The 12thInternational BasementTectonicsConferencewas hostedbythe Schoolof Geologyand Geophysics and theOklahoma Geological Survey inthe SarkeysEnergy Centeronthe campusoftheUniversityofOklahoma, Norman, Oklahoma, U. S. A. , from May 21stthroughMay 26th, 1995. Atotal of52 individualswere in attendance, 9 ofwhichwereattendingfrom 6differentforeign countries. Fourdaysoforal and posterpresentationswere divided intofour technical sessions withthefollowing themes: I)FractureDevelopment, Reactivation, andMineralization, organizedbyM. 1. Bartholomewand S. Marshak; 2)EvolutionoftheBasementofthe North American Plate (with special emphasison its southern margin), organizedby R E. Denisonand E. G. Lidiak; 3)ProbingofBasement: Geophysical and Geochemical Methods,organizedbyR A. Youngand G. R Keller; and 4)ResponseofCoverRocks toBasementDeformation, organized by P. Berendsenand M. P. Carlson. Seventy-five presentationswere made during thecourseofthe meeting, which wasorganizedby Program Chairman M. Charles Gilbertandprofessionally managedbySaraMoody. Precedingthe meeting wasatwo dayfield trip toexaminethe modeand kinematics ofterraneaccretion duringclosureofan oceanbasin, as preserved in thePrecambrian geologyoftheeasternLlano Uplift, Texas, U. S. A. Thefield trip leaders Sharon Mosher, MarkHelper, Don Barker, and Robert Reed providedan excellentand comprehensive guidebook, and shared theirconsiderable expertise in manydiscussions at one spectacularexposures afteranother. All registrants participatedinthe mid-conferencefield tripguidedby R E. Denison, E. G. Lidiak, M. C. Gilbert, and John P. Hogan to examinethePrecambrianand Cambrianbasementterranesexposed in the ArbuckleMountainsupliftin southernOklahoma, U. S. A. Evidencefor apossible continental arc settingfor the southern margin ofthe-1. 4 Ga Granite-Rhyolite Terrane, theopeningofthe Cambrian Southern Oklahoma Aulacogenasevidencedby aspectacularexposureofadiabasedike swarm, and the roleofearliertectonicfabrics in thedevelopmentofyoungerstructureswere someofthe topicsofdiscussion. Thetwo day postconferencefield trip to the WichitaMountains uplift, southwestern Oklahoma, U. S. A. was ledby M. Charles Gilbert, and John P. Hogan. Thistrip highlightedthe Cambrian SouthernOklahoma Aulacogen.

Thisvolumecontainsacollectionofpapersbyinternationalexpertsingeoph- ical ?uid dynamics, based upon presentations at a colloquium held in memory of Pedro Ripa on the ?rst anniversary of his untimely death. They review or present recent developments in hydrodynamic stability theory, Hamiltonian ?uid mechanics, balanceddynamics, waves, vortices, generaloceanographyand the physical oceanography of the Gulf ofCalifornia; all of them subjects in which Professor Ripamadeimportant contributions. His work, but also his friendly spiritandkindnesswerehighly regardedandappreciatedby colleagues and students alike around the world. This book is a tribute to his scienti?c legacy and constitutes a valuable reference for researchers and graduate s- dents interested in geophysical and general ?uid mechanics. Earlyin his career asa physicaloceanographer, Pedro Ripa made two la- mark contributions to geophysical ?uid dynamics. In 1981, he showed that the conservation of the potential vorticity is related to the invariance of the eq- tions of motion under the symmetry transformationsof the labels that identify the ?uid particles. That is, potential vorticity conservation is a consequence, via Noether's theorem, of the particle re-labelling symmetry. Two years later he published a paper entitled "General stability conditions for zonal ?ows in a one-layer model on the beta-plane or the sphere," where he established nec- sary conditions for stability in the shallow water equations, nowadays known as "Ripa's Theorem. " This is one of the very few Arnol'd-like stability con- tions that goes beyond two-dimensional or quasi-geostrophic ?ow, and stands alongside other famous stability criteria in making the foundations of the ?eld.

