ALBERT

Note: Table of Contents: Copyright; Additional copies. - Foreword and acknowledgements. - Chapter 1. Cosmochemistry of the Rare Earth Elements: Condensation and Evaporation Processes / by William V. Boynton. - Introduction. - Meteorites. - Astrophysical context for interpretation of cosmochemical data. - Solar nebula. - Solar abundances. - Cosmochemical properties of the REE. - REE condensation reactions. - Activity coefficients. - Partial pressures. - Solid / gas distribution coefficients. - Why are the REE volatilities so different?. - Calculated REE patterns. - Early condensates. - Removing REE in the gas. - Comparison with meteoritic data. - Ultra-refractory component. - Group II inclusions. - FUN inclusions. - REE condensation as a function of oxygen fugacity. - Rims on CAI. - What have we learned from the REE?. - High temperatures were achieved in the solar nebula. - A very efficient mechanism for gas/dust separation existed in the solar nebula. - The high nebular temperatures existed for a long time. - A very intense, very brief, heat source also existed. - The solar nebula was a chaotic environment. - Summary. - Acknowledgements. - References. - Chapter 2. Radiogenic Isotope Geochemistry of Rare Earth Elements / by P. Jonathan Patchett. - Introduction. - Long-lived radioactive isotopes of Rare Earth Elements. - 138La-138Ce decay. - 147Sm-143Nd decay. - 176Lu-176Hf decay. - Cemical variations of La/Ce, Sm/Nd and Lu/Hf ratios. - Geochronological studies. - La-Ce and Lu-Hf chronology. - Sm-Nd chronology. - Defining bulk planetary isotopic evolution. - Isotopic study of planetary interiors. - The Moon. - The Earth. - Nd isotopes in studies of terrestrial crustal evolution. - Model Nd ages of continental crust. - Growth curves for the continental crust. - Origin of granitoids. - Nd isotopes and the sedimentary system. - Characterization of whole crustal terranes. - Crustal Lu-Hf isotopic studies. - Major unsolved problems. - Continental crustal growth curve. - Abundance of Archean continental crust. - Origin of mantle isotopic variations. - References. - Chapter 3. Partitioning of Rare Earth Elements between Major Silicate Minerals and Basaltic Melts / by Gordon A. McKay. - Introduction. - Usefulness of the REE for petrogenetic modelling. - Scope of this chapter. - Caveat. - How partition coefficients are measured. - Phenocryst/matrix studies of natural samples. - Experimental measurement of partition coefficients. - Basic experimental approach. - Equilibrium. - Percent level doping technique. - Beta-track mapping technique. - Other experimental approaches. - Henry's law: The applicability of percent-level doping results. - Factors governing mineral/melt partitioning. - Ionic size and charge of trace element. - Crystal field effects. - Cristallographic versus defect sites: The Henry's law question. - Phase compositions. - Oxidation state. - Thermodynamic relationships: Dependence of partitioning on temperature and composition. - Other predictive approaches. - Special applications. - Eu as an oxygen fugacity indicator. - Origin of the Eu anomaly in lunar mare basalts. - REE partition coefficient patterns for the major minerals. - Plagioclase. - Olivine. - Pyroxene. - Low-Ca pyroxene. - High-Ca pyroxene. - Garnet. - Future directions. - Acknowledgements. - References. - Chapter 4. An Approach to Trace Element Modeling Using a Simple Igneous System as an Example / by Gilbert N. Hanson. - Introduction. - Review of trace element equations. - Melting. - Fractional crystallization. - Melting versus fractional crystallization. - Essential structural constituents. - Example of petrogenetic approach. - Discussion and summary. - Acknowledgements. - References. - Chapter 5. Rare Earth Elements in Upper Mantle Rocks / by W. F. McDonough and Fredrick A. Frey. - Introduction. - Massive peridotites. - Massive peridotites: dominantly lherzolite Western Alps - Lanzo. - Western Alps -Baldissero, Balmuccia. - Eastern Liguria, Italy. - Western Liguria, Italy. - Eastern Pyrenees - France. - Ronda, Spain Effects of late stage alteration on REE. - What can be inferred about the melting process and the segregated melts?. - Massive peridotites: pyroxenite layers and veins and their wall rocks. - Amphibole-bearing pyroxenite veins. - Anhydrous pyroxenite layers. - How were the pyroxenite layers created? Evidence for multistage processes. - Implications for mantle enrichment processes (metasomatism). - Massive peridotites: dominantly harzburgite. - Oceanic peridotites. - Ultramafic xenoliths. - Group I spinel peridotites. - Garnet peridotites. - Pyroxenite and related xenoliths. - Models for REE abundance trends in peridotite xenoliths. - Megacrysts, minerals in xenoliths and damong inclusions. - Megacrysts. - Minerals in peridotites and pyroxenites. - Inclusions in diamonds. - Summary: comparison of peridotites from massifs and xenoliths and implications of REE data for Upper Mantle composition. - Acknowledgements. - References. - Chapter 6. Rare Earth Elements in Metamorphic Rocks / by Richard I. Grauch. - Introduction. - REE residence in metamorphic rocks. - REE mobility during metamorphism. - REE content of metamorphic rocks. - Suggestions for future work. - Acknowledgements. - References. - Chapter 7. Rare Earth Elements in Sedimentary Rocks: Influence of Provenance and Sedimentary Processes / by Scott M. McLennan. - Introduction. - Rare earth element properties and sedimentary rocks. - Cosmochemical considerations. - Geochemical considerations. - Aqueous geochemistry. - Normalizing and notation. - Sedimentary processes. - Weathering. - Diagenesis. - Sedimentary sorting. - REE and provenance studies. - Sedimentary rocks and crustal abundances. - Sedimentation and plate tectonics. - Archean sedimentary rocks and the Archean crust. - Archean greenstone belts. - REE in sedimentary rocks and crustal evolution. - Acknowledgements. - References. - Chapter 8. Aqueous Geochemistry of Rare Earth Elements / by Douglas G. Brookins. - Introduction. - The trivalent lanthanides (Ln III). - Types of complexes in solution. - Hydrolysis products. - Phosphate complexes. - Carbonate complexes. - Halide complexes. - Complexes with total dissolved sulfur. - Gadolinium-Terbium fractionation?. - Scandium and Yttrium. - Europium (II). - Cerium (IV). - Eh-pH diagrams. - Cerium. - Europium. - Other lanthanides. - Lanthanides in ocean waters. - Lanthanides and actinides. - Concluding remarks. - Acknowledgements. - References. - Chapter 9. Rare Earth Elements in Lunar Materials / by Larry A. Haskin. - Introduction. - The nature of planet moon. - The magma ocean hypothesis and its presumed products. - Lunar REE patterns. - Highland plutonic rocks. - Anorthosites. - Durâtes, troctolites, norites, and gabbros. - Lunar felsite (granite). - Highland volcanic rocks: KREEP. - Mare basalts. - Mare basalt sources as magma ocean products. - Assimilation of crusted material during basalt petrogenesis. - Glassy spherules. - Soils and breccias. - Caveat. - Acknowledgements. - References. - Chapter 10. Compositional and Phase Relations among Rare Earth Element Minerals / by Donald M. Burt. - Introduction. - Geochemical background. - Minerals. - Coupled substitutions. - Vector treatment. - Application to selected mineral groups. - Fluorides. - Carbonates. - Fluorocarbonates. - Monazite, xenotime, zircon, and related phases. - Apatites. - Florencite and related phases. - A-B oxides (niobates, tantalates, titanates, ferrites). - Fergusonitelbetafergusonite, ABO4. - Perovskite, ABO3. - Aeschyniteleuxenite, AB2O6. - Pyrochlore, A1-2B2O6(O,F,OH). - Allanite. - Titanite. - Garnet. - Gadolinite. - Chevkinite/perrierite. - Element distributions: acid-base relations. - Summary. - Acknowledgemen

