The reasons for writing this book are very simple. We use and teach com puter aided techniques of mathematical simulation and of pattern recogni tion. Life would be much simpler if we had a suitable text book with methods and computer programmes which we could keep referring to. Therefore, we have presented here material that is essential for mathematical modelling of some complex geological situations, with which earth scientists are often confronted. The reader is introduced not only to the essentials of computer modelling, data analysis and pattern recognition, but is also made familiar with the basic understanding with which they can plunge into when solving related and more complex problems. This book first makes a case for seismic stratigraphy and then for pattern recognition. Chapter 1 provides an extensive review of applications of pattern recognition methods in oil exploration. Simulation procedures are presented with examples that are fairly simple to understand and easy to use on the computer. Several geological situations can be formulated and simulated using the Monte Carlo method. The binary lithologic sequences, discussed in Chapter 2, consist of alternating layers of any two of sand, shale and coal."

Lunar Gravimetry: Revealing the Far-Side provides a thorough and detailed discussion of lunar gravity field research and applications, from the initial efforts of the pre-Apollo and Luna eras to the dedicated gravity mapping experiments of the third millennium. Analysis of the spatial variations of the gravity field of the Moon is a key selenodetic element in the understanding of the physics of the Moon's interior. Remarkably, more than forty years after the initial steps in lunar exploration by spacecraft, the global gravity field still remains largely unknown, due to the limitations of standard observations techniques. As such, knowledge of the high-accuracy and high-resolution gravity field is one of the remaining unsolved issues in lunar science.

Fundamentals of Seismic Wave Propagation, published in 2004, presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exercises and suggestions for further reading are included in each chapter.

In the dozen years since the first edition appeared, there has been a great advance in understanding of the Earth's deep interior. This is not because there have been breakthroughs in understanding, or even many changes of ideas, but largely because of many small advances, often the result of improved tech niques. This has led to a complete revision of the book. For instance, we have a much better idea of how the cloud of gas that formed the Solar Nebula evolved into the Sun and the planets, and of the chemical processes that accompanied its evolution and determined the mix of elements in the Earth. We have a better understanding of convection and how plates are an essential part of it, and how it is accompanied by chemical processes that have extracted the materials to build continents. Although the major variation within the Earth is radial, improved geophysical and geochemical techniques have made progress in investigating and under standing the lateral heterogeneities, and it is encouraging that when geochemists and geophysicists talk about lateral heterogeneities they can sometimes be referring to the same thing. Plumes have become very fashionable as the cause of hot-spot magmatism and associated geochemical anomalies, probably origi nating at the base of the mantle (though clear evidence for their existence is lacking)."

Physical and chemical studies of the earth and planets along with their sur roundings are now developing very rapidly. As these studies are of essentially international character, many international conferences, symposia, seminars and workshops are held every year. To publish proceedings of these meetings is of course important for tracing development of various disciplines of earth and plane tary sciences though publishing is fast getting to be an expensive business. It is my pleasure to learn that the Center for Academic Publications Japan and the Japan Scientific Societies Press have agreed to undertake the publication of a series "Advances in Earth and Planetary Sciences" which should certainly become an important medium for conveying achievements of various meetings to the aca demic as well as non-academic scientific communities. It is planned to publish the series mostly on the basis of proceedings that appear in the Journal of Geomagnetism and Geoelectricity edited by the Society of Terrestrial Magnetism and Electricity of Japan, the Journal of Physics of the Earth by the Seismological Society of Japan and the Volcanological Society of Japan, and the Geochemical Journal by the Geochemical Society of Japan, although occasional volumes of the series will include independent proceedings. Selection of meetings, of which the proceedings will be included in the series, will be made by the Editorial Committee for which I have the honour to work as the General Editor."

The book contains the notes of the lectures presented by outstanding experts at the 7th EADN School on plasma astrophysics. It is an up-to-date review of a number of basic topics in the physics of cosmic plasmas. The subject is treated both from a theoretical point of view and from that of the observational and diagnostic tools that provide us with the physically relevant data. The reader will have at hands a comprehensive and rather complete presentation of the subject, thanks also to the parallel development of the theoretical and experimental aspects. The book addresses graduate students and researchers in different areas who want to have a rapid and up-to-date introduction to this subject.

