ALBERT

Note: Contents: Preface. - Notation. - 1 Introduction. - 1.1 Background. - 1.2 What is an inverse problem?. - 1.3 What's here. - 2 Physics of the ocean circulation. - 2.1 Basic physical elements. - 2.2 Observations. - 2.3 The classical problem. - 2.4 Hidaka's problem and the algebraic formulation. - 2.5 The absolute velocity problem in retrospect. - 3 Basic machinery. - 3.1 Matrix and vector algebra. - 3.2 Simple statistics; regression. - 3.3 Least squares. - 3.4 The singular vector expansion. - 3.5 Using a steady model-combined least squares and adjoints. - 3.6 Gauss-Markov estimation, mapmaking, and more simultaneous equations. - 3.7 Improving solutions recursively. - 3.8 Estimation from linear constraints - a summary. - 4 The steady ocean circulation inverse problem. - 4.1 Choosing a model. - 4.2 The initial reference level. - 4.3 Simple examples. - 4.4 Property fluxes. - 4.5 Application to real data sets. - 4.6 Climatologies and box models. - 4.7 The β-spiral and variant methods. - 5 Additional useful methods. - 5.1 Inequality constraints; nonnegative least squares. - 5.2 Linear programming and eclectic models. - 5.3 Quantifying water mass; empirical orthogonal functions. - 5.4 Kriging and other variants of Gauss-Markov estimation. - 5.5 Nonlinear problems. - 6 The time-dependent inverse problem. - 6.1 Some basic ideas and notation. - 6.2 Estimation. - 6.3 Control problems: Pontryagin principle and adjoint methods. - 6.4 Duality and simplification: steady-state filter and adjoint. - 6.5 Controllability and observability. - 6.6 Nonlinear models. - 6.7 Assimilation. - 6.8 Other minimization methods and the search for practicality. - 6.9 Forward models. - 6.10 A last word. - References. - Author Index. - Subject Index.

Note: Contents Preface Part I Introduction 1 Applications and uses of diatoms: prologue / EUGENE F. STOERMER AND JOHN P. SMOL Part II Diatoms as indicators of environmental change in flowing waters and lakes 2 Assessing environmental conditions in rivers and streams with diatoms / R. JAN STEVENSON AND YANGDONG PAN 3 Diatoms as indicators of hydrologic and climatic change in saline lakes / SHERILYN C. FRITZ, BRIAN F. CUMMING, FRANQOISE GASSE, AND KATHLEEN R. LAIRD 4 Diatoms as mediators of biogeochemical silica depletion in the Laurentian Great Lakes / CLAIRE L. SCHELSKE 5 Diatoms as indicators of surface water acidity / RICHARD W. BATTARBEE, DONALD F. CHARLES, SUSHIL S. DIXIT, AND INGEMAR RENBERG 6 Diatoms as indicators of lake eutrophication / ROLAND I. HALL AND JOHN P. SMOL 7 Continental diatoms as indicators of long-term environmental change / J. PLATT BRADBURY 8 Diatoms as indicators of water level change in freshwater lakes / JULIE A. WOLIN AND HAMISH C. DUTHIE Part III Diatoms as indicators in extreme environments 9 Diatoms as indicators of environmental change near arctic and alpine treeline / ANDRE F. LOTTER, REINHARD PIENITZ, AND ROLAND SCHMIDT 10 Freshwater diatoms as indicators of environmental change in the High Arctic / MARIANNE S. V. DOUGLAS AND JOHN P. SMOL 11 Diatoms as indicators of enviromental change in antarctic freshwaters / SARAH A. SPAULDING AND DIANE M. MCKNIGHT 12 Diatoms of aerial habitats / JEFFREY R. JOHANSEN Part IV Diatoms as indicators in marine and estuarine environments 13 Diatoms as indicators of coastal paleoenvironments and relative sea-level change / LUC DENYS AND HEIN DE WOLF 14 Diatoms and environmental change in brackish waters / PAULI SNOEIJS 15 Applied diatom studies in estuaries and shallow coastal environments / MICHAEL J. SULLIVAN 16 Estuarine paleoenyironmental reconstructions using diatoms / SHERRI R. COOPER 17 Diatoms and marine paleoceanography / CONSTANCE SANCETTA PartV Other applications 18 Diatoms and archeology / STEVEN JUGGINS AND NIGEL CAMERON 19 Diatoms in oil and gas exploration / WILLIAM N. KREBS 20 Forensic science and diatoms / ANTHONY J. PEABODY 21 Toxic and harmful marine diatoms / GRETA A. FRYXELL AND MARIA C. VILLAC 22 Diatoms as markers of atmospheric transport / MARGARET A. HARPER 23 Diatomite / DAVID M. HARWOOD Part VI Conclusions 24 Epilogue: a view to the future / EUGENE F. STOERMER AND JOHN P. SMOL Glossary, and acronyms Index