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as "system identi?cation" in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

This volume constitutes the Proceedings of the IUTAM Symposium on 'Nonlinear Analysis of Fracture', held in Cambridge from 3rd to 7th Septem ber 1995. Its objective was to assess and place on record the current state of understanding of this important class of phenomena, from the standpoints of mathematics, materials science, physics and engineering. All fracture phenomena are nonlinear; the reason for inclusion of this qualification in the title was to reflect the intention that emphasis should be placed on distinctive aspects of nonlinearity, not only with regard to material consti tutive behaviour but also with regard to insights gained, particularly from the mathematics and physics communities, during the recent dramatic ad vances in understanding of nonlinear systems in general. The expertise represented in the Symposium was accordingly very wide, and many of the world's greatest authorities in their respective fields participated. The Symposium remained focussed on issues of practical significance for fracture phenomena, with concentration on aspects that are still im perfectly understood. The most significant unifying issue in this regard is that of scale: this theme was addressed from several perspectives. One important aspect is the problem of passing information on one scale up or down, as an input for analysis at another scale. Although this is not always the case, it may be that the microscopic process of fracture is understood in some particular class of materials."

This volume is based on the reviewed and edited proceedings of the International Symposium on Spatial Data Handling 2012, held in Bonn. The 15th SDH brought together scholars and professionals from the international GIScience community to present the latest research achievements and to share experiences in Geospatial dynamics, geosimulation and exploratory visualization.

The book presents current research into the effect that environmental conditions have on volcanic eruptions and the subsequent emplacement of volcanic products. This is accomplished through a series of chapters that investigate specific environments - both terrestrial and extraterrestrial - and the expression of volcanic materials found within those settings. Current state-of-the-art numerical, analytical and computer models are used in most chapters to provide robust, quantitative insights into how volcanoes behave in different environmental settings. Readership: Upper level undergraduates and new graduates. The book is primarily a presentation of research results rather than a tutorial for the general public. Textbook or supplementary reading for courses in volcanology or comparative planetology at college/university level.

This volume presents different studies carried out on induced seismicity, both from experimental and theoretical viewpoints. Several examples of seismic activity induced by underground nuclear explosions, impoundment of artificial reservoirs, and mining activities are given and discussed. Another important subject which is covered is earthquakes induced by other large earthquakes. Further, tectonic stress release in the immediate vicinity of an underground nuclear explosion is treated. The release produces aftershocks of small magnitude, usually for several weeks, occurring a few kilometers within the shot point. This phenomenon is of importance in the context of monitoring a Comprehensive Test Ban Treaty.

Is it not generally believed that our town is a healthy place . . . a place highly com mended on this score both for the sick andfor the healthy? . . And then these Baths - the so-called 'artery' of the town, or the 'nerve centre' . . . Do you know what they are in reality, these great and splendid and glorious Baths that have cost so much money? . . A most serious danger to health! All that filth up in Melledal, where there's such an awful stench - it's all seeping into the pipes that lead to the pump-room! Henrik Ibsen, An Enemy of the People, 1882 Henrik Ibsen gave the 'truth about mineral water' more than 100 years ago in An Enemy of the People. His examples came not from the decadent bathing spas of Bohemia or Victorian Britain, but from the very edge of polite society, subarctic Norway! His masterpiece illustrates the central role that groundwaters and, in particular, mineral waters have played in the history of humanity: their economic importance for towns, their magnetism for pilgrims searching for cures, the political intrigues, the arguments over purported beneficent or maleficent health effects and, finally, their contami nation by anthropogenic activity, in Ibsen's case by wastes from a tannery. This book addresses the occurrence, properties and uses of mineral and thermal groundwaters. The use of these resources for heating, personal hygiene, curative and recreational purposes is deeply integrated in the history of civilization.