The five lectures presented in this volume address very timely mathematical problems in relativity and cosmology. "Part I" is devoted to the initial value and evolution problems of the Einstein equations. Especially it deals with the Einstein-Yang-Mills-Boltzmann system, fluid models with finite or infinite conductivity, global evolution of a new (two-phase) model for gravitational collapse and the structure of maximal, asymptotically flat, vacuum solutions of the constraint equations which have the additional property of containing trapped surfaces. "Part II" focuses on geometrical-topological problems in relativity and cosmology: on the role of cosmic censorship for the global structure of the Einstein-Maxwell equations and on the mathematical structure of quantum conformal superspace.

The "European Experiment on the Transport and Transformation of Environmentally Relevant Trace Constituents over Europe" (EUROTRAC) was established in 1986 to tackle the scientific problem and combine the expertise, knowledge and resources in Europe, in order to apply them over a large region covering the greater part of the continent. EUROTRAC is a coordinated multidisciplinary scientific research project involving field measurements, laboratory studies, instrument development and development of comprehensive computer models for the simulation of the physical and chemical processes in the lower atmosphere.

Modern astronomy has been characterized by an enormous growth in data acquisition - from new technologies in telescopes, detectors, and computation. One can now compile catalogs of tens or hundreds of millions of stars or galaxies and databases from satellite-based observations are reaching terabit proportions. This wealth of data gives rise to statistical challenges not previously encountered in astronomy. This book is the result of a workshop held at Pennsylvania State University in August 1991 that brought together leading astronomers and statisticians to consider statistical challenges encountered in modern astronomical research. The chapters have all been thoroughly revised in the light of the discussions at the conference, and some of the lively discussion is recorded here as well.

From July 7 to 12, 2008 in Zelenogradsk, a cosy resort on the bank of the Baltic Sea near Kaliningrad in Russia, the 1st International Conference "Atmosphere, Ionosphere, Safety (AIS-2008)" has been carried out. The State Russian University of I. Kant, Semenov Institute of chemical physics of the Russian Academy of Sciences, Pushkov Institute of terrestrial magnetism and radio-waves propagation of the Russian Academy of Sciences, and Russian Committee on Ball Lightning (BL) have acted as organizers of the conference. Financial support was made by Russian Fund of Fundamental Research Project N. 08-03-06041 and European Of?ce of Aerospace Research and Development Grant award FA8655-08-1-5052. The International conference "Atmosphere, Ionosphere, Safety" (AIS-2008) was devoted to (i) the analysis of the atmosphere-ionosphere response on natural and man-made processes, the reasons of occurrence of the various accompanying geophysical phenomena, and an estimation of possible consequences of their in?uence on the person and technological systems; (ii) the study of the monitoring possibility and search of the ways for the risk level decrease. Discussion of the physical and chemical processes accompanying the observable geophysical p- nomena was undertaken. One can see from a list of the Conference sections that questions of safety took only rather modest place, so main topics of the Conference became discussion of processes taking place in the atmosphere, ionosphere and methods of monitoring these processes.

This book can be looked upon in more ways than one. On the one hand, it describes strikingly interesting and lucid hydrodynamic experiments done in the style of the "good old days" when the physicist needed little more than a piece of string and some sealing wax. On the other hand, it demonstrates how a profound physical analogy can help to get a synoptic view on a broad range of nonlinear phenomena involving self-organization of vortical structures in planetary atmo spheres and oceans, in galaxies and in plasmas. In particular, this approach has elucidated the nature and the mechanism of such grand phenomena as the Great of galaxies. A number of our Red Spot vortex on Jupiter and the spiral arms predictions concerning the dynamics of spiral galaxies are now being confirmed by astronomical observations stimulated by our experiments. This book is based on the material most of which was accumulated during 1981-88 in close cooperation with our colleagues, experimenters from the Plasma Physics Department of the Kurchatov Atomic Energy Institute (S. V. Antipov, A. S. Trubnikov, AYu. Rylov, AV. Khutoretsky) and astrophysics theoreticians from the Astronomical Council of the USSR Academy of Sciences (AM. Frid man) and from the Volgograd State University (AG. Morozov). To all of them we wish to express our gratitude. Whenever we speak of "our experiments," the participation of the entire team is implied."

