2.2 Singular Sturm-Liouville Problems 5.3 Discrete Norms 5.4 Legendre Approximations 5.4.1 Inverse Inequalities for Algebraic Polynomials 5.4.2 Estimates for the Truncation and Best Approximation Errors 5.4.3 Estimates for the Interpolation Error 5.4.4 Scaled Estimates 5.5 Chebyshev Approximations 5.5.1 Inverse Inequalities for Polynomials 5.5.2 Estimates for the Truncation and Best Approximation Errors 5.5.3 Estimates for the Interpolation Error 5.6 Proofs of Some Approximation Results 5.7 Other Polynomial Approximations 5.7.1 Jacobi Polynomials 5.7.2 Laguerre and Hermite Polynomials 5.8 Approximation in Cartesian-Product Domains 5.8.1 Fourier Approximations 5.8.2 Legendre Approximations 5.8.3 Mapped Operators and Scaled Estimates 5.8.4 Chebyshev and Other Jacobi Approximations 5.8.5 Blended Trigonometric and Algebraic Approximations 5.9 Approximation in Triangles and Related Domains 6. Theory of Stability and Convergence 6.1 Three Elementary Examples Revisited 6.1.1 A Fourier Galerkin Method for the Wave Equation 6.1.2 A Chebyshev Collocation Method for the Heat Equation 6.1.3 A Legendre Tau Method for the Poisson Equation 6.2 Towards a General Theory 6.3 General Formulation of Spectral Approximations to Linear Steady Problems 6.4 Galerkin, Collocation, G-NI and Tau Methods 6.4.1 Galerkin Methods 6.4.2 Collocation Methods 6.4.3 G-NI Methods 6.4.4 Tau Methods 6.5 General Formulation of Spectral Approximations to Linear Evolution Problems 6.5.1 Conditions for Stability and Convergence: The Parabolic Case 6.5.2 Conditions for Stability and Convergence: The Hyperbolic Case 6.6 The Error Equation 7. Analysis of Model Boundary-Value Problems 7.1 The Poisson Equation 7.1.1 Legendre Methods 7.1.2 Chebyshev Methods 7.1.3 Other Boundary-Value Problems 7.2 Singularly Perturbed Elliptic Equations 7.2.1 Stabilization of Spectral Methods 7.3 The Eigenvalues of Some Spectral Operators 7.3.1 The Discrete Eigenvalues for Lu = −uxx 7.3.2 The Discrete Eigenvalues for Lu = −νuxx + βux 7.3.3 The Discrete Eigenvalues for Lu = ux 7.4 The Preconditioning of Spectral Operators 7.5 The Heat Equation 7.6 Linear Hyperbolic Equations 7.6.1 Periodic Boundary Conditions 7.6.2 Nonperiodic Boundary Conditions 7.6.3 The Resolution of the Gibbs Phenomenon 7.6.4 Spectral Accuracy for Non-Smooth Solutions 7.7 Scalar Conservation Laws 7.8 The Steady Burgers Equation Appendix A. Basic Mathematical Concepts A.1 Hilbert and Banach Spaces A.2 The Cauchy-Schwarz Inequality A.3 Linear Operators Between Banach Spaces A.4 The Fr´echet Derivative of an Operator A.5 The Lax-Milgram Theorem A.6 Dense Subspace of a Normed Space A.7 The Spaces Cm(Ω), m ≥ 0 A.8 Functions of Bounded Variation and the Riemann(-Stieltjes) Integral A.9 The Lebesgue Integral and Lp-Spaces A.10 Infinitely Differentiable Functions and Distributions A.11 Sobolev Spaces and Sobolev Norms A.12 The Sobolev Inequality A.13 The Poincar´e Inequality A.14 The Hardy Inequality A.15 The Gronwall Lemma Appendix B. Fast Fourier Transforms Appendix C. Iterative Methods for Linear Systems C.1 A Gentle Approach to Iterative Methods C.2 Descent Methods for Symmetric Problems C.3 Krylov Methods for Nonsymmetric Problems Appendix D. Time Discretizations D.1 Notation and Stability Definitions D.2 Standard ODE Methods D.2.1 Leap Frog Method D.2.2 Adams-Bashforth Methods D.2.3 Adams-Moulton Methods D.2.4 Backwards-Difference Formulas D.2.5 Runge-Kutta Methods D.3 Integrating Factors D.4 Low-Storage Schemes References Index