The Ninth International Conference on Basement Tectonics was held at the Australian National University in Canberra 2-6 July 1990. The opening keynote address was given by Prof. R.W.R. Rutland, Director of the Bureau of Mineral Resources. Other keynote speakers were E.S.T. O'Driscoll, an Australian consultant, and Prof P. Bankwitz, Central Institute for Physics of the Earth, Potsdam, GDR. Technical sessions were arranged by session conveners on the following five topic- i) The structure of the Australian craton and cover basins; ii) Basement structure of continental regions; iii) Structural patterns and mineral deposits; iv) Techniques for analysing basement structures; v) Structural patterns in oceanic crust. The arrangement of papers for this Proceedings Volume has been simplified. Part 1 deals with Australia, Part 2 with other areas and Part 3 lists the titles of all the papers read at the conference. Abstracts of these papers are available in Geological Society of Australia Abstracts No 26 and may be purchased for $AI0 from the Geological Society of Australia Office, ANA House, 301 George Street, Sydney NSW 2000. Field trips to view aspects of the Lachlan Fold Belt and the Sydney Basin were assisted by H.J. Harrington, D. Branagan, D. Wyborn, B. Drummond and M.J. Rick~d. A longer field trip, aborted through low enrolments, was organized by H.J. Harrington with assistance from W. Preiss, N. Cook, R. Glenn, A. Grady, and P. James; this assistance is gratefully acknowledged.

Celestial fundamental catalogues are a prerequisite for the determination of absolute positions and motions in space. Presently, positional astrometry is at the watershed between classical fundamental catalogues, based on moving reference stars, and modern catalogues, based on extragalactic reference objects with non-measurable motion. This book addresses the concepts and methods of the respective construction techniques leading to the stellar frame of the FK5 (fifth fundamental catalogue) and to the newly adopted extragalactic radio reference frame, ICRF (international celestial reference frame), with its extension to optical wavelengths by the Hipparcos Catalogue. While principal outlines of meridian circle observations are given, emphasis is put in some detail on the VLBI technique as applied to astrometry, and to the observational techniques used in the Hipparcos mission, including the tie of the originally non-anchored rigid Hipparcos sphere into the ICRF.

This newly-translated book takes the reader from the basic principles and conservation laws of hydrodynamics to the description of general atmospheric circulation. Among the topics covered are the Kelvin, Ertel and Rossby-Obukhov invariants, quasi-geostrophic equation, thermal wind, singular Helmholtz vortices, derivation of the Navier-Stokes equation, Kolmogorov's flow, hydrodynamic stability, and geophysical boundary layers. Generalizing V. Arnold's approach to hydrodynamics, the author ingeniously brings in an analogy of Coriolis forces acting on fluid with motion of the Euler heavy top and shows how this is used in the analysis of general atmospheric circulation.

This book is based on popular graduate and undergraduate courses given by F.V.Dolzhansky at the Moscow Institute of Physics and Technology, and is the result of the author's highly acclaimed work in Moscow's Laboratory of Geophysical Hydrodynamics. Each chapter is full of examples and figures, exercises and hints, motivating and illustrating both theoretical and experimental results. The exposition is comprehensive yet user-friendly in engaging and exploring the broad range of topics for students and researchers in mathematics, physics, meteorology and engineering. "

This book presents a historical perspective on plate tectonics. In doing so it discusses the foundations of rigid plate tectonics and the limitations of this approach. This classic approach explains the data at a level of 95 % precision. The authors explain data anomalies as a result of the discrepancies between spatial geodetical data and rigid kinematics in oceans. Data and its interpretation from various disciplines are pulled together in this book.