Note: Contents Editor's note Acknowledgements page xu Notes on translations and definitions Abstract Preface Introduction 1 Geocryology as part of planetary cryology 2 Frozen rocks as natural-historical geological formations 3 History of research of the zone of permafrost and the frozen materials composing this zone 4 Structure, problems and scientific themes of geocryology 5 Methodological basis of geocryology I Thermal-physical, physico-chemical and mechanical processes in freezing, frozen and thawing ground and their manifestation in the permafrost regions 1 Thermal-physical processes in freezing and thawing ground 1.1 Heat transfer and temperature field in ground 1.2 Freezing (crystallization) of water and melting of ice in the ground 1.3 Sublimation and desublimation of moisture in frozen rocks 1.4 Freezing and thawing of ground 1.5 Methods for solving soil freezing (thawing) problems and approximate formulae for freezing and thawing depth calculations 2 Water transfer and ice formation in soils 2.1 Nature and mechanism of moisture migration in soils 2.2 Water transfer and ice formation in frozen soil 2.3 Water transfer and ice formation in freezing and thawing soils 3 Physico-chemical and mechanical processes in freezing and thawing ground 3.1 Chemical reactions and processes in freezing and thawing soils 3.2 Physico-chemical and mechanical processes in freezing and thawing soils 3.3 Physical-mechanical processes in frozen soils caused by changes in temperature 3.4 Physical and chemical processes in frozen soils caused by an external load 4 Structure and texture of freezing and thawing soils 4.1 Thermal-physical and physical-mechanical conditions of development of migrational-segregated ice interlayers 4.2 Basic types of cryogenic structure 4.3 Formation of structure in freezing and thawing soils 4.4 Structural associations and types of contact in frozen soils 5 Cryogenic geological processes and phenomena 5.1 Classification of processes and phenomena 5.2 Frost heaving of soils 5.3 Frost cracking (fissuring) and polygonal formations, surface and underground 5.4 Thermokarst 5.5 Slope processes and phenomena 5.6 Processes and effects associated with the activity of water, glaciers and other geological agents II Composition, cryogenic structure and properties of frozen rocks 6 Formation of sedimentary materials in the permafrost regions (cryolithogenesis) 6.1 Sediment genesis in the permafrost regions 6.2 Transformation of loose deposits of the permafrost regions into rock 6.3 Formation of useful mineral deposits at different stages of cryogenesis 7 Composition and structure of frozen earth materials 7.1 Characteristics of organic, mineral and chemical composition of frozen earth materials 7.2 Unfrozen water and ice in ground 7.3 Textural characteristics of the frozen material 7.4 Microstructure of frozen soils 8 Properties of frozen soils 8.1 Physical properties of the frozen materials 8.2 Thermal-physical properties of rocks 8.3 Moisture exchange properties of soils 8.4 Mechanical properties of frozen ground 9 Characteristics of the basic genetic types of frozen ground 9.1 Features of the cryogenic types of frozen strata 9.2 Composition and cryogenic structure of the principal geologic-genetic types