An Introduction to Igneous and Metamorphic Petrology / Edition 1

An Introduction to Igneous and Metamorphic Petrology / Edition 1

by John D. Winter
ISBN-10:
0132403420
ISBN-13:
9780132403429
Pub. Date:
02/09/2001
Publisher:
Prentice Hall
ISBN-10:
0132403420
ISBN-13:
9780132403429
Pub. Date:
02/09/2001
Publisher:
Prentice Hall
An Introduction to Igneous and Metamorphic Petrology / Edition 1

An Introduction to Igneous and Metamorphic Petrology / Edition 1

by John D. Winter
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Overview

Providing enough background to be rigorous, without being exhaustive, it gives readers good preparation in the techniques of modern petrology; a clear and organized review of the classification, textures, and approach to petrologic study; and then applies these concepts to the real occurrences of the rocks themselves. Requires only a working knowledge of algebra, and makes extensive use of spreadsheets. Includes an accompanying diskette of programs and data files.

This book offers unique, comprehensive, up-to-date coverage of both igneous and metamorphic petrology in a single volume and provides the quantitative and technical background required to critically evaluate igneous and metamorphic phenomena.

For anyone interested in petrology.


Product Details

ISBN-13: 9780132403429
Publisher: Prentice Hall
Publication date: 02/09/2001
Edition description: Older Edition
Pages: 699
Product dimensions: 8.52(w) x 11.00(h) x 1.67(d)

Read an Excerpt

Preface

This text is designed for use in advanced undergraduate or early graduate courses in igneous and metamorphic petrology. The book is extensive enough to be used in separate igneous and metamorphic courses, but I use it for a one-semester combined course by selecting from the available chapters. The nature of geological investigations has largely shaped the approach that I follow.

Geology is often plagued by the problem of inaccessibility. Geological observers really see only a tiny fraction of the rocks that compose the Earth. Uplift and erosion exposes some deep-seated rocks, whereas others are delivered as xenoliths in magma, but their exact place of origin is vague at best. As a result, a large proportion of our information about the Earth is indirect, coming from melts of subsurface material, geophysical studies, or experiments conducted at elevated temperatures and pressures.

The problem of inaccessibility has a temporal aspect as well. Most Earth processes are exceedingly slow. As a result, we seldom are blessed with the opportunity of observing even surface processes at rates that lend themselves to ready interpretation (volcanism is a rare exception for petrologists). In most other sciences, theories can be tested by experiment. In geology, as a rule, flat experiment has run to its present state and is impossible to reproduce. Our common technique is to observe the results and infer what the experiment was. Most of our work is thus inferential and deductive. Rather than being repulsed by this aspect of our work, I believe most geologists are attracted by it.

The nature of how geology is practiced has changed dramatically in recent years.Early geologists worked strictly in the observational and deductive fashion described above. The body of knowledge resulting from the painstaking accumulation of data observable with the naked eye or under a light microscope is impressive, and most of the theories concerning how the Earth works that were developed by the mid-20th century are still considered valid today, at least in broad terms. Modern post-war technology, however, has provided geologists with the means to study the Earth using techniques borrowed from our colleagues in the fields of physics and chemistry. We have mapped and sampled much of the ocean basins; we have probed the mantle using variations in gravity and seismic waves; we can perform chemical analyses of rocks and minerals quickly and with high precision; we can also study natural and synthetic specimens at elevated temperatures and pressures in the laboratory to approximate the conditions at which many rocks formed within the Earth. These and other techniques, combined with theoretical models and computing power, have opened new areas of research and have permitted us to learn more about the materials and processes of the Earth's interior. These modern techniques have been instrumental in the development of plate tectonic theory, the encompassing paradigm that guides much present geologic thought. Given the limitations of inaccessibility mentioned above, it is impressive how much we have learned about our planet. Modern petrology, because it, addresses processes that occur hidden from view deep within the Earth, must rely heavily on data other than simple observation.

In the pages that follow I shall attempt to explain the techniques employed, and the resulting insights they provide into the creation of the igneous and metamorphic rocks now found at the surface of the Earth. The reader should be aware, however, that the results of our investigations, however impressive and consistent they may appear, are still based in large part on indirect evidence and inferential reasoning. I'm sure that the many researchers whose painstaking work we shall review would join me in urging a healthy skepticism lest we become too dogmatic in our perspective. Ideas and theories are always in a state of flux. Many of today's ideas may be discarded tomorrow as new information becomes available and/or other ideas take their place. Certainly petrology is not exempt from this process. If so, it would be far too dull to pursue.