Among seismic waves generated by widely dilferent types of sources, the waves that are the most interest ing and of the longest duration are usually surface waves (which are also called normal waves, interference and channel waves, natural vibrations of layers, etc. ). These waves are distinguished by their dispersion and reso nance, and are used in many investigations - in the determination of the structure of the medium (the existence of surface layers and waveguides), in the determination of the coordinates and properties of the source (in par ticular its energy and mechanism), in the identification of subterranean exploSions, in the mapping of micro-. seisms, in the tracing of storms, etc. Outlines of the wide literature concerning surface waves can be found in 2, 9, 40J. Surface waves can be classed as Rayleigh or Love waves, depending on their velocity and polarization: the displacements of particles in Rayleigh waves are parallel, and the displacements in Love waves perpendicular, to the vertical plane containing the direction of propagation (some variation from this polarization is possible close to the source or in the presence of horizontal inhomogeneities in the medium). The present work is devoted to the calculation and investigation of Love waves in a vertically layered medium. The method used is based on the spectral theory of linear differential operators. ' This method is much more effective than previously applied methods based on the approximation of the medium by a set of homogeneous layers."

The five contributions describe some key mathematical concepts involved in the study of complex systems and non-perturbative problems. The selection of topics is intended to cross-fertilize the various fields where complex systems theory has made an impact. The book presents specific and detailed results meant for a wide audience of researchers and students. It begins with those contributions which help to set up a general theoretical framework and ends with selected applications to the particular areas of biophysics, statistical physics, astrophysics and cosmology. It also includes an extensive bibliography. This pedagogically written text can be used as an introduction to the fundamental ideas behind complex systems theory.

The present volume is an outcome of the scientific programme "Response of the Earth System to Impact Processes" (IMPACT) by the European Science Foundation (ESF). The ESF is an association of 67 national member organizations devoted to scientific research in 24 European countries. The IMPACT programme is aimed at understanding meteorite impact processes and their effects on the Earth System. Launched in 1998 for duration of 5 years, 15 ESF member organizations now participate in this programme, which will officially end in late 2003, although the momentum gained for European (and worldwide) impact research will be carried on in other programs and organizations. The programme deals with all aspects of meteorite impact research and operates through workshops, exchange programs, publications, and short courses. This particular book is the third in an informal series on "Impact Studies," which is published by Springer and intended to go beyond the ESF IMPACT programme by providing a venue for high quality (and peer-reviewed) monographs and conference and workshop proceedings on general topics connected to impact cratering and related research. th The 6 ESF-Impact workshop "Impact makers in the stratigraphic record" was held in Granada (Spain) on May 2001, with about sixty scientists from Europe, Taiwan, and North America attending the workshop. During the workshop 30 oral, 32 poster, and 3 keynote contributions were presented.

This volume of Advanced Mineralogy encompasses six different areas having two features in common: they are related to one of the largest enterprises of the second half of this century; and represent the ultimate and final extension of the concept of mineral matter. - Understanding mineral matter in Space is one of the principal purposes of cosmic exploration. This includes the results of compa rative planetology, lunar epopee, sophisticated meteorite studies (now more than 500 meteorite minerals), discovery of the interstellar mineral dust forming some 60 trillion of earth masses in the Galaxy, and terrestrial impact crater studies. It is possible now to speak of mineralogy of the Universum, and the mineralogical type of the states of matter in the Universe. Direct samples of mantle xenoliths and ultrahigh pressure-tem perature experiments make it possible to consider the mineral ogical composition of the Earth as a whole, including the upper an lower mantle and the Earth's core. Deep ocean drilling programs, a scientific fleet of hundreds of vessels and several submersibles have brought about great dis coveries in the geology, metalogeny, and mineralogy of the ocean floor the largest part of the Earth's surface, in particular revealing new genetic, crystallochemical, and ore types of min eral formation."