of sedimentary materials in the permafrost regions 9.3 Natural ice as a monomineral rock III Principles of the formation and development of the frozen strata and layers of seasonal freezing and thawing 10 Thermodynamic and climatic conditions for formation of the frozen layers 10.1 Energy balance of the Earth 10.2 Thermodynamic conditions for development of seasonally and perennially frozen ground 10.3 Frozen ground as a result of zonation of thermal- and mass-exchange processes on the Earth's surface and in the atmosphere 11 Seasonal freezing and thawing of ground 11.1 Formation of the layer of seasonal freezing and thawing of soil 11.2 Types of seasonal freezing and thawing of the ground 11.3 The influence oflandscape-climatic factors on the temperature regime and depth of seasonal freezing and thawing of the ground 12 Development of the temperature regime and the thickness of the permafrost 12.1 Present-day knowledge of the development of permafrost 12.2 The effect of boundary conditions on the permafrost thickness and temperature regime 12.3 Dependence of the permafrost thickness and temperature regime on geological factors and processes 13 Taliks and groundwater in the permafrost zone 13.1 The types and formation of taliks in the permafrost zone 13.2 Groundwater of the permafrost regions 13.3 Interaction of groundwater with the permafrost and types of cryohydrogeological structures IV Regional features and evolution of permafrost 14 Permafrost evolution in the Earth's history 14.1 History of the development of permafrost and its distribution on the planet 14.2 Reasons for the development and evolution of permafrost in the Earth's history 14.3 The history of geocryological development and the main stages of permafrost formation on the territory of the former USSR in the Late Cenozoic 15 Zonal and regional features of present-day geocryological conditions in the territories of the former USSR 15.1 Distribution of permafrost and spatial variations of its mean annual temperature 15.2 Structure of the permafrost and spatial variability of its thickness 15.3 Distribution of main types of seasonal ground thawing and freezing 16 Principles and methods for regional geocryological investigations 16.1 Geocryological survey as the basis for regional investigation of the seasonally and perennially freezing zones 16.2 The methods and carrying-out of geocryological surveys 16.3 Classification and regionalization in the course of geocryological survey 16.4 Regionalization in geocryological mapping V Rational use of frozen ground and environmental protection in the course of economic development of the permafrost regions 17 The effect of different types of development on the natural geocryological environment 17.1 The basic principles of rational use of frozen ground in the course of the economic development of the permafrost regions 17.2 Regional environmental change in the course of development of extensive areas within the permafrost zone 17.3 Economic development of the permafrost regions with various kinds of construction 17.4 Development in the permafrost regions for the mining industry and underground engineering 17.5 Types of agrobiological development in the permafrost regions 18 Ensuring the stability of engineering structures in the permafrost regions 18.1 Principles of construction on permafrost (bases and foundations) 18.2 Methods of amelioration of frozen ground for foundations 18.3 Principles of foundation design and selection of type of foundation for construction on permafrost 18.4 Normative documents for engineering design and construction in the permafrost regions 19 Engineering geology in support of design, construction and operation of structures in the permafrost regions 19.1 Engineering-geological survey in the permafrost regions 19.2 Forecasting change in the geocryological conditions in the course of development 19.3 Principles and methods of the control of cryogenic processes 19.4 The basis of the rational use and protection of the geological environment in the permafrost regions References Index

