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This volume reports the results of a symposium held in Heidelberg during the International Sedimentological Congress in late August and early September, 1971. The symposium, co sponsored by the International Association for Mathematical Geology, entertained the subject, "Mathematical Models of Sedimentary Processes. " The subject is most appropriate because sedimentologists have long been concerned with processes and mechanisms of sedi ment dispersal. Much effort has gone into building physical models such as flumes, stream tables, wave tanks, wind tunnels, etc. , to help understand sedimentological processes. Quantita tive methods (especially statistics) have been utilized in summarizing these data. It is timely then with the recent developments of simulation and application of computer tech niques that a symposium be addressed to the use of "Mathematical Models of Sedimentary Processes" involving some of these new statistically oriented methods and available data bases. Experimentation in geology has been hampered by a scale factor. That is, it is difficult to find suitab. 1e materials for physical models; it is difficult to find a mechanical de vice which properly represents the forces involved; it is almost impossible to allow adequately for geologic time. Sta tistically valid models are difficult to obtain with physical models because of material replicate problems. Most problems including the time factor, however, can be eliminated with mathematical models. Mathematical models can be infinitely varied in any number of combinations easily and quickly with the computer.
A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html
This volume reports the results of a symposium held in Heidelberg during the International Sedimentological Congress in late August and early September, 1971. The symposium, co sponsored by the International Association for Mathematical Geology, entertained the subject, "Mathematical Models of Sedimentary Processes. " The subject is most appropriate because sedimentologists have long been concerned with processes and mechanisms of sedi ment dispersal. Much effort has gone into building physical models such as flumes, stream tables, wave tanks, wind tunnels, etc. , to help understand sedimentological processes. Quantita tive methods (especially statistics) have been utilized in summarizing these data. It is timely then with the recent developments of simulation and application of computer tech niques that a symposium be addressed to the use of "Mathematical Models of Sedimentary Processes" involving some of these new statistically oriented methods and available data bases. Experimentation in geology has been hampered by a scale factor. That is, it is difficult to find suitab. 1e materials for physical models; it is difficult to find a mechanical de vice which properly represents the forces involved; it is almost impossible to allow adequately for geologic time. Sta tistically valid models are difficult to obtain with physical models because of material replicate problems. Most problems including the time factor, however, can be eliminated with mathematical models. Mathematical models can be infinitely varied in any number of combinations easily and quickly with the computer.
Fine Sediment in Open Water is mainly written for professional engineers working in estuaries and coastal systems. It provides the basis for a fundamental understanding of the physical, biological and chemical processes governing the transport and fate of fine sediment in open water and explains how this understanding can steer engineering studies with numerical models. This is a unique treatment of processes at a variety of spatial and temporal scales, from the micro-scale (colloid scale) to system-wide scales, and from intra-tidal time periods to decades.Beginning with the processes governing the transport and fate of fine sediment in shallow open water, the first eight chapters are dedicated to the hydrodynamic, soil mechanics and biological processes which determine fine sediment concentrations in the water column, in/on the bed and the exchange of sediment between bed and water column. The next two chapters treat the net fluxes of fine sediment as a function of asymmetries in forcing and sediment properties. These fundamental processes form the basis for the subsequent chapters on modeling in which the governing equations are presented, and tools are provided to aggregate and parameterize the various processes elaborated in the first eight chapters. Further, any numerical model study should be based on a conceptual model, as illustrated in the final five chapters, which provide examples of numerical modeling studies on the transport and fate of fine sediment in a coastal sea, an estuary, a tidal river, a lake, and around and within a harbor basin.Related Link(s)
Sedimentation Models and Quantitative Stratigraphy
This book is the published record of the papers presented at a conference of the Norwegian Petroleum Society (NPF) held in Bergen, Norway, on 3-5 October, 1988. The conference was initially proposed and promoted by the Geology and Geophysics Advisory Committee of the Norwegian Petroleum Society consisting of: A. M. Spencer (Chairman), M. Brink,J. D. Collinson, S. Hanslien, D. M. D.James, T. B. Lund, K. Messel, E. Ormaasen and G. Saeland. The programme and more detailed planning of the conference was carried out by a programme committee consisting of: J. D. Collinson (Chairman), O. Eldholm, E. Holter, D. M. D.James, H. Tykoezinski, D. Worsley and S. M. Aasheim. There were 245 participants at the meeting and 36 papers were presented as talks with a further 9 presented as posters. These proceedings are representative of the range of topics covered. The meeting was characterized by a high level of discussion which has influenced several authors in the final preparation of their written papers. These proceedings have been edi ted on behalf of the Norwegian Petroleum Society by J. D. Collinson with help from H. Tykoezinski. The editor and the organizing committee wish to thank all the referees who reviewed papers and all the authors who responded so fully and promptly to their comments. The NPF is most grateful to the University of Bergen for making available their facilities for the conference.