Viscosity of the Earth's Mantle / / Lawrence M. Cathles.
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...
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Cathles, Lawrence M., author. aut http://id.loc.gov/vocabulary/relators/aut Viscosity of the Earth's Mantle / Lawrence M. Cathles. Princeton, NJ : Princeton University Press, [2015] ©1975 1 online resource (414 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Legacy Library ; 1362 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Glacial epoch. Isostasy. Mantle of the Earth. SCIENCE / Earth Sciences / Geology. bisacsh Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 9783110426847 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691617831 https://doi.org/10.1515/9781400867684 https://www.degruyter.com/isbn/9781400867684 Cover https://www.degruyter.com/cover/covers/9781400867684.jpg |
language |
English |
format |
eBook |
author |
Cathles, Lawrence M., Cathles, Lawrence M., |
spellingShingle |
Cathles, Lawrence M., Cathles, Lawrence M., 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 |
author_facet |
Cathles, Lawrence M., Cathles, Lawrence M., |
author_variant |
l m c lm lmc l m c lm lmc |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Cathles, Lawrence M., |
title |
Viscosity of the Earth's Mantle / |
title_full |
Viscosity of the Earth's Mantle / Lawrence M. Cathles. |
title_fullStr |
Viscosity of the Earth's Mantle / Lawrence M. Cathles. |
title_full_unstemmed |
Viscosity of the Earth's Mantle / Lawrence M. Cathles. |
title_auth |
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_new |
Viscosity of the Earth's Mantle / |
title_sort |
viscosity of the earth's mantle / |
series |
Princeton Legacy Library ; |
series2 |
Princeton Legacy Library ; |
publisher |
Princeton University Press, |
publishDate |
2015 |
physical |
1 online resource (414 p.) Issued also in print. |
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 |
isbn |
9781400867684 9783110426847 9783110413595 9783110442496 9780691617831 |
callnumber-first |
Q - Science |
callnumber-subject |
QE - Geology |
callnumber-label |
QE511 |
callnumber-sort |
QE 3511 C36 |
url |
https://doi.org/10.1515/9781400867684 https://www.degruyter.com/isbn/9781400867684 https://www.degruyter.com/cover/covers/9781400867684.jpg |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
550 - Earth sciences & geology |
dewey-ones |
551 - Geology, hydrology & meteorology |
dewey-full |
551.12 |
dewey-sort |
3551.12 |
dewey-raw |
551.12 |
dewey-search |
551.12 |
doi_str_mv |
10.1515/9781400867684 |
oclc_num |
903318585 |
work_keys_str_mv |
AT cathleslawrencem viscosityoftheearthsmantle |
status_str |
n |
ids_txt_mv |
(DE-B1597)454119 (OCoLC)903318585 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Viscosity of the Earth's Mantle / |
container_title |
Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1931-1979 |
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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. 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