Note: Contents: Preface. - List of Symbols. - 1 Groundwater flow. - 1.1 Darcy's law. - 1.1.1 The limits of Darcy's law. - 1.1.2 Driving forces for groundwater flow. - 1.2 Crustal permeability. - 1.2.1 Permeability versus porosity. - 1.2.2 Heterogeneity and anisotropy. - 1.2.3 Scale dependence. - 1.2.4 Depth dependence. - 1.2.5 Time dependence. - 1.2.6 Some limiting values. - 1.3 Conceptualizing groundwater systems. - 1.4 The continuum approach. - 1.5 The groundwater flow equation. - 1.5.1 Conservation of mass. - 1.5.2 The storage term. - 1.5.3 Various forms of the groundwater flow equation Problems. - 2 Solute transport. - 2.1 Governing equations. - 2.1.1 Molecular diffusion. - 2.1.2 Advection. - 2.1.3 Mechanical dispersion. - 2.1.4 Mass balance equation. - 2.1.5 Chemical reactions. - 2.1.6 Initial and boundary conditions. - 2.2 Numerical solution techniques. - 2.3 Density-driven flow. - 2.4 Multicomponent diffusion. - 2.5 Multicomponent reactive transport. - 2.5.1 Rate-based reactions. - 2.5.2 Surface reactions. - 2.5.3 Homogeneous reactions. - 2.5.4 Heterogeneous reactions. - 2.5.5 Solution algorithms Problems. - 3 Heat transport. - 3.1 Governing equations. - 3.1.1 Choice of dependent variables. - 3.1.2 Statements of mass and energy conservation. - 3.1.3 A form of Darcy's law for two-phase flow of compressible fluids. - 3.1.4 Conductive heat flux. - 3.1.5 One-dimensional forms of the governing equations. - 3.1.6 Extending the governing equations to three dimensions. - 3.1.7 Assumptions. - 3.1.8 Fluid properties. - 3.1.9 Numerical solution. - 3.2 Initial and boundary conditions. - 3.3 Temperature-based formulations. - 3.4 One-dimensional groundwater flow. - 3.4.1 Steady vertical flow. - 3.4.2 Flow in a confined aquifer or fault zone. - 3.5 Dimensionless numbers. - 3.5.1 Nusselt number. - 3.5.2 Peclet number. - 3.5.3 Rayleigh number. - 3.6 Buoyancy-driven flow. - 3.7 Heatpipes Problems. - 4Regional-scale flow and transport. - 4.1Sources and sinks of fluid. - 4.1.1 Geologic forcing. - 4.1.2 Anomalous fluid pressures. - 4.1.3 Hydraulic fracturing. - 4.1.4 The Gulf Coast. - 4.1.5 Accretionary prisms. - 4.2 Regional-scale solute transport. - 4.2.1 Groundwater age. - 4.2.2 Large-scale dispersion. - 4.2.3 Evolution of regional groundwater chemistry. - 4.3 Regional-scale heat transfer. - 4.3.1 The conductive regime in sedimentary basins. - 4.3.2 Thermal effects of groundwater flow in sedimentary basins. - 4.3.3 Some case studies of sedimentary basins. - 4.3.4 An example from volcanic terrane. - 4.3.5 The stress-heat flow paradox of the San Andreas fault Problems. - 5 Ore deposits. - 5.1Mississippi Valley-type deposits. - 5.1.1 Evidence for regional-scale brine migration. - 5.1.2 The salt problem. - 5.1.3 Controls on ore deposition. - 5.1.4 Driving forces for fluid flow. - 5.1.5 The Irish MVTs. - 5.2 Sediment-hosted uranium. - 5.2.1 Redox control of uranium solubility. - 5.2.2 Tabular uranium deposits. - 5.2.3 Unconformity-type uranium deposits. - 5.3 Supergene enrichment of porphyry copper. - 5.4 Colombian emeralds. - Problems. - 6 Hydrocarbons. - 6.1 Maturation. - 6.1.1 The oil window. - 6.1.2 Groundwater flow and the thermal regime. - 6.2 Migration. - 6.2.1 Capillary effects. - 6.2.2 Primary migration. - 6.2.3 Secondary migration. - 6.3 Entrapment. - 6.4 Governing equations for immiscible multiphase flow. - 6.5 Case