The term petrology comes from the Greek petra (rock) and logos (explanation), and means the study of rocks and the processes that produce them. Such study includes description and classification of rocks, as well as interpretation of their origin. Petrology is subdivided into the study of the three major rock types: sedimentary, igneous, and metamorphic. At the undergraduate level in most colleges and universities, sedimentary petrology is taught as a separate course, usually with stratigraphy. Igneous and metamorphic petrology are commonly combined, due to the similarity of approach and principles involved. I intend this book for either a combined igneous/metamorphic course or two separate ones. In the interest of brevity, I will henceforth use the term "petrology" to mean the study of igneous and metamorphic rocks and processes. I hope not to offend sedimentary petrologists by this, but it would prove burdensome to continually redraw the distinction.

I shall concentrate on the processes and principles involved in the generation of igneous and metamorphic rocks, rather than dwell upon lists of details to be memorized. Certainly facts are important (after all, they compose the data upon which the interpretations are based), but when students concentrate on the processes of geology, and the processes by which we investigate them, they get a deeper understanding, more lasting knowledge, and develop skills that will prove valuable beyond the classroom.

As mentioned above, modern petrology borrows heavily from the fields of chemistry and physics. Indeed, the student taking a petrology course should have completed a year of chemistry, and at least high school physics. Calculus, too, would help, but is not required. Some students, who were attracted to geology for its field bias, are initially put off by the more rigorous chemical and theoretical aspect of petrology. I intend this text to give students some exposure to the application of chemical and physical principles to geological problems, and I hope that some practice will give them confidence in using quantitative techniques. At the same time, I do not want to so burden them that they lose the perspective that this is a course in geology, not chemistry, physics, or computer science. We must bear in mind that the Earth itself is the true proving ground for all the ideas we deal with. Even the most elegant models, theories, and experimental results, if not manifested in the rocks in the field, are useless (and probably wrong as well).

All textbooks need to balance brevity, breadth, and depth. Whole books are dedicated to such subjects as thermodynamics, trace elements, isotopes, basalts, or even specialized subjects as kimberlites, lamproites, or mantle metasomatism. When distilling this sea of wisdom to an introductory or survey level, vast amounts of material must necessarily be abbreviated or left out. Of course it is up to the author to decide what is to be selected. We each have our own areas of interest, resulting; in a somewhat biased coverage. To those who object to, the light coverage I give to some subjects and my overindulgence in others, I apologize. The coverage here is not intended to replace more specialized classes and. deeper levels of inquiry for those proceeding on to graduate studies in petrology. There is no attempt to develop theoretical techniques, such as thermodynamics or trace. elements from first principles. Rather, enough background is given for a degree of competence with using; the techniques, but the direction is clearly toward application. We gain from our more general perspective a. broad overview of the Earth as a dynamic system that: produces a variety of igneous and metamorphic rocks in. a wide range of settings. We will not only learn about: these various settings and the processes that operate. there, but we will develop the skills necessary to evaluate and understand them. Once again, I urge you to be. critical as you progress through this text. Ask yourself if' the evidence presented to support an assertion is adequate. This text is different from texts only 10 years old. We might all wonder what interpretations will change in. a text published 10 years from now.

Following the traditional approach, I have divided the book into an igneous section and a metamorphic section. Each begins with an introductory chapter, followed by a. chapter on the description and classification of appropriate rock types and a chapter on the development and, interpretation of textures. The chapters on classification. and textures are intended as a laboratory supplement„ and not for lecture-discussion. I have tried to explain. most petrologic terms as they are presented, but you will. invariably run across terms with which you are unfamiliar. I usually place a new term in bold typeface. If you. forget a term, it can usually be found in the index, but a. dictionary of geological terms is also a good companion. The inside front cover lists the mineral abbreviations and acronyms that I commonly use.