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: Continental Rift Basins --- H. G. Reading: African Rift tectonics and sedimentation, an introduction / Geological Society, London, Special Publications, 25:3-7, doi:10.1144/GSL.SP.1986.025.01.01 --- A. T. Grove: Geomorphology of the African Rift System / Geological Society, London, Special Publications, 25:9-16, doi:10.1144/GSL.SP.1986.025.01.02 --- African Rift Basin Development --- J. D. Fairhead: Geophysical controls on sedimentation within the African Rift Systems / Geological Society, London, Special Publications, 25:19-27, doi:10.1144/GSL.SP.1986.025.01.03 --- B. R. Rosendahl, D. J. Reynolds, P. M. Lorber, C. F. Burgess, J. McGill, D. Scott, J. J. Lambiase, and S. J. Derksen: Structural expressions of rifting: lessons from Lake Tanganyika, Africa / Geological Society, London, Special Publications, 25:29-43, doi:10.1144/GSL.SP.1986.025.01.04 --- B. H. Baker: Tectonics and volcanism of the southern Kenya Rift Valley and its influence on rift sedimentation / Geological Society, London, Special Publications, 25:45-57, doi:10.1144/GSL.SP.1986.025.01.05 --- L. A. J. Williams and G. R. Chapman: Relationships between major structures, salic volcanism and sedimentation in the Kenya Rift from the equator northwards to Lake Turkana / Geological Society, London, Special Publications, 25:59-74, doi:10.1144/GSL.SP.1986.025.01.06 --- C. J. Swain, N. J. Skinner, and M. A. Khan: Depth to metamorphic basement in the Koobi Fora region from seismic and gravity data / Geological Society, London, Special Publications, 25:75-84, doi:10.1144/GSL.SP.1986.025.01.07 --- R. T. Watkins: Volcano-tectonic control on sedimentation in the Koobi Fora sedimentary basin, Lake Turkana / Geological Society, London, Special Publications, 25:85-95, doi:10.1144/GSL.SP.1986.025.01.08 --- Siliciclastic, Chemical, Pedogenic and Organic Sediments in Contemporary Rift Environments --- I. Reid and L. E. Frostick: Slope processes, sediment derivation and landform evolution in a rift valley basin, northern Kenya / Geological Society, London, Special Publications, 25:99-111, doi:10.1144/GSL.SP.1986.025.01.09 --- L. E. Frostick and I. Reid: Evolution and sedimentary character of lake deltas fed by ephemeral rivers in the Turkana basin, northern Kenya / Geological Society, London, Special Publications, 25:113-125, doi:10.1144/GSL.SP.1986.025.01.10 --- A. S. Cohen, D. S. Ferguson, P. M. Gram, S. L. Hubler, and K. W. Sims: The distribution of coarse-grained sediments in modern Lake Turkana, Kenya: implications for clastic sedimentation models of rift lakes / Geological Society, London, Special Publications, 25:127-139, doi:10.1144/GSL.SP.1986.025.01.11 --- R. F. Yuretich: Controls on the composition of modern sediments, Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:141-152, doi:10.1144/GSL.SP.1986.025.01.12 --- P. I. Abell and J. P. McClory: Sedimentary carbonates as isotopic marker horizons at Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:153-158, doi:10.1144/GSL.SP.1986.025.01.13 --- R. W. Renaut, J. J. Tiercelin, and R. B. Owen: Mineral precipitation and diagenesis in the sediments of the Lake Bogoria basin, Kenya Rift Valley / Geological Society, London, Special Publications, 25:159-175, doi:10.1144/GSL.SP.1986.025.01.14 --- H. P. Eugster: Lake Magadi, Kenya: a model for rift valley hydrochemistry and sedimentation? / Geological Society, London, Special Publications, 25:177-189, doi:10.1144/GSL.SP.1986.025.01.15 --- R. Crossley: Sedimentation by termites in the Malawi Rift Valley / Geological Society, London, Special Publications, 25:191-199, doi:10.1144/GSL.SP.1986.025.01.16 --- J. Casanova: East African Rift stromatolites / Geological Society, London, Special Publications, 25:201-210, doi:10.1144/GSL.SP.1986.025.01.17 --- A. Hamilton and D. Taylor: Mire sediments in East Africa / Geological Society, London, Special Publications, 25:211-217, doi:10.1144/GSL.SP.1986.025.01.18 --- Sedimentary History of African Rift Basins --- J. J. Tiercelin: The Pliocene Hadar Formation, Afar depression of Ethiopia / Geological Society, London, Special Publications, 25:221-240, doi:10.1144/GSL.SP.1986.025.01.19 --- M. A. J. Williams, Getaneh Assefa, and D. A. Adamson: Depositional context of Plio-Pleistocene hominid-bearing formations in the Middle Awash valley, southern Afar