studies. - 6.5.1 The Uinta basin. - 6.5.2 The Los Angeles basin. - Problems. - 7 Geothermal processes. - 7.1 Crustal heat flow. - 7.1.1 Measurement. - 7.1.2 Lateral and vertical variations. - 7.1.3 Perturbations due to groundwater flow. - 7.2 Magmatic-hydrothermal systems. - 7.2.1 Magmatic heat sources. - 7.2.2 Heat transfer from magma to groundwater. - 7.2.3 Fluid circulation near magma bodies. - 7.2.4 Permeabilities in near-magma environments. - 7.3 Fluid flow and heat transport near the critical point. - 7.3.1 One-dimensional pressure-enthalpy paths. - 7.3.2 Two-dimensional convection. - 7.4 Multiphase processes. - 7.4.1 Phase separation. - 7.4.2 Vapor-dominated zones. - 7.4.3 Pressure transmission. - 7.4.4 Boiling point-depth curves. - 7.5 Hotsprings. - 7.6 Geysers. - 7.7 Geothermal resources. - 7.8 Ore deposits. - 7.9 Subsea hydrothermal systems. - 7.9.1 Importance to the Earth's thermal budget. - 7.9.2 Influence on ocean chemistry. - 7.9.3 Quantitative description. - Problems. - 8 Earthquakes. - 8.1 Effective stress. - 8.2 Coulomb's law of failure. - 8.3 Induced seismicity. - 8.3.1 The Rocky Mountain arsenal. - 8.3.2 Rangely,Colorado. - 8.4 Fluid pressures at seismogenic depths. - 8.4.1 Hubbert and Rubey. - 8.4.2 Irwin and Barnes model for the San Andreas. - 8.4.3 Byerlee and Rice models for the San Andreas. - 8.5 Earthquake-induced hydrologic phenomena. - 8.5.1 Stream flow and springs. - 8.5.2 Well behavior. - 8.5.3 Geysering. - 8.6 Effect of earthquakes on crustal permeability. - 8.6.1 Analysis of the Loma Prietacase. - 8.6.2 State-of-stress and the orientation of conductive fractures. - Problems. - 9 Evaporites. - 9.1 Evaporite formation. - 9.1.1 The marine evaporite problem. - 9.1.2 Groundwater inflow. - 9.1.3 CaCl2 brines. - 9.1.4 Magnesium depletion. - 9.1.5 Continental evaporites. - 9.1.6 Groundwater outflow. - 9.2 Bedded evaporites. - 9.3 Saltdomes. - 9.3.1 Variable-density convection. - 9.3.2 Caprock formation. - Problems. - 10 Diagenesis and metamorphism. - 10.1 Reaction-Flow coupling. - 10.2 Diagenesis of siliciclastic sequences. - 10.2.1 Diagenesis in sedimentary basins. - 10.2.2 Silica cementation by thermal convection. - 10.3 Diagenesis of carbonate platforms. - 10.3.1 Dolomitization. - 10.3.2 Mixing-zone dissolution. - 10.4Local-scale diagenetic features. - 10.4.1 Mechanochemical coupling. - 10.4.2 Geochemical banding. - 10.5 Metamorphism. - 10.5.1 The evidence for voluminous fluid fluxes. - 10.5.2 The nature of permeability in metamorphic environments. - 10.5.3 Contact metamorphism at Skaergaard. - 10.5.4 Low-pressure metamorphic belts. - Problems. - References. - Index.

Note: Contents: Introduction ; The Classical Maximum Entropy Formalism: A Review ; PURE INVERSE PROBLEMS ; Basic Maximum Entropy Principle: Formulation and Extensions ; Formulation and Solution of Pure Inverse Problems ; Generalized Pure Inverse Problems ; LINEAR INVERSE PROBLEMS WITH NOISE ; Generalized Maximum Entropy (GME) and Cross-Entropy (GCE) Formulations ; Finite Sample Extensions of GME-GCE ; GENERAL LINEAR MODEL APPLICATIONS OF GME-GCE ; GME-GCE Solutions to Ill-conditioned Problems ; General Linear Statistical Model with a Non-scalar Identity Covariance Matrix Statistical Model Selection ; A SYSTEM OF ECONOMIC STATISTICAL RELATIONS ; Sets of Linear Statistical Models ; Simultaneous Equations Statistical Model ; LINEAR AND NON-LINEAR DYNAMIC SYSTEMS ; Estimation and Inference of Dynamic Linear Inverse Problems ; Linear and Non-linear Dynamic Systems with Control ; DISCRETE CHOICE-CENSORED PROBLEMS ; Recovering Information from Multinomial Response Data ; Recovering Information from Censored Response Data ; COMPUTATIONAL NOTES ; Computing GME-GCE Solutions ; Epilogue