Chapter 4 is a review of the field relationships of igneous rocks. It is relatively simple and intended to supply a background for the more detailed concepts to follow. Students may simply read it on their own. Chapters 5 through 9 are the most intensive chapters, in which I develop the theoretical and chemical concepts that will be needed to study igneous systems. By the time many, students reach Chapter 9 they may fear that they are in the wrong course, or worse, the wrong major! Fortunately things slow down after this, and are oriented more: toward application of the techniques to real rocks. Chapter 10 addresses the generation of basaltic magma in the: mantle, and Chapter 11 deals with the evolution of such magmas once they are created. Chapters 12-20 explore; the common igneous associations, using the techniques, developed in Chapters 5-9 to develop models for their genesis. Few combined igneousmetamorphic petrology courses have the time to explore all of the igneous associations covered in Chapters 12-20, and instructors will commonly choose among their favorites. Students can explore the others on their own, or refer to them later if the need arises. One can also get a decent review of these chapters by reading the final section in each, which discusses a petrogenetic model. The models, however, are based on the petrological and chemical data developed in the chapter, so many of the conclusions will have to be taken on faith. I teach a year-long mineralogy-petrology sequence, and have found it advantageous to cover Chapters 5, 6, and 7 (which may be considered transitional between mineralogy and petrology) in the fall in mineralogy, leaving more time to do petrology during the second semester.

The metamorphic section is shorter than the igneous section, because there are not as many specific tectonic associations. The approach I follow is to consider metamorphic rocks as chemical systems at equilibrium, manifested as stable mineral assemblages. The mineral assemblages vary both spatially and temporally due to variations in pressure, temperature, composition, and the nature of associated fluids. Changes in mineral assemblage are achieved by chemical reactions, and are controlled by these variables just mentioned. Qualitative approaches to assessing the equilibria are developed in Chapters 24-26. Chapter 27 addresses the quantitative approach, using thermodynamics and geothermobarometry. Chapters 28 and 29 apply the techniques to specific common rock types: pelites, carbonates, and ultramafic rocks. Finally, Chapter 30 explores metasomatism. Less rigorous courses, or ones that run short of time, can drop Chapters 27 and 30 without rendering the other chapters incomprehensible.

I often make references in the text to other sections and figures where a concept, approach, or technique is introduced or developed more fully. These references are intended to assist the reader, should a concept be slightly unfamiliar, or if more information is desired. They do not imply that the reader must follow their lead in order to understand the discussion at hand.

To give students a better understanding of the processes and principles involved, I have integrated a number of problems into the text. The problems are an important part of the text, and working through them, rather than simply scanning them, will make an enormous difference in the student's understanding. The occasional problem integrated into the reading as a "worked example" should be done at the time it is encountered, as it is intended to illustrate the concept being presented. Problems at the end of a chapter are intended as review, and to bring together the material discussed in the particular chapter. Problems not only provide a deeper understanding of the principles involved, they give students some practice at data analysis and the tools that geologists commonly employ. Many problems can be done with just a hand calculator, but most would be done more efficiently with a computer, and some require one. Spreadsheets and other computer programs permit us quickly to get past the drudgery of handling moderate to large amounts of data or creating graphs, and into the more interesting aspects of interpreting the results. The ability to use a computer, and particularly a spreadsheet, is necessary for all science students. On my Web page (http://www.whitman.edu/geology/) you can download a number of files supplementary to this text. Included is a brief introduction to the use of Excel® (Excel.doc, a Word for Windows document). If you are not familiar with the use of a spreadsheet, I suggest you read this and try the exercise as soon as you can. Also on the Web site are some programs and data compilations for a number of the problems. Other problems will assume that particular petrologic programs are available in a campus computer. Among these are the following: IgPet® which is a program for manipulating and displaying chemical data for igneous rocks; TWQ®, THERMOCALC®, and SUPCRT® which are thermodynamic databases that calculate mineral equilibria at elevated temperatures and pressures. THERMOBAROMETRY®, calculates pressures and/or temperatures of equilibrium from mineral compositions. A list of those programs and pertinent information for their acquisition is on the web site. Of course, the basic law of computers must be kept in mind: To be useful, the data must be representative, relatively complete, and of good quality. Computers can output beautifully crafted diagrams that can make even wrong data look deceptively good.

Finally, a word on units. I have used SI (Système International) units throughout the text. Although most petrologists are more familiar with calories and bars for energy and pressure, respectively, the SI units are gradually becoming the norm. I think it best that you get your exposure to these units as early as possible, because I have an awful time with them after so many years thinking in kilobars and calories. Calculations are also easier, because the units are standardized. The only deviation that I shall make from the strict SI terminology is to commonly refer to temperature in degrees Celsius, rather than in Kelvins, but this is only a difference with regard to reference, and not the magnitude of the units themselves. The Appendix lists the units and prefixes used. Please look at this list as soon as possible for a general familiarity, and particularly for the prefixes of magnitude, so that you will be able to interpret such common terms as Ma (million years), or GPa (billion pascals pressure). Because minerals commonly have long names, and are mentioned so often, at times I shall abbreviate the names in the text and on figures. The inside front cover lists the mineral abbreviations and several of the other acronyms that petrologists commonly employ.