Rift, Ethiopia / Geological Society, London, Special Publications, 25:241-251, doi:10.1144/GSL.SP.1986.025.01.20 --- R. Bonnefille, C. Robert, A. M. Lezine, G. Perinet, G. Delibrias, C. Elenga, J. P. Herbin, and J. J. Tiercelin: Palaeoenvironment of Lake Abijata, Ethiopia, during the past 2000 years / Geological Society, London, Special Publications, 25:253-265, doi:10.1144/GSL.SP.1986.025.01.21 --- P. G. Williamson and R. J. G. Savage: Early rift sedimentation in the Turkana basin, northern Kenya / Geological Society, London, Special Publications, 25:267-283, doi:10.1144/GSL.SP.1986.025.01.22 --- A. Hill, G. Curtis, and R. Drake: Sedimentary stratigraphy of the Tugen Hills, Baringo, Kenya / Geological Society, London, Special Publications, 25:285-295, doi:10.1144/GSL.SP.1986.025.01.23 --- C. K. Nyamweru: Quaternary environments of the Chalbi basin, Kenya: sedimentary and geomorphological evidence / Geological Society, London, Special Publications, 25:297-310, doi:10.1144/GSL.SP.1986.025.01.24 --- R. B. Owen and R. W. Renaut: Sedimentology, stratigraphy and palaeoenvironments of the Holocene Galana Boi Formation, NE Lake Turkana, Kenya / Geological Society, London, Special Publications, 25:311-322, doi:10.1144/GSL.SP.1986.025.01.25 --- A. Vincens, J. Casanova, and J. J. Tiercelin: Palaeolimnology of Lake Bogoria (Kenya) during the 4500 BP high lacustrine phase / Geological Society, London, Special Publications, 25:323-330, doi:10.1144/GSL.SP.1986.025.01.26 --- N. Thouveny and M. Taieb: Preliminary magnetostratigraphic record of Pleistocene deposits, Lake Natron Basin, Tanzania / Geological Society, London, Special Publications, 25:331-336, doi:10.1144/GSL.SP.1986.025.01.27 --- Sedimentation and the Preservation of Fossil Faunas --- R. L. Hay: Role of tephra in the preservation of fossils in Cenozoic deposits of East Africa / Geological Society, London, Special Publications, 25:339-344, doi:10.1144/GSL.SP.1986.025.01.28 --- M. Pickford: Sedimentation and fossil preservation in the Nyanza Rift System, Kenya / Geological Society, London, Special Publications, 25:345-362, doi:10.1144/GSL.SP.1986.025.01.29 --- C. Denys, J. Chorowicz, and J. J. Tiercelin: Tectonic and environmental control on rodent diversity in the Plio-Pleistocene sediments of the African Rift System / Geological Society, London, Special Publications, 25:363-372, doi:10.1144/GSL.SP.1986.025.01.30

Note: J. B. Dawson, D. A. Carswell, J. Hall, and K.H. Wedepohl: Introduction / Geological Society, London, Special Publications, 24:vii-viii, doi:10.1144/GSL.SP.1986.024.01.01 --- R. Meissner: Twenty years of deep seismic reflection profiling in Germany—a contribution to our knowledge of the nature of the lower Variscan crust / Geological Society, London, Special Publications, 24:1-10, doi:10.1144/GSL.SP.1986.024.01.02 --- D. H. Matthews: Seismic reflections from the lower crust around Britain / Geological Society, London, Special Publications, 24:11-21, doi:10.1144/GSL.SP.1986.024.01.03 --- S. B. Smithson: A physical model of the lower crust from North America based on seismic reflection data / Geological Society, London, Special Publications, 24:23-34, doi:10.1144/GSL.SP.1986.024.01.04 --- V. Haak and R. Hutton: Electrical resistivity in continental lower crust / Geological Society, London, Special Publications, 24:35-49, doi:10.1144/GSL.SP.1986.024.01.05 --- J. Hall: The physical properties of layered rocks in deep continental crust / Geological Society, London, Special Publications, 24:51-62, doi:10.1144/GSL.SP.1986.024.01.06 --- D. S. Chapman: Thermal gradients in the continental crust / Geological Society, London, Special Publications, 24:63-70, doi:10.1144/GSL.SP.1986.024.01.07 --- J. F. Dewey: Diversity in the lower continental crust / Geological Society, London, Special Publications, 24:71-78, doi:10.1144/GSL.SP.1986.024.01.08 --- N. J. Kusznir and R. G. Park: Continental lithosphere strength: the critical role of lower crustal deformation / Geological Society, London, Special Publications, 