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Geophysical Monograph Series Including IUGG Volumes Maurice Ewing Volumes Mineral Physics Volumes Geophysical Monograph Series 122 Dynamics of Fluids in Fractured Rock Boris 143 Mt. Etna: Volcano Laboratory Alessandro Bonaccorso, Faybishenko, Paul A. Witherspoon, and Sally M. Benson Sonia Calvari, Mauro Coltelli, Ciro Del Negro, and (Eds.) Susanna Falsaperla (Eds.) 123 Atmospheric Science Across the Stratopause David E. 144 The Subseafloor Biosphere at Mid-Ocean Ridges Siskind, Stephen D. Eckerman, and Michael E. Summers William S. D. Wilcock, Edward F. DeLong, Deborah S. (Eds.) Kelley, John A. Baross, and S. Craig Cary (Eds.) 124 Natural Gas Hydrates: Occurrence, Distribution, and 145 Timescales of the Paleomagnetic Fieldyarrces E. T. Detection Charles K. Paull and Willam P. Dillon (Eds.) Channell, Dennis V. Kent, William Lowrie, and Joseph 125 Space Weather Paul Song, Howard J. Singer, and G. Meert (Eds.) George L. 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Bass Jan Matas Jeannot Trampert Editors §8 American Geophysical Union Washington, DC Published under the aegis of the AGU Books Board Jean-Louis Bougeret, Chair, Gray E. Bebout, Cari T. Friedrichs, James L. Horwitz, Lisa A. Levin, W. Berry Lyons, Kenneth R. Minschwaner, Andy Nyblade, Darrell Strobel, and William R. Young, members. Library of Congress Cataloging-in-Publication Data Earth's deep mantle : structure, composition, and evolution / Robert D. van der Hilst... [et al.], editors. p. cm. - (Geophysical monograph, ISSN 0065-8448 ; 160) Includes bibliographical references. ISBN-13: 978-0-87590-425-2 ISBN-10: 0-87590-425-4 1. Earth—Mantle—Research. 2. Thermochemistry—Research. 3. Seismology—Research. 4. Heat—Convection, Natural—Research. I. Hilst, Robert Dirk van der, 1961- II. Series. QE509.4.E27 2005 551.1'16-dc22 2005028262 ISBN-10:0-87590-425-4 (hardcover) ISBN-13: 978-0-87590-425-2 (hardcover) ISSN 0065-8448 Back Cover: Images modified after a cartoon published in F. Albarede and R. D. van der Hilst, EOS, Transactions, American Geophysical Union, 45, 535-539, 1999. Copyright 2005 by the American Geophysical Union 2000 Florida Avenue, N.W. Washington, DC 20009 Figures, tables, and short excerpts may be reprinted in scientific books and journals if the source is properly cited. Authorization to photocopy items for internal or personal use, or for the internal or personal use of specific clients, is grant­ ed by the American Geophyscial Union for libraries and other users registered with the Copyright Clearance Center (CCC) Transactional Reporting Service, provided that the base fee of $1.50 per copy plus $0.35 per page is paid directly to CCC, 222 Rosewood Dr., Danvers, MA 01923. 0065-8448/05/$01.50+0.35. This consent does not extend to other kinds of copying, such as copying for creating new collective works or for resale. The reproduction of multiple copies and the use of full articles or the use of extracts, including figures and tables, for commercial purposes requires permission from the American Geophysical Union. Printed in the United States of America. CONTENTS Preface Robert D. van der Hilst, Jay D. Bass, Jan Matas, and Jean not Trampert vii Earth's Deep Mantle: Structure, Composition, and Evolution—An Introduction Robert D. van der Hilst, Jay D. Bass, Jan Matas, and Jeannot Trampert 1 Noble Gas Models of Mantle Structure and Reservoir Mass Transfer Darrell Harrison and Chris J. Ballentine 9 The Survival of Mantle Geochemical Heterogeneities Francis Albarede 27 Towards a Quantitative Interpretation of Global Seismic Tomography Jeannot Trampert and Robert D. van der Hilst 47 Seismic Modeling Constraints on the South African Super Plume Don V. Helmberger and Sidao Ni 63 Numerical and Laboratory Studies of Mantle Convection: Philosophy, Accomplishments, and Thermochemical Structure and Evolution Paul J. Tackley, Shunxing Xie, Takashi Nakagawa, and John W. Hern I und 83 Heterogeneous Lowermost Mantle: Compositional Constraints and Seismological Observables H. Samuel, C.G. Farnetani, and D, Andrault 101 Numerical Study of the Origin and Stability of Chemically Distinct Reservoirs Deep in Earth's Mantle P. van Thienen, J. van Summeren, R. D. van der Hilst, A. P. van den Berg, and N. ). Vlaar 117 Self-Gravity, Self-Consistency, and Self-Organization in Geodynamics and Geochemistry Don L Anderson 137 The Role of Theoretical Mineral Physics in Modeling the Earth's Interior Mark S. T. Bukowinski and Sofia Akber-Knutson 165 The Uncertain Major Element Bulk Composition of Earth's Mantle Q. Williams