The viscosity of the earth's mantle /:
Approximately 12,000 years ago, at the end of the last ice age, the three kilometers of ice that covered Canada, the large European glaciers in Fennoscandia and Siberia, and many other minor glaciers melted quickly. The resulting meltwaters increased the depth of the world's oceans by about 110...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, New Jersey :
Princeton University Press,
1975.
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| Schriftenreihe: | Princeton legacy library.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Approximately 12,000 years ago, at the end of the last ice age, the three kilometers of ice that covered Canada, the large European glaciers in Fennoscandia and Siberia, and many other minor glaciers melted quickly. The resulting meltwaters increased the depth of the world's oceans by about 110 meters. The earth's response to this redistribution of loads was one of fluid flow. By studying the way in which that flow occurred, much can be learned about the viscosity structure of the earth's mantle: that is, how the fluid properties of the earth vary with depth. In this volume Lawrence M. Cathles III sets out to lay the theoretical foundations necessary to model the isostatic (fluid) adjustment of a self-gravitating viscoelastic sphere, such as the earth, and to use these foundations, together with geological evidence of the way the earth responded to the pleistocene land redistributions, to study the viscosity of the mantle.The author argues that the viscosity of the entire mantle is very close to 1022 poise, except for a low-viscosity channel, about 75 kilometers thick, in the uppermost mantle. This conclusion differs sharply from the common view that the earth's mantle becomes very viscous (1027 poise) below a depth of about 1000 kilometers.Originally published in 1975.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. |
| Beschreibung: | 1 online resource (413 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781400867684 1400867681 069161783X 9780691617831 0691644926 9780691644929 |
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| 245 | 1 | 4 | |a The viscosity of the earth's mantle / |c Lawrence M. Cathles, III. |
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| 505 | 0 | 0 | |t Frontmatter -- |t ACKNOWLEDGMENTS -- |t CONTENTS -- |t ILLUSTRATIONS -- |t TABLES -- |t ONE. Introduction -- |t TWO. Physical and Mathematical Foundations -- |t A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres -- |t B. Constitutive Equations to Model the Earth -- |t C. Matrix Methods of Solution -- |t THREE. Formulation of the Theory For Application to the Earth -- |t A. Flat Earth, Constant Gravitation -- |t B. Spherical Earth -- |t FOUR. Application of Theory: The Earth's Viscosity Structure -- |t A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level -- |t B. The Lithosphere -- |t C. The Viscosity of the Uppermost Mantle -- |t D. The Upper Mantle -- |t E. The Viscosity of the Lower Mantle -- |t F. Summary of Conclusions: Recommendations for Further Work -- |t Appendices -- |t APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen -- |t APPENDIX II. Flat Space Runge-Kutta Equations -- |t APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) -- |t APPENDIX IV. Boundary Conditions at the Fluid Core -- |t APPENDIX V. Spherical Harmonics -- |t APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space -- |t APPENDIX VII. Glacial Uplift in Canada -- |t BIBLIOGRAPHY -- |t INDEX -- |t Backmatter |
| 520 | |a Approximately 12,000 years ago, at the end of the last ice age, the three kilometers of ice that covered Canada, the large European glaciers in Fennoscandia and Siberia, and many other minor glaciers melted quickly. The resulting meltwaters increased the depth of the world's oceans by about 110 meters. The earth's response to this redistribution of loads was one of fluid flow. By studying the way in which that flow occurred, much can be learned about the viscosity structure of the earth's mantle: that is, how the fluid properties of the earth vary with depth. In this volume Lawrence M. Cathles III sets out to lay the theoretical foundations necessary to model the isostatic (fluid) adjustment of a self-gravitating viscoelastic sphere, such as the earth, and to use these foundations, together with geological evidence of the way the earth responded to the pleistocene land redistributions, to study the viscosity of the mantle.The author argues that the viscosity of the entire mantle is very close to 1022 poise, except for a low-viscosity channel, about 75 kilometers thick, in the uppermost mantle. This conclusion differs sharply from the common view that the earth's mantle becomes very viscous (1027 poise) below a depth of about 1000 kilometers.Originally published in 1975.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. | ||
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| author | Cathles, Lawrence M., III, 1943- |
| author_GND | http://id.loc.gov/authorities/names/no2023072942 |