24:79-93, doi:10.1144/GSL.SP.1986.024.01.09 --- K. Weber: Metamorphism and crustal rheology—implications for the structural development of the continental crust during prograde metamorphism / Geological Society, London, Special Publications, 24:95-106, doi:10.1144/GSL.SP.1986.024.01.10 --- S. A. F. Murrell: The role of deformation, heat, and thermal processes in the formation of the lower continental crust / Geological Society, London, Special Publications, 24:107-117, doi:10.1144/GSL.SP.1986.024.01.11 --- K. Fuchs: Intraplate seismicity induced by stress concentration at crustal heterogeneities—the Hohenzollern Graben, a case history / Geological Society, London, Special Publications, 24:119-132, doi:10.1144/GSL.SP.1986.024.01.12 --- K. Lambeck: Crustal structure and evolution of the central Australian basins / Geological Society, London, Special Publications, 24:133-145, doi:10.1144/GSL.SP.1986.024.01.13 --- R. W. Kay and S. M. Kay: Petrology and geochemistry of the lower continental crust: an overview / Geological Society, London, Special Publications, 24:147-159, doi:10.1144/GSL.SP.1986.024.01.14 --- J. Touret: Fluid inclusions in rocks from the lower continental crust / Geological Society, London, Special Publications, 24:161-172, doi:10.1144/GSL.SP.1986.024.01.15 --- S. R. Taylor and S.M. McLennan: The chemical composition of the Archaean crust / Geological Society, London, Special Publications, 24:173-178, doi:10.1144/GSL.SP.1986.024.01.16 --- R. L. Rudnick and S. R. Taylor: Geochemical constraints on the origin of Archaean tonalitic-trondhjemitic rocks and implications for lower crustal composition / Geological Society, London, Special Publications, 24:179-191, doi:10.1144/GSL.SP.1986.024.01.17 --- D. A. Carswell and S.J. Cuthbert: Eclogite facies metamorphism in the lower continental crust / Geological Society, London, Special Publications, 24:193-209, doi:10.1144/GSL.SP.1986.024.01.18 --- S. Moorbath and P.N. Taylor: Geochronology and related isotope geochemistry of high-grade metamorphic rocks from the lower continental crust / Geological Society, London, Special Publications, 24:211-220, doi:10.1144/GSL.SP.1986.024.01.19 --- B. F. Windley and J. Tarney: The structural evolution of the lower crust of orogenic belts, present and past / Geological Society, London, Special Publications, 24:221-230, doi:10.1144/GSL.SP.1986.024.01.20 --- C. Pin and J. D. Sills: Petrogenesis of layered gabbros and ultramafic rocks from Val Sesia, the Ivrea Zone, NW Italy: trace element and isotope geochemistry / Geological Society, London, Special Publications, 24:231-249, doi:10.1144/GSL.SP.1986.024.01.21 --- S. Robertson: Evolution of the late Archaean lower continental crust in southern West Greenland / Geological Society, London, Special Publications, 24:251-260, doi:10.1144/GSL.SP.1986.024.01.22 --- L. Schiøtte, D. Bridgwater, K.D. Collerson, A.P. Nutman, and A.B. Ryan: Chemical and isotopic effects of late Archaean high-grade metamorphism and granite injection on early Archaean gneisses, Saglek-Hebron, northern Labrador / Geological Society, London, Special Publications, 24:261-273, doi:10.1144/GSL.SP.1986.024.01.23 --- D. M. Shaw, J. J. Cramer, M. D. Higgins, and M. G. Truscott: Composition of the Canadian Precambrian shield and the continental crust of the earth / Geological Society, London, Special Publications, 24:275-282, doi:10.1144/GSL.SP.1986.024.01.24 --- M. Raith and P. Raase: High grade metamorphism in the granulite belt of Finnish Lapland / Geological Society, London, Special Publications, 24:283-295, doi:10.1144/GSL.SP.1986.024.01.25 --- R. C. Newton and E.C. Hansen: The South India-Sri Lanka high-grade terrain as a possible deep-crust section / Geological Society, London, Special Publications, 24:297-307, doi:10.1144/GSL.SP.1986.024.01.26 --- H.