Note: Zugl.: München,Univ. der Bundeswehr, Diss., 2005

Note: Chapter 1. Crystal Chemistry of the Rhombohedral Carbonates by Richard J. Reeder, p. 1 - 48 Chapter 2. Phase Relations of Rhombohedral Carbonates by Julian R. Goldsmith, p. 49 - 76 Chapter 3. Solid Solutions and Solvi Among Metamorphic Carbonates with Applications to Geologic Thermobarometry by Eric J. Essene, p. 77 - 96 Chapter 4. Magnesian Calcites: Low-Temperature Occurrence, Solubility and Solid Solution Behavior by Fred T. Mackenzie, William D. Bischoff, Finlay C. Bishop, Michele Loijens, Jane Schoonmaker, and Roland Wollast, p. 97 - 144 Chapter 5. Crystal Chemistry and Phase Relations of Orthorhombic Carbonates by J. Alexander Speer, p. 145 - 190 Chapter 6. The Polymorphs of CaCO3 and the Aragonite-Calcite Transformation by Willima D. Carlson, p. 191 - 226 Chapter 7. The Kinetics of Calcium Carbonate Dissolution and Precipitation by John W. Morse, p. 227 - 264 Chapter 8. Trace Elements and Isotopes in Sedimentary Carbonates by Jan Veizer, p. 265 - 300 Chapter 9. Microstructures in Carbonates by Hans-Rudolf Wenk, David J. Barber, and Richard J. Reeder, p. 301 - 368

Note: Chapter 1. Rate Laws of Chemical Reactions by Antonio C. Lasaga, p. 1 - 68 Chapter 2. Dynamic Treatment of Geochemical Cycles: Global Kinetics by Antonio C. Lasaga, p. 69 - 110 Chapter 3. Kinetics of Weathering and Diagenesis by Robert A. Berner, p. 111 - 134 Chapter 4. Transition State Theory by Antonio C. Lasaga, p. 135 - 170 Chapter 5. Irreversible Thermodynamics in Petrology by George W. Fisher and Antonio C. Lasaga, p. 171 - 210 Chapter 6. Diffusion in Electrolyte Mixtures by David E. Anderson, p. 211 - 260 Chapter 7. The Atomistic Basis of Kinetics: Defects in Minerals by Antonio C. Lasaga, p. 261 - 320 Chapter 8. Kinetics of Crystallization of Igneous Rocks by R. James Kirkpatrick, p. 321 - 398

Note: Chapter 1. Classification and Structures of the Micas by S. W. Bailey, p. 1 - 12 Chapter 2. Crystal Chemistry of the True Micas by S. W. Bailey, p. 13 - 60 Chapter 3. The Brittle Micas by Stephen Guggenheim, p. 61 - 104 Chapter 4. Electrostatic Energy Models of Micas by R. F. Giese, Jr., p. 105 - 144 Chapter 5. Spectroscopy of Micas by George R. Rossman. p. 145 - 182 Chapter 6. Optical Properties of Mica Under the Polarizing Microscope by Ray E. Wilcox, p. 183 - 200 Chapter 7. Experimental Phase Relations of the Micas by David A. Hewitt and David R. Wones, p. 201 - 256 Chapter 8. Paragenesis, Crystallochemical Characteristics, and Geochemical Evolution of Micas in Granitic Pegmatites by Petr Cerny and Donald M. Burt, p. 257 - 298 Chapter 9. Micas in Igneous Rocks by J. Alexander Speer, p. 299 - 356 Chapter 10. Micas in Metamorphic Rocks by Charles V. Guidotti, p. 257 - 468 Chapter 11. F-OH and Cl-OH Exchange in Micas with Applications to Hydrothermal Ore Deposits by James L. Munoz, p. 469 - 494 Chapter 12. Illite by Jan Sordori and Dennis D. Eberl, p. 495 - 544 Chapter 13. Glauconite and Celadonite Minerals by I. Edgar Odom, p. 545 - 572 Appendix: X-Ray Power Patterns of Micas p. 573 - 584