The book contains courses taught to a public of Ph. D. students, post-docs and con?rmed researchers in all ?elds of heliospheric plasma physics. It aims at identifying physical issues which are common to two di?erent ?elds of astr- omy: solar and magnetospheric physics. Emphasis is given to basic processes of transport and conversion of energy: magnetic reconnection is discussed in detail from the viewpoints of MHD and kinetic physics. Processes of charged particle acceleration are reviewed and confronted with recent observations. The subject is introduced by a summary of MHD and the basic structures and parameters of the solar atmosphere, terrestrial ionosphere and mag- tosphere are reviewed. The book combines a pedagogic and comprehensive presentation of physical issues and raises fully open questions, with the c- plementary and sometimes con?icting views of geophysicists and solar phy- cists. The book's focus, while basic, opens new avenues. Observatory of Meudon, France Ludwig Klein IAS, Orsay, France Jean-Claude Vial OCA, France Jean-Pierre Rozelot August 2000 The Editors Preface Following the great success of the ?rst two CNRS Summer Schools on Solar Astrophysics held in Oleron (May 1996 and May 1997 - two schools devoted to the highlights of solar physics), I came to the conclusion that the initiative should be continued."

The central subject matter of this book is Einstein's special theory of relativiry. While it is a book that is written primarily for a lay audience this does not necessarily mean an audience not versed in the ways of doing science. Rather, this book is written for anyone wishing to consider the nature of the scientific enterprise: where ideas come from, how they become established and accepted, what the relationships are among theories, predictions, and measurements, or the relationship between ideas in a scientific theory and the values held to be important within the larger culture. Some readers will find it strange that I raise any of these issues. It is a common view in our culture that the status of knowledge within science is totally different from the status of knowledge in other areas of human endeavor. The word "science" stems from the Latin word meaning "to know" and indeed, knowledge which scientists acquire in their work is commonly held to be certain, unyielding, and absolute. Consider how we use the adjective "scientific. " There are investors and there are scientific investors. There are socialists and there are scientific socialists. There are exterminators and there are scientific exterminators. We all know how the modifier "scientific" inttudes in our daily life. It is the purpose of this book to challenge the belief that scientific knowledge is different from other kinds of knowledge.

The propagation of acoustic and electromagnetic waves in stratified media is a subject that has profound implications in many areas of applied physics and in engineering, just to mention a few, in ocean acoustics, integrated optics, and wave guides. See for example Tolstoy and Clay 1966, Marcuse 1974, and Brekhovskikh 1980. As is well known, stratified media, that is to say media whose physical properties depend on a single coordinate, can produce guided waves that propagate in directions orthogonal to that of stratification, in addition to the free waves that propagate as in homogeneous media. When the stratified media are perturbed, that is to say when locally the physical properties of the media depend upon all of the coordinates, the free and guided waves are no longer solutions to the appropriate wave equations, and this leads to a rich pattern of wave propagation that involves the scattering of the free and guided waves among each other, and with the perturbation. These phenomena have many implications in applied physics and engineering, such as in the transmission and reflexion of guided waves by the perturbation, interference between guided waves, and energy losses in open wave guides due to radiation. The subject matter of this monograph is the study of these phenomena.

As is apparent from the table of contents, the lectures at the Third Course of the International School of Applied Geophysics, Erice, March 27-April 4, 1980 (the first part of this volume) dealt with several applications of inversion to different geophy sical methods. For every field, the more general lectures come first, followed by those aimed at more specialized objectives. Not all topics are covered and the coverage is not uniform. The seismological section (especially the seismic reflection methods) is the most developed, and this is only partly due to the actual state of the art. Unfortunately, only abstracts are available for two of the lectures. The second part of the volume contains some short notes and contributions presented either by the lecturers themselves or by other participants. They do not necessarily deal with the process of inversion itself but with the preparation and meaning of the data to be inverted or with some original treatments of problems that were discussed in the afternoon sessions. The discussion sessions and the round table that followed the lectures were essential to the success of the Course and to an understanding ot the difterent perspectives of the various specialists. I hope that the group of very brilliant and willing geophysi cists that made the meeting so interesting will stay n touch, grow closer, and meet again. Close scientific cooperation among them could contribute much to the "unification" of geophysical science."