-G. Stosch, G. W. Lugmair, and H.A. Seck: Geochemistry of granulite-facies lower crustal xenoliths: implications for the geological history of the lower continental crust below the Eifel, West Germany / Geological Society, London, Special Publications, 24:309-317, doi:10.1144/GSL.SP.1986.024.01.27 --- H. Downes and A. Leyreloup: Granulitic xenoliths from the French Massif Central—petrology, Sr and Nd isotope systematics and model age estimates / Geological Society, London, Special Publications, 24:319-330, doi:10.1144/GSL.SP.1986.024.01.28 --- J. R. Broadhurst: Mineral reactions in xenoliths from the Colorado Plateau; implications for lower crustal conditions and fluid composition / Geological Society, London, Special Publications, 24:331-349, doi:10.1144/GSL.SP.1986.024.01.29 --- P. W. C. van Calsteren, N. B. W. Harris, C. J. Hawkesworth, M. A. Menzies, and N. W. Rogers: Xenoliths from southern Africa: a perspective on the lower crust / Geological Society, London, Special Publications, 24:351-362, doi:10.1144/GSL.SP.1986.024.01.30 --- W. L. Griffin and S. Y. O’Reilly: The lower crust in eastern Australia: xenolith evidence / Geological Society, London, Special Publications, 24:363-374, doi:10.1144/GSL.SP.1986.024.01.31

Note: TABLE OF CONTENTS: ACKNOWLEDGEMENTS. - PREFACE. - INTRODUCTION. - SYMBOLS AND NOTATION. - PART I. FUNDAMENTAL PHYSICS AND MATERIALS TECHNOLOGY OF ICE. - 1.General Concepts. - 1. Introduction. - 2. Equations of Balance. - 3. Material Response. - (a) General constitutive relations, simple materials. - (b) The rule of material objectivity. - (c) Material symmetry. - (d) Constitutive response for isotropie bodies. - (e) Materials with bounded memory-some constitutive representations. - (f) Incompressibility. - (g) Some representations of isotropic functions. - 4. The Entropy Principle. - (a) The viscous heat-conducting compressible fluid. - (b) The viscous heat-conducting incompressible fluid. - (c) Pressure and extra stress as independent variables. - (d) Thermoelastic solid. - (e) Final remarks. - 5. Phase Changes. - (a) Phase changes for a viscous compressible heat-conducting fluid. - (b) Phase changes for a viscous incompressible heat-conducting fluid. - References. - 2. A Brief Summary of Constitutive Relations for Ice. - 1. Preliminary Remarks. - 2. The Mechanical Properties of Hexagonal Ice. - (a) The crystal structure of ordinary ice. - (b) The elastic behavior of hexagonal ice. - (c) The inelastic behavior of single-crystal ice. - 3. The Mechanical Properties of Polycrystalline Ice. - (a) The elastic behavior of polycrystalline ice. - (b) Linear viscoelastic properties of polycrystalline ice. - (α) General theory. - (β) Experimental results. - (c) Non-linear viscous deformation and creep. - (α) Results of creep tests. - (β) Generalization to a three-dimensional flow law. - (γ) Other flow laws. - 4. The Mechanical Properties of Sea Ice. - (a) The phase diagram of standard sea ice and its brine conten. - (b) Elastic properties. - (c) Other material properties. - References. - PART II. THE DEFORMATION OF AN ICE MASS UNDER ITS OWN WEIGHT. - 3. A Mathematical Ice-flow Model and its Application to Parallel-sided Ice Slabs. - 1. Motivation and Physical Description. - 2. The Basic Model - Its Field Equations and Boundary Conditions. - (a) The field equations. - (α) Cold ice region. - (β) Temperate ice region. - (b) Boundary conditions. - (α) At the free surface. - (β) Along the ice-water interface. - (γ) Along the bedrock surface. - (δ) Along the melting surface. - 3. The Response of a Parallel-sided Ice Slab to Steady Conditions. - (a) Dimensionless forms of the field equations. - (b) Parallel-sided ice slab, a first approximation to glacier and ice-shelf flow dynamics. - (α) Velocity and temperature fields x-independent. - (β) Extending and compressing flow. - (γ) Floating ice shelves 4. Concluding Remark. - References. - 4. Thermo-mechanical Response of Nearly Parallel-sided Ice Slabs Sliding over their Bed. - 1. Motivation. - 2. The Basic Boundary-value Problem and its Reduction to Linear Form. - 3. The Solution of the Boundary-value Problems. - (a) Zeroth-order problem. - (b) First-order problem. - (α) Harmonic perturbation from uniform flow for a zero accumulation rate. - (β) Analytic