| author_facet | Cathles, Lawrence M., III, 1943- |
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| contents | Frontmatter -- ACKNOWLEDGMENTS -- CONTENTS -- ILLUSTRATIONS -- TABLES -- ONE. Introduction -- TWO. Physical and Mathematical Foundations -- A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres -- B. Constitutive Equations to Model the Earth -- C. Matrix Methods of Solution -- THREE. Formulation of the Theory For Application to the Earth -- A. Flat Earth, Constant Gravitation -- B. Spherical Earth -- FOUR. Application of Theory: The Earth's Viscosity Structure -- A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level -- B. The Lithosphere -- C. The Viscosity of the Uppermost Mantle -- D. The Upper Mantle -- E. The Viscosity of the Lower Mantle -- F. Summary of Conclusions: Recommendations for Further Work -- Appendices -- APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen -- APPENDIX II. Flat Space Runge-Kutta Equations -- APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) -- APPENDIX IV. Boundary Conditions at the Fluid Core -- APPENDIX V. Spherical Harmonics -- APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space -- APPENDIX VII. Glacial Uplift in Canada -- BIBLIOGRAPHY -- INDEX -- Backmatter |
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| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.1/2 |
| dewey-search | 551.1/2 |
| dewey-sort | 3551.1 12 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie |
| format | Electronic eBook |
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| geographic | Earth (Planet) Mantle. http://id.loc.gov/authorities/subjects/sh85040438 Terre Manteau. Earth (Planet) fast https://id.oclc.org/worldcat/entity/E39PBJB8v443pPTqgvXgPkBtrq |
| geographic_facet | Earth (Planet) Mantle. Terre Manteau. Earth (Planet) |
| id | ZDB-4-EBA-ocn905862747 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:26:32Z |
| institution | BVB |
| isbn | 9781400867684 1400867681 069161783X 9780691617831 0691644926 9780691644929 |
| language | English |
| oclc_num | 905862747 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (413 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Princeton University Press, |
| record_format | marc |
| series | Princeton legacy library. |
| series2 | Princeton Legacy Library |
| spelling | Cathles, Lawrence M., III, 1943- author. http://id.loc.gov/authorities/names/no2023072942 The viscosity of the earth's mantle / Lawrence M. Cathles, III. Princeton, New Jersey : Princeton University Press, 1975. ©1975 1 online resource (413 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton Legacy Library Includes bibliographical references and index. Print version record. English. Frontmatter -- ACKNOWLEDGMENTS -- CONTENTS -- ILLUSTRATIONS -- TABLES -- ONE. Introduction -- TWO. Physical and Mathematical Foundations -- A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres -- B. Constitutive Equations to Model the Earth -- C. Matrix Methods of Solution -- THREE. Formulation of the Theory For Application to the Earth -- A. Flat Earth, Constant Gravitation -- B. Spherical Earth -- FOUR. Application of Theory: The Earth's Viscosity Structure -- A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level -- B. The Lithosphere -- C. The Viscosity of the Uppermost Mantle -- D. The Upper Mantle -- E. The Viscosity of the Lower Mantle -- F. Summary of Conclusions: Recommendations for Further Work -- Appendices -- APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen -- APPENDIX II. Flat Space Runge-Kutta Equations -- APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) -- APPENDIX IV. Boundary Conditions at the Fluid Core -- APPENDIX V. Spherical Harmonics -- APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space -- APPENDIX VII. Glacial Uplift in Canada -- BIBLIOGRAPHY -- INDEX -- Backmatter Approximately 12,000 years ago, at the end of the last ice age, the three kilometers of ice that covered Canada, the large European glaciers in Fennoscandia and Siberia, and many other minor glaciers melted quickly. The resulting meltwaters increased the depth of the world's oceans by about 110 meters. The earth's response to this redistribution of loads was one of fluid flow. By studying the way in which that flow occurred, much can be learned about the viscosity structure of the earth's mantle: that is, how the fluid properties of the earth vary with depth. In this volume Lawrence M. Cathles III sets out to lay the theoretical foundations necessary to model the isostatic (fluid) adjustment of a self-gravitating viscoelastic sphere, such as the earth, and to use these foundations, together with geological evidence of the way the earth responded to the pleistocene land redistributions, to study the viscosity of the mantle.The author argues that the viscosity of the entire mantle is very close to 1022 poise, except for a low-viscosity channel, about 75 kilometers thick, in the uppermost mantle. This conclusion differs sharply from the common view that the earth's mantle becomes very viscous (1027 poise) below a depth of about 1000 kilometers.Originally published in 1975.