If you have any comments, questions, corrections, or suggestions for future editions, please let me know. My e-mail address is winterj@whitman.edu. ACKNOWLEDGMENTS

No text is an individual endeavor. My deepest gratitude goes to those workers whose efforts in the field and laboratory I have summarized in what follows. Special thanks to colleagues and students who have reviewed early drafts and corrected errors or helped refine my thinking when it was muddled or in error. I owe more than I can say to the generosity of Bernard Evans, Frank Spear, Spencer Cotkin, Rick Conrey, John Brady, and Jack Cheney, who reviewed substantial portions of the text with great care and patience. Many thanks also to colleagues who unselfishly reviewed and commented on individual chapters: Stu McCallum, Roger Mitchell, John Gittins, William Scott, Jack Rice, Barrie Clark, Paul Mohr, Lawford Anderson, Tracy Vallier, Bill Bonnischen, and Andrew Wulff. Also thanks to Bill Bonnichsen, University of Idaho/Idaho Geological Survey; Spencer Cotkin, University of Illinois at Urbana-Champaign; J. T. Cheney, Amherst College; and Bernard Evans, University of Washington for their review. I am also very grateful to Amy Kushner and Cora Heid for their efforts in handling copyright permissions, a job for someone more organized than myself.

John D. Winter
Whitman College

Table of Contents

I. IGNEOUS PETROLOGY.

 1. Some Fundamental Concepts.

 2. Classification and Nomenclature of Igneous Rocks.

 3. Textures of Igneous Rocks.

 4. Igneous Structures and Field Relationships.

 5. An Introduction to Thermodynamics.

 6. The Phase Rule and One- and Two-Component Systems.

 7. Systems with More Than Two Components.

 8. Chemical Petrology I: Major and Minor Elements.

 9. Chemical Petrology II: Trace Elements and Isotopes.

10. Generation of Basaltic Magmas.

11. Diversification of Magmas.

12. Layered Mafic Intrusions.

13. Mid-Ocean Ridge Volcanism.

14. Oceanic Intraplate Volcanism.

15. Continental Flood Basalts.

16. Subduction-Related Igneous Activity Part I: Island Areas.

17. Subduction-Related Igneous Activity Part II: Active Continental Margins.

18. Granitoid Rocks.

19. Continental Alkaline Magmatism.

20. Anorthosites.

II. METAMORPHIC PETROLOGY.

21. An Introduction to Metamorphism.

22. A Classification of Metamorphic Rocks.

23. Structures and Textures of Metamorphic Rocks.

24. Stable Mineral Assemblages in Metamorphic Rocks.

25. Metamorphic Facies and Metamorphosed Mafic Rocks.

26. Metamorphic Reactions.

27. Thermodynamics of Metamorphic Reactions.

28. Metamorphism of Pelitic Sediments.

29. Metamorphism of Calcareous and Ultramafic Rocks.

30. Metamorphic Fluids and Metasomatism.

Appendix A: Units and Constants.

Appendix B:Abbreviations and Acronyms.

Appendix C: The CIPW Norm.

Preface

PREFACE:

Preface

This text is designed for use in advanced undergraduate or early graduate courses in igneous and metamorphic petrology. The book is extensive enough to be used in separate igneous and metamorphic courses, but I use it for a one-semester combined course by selecting from the available chapters. The nature of geological investigations has largely shaped the approach that I follow.

Geology is often plagued by the problem of inaccessibility. Geological observers really see only a tiny fraction of the rocks that compose the Earth. Uplift and erosion exposes some deep-seated rocks, whereas others are delivered as xenoliths in magma, but their exact place of origin is vague at best. As a result, a large proportion of our information about the Earth is indirect, coming from melts of subsurface material, geophysical studies, or experiments conducted at elevated temperatures and pressures.

The problem of inaccessibility has a temporal aspect as well. Most Earth processes are exceedingly slow. As a result, we seldom are blessed with the opportunity of observing even surface processes at rates that lend themselves to ready interpretation (volcanism is a rare exception for petrologists). In most other sciences, theories can be tested by experiment. In geology, as a rule, flat experiment has run to its present state and is impossible to reproduce. Our common technique is to observe the results and infer what the experiment was. Most of our work is thus inferential and deductive. Rather than being repulsed by this aspect of our work, I believe most geologists are attracted by it.