solution for a Newtonian fluid. - (γ) Numerical solution for non-linear rheology. - (δ) Effect of a steady accumulation rate. - (ε) A historical note on a previous approach. - (η) The first-order temperature problem. - (c) Numerical results for steady state. - (α) Transfer of bottom protuberances to the surface. - (β) Basal stresses. - (γ) Surface velocities. - (δ) Effect of a steady accumulation rate. - 4. Remarks on Response to a Time-dependent Accumulation Rate. - 5. Surface-wave Stability Analysis. - (a) The eigenvalue problem. - (b) Discussion of results. - 6. Final Remarks. - References. - 5. The Application of the Shallow-ice Approximation. - 1. Background and Previous Work. - 2. Derivation of the Basal Shear-stress Formula by Integrating the Momentum Equations over Ice Thickness. - (a) Derivation. - (b) The use of the basal shear-stress formula in applied glaciology. - 3. Solution of the Ice-flow Problem using the Shallow-ice Approximation. - (a) Governing equations. - (b) Shallow-ice approximation. - (c) Construction of the perturbation solution. - (d) Results. - (e) Temperature field. - 4. Theoretical Steady-state Profiles. - (a) Earlier theories and their limitations. - (b) Surface profiles determined by using the shallow-ice approximation. - 5. An Alternative Scaling - a Proper Analysis of Dynamics of Ice Sheets with Ice Divides. - (a) Finite-bed inclination. - (b) Small-bed inclination. - (c) Illustrations. - References. - 6. The Response of a Glacier or an Ice Sheet to Seasonal and Climatic Changes. - 1. Statement of the Problem. - 2. Development of the Kinematic Wave Theory. - (a) Full non-linear theory. - (b) Perturbation expansion-linear theory. - (c) An estimate for the coefficients C and D. - (d) Boundary and initial conditions. - 3. Theoretical Solutions for a Model Glacier. - (a) Solutions neglecting diffusion. - (b) Theoretical solutions for a diffusive model. - (α) Coefficient functions for the special model. - (β) Solution for a step function. - (γ) General solution for uniform accumulation rate. - (δ) The inverse problem - calculation of climate from variations of the snout. - 4. General Treatment for an Arbitrary Valley Glacier. - (a) Fourier analysis in time. - (α) Low-frequency response. - (β) High-frequency response. - (γ) Use of the results. - (b) Direct integration methods. - 5. Derivation of the Surface-wave Equation from First Principles Non-linear Theory. - (a) Surface waves in the shallow-ice approximation. - (α) Integration by the methods of characteristics. - (β) An illustrative example. - (γ) A remark on linearization. - (δ) Effects of diffusion. - (b) Remarks regarding time-dependent surface profiles in ice sheets. - (c) Long waves in an infinite ice slab - Is accounting for diffusion enough?. - (α) Basic equations. - (β) Construction of perturbation solutions. - (γ) Numerical results. - 6. Concluding Remarks. - References. - 7. Three-dimensional and Local Flow Effects in Glaciers and Ice Sheets. - 1. Introduction. - 2. Effect of Valley Sides on the Motion of a Glacier. - (a) Solutions in special cases. - (α) Exact solutions for the limiting cases. - (β) Solution for a slightly off-circular channel. - (γ) A note on very deep and wide channels. - (b) A useful result for symmetrical channels with no boundary slip. - (c) Numerical solution - discussion of results. - 3. Three-dimensional Flow Effects in Ice Sheets. - (a) Basic equations. - (b) Decoupling of the stress-velocity problem from the problem of surface profile. - (c) The equation describing the surface geometry. - (d) The margin conditions. - 4. Variational Principles. - (a) Fundamental variational theorem. - (b) Variational principle for velocities. - (c) Reciprocal variational theorem. - (d) Maximum and minimum principles. - (e) Adoption of the variational principles to ice problems. - 5. Discussion of Some Finite-element Solutions. - References. - Appendix: Detailed Calculations Pertaining to Higher-order Stresses in the Shallow-ice Approximation. - AUTHOR INDEX. - SUBJECT INDEX.