Note: Contents Preface Part I Anatomy of a cyclone 1 Anatomy of a cyclone 1.1 A 'typical' extra-tropical cyclone 1.2 Describing the atmosphere 1.3 Air masses and fronts 1.4 The structure of a typical extra-tropical cyclone Review questions 2 Mathematical methods in fluid dynamics 2.1 Scalars and vectors 2.2 The algebra of vectors 2.3 Scalar and vector fields 2.4 Coordinate systems on the Earth 2.5 Gradients of vectors 2.6 Line and surface integrals 2.7 Eulerian and Lagrangian frames of reference 2.8 Advection Review questions 3 Properties of fluids 3.1 Solids, liquids, and gases 3.2 Thermodynamic properties of air 3.3 Composition of the atmosphere 3.4 Static stability 3.5 The continuum hypothesis 3.6 Practical assumptions 3.7 Continuity equation Review questions 4 Fundamental forces 4.1 Newton's second law: F=ma 4.2 Body, surface, and line forces 4.3 Forces in an inertial reference frame 4.4 Forces in a rotating reference frame 4.5 The Navier-Stokes equations Review questions 5 Scale analysis 5.1 Dimensional homogeneity 5.2 Scales 5.3 Non-dimensional parameters 5.4 Scale analysis 5.5 The geostrophic approximation Review questions 6 Simple steady motion 6.1 Natural coordinate system 6.2 Balanced flow 6.3 The Boussinesq approximation 6.4 The thermal wind 6.5 Departures from balance Review questions 7 Circulation and vorticity 7.1 Circulation 7.2 Vorticity 7.3 Conservation of potential vorticity 7.4 An introduction to the vorticity equation Review questions 8 Simple wave motions 8.1 Properties of waves 8.2 Perturbation analysis 8.3 Planetary waves Review questions 9 Extra-tropical weather systems 9.1 Fronts 9.2 Frontal cyclones 9.3 Baroclinic instability Review questions Part II Atmospheric phenomena 10 Boundary layers 10.1 Turbulence 10.2 Reynolds decomposition 10.3 Generation of turbulence 10.4 Closure assumptions Review questions 11 Clouds and severe weather 11.1 Moist processes in the atmosphere 11.2 Air mass thunderstorms 11.3 Multi-cell thunderstorms 11.4 Supercell thunderstorms and tornadoes 11.5 Mesoscale convective systems Review questions 12 Tropical weather 12.1 Scales of motion 12.2 Atmospheric oscillations 12.3 Tropical cyclones Review questions 13 Mountain weather 13.1 Internal gravity waves 13.2 Flow over mountains 13.3 Downslope windstorms Review questions 14 Polar weather 14.1 Katabatic winds 14.2 Barrier winds 14.3 Polar lows Review questions 15 Epilogue: the general circulation 15.1 Fueled by the Sun 15.2 Radiative-convective equilibrium 15.3 The zonal mean circulation 15.4 The angular momentum budget 15.5 The energy cycle Appendix A - symbols Appendix Β - constants and units Bibliography Index

Note: CONTENTS Abstract Preface Introduction Ice fog from cooling ponds Evaporation Relative humidity and cold air Ice fog suppression Air movement Plastic films Rafts Injection wells Cooling towers Chemical films Reinforced film experiments Meteorological data collection Floating reinforcement grid Application of the hexadecanol film Hexadecanol, octadecanol mixes Ethylene glycol monobutyl ether Laboratory tests of suppression effectiveness Conclusions Literature cited Appendix A. Design for an automatic thin chemical film applicationsystem Appendix B. Meteorological data