Volcanic eruptions are fascinating manifestations of the Earth's dynamic inte rior which has been cooling for the past several billion years. The planets of the solar system originated some 4.5 billion years ago from the same gas and dust cloud created by the big bang. Some of the gas collapsed by the gravitational force to form the Sun at the center, while the whirling disk of gas and dust around the Sun subsequently cooled and lumped together to form larger and larger lumps of materials or planetesimals. These planetesimals collided fre quently and violently and in the process liberated heat that melted the material in them. With time this material gradually cooled and formed the planets of the solar system. During the second half of the twentieth century the theory of plate tectonics of the Earth became established and demonstrated that our planet is covered with six large and many small plates of the lithosphere. These plates move over a highly viscous lower part of the Earth's upper mantle and contain the continental and oceanic crusts. The lower mantle extends below the upper mantle until it meets the core that is more than half the diameter of the entire globe (12,740 km). The inner core consists mostly of iron and its temperature is about 5000 kelvin, whereas the liquid outer core is turbulent, rotates faster than the mantle, consists primarily of iron, and is the source of the Earth's magnetic field."

This state-of-the-art survey serves as a complete overview of the subject. Besides the principles and theoretical foundations, emphasis is laid on practical applicability -- describing not only classical methods, but also modern developments and their applications. Students, researchers and practitioners, especially in the fields of data registration, treatment and evaluation, will find this a wealth of information.

This concise, fast-paced text introduces the concepts and applications behind plane networks. It presents fundamental material from linear algebra and differential equations, and offers several different applications of the continuous theory. Practical problems, supported by MATLAB files, underscore the theory; additional material can be downloaded from the author's website.

A. K. TURNER Department of Geology and Geological Engineering Colorado School of Mines Golden, Colorado 80401 USA Geology deals with three-dimensional data. Geoscientists are concerned with three dimensional spatial observations, measurements, and explanations of a great variety of phenomena. The representation of three-dimensional data has always been a problem. Prior to computers, graphical displays involved specialized maps, cross-sections, fence diagrams, and geometrical constructions such as stereonets. All were designed to portray three-dimensional relationships on two-dimensional paper products, and all were time consuming to develop. Until recently, computers were of little assistance to three-dimensional data handling and representation problems. Memory was too expensive to handle the huge amounts of data required by three-dimensional assessments; computational speeds were too slow to perform the necessary calculations within a reasonable time; and graphical displays had too Iowa resolution or were much too expensive to produce useful visualizations. Much experience was gained with two-dimensional geographic information systems (GIS), which were applied to many land-use management and resource assessment problems. The two-dimensional GIS field matured rapidly in the late 1980's and became widely accepted. The advent of the modern computer workstation, with its enhanced memory and graphical capabilities at ever more affordable prices, has largely overcome these earlier constraints.

This book focuses on the recent advances in our understanding of solar convection and activity, and on new methods and results of helioseismic diagnostics. It provides a comprehensive overview of the current status of the field and presents new ideas and approaches.

This volume contains the most relevant peer-reviewed papers presented at The First International Workshop on Vrancea Earthquakes, held in Bucharest on November 1-4, 1997. Strong earthquakes in the Romanian Vrancea area have caused a high toll of casualties and extensive damage over the last several centuries. With a moment magnitude of 7.4, the 1977 earthquake caused more than 1500 casualties, the majority of them in Bucharest. The contributions address key problems of seismotectonics of the Vrancea area and related strong ground motion, hazard assessment, site effects and microzonation, structural damage and earthquake resistant design, risk assessment and disaster management from an international and regional perspective. This list of topics shows the diverse contributions from the multidisciplinary fields of geosciences, geophysics, seismology, geology, civil engineering, city planning, and emergency relief practices. This book is of value for scientists interested in earthquake hazard and seismic risk research as well as for seismologists, geophysicists and Earth scientists. It is also useful for authorities responsible for public safety and natural hazard mitigation plans and for insurance companies.

A review of such natural disasters as floods and landslides, highlighting the possibility of safe and correct land planning and management by means of a global approach to territory. Since the events deriving from slope and fluvial dynamics are commonly triggered by the same factor, occur at the same time and are closely related, this book analyses floods and slope stability phenomena as different aspects of the same dynamic system: the drainage basin.