and E. Knittle 187 Highly Siderophile Elements: Constraints on Earth Accretion and Early Differentiation Kevin Righter 201 Mantle Oxidation State and Oxygen Fugacity: Constraints on Mantle Chemistry, Structure, and Dynamics Catherine A. McCammon 219 Thermochemical State of the Lower Mantle: New Insights From Mineral Physics James Badro, Guillaume Fiquet, and Frangois Guyot 241 Stability of MgSiO Perovskite in the Lower Mantle s Sang-Heon Shim 261 Synthetic Tomographic Images of Slabs From Mineral Physics Y. Ricard, E. Mattern, and J. Matas 283 Compositional Dependence of the Elastic Wave Velocities of Mantle Minerals: Implications for Seismic Properties of Mantle Rocks Sergio Speziale, Fuming Jiang, and Thomas S. Duffy 301 Recent Progress in Experimental Mineral Physics: Phase Relations of Hydrous Systems and the Role of Water in Slab Dynamics Fiji Ohtani 321 PREFACE Understanding the inner workings of our planet and its re­ In the last decade geoscientists have begun to respond to lationship to processes closer to the surface remains a fron­ such questions with more quantitative integrations of ob­ tier in the geosciences. Manmade probes barely reach -10 km servations and constraints from different lines of inquiry— depth and volcanism rarely brings up samples from deeper an approach that is changing our views on the structure, than -150 km. These distances are dwarfed by Earth's di­ composition, and evolution of Earth's deep mantle. Studies mensions, and our knowledge of the deeper realms is pieced within and across traditional disciplinary boundaries have together from a range of surface observables, meteorite and inspired many special sessions at annual meetings of the solar atmosphere analyses, experimental and theoretical main professional societies as well as many topical work­ mineral physics and rock mechanics, and computer simula­ shops. The Union Session on Geophysical and Geochemi- tions. A major unresolved issue concerns the nature of man­ cal Models for the Structure and Composition of Earth's tle convection, the slow (1-5 cm/year) solid-state stirring that Mantle at the joint EGS-EUG-AGU meeting (Nice, France, helps cool the planet by transporting radiogenic and primor­ April 7-11, 2003) and a workshop on Mantle Composition, dial heat from Earth's interior to its surface. Structure, and Phase Transitions (Frejus, France, April Expanding our knowledge here requires input from a 2-6, 2003) brought together seismologists, geodynami­ range of geoscience disciplines, including seismology, cists, mineral physicists, and geochemists to discuss new geodynamics, mineral physics, and mantle petrology and observations and changing views on Earth's mantle. The chemistry. At the same time, with better data sets and faster current volume derives from these meetings, along with computers, seismologists are producing more detailed mod­ other invited contributions. Most contributors have com­ els of 3-D variations in the propagation speed of different bined a review component with a presentation of new de­ types of seismic waves; new instrumentation and access to velopments in the respective disciplinary fields. We hope, state-of-the-art community facilities such as synchrotrons therefore, that readers will consider this volume both as an have enabled mineral physicists to measure rock and min­ overview of achievements made during the recent past and eral properties at ever larger pressures and temperatures; as a source of inspiration for new investigations. new generations of mass spectrometers are allowing geo- We thank the coorganizers of the two workshops that in­ chemists to quantify minute concentrations of diagnostic spired the production of this volume and Centre Nationale isotopes; and with supercomputers geodynamicists are de la Recherche Scientific (CNRS), the Institut Nationale making increasingly realistic simulations of dynamic pro­ des Sciences de TUnivers (INSU), the French Ministry of cesses at conditions not attainable in analogue experiments. Research and Technology, the U.S. National Science Foun­ But many questions persist. What causes the lateral varia­ dation (NSF), the Consortium for Materials Properties Re­ tions in seismic wavespeed that we can image with mount­ search in Earth Sciences (COMPRES), and the Ecole Nor- ing accuracy? How reliable are extrapolations of laboratory male Superieure de Lyon, France, for their financial support measurements on simple materials over many orders of of the workshop in Frejus, which enabled the broad par­ magnitude of pressure and temperature? What