Note: CONTENTS Abstract Preface Conversion factors Introduction Types of pipelines and cables Potential hazards to pipelines and cables Areas of concern Waterdepth Sea ice Icebergs and ice islands Submarine permafrost Ice gouging Seabed erosion by water jets Protection methods Protection of unburied pipes and cables Protection by burial Backhoe digging Wireline equipment Plowing and ripping from the surface Plowing and ripping by self-propelled seabed vehicles Bucket ladder dredges Suction dredging Conventional cutterhead dredges Low pressure water jetting Bottom-traveling cutterhead dredges Explosive methods Novel methods Disc saws, wheel ditchers and milling drums Ladder trenchers and chain saws Repetitive impulse devices High pressure water jets Flame jets and plasma torches Electrical discharge and electromagnetic radiation Chemical methods Conclusions Literature cited

Note: CONTENTS Abstract Preface Nomenclature Introduction Background Experimental design Similitude considerations The model Model operation Results Velocity Fence height Porosity Model correlation Summary and conclusions Recommeqdations for future work Literature cited Appendix A

Note: Jean-Pierre Burg and Mary Ford: Orogeny through time: an overview / Geological Society, London, Special Publications, 121:1-17, doi:10.1144/GSL.SP.1997.121.01.01 --- Giorgio Ranalli: Rheology of the lithosphere in space and time / Geological Society, London, Special Publications, 121:19-37, doi:10.1144/GSL.SP.1997.121.01.02 --- P. G. Thomas, P. Allemand, and N. Mangold: Rheology of planetary lithospheres: a review from impact cratering mechanics / Geological Society, London, Special Publications, 121:39-62, doi:10.1144/GSL.SP.1997.121.01.03 --- P. Choukroune, J. N. Ludden, D. Chardon, A. J. Calvert, and H. Bouhallier: Archaean crustal growth and tectonic processes: a comparison of the Superior Province, Canada and the Dharwar Craton, India / Geological Society, London, Special Publications, 121:63-98, doi:10.1144/GSL.SP.1997.121.01.04 --- M. G. O’Dea, G. S. Lister, T. Maccready, P. G. Betts, N. H. S. Oliver, K. S. Pound, W. Huang, R. K. Valenta, N. H. S. Oliver, and R. K. Valenta: Geodynamic evolution of the Proterozoic Mount Isa terrain / Geological Society, London, Special Publications, 121:99-122, doi:10.1144/GSL.SP.1997.121.01.05 --- A. G. Milnes, O. P. Wennberg, Ø. Skår, and A. G. Koestler: Contraction, extension and timing in the South Norwegian Caledonides: the Sognefjord transect / Geological Society, London, Special Publications, 121:123-148, doi:10.1144/GSL.SP.1997.121.01.06 --- David R. Gray: Tectonics of the southeastern Australian Lachlan Fold Belt: structural and thermal aspects / Geological Society, London, Special Publications, 121:149-177, doi:10.1144/GSL.SP.1997.121.01.07 --- P. Rey, J.-P. Burg, and M. Casey: The Scandinavian Caledonides and their relationship to the Variscan belt / Geological Society, London, Special Publications, 121:179-200, doi:10.1144/GSL.SP.1997.121.01.08 --- V. N. Puchkov: Structure and geodynamics of the Uralian orogen / Geological Society, London, Special Publications, 121:201-236, doi:10.1144/GSL.SP.1997.121.01.09 --- Simon Lamb, Leonore Hoke, Lorcan Kennan, and John Dewey: Cenozoic evolution of the Central Andes in Bolivia and northern Chile / Geological Society, London, Special Publications, 121:237-264, doi:10.1144/GSL.SP.1997.121.01.10