The nature of how geology is practicedhaschanged dramatically in recent years. Early geologists worked strictly in the observational and deductive fashion described above. The body of knowledge resulting from the painstaking accumulation of data observable with the naked eye or under a light microscope is impressive, and most of the theories concerning how the Earth works that were developed by the mid-20th century are still considered valid today, at least in broad terms. Modern post-war technology, however, has provided geologists with the means to study the Earth using techniques borrowed from our colleagues in the fields of physics and chemistry. We have mapped and sampled much of the ocean basins; we have probed the mantle using variations in gravity and seismic waves; we can perform chemical analyses of rocks and minerals quickly and with high precision; we can also study natural and synthetic specimens at elevated temperatures and pressures in the laboratory to approximate the conditions at which many rocks formed within the Earth. These and other techniques, combined with theoretical models and computing power, have opened new areas of research and have permitted us to learn more about the materials and processes of the Earth's interior. These modern techniques have been instrumental in the development of plate tectonic theory, the encompassing paradigm that guides much present geologic thought. Given the limitations of inaccessibility mentioned above, it is impressive how much we have learned about our planet. Modern petrology, because it, addresses processes that occur hidden from view deep within the Earth, must rely heavily on data other than simple observation.

In the pages that follow I shall attempt to explain the techniques employed, and the resulting insights they provide into the creation of the igneous and metamorphic rocks now found at the surface of the Earth. The reader should be aware, however, that the results of our investigations, however impressive and consistent they may appear, are still based in large part on indirect evidence and inferential reasoning. I'm sure that the many researchers whose painstaking work we shall review would join me in urging a healthy skepticism lest we become too dogmatic in our perspective. Ideas and theories are always in a state of flux. Many of today's ideas may be discarded tomorrow as new information becomes available and/or other ideas take their place. Certainly petrology is not exempt from this process. If so, it would be far too dull to pursue.

The term petrology comes from the Greek petra (rock) and logos (explanation), and means the study of rocks and the processes that produce them. Such study includes description and classification of rocks, as well as interpretation of their origin. Petrology is subdivided into the study of the three major rock types: sedimentary, igneous, and metamorphic. At the undergraduate level in most colleges and universities, sedimentary petrology is taught as a separate course, usually with stratigraphy. Igneous and metamorphic petrology are commonly combined, due to the similarity of approach and principles involved. I intend this book for either a combined igneous/metamorphic course or two separate ones. In the interest of brevity, I will henceforth use the term "petrology" to mean the study of igneous and metamorphic rocks and processes. I hope not to offend sedimentary petrologists by this, but it would prove burdensome to continually redraw the distinction.

I shall concentrate on the processes and principles involved in the generation of igneous and metamorphic rocks, rather than dwell upon lists of details to be memorized. Certainly facts are important (after all, they compose the data upon which the interpretations are based), but when students concentrate on the processes of geology, and the processes by which we investigate them, they get a deeper understanding, more lasting knowledge, and develop skills that will prove valuable beyond the classroom.

As mentioned above, modern petrology borrows heavily from the fields of chemistry and physics. Indeed, the student taking a petrology course should have completed a year of chemistry, and at least high school physics. Calculus, too, would help, but is not required. Some students, who were attracted to geology for its field bias, are initially put off by the more rigorous chemical and theoretical aspect of petrology. I intend this text to give students some exposure to the application of chemical and physical principles to geological problems, and I hope that some practice will give them confidence in using quantitative techniques. At the same time, I do not want to so burden them that they lose the perspective that this is a course in geology, not chemistry, physics, or computer science. We must bear in mind that the Earth itself is the true proving ground for all the ideas we deal with. Even the most elegant models, theories, and experimental results, if not manifested in the rocks in the field, are useless (and probably wrong as well).

All textbooks need to balance brevity, breadth, and depth. Whole books are dedicated to such subjects as thermodynamics, trace elements, isotopes, basalts, or even specialized subjects as kimberlites, lamproites, or mantle metasomatism. When distilling this sea of wisdom to an introductory or survey level, vast amounts of material must necessarily be abbreviated or left out. Of course it is up to the author to decide what is to be selected. We each have our own areas of interest, resulting; in a somewhat biased coverage. To those who object to, the light coverage I give to some subjects and my overindulgence in others, I apologize. The coverage here is not intended to replace more specialized classes and. deeper levels of inquiry for those proceeding on to graduate studies in petrology. There is no attempt to develop theoretical techniques, such as thermodynamics or trace. elements from first principles. Rather, enough background is given for a degree of competence with using; the techniques, but the direction is clearly toward application. We gain from our more general perspective a. broad overview of the Earth as a dynamic system that: produces a variety of igneous and metamorphic rocks in. a wide range of settings. We will not only learn about: these various settings and the processes that operate. there, but we will develop the skills necessary to evaluate and understand them. Once again, I urge you to be. critical as you progress through this text. Ask yourself if' the evidence presented to support an assertion is adequate. This text is different from texts only 10 years old. We might all wonder what interpretations will change in. a text published 10 years from now.

