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.

Sedimentation Models and Quantitative Stratigraphy

This textbook describes some of the most effective and straightforward quantitative techniques for modeling Earth surface processes. By emphasizing a core set of equations and solution techniques, the book presents state-of-the-art models currently employed in Earth surface process research, as well as a set of simple but practical research tools. Detailed case studies demonstrate application of the methods to a wide variety of processes including hillslope, fluvial, aeolian, glacial, tectonic, and climatic systems. Exercises at the end of each chapter begin with simple calculations and then progress to more sophisticated problems that require computer programming. All the necessary computer codes are available online at www.cambridge.org/9780521855976. Assuming some knowledge of calculus and basic programming experience, this quantitative textbook is designed for advanced geomorphology courses and as a reference book for professional researchers in Earth and planetary science looking for a quantitative approach to Earth surface processes.