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. Isostasy. http://id.loc.gov/authorities/subjects/sh85068670 Glacial epoch. http://id.loc.gov/authorities/subjects/sh85055046 Earth (Planet) Mantle. http://id.loc.gov/authorities/subjects/sh85040438 Isostasie. Époque glaciaire. Terre Manteau. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Planets Mantles fast Glacial epoch fast Isostasy fast Earth (Planet) fast https://id.oclc.org/worldcat/entity/E39PBJB8v443pPTqgvXgPkBtrq Print version: Cathles, Lawrence M., 1943- Viscosity of the earth's mantle. Princeton, New Jersey : Princeton University Press, ©1975 386 pages Princeton legacy library. 9780691617831 Princeton legacy library. http://id.loc.gov/authorities/names/no2014116408 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=946660 Volltext |
| spellingShingle | Cathles, Lawrence M., III, 1943- The viscosity of the earth's mantle / Princeton legacy library. Frontmatter -- ACKNOWLEDGMENTS -- CONTENTS -- ILLUSTRATIONS -- TABLES -- ONE. Introduction -- TWO. Physical and Mathematical Foundations -- A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres -- B. Constitutive Equations to Model the Earth -- C. Matrix Methods of Solution -- THREE. Formulation of the Theory For Application to the Earth -- A. Flat Earth, Constant Gravitation -- B. Spherical Earth -- FOUR. Application of Theory: The Earth's Viscosity Structure -- A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level -- B. The Lithosphere -- C. The Viscosity of the Uppermost Mantle -- D. The Upper Mantle -- E. The Viscosity of the Lower Mantle -- F. Summary of Conclusions: Recommendations for Further Work -- Appendices -- APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen -- APPENDIX II. Flat Space Runge-Kutta Equations -- APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) -- APPENDIX IV. Boundary Conditions at the Fluid Core -- APPENDIX V. Spherical Harmonics -- APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space -- APPENDIX VII. Glacial Uplift in Canada -- BIBLIOGRAPHY -- INDEX -- Backmatter Isostasy. http://id.loc.gov/authorities/subjects/sh85068670 Glacial epoch. http://id.loc.gov/authorities/subjects/sh85055046 Isostasie. Époque glaciaire. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Planets Mantles fast Glacial epoch fast Isostasy fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85068670 http://id.loc.gov/authorities/subjects/sh85055046 http://id.loc.gov/authorities/subjects/sh85040438 |
| title | The viscosity of the earth's mantle / |
| title_alt | Frontmatter -- ACKNOWLEDGMENTS -- CONTENTS -- ILLUSTRATIONS -- TABLES -- ONE. Introduction -- TWO. Physical and Mathematical Foundations -- A. Equations of Motion of Self-gravitating Elastic and Self-gravitating Viscous Spheres -- B. Constitutive Equations to Model the Earth -- C. Matrix Methods of Solution -- THREE. Formulation of the Theory For Application to the Earth -- A. Flat Earth, Constant Gravitation -- B. Spherical Earth -- FOUR. Application of Theory: The Earth's Viscosity Structure -- A. The Duration and Magnitude of the Ice Load: Meltwater Curves and Eustatic Sea Level -- B. The Lithosphere -- C. The Viscosity of the Uppermost Mantle -- D. The Upper Mantle -- E. The Viscosity of the Lower Mantle -- F. Summary of Conclusions: Recommendations for Further Work -- Appendices -- APPENDIX I. Sketch Derivation of the Navier-Stokes Equation after Eringen -- APPENDIX II. Flat Space Runge-Kutta Equations -- APPENDIX III .Reduction of Equation of Motion in Spherical Coordinates to Scaler Form after Backus (1967) -- APPENDIX IV. Boundary Conditions at the Fluid Core -- APPENDIX V. Spherical Harmonics -- APPENDIX VI .The Isostatic Adjustment of a Layered Viscous Half-Space -- APPENDIX VII. Glacial Uplift in Canada -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| title_auth | The viscosity of the earth's mantle / |
| title_exact_search | The viscosity of the earth's mantle / |
| title_full | The viscosity of the earth's mantle / Lawrence M. Cathles, III. |
| title_fullStr | The viscosity of the earth's mantle / Lawrence M. Cathles, III. |
| title_full_unstemmed | The viscosity of the earth's mantle / Lawrence M. Cathles, III. |
| title_short | The viscosity of the earth's mantle / |
| title_sort | viscosity of the earth s mantle |
| topic | Isostasy. http://id.loc.gov/authorities/subjects/sh85068670 Glacial epoch. http://id.loc.gov/authorities/subjects/sh85055046 Isostasie. Époque glaciaire. SCIENCE Earth Sciences Geology. bisacsh SCIENCE Earth Sciences Geography. bisacsh Planets Mantles fast Glacial epoch fast Isostasy fast |
| topic_facet | Isostasy. Glacial epoch. Earth (Planet) Mantle. Isostasie. Époque glaciaire. Terre Manteau. SCIENCE Earth Sciences Geology. SCIENCE Earth Sciences Geography. Planets Mantles Glacial epoch Isostasy Earth (Planet) |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=946660 |
| work_keys_str_mv | AT cathleslawrencem theviscosityoftheearthsmantle AT cathleslawrencem viscosityoftheearthsmantle |