This book presents the history, phenomena, and relevance of the stratosphere. Beginning with the discovery of the stratosphere itself, the book explores various unexpected phenomena observed in the stratosphere, such as the ozone hole in 1984 and the influence of the 11-year solar cycle in 1987. It describes the interrelations of stratospheric phenomena and its effects on the variability of the climate system, as well as examines various human impacts on the system such as the decrease in the ozone layer.

Surface Acoustic Waves in Inhomogeneous Media covers almost all important problems of the interaction of different types of surface acoustic waves with surface inhomogeneities. The problems of surface acoustic wave interaction with periodic topographic gratings widely used in filters and resonators are under careful consideration. The most important results of surface wave scattering by local defects such as grooves, random roughness, elastic wedges are given. Different theoretical approaches and practical rules for solving the surface wave problems are presented.

Most of our knowledge about the physical structure and the chemical composition of the Earth's deep interior is inferred from seismic data. The interpretation of seismic waves generally follows the assumption that the Earth's physical structure is grossly layered and that fluctuations of the physical parameters within individual layers are smooth in structure and small in magnitude. While this view greatly facilitates the analytic and interpretative procedure, it is clearly at odds with evidence from outcrops and boreholes, which indicates that compositional, structural and petrophysical heterogeneity in the Earth prevails over a wide range of scales. This book is the first to unify three different views of crustal and upper mantle heterogeneity. It brings together the geological view, which is derived from the analysis of crustal exposures and deep boreholes; the stochastic view, which attempts to find order and structure in these seemingly chaotic data; and the seismological view, which considers the end product of the complex interaction of seismic energy with the heterogeneous structure at depth. John Goff and Klaus Holliger have compiled chapters that explore and quantify the relationship between geological and petrophysical heterogeneity and its seismic response, and use seismic data to probe the fabric of the Earth's interior. Geologists, geostaticians, and geophysicists alike will benefit from the integrative perspective presented in Heterogeneity in the Crust and Upper Mantle: Nature, Scaling, and Seismic Properties, making this text an unparalleled reference for professionals and students in Earth science fields.

Rifted Ocean-Continent Boundaries covers a wide range of topics, from quantitative modelling to current knowledge of the structure and evolution of specific margins around the world. Special emphasis is placed on the structure and evolution of various Atlantic margins. After an introduction to volcanic margin concepts, the first articles report the results of numerical models of the mechanics of rift propagation, melt generation and sources of extensional stresses that may cause break-up. One part of the book is dedicated to current knowledge of the structure and evolution of various Atlantic margins. After a brief incursion into the Mediterranean, succeeding articles report on the transform and active margins of the Ivory Coast-Ghana transform margin and the Sea of Japan.

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

The high accuracy of modern astronomical spatial-temporal reference systems has made them considerably complex. This book offers a comprehensive overview of such systems. It begins with a discussion of 'The Problem of Time', including recent developments in the art of clock making (e.g., optical clocks) and various time scales. The authors address the definitions and realization of spatial coordinates by reference to remote celestial objects such as quasars. After an extensive treatment of classical equinox-based coordinates, new paradigms for setting up a celestial reference system are introduced that no longer refer to the translational and rotational motion of the Earth. The role of relativity in the definition and realization of such systems is clarified. The topics presented in this book are complemented by exercises (with solutions). The authors offer a series of files, written in Maple, a standard computer algebra system, to help readers get a feel for the various models and orders of magnitude. Beyond astrometry, the main fields of application of high-precision astronomical spatial-temporal reference systems and frames are navigation (GPS, interplanetary spacecraft navigation) and global geodynamics, which provide a high-precision Celestial Reference System and its link to any terrestrial spatial-temporal reference system. Mankind's urgent environmental questions can only be answered in the context of appropriate reference systems in which both aspects, space and time, are realized with a sufficiently high level of accuracy. This book addresses all those interested in high-precision reference systems and the various techniques (GPS, Very Long Baseline Interferometry, Satellite Laser Ranging, Lunar Laser Ranging) necessary for their realization, including the production and dissemination of time signals.