Following the traditional approach, I have divided the book into an igneous section and a metamorphic section. Each begins with an introductory chapter, followed by a. chapter on the description and classification of appropriate rock types and a chapter on the development and, interpretation of textures. The chapters on classification. and textures are intended as a laboratory supplement" and not for lecture-discussion. I have tried to explain. most petrologic terms as they are presented, but you will. invariably run across terms with which you are unfamiliar. I usually place a new term in bold typeface. If you. forget a term, it can usually be found in the index, but a. dictionary of geological terms is also a good companion. The inside front cover lists the mineral abbreviations and acronyms that I commonly use.

Chapter 4 is a review of the field relationships of igneous rocks. It is relatively simple and intended to supply a background for the more detailed concepts to follow. Students may simply read it on their own. Chapters 5 through 9 are the most intensive chapters, in which I develop the theoretical and chemical concepts that will be needed to study igneous systems. By the time many, students reach Chapter 9 they may fear that they are in the wrong course, or worse, the wrong major! Fortunately things slow down after this, and are oriented more: toward application of the techniques to real rocks. Chapter 10 addresses the generation of basaltic magma in the: mantle, and Chapter 11 deals with the evolution of such magmas once they are created. Chapters 12-20 explore; the common igneous associations, using the techniques, developed in Chapters 5-9 to develop models for their genesis. Few combined igneousmetamorphic petrology courses have the time to explore all of the igneous associations covered in Chapters 12-20, and instructors will commonly choose among their favorites. Students can explore the others on their own, or refer to them later if the need arises. One can also get a decent review of these chapters by reading the final section in each, which discusses a petrogenetic model. The models, however, are based on the petrological and chemical data developed in the chapter, so many of the conclusions will have to be taken on faith. I teach a year-long mineralogy-petrology sequence, and have found it advantageous to cover Chapters 5, 6, and 7 (which may be considered transitional between mineralogy and petrology) in the fall in mineralogy, leaving more time to do petrology during the second semester.

The metamorphic section is shorter than the igneous section, because there are not as many specific tectonic associations. The approach I follow is to consider metamorphic rocks as chemical systems at equilibrium, manifested as stable mineral assemblages. The mineral assemblages vary both spatially and temporally due to variations in pressure, temperature, composition, and the nature of associated fluids. Changes in mineral assemblage are achieved by chemical reactions, and are controlled by these variables just mentioned. Qualitative approaches to assessing the equilibria are developed in Chapters 24-26. Chapter 27 addresses the quantitative approach, using thermodynamics and geothermobarometry. Chapters 28 and 29 apply the techniques to specific common rock types: pelites, carbonates, and ultramafic rocks. Finally, Chapter 30 explores metasomatism. Less rigorous courses, or ones that run short of time, can drop Chapters 27 and 30 without rendering the other chapters incomprehensible.

I often make references in the text to other sections and figures where a concept, approach, or technique is introduced or developed more fully. These references are intended to assist the reader, should a concept be slightly unfamiliar, or if more information is desired. They do not imply that the reader must follow their lead in order to understand the discussion at hand.

To give students a better understanding of the processes and principles involved, I have integrated a number of problems into the text. The problems are an important part of the text, and working through them, rather than simply scanning them, will make an enormous difference in the student's understanding. The occasional problem integrated into the reading as a "worked example" should be done at the time it is encountered, as it is intended to illustrate the concept being presented. Problems at the end of a chapter are intended as review, and to bring together the material discussed in the particular chapter. Problems not only provide a deeper understanding of the principles involved, they give students some practice at data analysis and the tools that geologists commonly employ. Many problems can be done with just a hand calculator, but most would be done more efficiently with a computer, and some require one. Spreadsheets and other computer programs permit us quickly to get past the drudgery of handling moderate to large amounts of data or creating graphs, and into the more interesting aspects of interpreting the results. The ability to use a computer, and particularly a spreadsheet, is necessary for all science students. On my Web page (...

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