Note: P. D. Jackson, D. G. Gunn, R. C. Flint, D. Beamish, P. I. Meldrum, M. A. Lovell, P. K. Harvey, and A. Peyton: A non-contacting resistivity imaging method for characterizing whole round core while in its liner / Geological Society, London, Special Publications, 122:1-10, doi:10.1144/GSL.SP.1997.122.01.01 --- D. J. Prosser, A. Hurst, and M. R. Wilson: One-man-operable probe permeameters / Geological Society, London, Special Publications, 122:11-18, doi:10.1144/GSL.SP.1997.122.01.02 --- S. R. McDougall, A. B. Dixit, and K. S. Sorbie: Network analogues of wettability at the pore scale / Geological Society, London, Special Publications, 122:19-35, doi:10.1144/GSL.SP.1997.122.01.03 --- S. Pugliese and N. Petford: Pore-structure visualization in microdioritic enclaves / Geological Society, London, Special Publications, 122:37-46, doi:10.1144/GSL.SP.1997.122.01.04 --- Paul B. Basan, Ben D. Lowden, Peter R. Whattler, and John J. Attard: Pore-size data in petrophysics: a perspective on the measurement of pore geometry / Geological Society, London, Special Publications, 122:47-67, doi:10.1144/GSL.SP.1997.122.01.05 --- M. S. King, A. Shakeel, and N. A. Chaudhry: Acoustic wave propagation and permeability in sandstones with systems of aligned cracks / Geological Society, London, Special Publications, 122:69-85, doi:10.1144/GSL.SP.1997.122.01.06 --- Shiyu Xu, Just Doorenbos, Sue Raikes, and Roy White: A simple but powerful model for simulating elastic wave velocities in clastic Silicate rocks / Geological Society, London, Special Publications, 122:87-105, doi:10.1144/GSL.SP.1997.122.01.07 --- T. Apuani, M. S. King, C. Butenuth, and M. H. De Freitas: Measurements of the relationship between Sonic wave velocities and tensile strength in Anisotropic rock / Geological Society, London, Special Publications, 122:107-119, doi:10.1144/GSL.SP.1997.122.01.08 --- C. McCann, J. Sothcott, and S. B. Assefa: Prediction of petrophysical properties from seismic quality factor measurements / Geological Society, London, Special Publications, 122:121-130, doi:10.1144/GSL.SP.1997.122.01.09 --- Y. F. Sun and D. Goldberg: Estimation of aspect-ratio changes with pressure from seismic velocities / Geological Society, London, Special Publications, 122:131-139, doi:10.1144/GSL.SP.1997.122.01.10 --- P. K. Harvey, M. A. Lovell, J. C. Lofts, P. A. Pezard, and J. F. Bristow: Petrophysical estimation from downhole Mineralogy logs / Geological Society, London, Special Publications, 122:141-157, doi:10.1144/GSL.SP.1997.122.01.11 --- Paul F. Worthington: Petrophysical estimation of permeability as a function of scale / Geological Society, London, Special Publications, 122:159-168, doi:10.1144/GSL.SP.1997.122.01.12 --- C. A. Gonçalves, P. K. Harvey, and M. A. Lovell: Prediction of petrophysical parameter logs using a multilayer backpropagation neural network / Geological Society, London, Special Publications, 122:169-180, doi:10.1144/GSL.SP.1997.122.01.13 --- Brian P. Moss: The partitioning of petrophysical data: a review / Geological Society, London, Special Publications, 122:181-252, doi:10.1144/GSL.SP.1997.122.01.14 --- A. Revil, P. A. Pezard, and M. Darot: Electrical conductivity, spontaneous potential and ionic diffusion in porous media / Geological Society, London, Special Publications, 122:253-275, doi:10.1144/GSL.SP.1997.122.01.15 --- Brígida Ramati P. Da Rocha and Tarek M. Habashy: Fractal Geometry, porosity and complex resistivity: from rough pore interfaces to hand specimens / Geological Society, London, Special Publications, 122:277-286, doi:10.1144/GSL.SP.1997.122.01.16 --- Brígida Ramati P. Da Rocha and Tarek M. Habashy: Fractal Geometry, porosity and complex resistivity: from hand specimen to field data / Geological Society, London, Special Publications, 122:287-297, doi:10.1144/GSL.SP.1997.122.01.17 --- M. Ben Clennell: Tortuosity: a guide through the maze / Geological Society, London, Special Publications, 122:299-344, doi:10.1144/GSL.SP.1997.122.01.18 --- J. C. Lofts, J. Bedford, H. Boulton, J. A. van Doorn, and P. Jeffreys: Feature recognition and the interpretation of images acquired from horizontal wellbores / Geological Society, London, Special Publications, 122:345-365, doi:10.1144/GSL.SP.1997.122.01.19 --- D. Goldberg and Y. F. Sun: Scattering attenuation as a function of depth in the Upper Oceanic Crust / Geological Society, London, Special Publications, 122:367-375, doi:10.1144/GSL.SP.1997.122.01.20 --- N. Passas, C. Butenuth, and M. H. De Freitas: An application of the Moiré Method to a study of local strains during rock failure in tension / Geological Society, London, Special Publications, 122:377-388, doi:10.1144/GSL.SP.1997.122.01.21