This book contains contributions to the 32nd Polish-Czech-Slovak Symposium on Mining and Environmental Geophysics held in May 2009 in Piechowice (Poland). The papers are related to various aspects of geophysical science such as induced seismicity, engineering seismology, environmental geophysics and geophysics in geology

In many areas of geophysics, geology, geochemistry, and mining, there is considerable interest in laboratory data on the physical properties of various types of rocks. Until recently, how ever, only the mechanical properties of rocks had been studied in detail. The last few years have seen a relatively large amount of study of the electrical properties of rock samples and a need to organize the results of these studies has arisen. In"Electrical Properties of Rocks,"* E. 1. Parkhomenko reviewed and cataloged studies of electrical resistivity and the dielectric constant in rocks. In the present work she covers other electrical phenomena which are observed to occur in rocks and minerals and reviews the re sults of her own researches, as well as that of others, previously published. Theoretical and experimental data on the piezoelectric prop erties of minerals and rocks obtained since 1953 by E. 1. Parkho menko and myself as the result of laboratory investigations on quartz-bearing rocks (granite, gneiss, quartz veins, etc. ) comprise the bulk of the monograph (Chapters1-4). Itwas not previously con sidered that a polycrystalline mass such as a rock could exhibit piezoelectric properties - it was supposed characteristic only of single crystals."

Since the discovery of geomagnetically trapped radiation by Van Allen in 1958, an impressive amount of experimental information on the earth's particle and field environment has nourished research work for scores of scientists and thesis work for their students. This quest has challenged space-age technology to produce better and more sophisticated instru ments and has challenged the international scientific community and governments to establish more, and more effective, cooperative programs of research and information exchange. As a result, an orderly picture of the principal physical mechanisms governing the earth's radiation environment is beginning to emerge. The interest in this topic has reached far beyond the domain of geo physics. Indeed, we find trapped radiation elsewhere in the universe: Jupiter's radiation belts, particle trapping in sunspot magnetic fields, cosmic rays confined in interstellar fields and, possibly, ultra-high-energy particles trapped in the magnetic fields of rotating neutron stars. There is abundant technical and scientific literature available on Van Allen radiation; comprehensive reviews are published regularly in journals* or have been collected in book form**, and books have been written on the subject***. The aim of this monograph is to complement the existing literature with a concise discussion of the basic dynamical processes that control the earth's radiation belts. It is mainly intended to help a graduate student or a researcher new to this field to understand the underlying physics and to provide him with guidelines for quantita tive, numerical applications of the theory."

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."

The articles in this volume were selected from a series of reports delivered in the So viet Union at Yaroslavl during the International Seminar "Super-deep drilling and deep geophysical research," which was organized and held in August 1988 by the Ministry of Geology of the USSR, jointly with the Inter-Union Commission on the Lithosphere. One of the most important problems of modem geology, is the state and prospects of further development of deep continental structure investigations, was discussed at the seminar with the participation of 245 scientists and specialists from 19 countries. At the plenary and sectional meetings of the seminar, 83 reports were delivered, discussions on the most interesting problems were organized, the exchange of ideas between the leading scientists a round table took place in discussion. The distinctive feature of the present collection of articles is the wide scope of the investigation of the Earth's crust. The reports elucidate such subjects of world impor tance as (1) achievements in implementation of major scientific programs investi gating deep Earth structure and plans for their further materialization; (2) theoretical problems of carrying out geological-geophysical explorations and drilling operations; and (3) new approaches to the study of the Earth's interior. The results of deep inves tigations of individual countries and organizations are considered, and concrete tech nical elaboration, methods of work execution, etc. are discussed."