Note: CONTENTS Abstrac Preface Introduction Analysis of stress Geometry of the Mohr circle Stress characteristic directions Analysis of strain rate Constitutive equations Strain-rate characteristic directions Constitutive geometry Strain-rate tensor The dyadic expression Plastic work rate Coordinate transformation Example The stress solution Velocity equations in the a-characteristic curvilinear coordinates The constant speed solution Velocity equations in the constant density region Solution in the first constant-density subregion Solution in the second constant-density subregion Solution in the passive region Conclusion Literature cited

Note: CONTENTS Abstract Preface Nomenclature Introduction Derivation of the power reflection coefficient-depth variation Possible sources of dielectric constant variation with depth in ice sheets Ice density variations Effect of macroscopic impurity layers Effect of microscopic impurtty layers Changes in inclusion geometry Effect of crystal orientation changes Physical properties of the Cape Folger core Density-depth profile Air bubble-geometry depth profile Crystal orientation-depth profile Radio-echo sounding data Results and conclusions Literature cited

Note: CONTENTS Page Abstract Preface Conversion factors: U.S. customary to metric (SI) units of measurement Background Objectives Profiling system Approach Profiling method Data reduction and interpretation Results Conclusions Recommendations Literature cited Appendix A. Comparison of ground and aerial data

Note: CONTENTS Abstract Preface List of symbols Introduction I. Initiation of ice jams by partial surface obstructions A. Introductory remarks B. Experimental apparatus and procedure C. Dimensional analysis D. Presentation of results and discussion ΙΙ. Thickness of ice jams due to accumulation and transport of ice floes A. Introductory remarks B. Experimental apparatus and procedures C. Presentation of results E. Conclusion III. Compressive strength of floating fragmented ice covers A. Introductory remarks B. Experimental setup and procedure C. Presentation of results and discussion D. Conclusions Literature cited Appendix A: Experimental results on ice jam initiation Appendix B: Effect of surface tension on submergence velocity of ice floes Appendix C: Experimental results for ice jam thickness study Appendix D: Experimental results on compressive strength of fragmented ice cover

Note: CONTENTS Abstract Preface Introduction Test procedure Test program Test samples Number of test for determining strength index Effect of temperature Effect of sample length Effect of load point size Tests on snow Discussion Recommendations Literature cited

Note: CONTENTS Abstract Preface Conversion factors: US, customary to metric (SI) units of measurement Introduction Infrared camera Core samples State House State House Annex State Library Legislative Office Building Public Health Complex Highway Garage Fish and Game Offlces Supreme Court John O. Morton Building Department of Health and Welfare Laboratory Economics of roof reinsulation Conclusions and recommendations Literature cited

Note: CONTENTS Abstract Preface Conversion factors: U.S. customary to metric units of measurements Introduction The freezing proeess Icing observations Geographical distribution of icing and contributing meteorological conditions Extreme icing conditions Extremes of icc accumulation Prediction of icing occurrences Prediction of icing intensity and rate Control methods Measurement of icing rate Conclusions and recommendations Literature cited Appendix A. Maps of icing occurrence and rate Appendix B. Data for computing ship icing rates Appendix C. Estimation of ice accumulation