are the ef­ ticipation of students and post-docs and of scientists from fects of volatiles and minor elements on rock and mineral Japan and the USA. We thank the authors for their contribu­ properties under extreme physical conditions? Can ab initio tions and also the more than 40 reviewers for their invalu­ calculations help us understand material behavior in condi­ able help with evaluating and improving the manuscripts. tions that are still out of reach of laboratory measurement? What was the early evolution of our planet and to what ex­ Robert D. van der Hilst tent does it still influence present-day dynamics? And how Jay D. Bass well do we know such first-order issues as the average bulk Jan Matas composition of Earth? Jeannot Trampert Earth's Deep Mantle: Structure, Composition, and Evolution Geophysical Monograph Series Copyright 2005 by the American Geophysical Union 10.1029/160GM01 vii Earth's Deep Mantle: Structure, Composition, and Evolution—An Introduction Robert D. van der Hilst1, Jay D. Bass2, Jan Matas3, and Jeannot Trampert4 Here we present the general scope of the monograph and introduce the different chapters. The chapters are organized by theme instead of scientific discipline, and most combine a review of past accomplishments with discussions of results from current research. Collectively, they document the tremendous progress in under­ standing achieved over the past decade or so, but they also demonstrate that many controversies and challenges remain for future collaborative studies of Earth's deep interior. GENERAL SCOPE OF MONOGRAPH cally inferred heterogeneity, reproducing essential aspects of the geochemical record of selected chemical elements, In the past decade, spectacular advances in geochemis­ and satisfying geophysical observables such as the geoid try, theoretical and experimental mineral physics, seismic and long wavelength gravity, dynamic topography, and imaging, and computational geodynamics have produced heat flow. new views on the inner workings of our planet. In con­ A challenge central to all these studies has been to under­ trast to previous single-disciplinary approaches, in the mid- stand the nature, scale, and geological history of mantle 1990s many investigators started to make more rigorous convection—the slow (1-5 cm/yr) solid-state stirring that efforts to include constraints from other disciplines into helps cool the planet by transporting radiogenic and primor­ their models or interpretations. Experimental and theoreti­ dial heat from Earth's interior to its surface. Evidence for a cal mineral physics research has been yielding increasingly chemically heterogeneous mantle, with multiple long-lived accurate constraints on elastic parameters at pressure and "reservoirs", has long competed with views that convection temperature conditions typical for Earth's mantle. With this driven by pure thermal buoyancy has effectively homog­ growing—but still vastly incomplete—data base, seismolo­ enized the mantle. The ensuing debate revolved around gists have begun to realize that not all inferred wavespeed end-member models of either convective layering at 660 variations can have a thermal origin, and evidence for lateral km depth (with layers above and below this depth having variations in the composition of Earth's mantle has been different—but uniform—compositions), or iso-chemical mounting. In a parallel effort, geodynamicists have been whole mantle overturn. But none of these canonical models using the input from mineral physics research and exploiting satisfies more than what can now be considered a fairly nar­ increased computational power to simulate thermo-chemical row subset of available constraints. Over the past decade, convection, with important measures of their success being however, several key discoveries and the creative interplay the ability to match the structure and spectra of tomographi- between various disciplines have begun to paint a picture of the lower mantle that is far more interesting—but not ^assachusetts Institute of Technology, Cambridge, Massachu­ less enigmatic—than the one or two relatively bland shells setts. of near-constant physical, chemical, and thermo-dynami­ 2University of Illinois, Urbana-Champaign, Urbana, Illinois. cal properties considered in the classical models. Some 3Ecole Normale Superieure de Lyon, Lyon, France. scientists have been trying to explain the richness of mul- 4Utrecht University, Utrecht, The Netherlands. tidisciplinary constraints with hybrid models that combine Earth's Deep Mantle: Structure, Composition, and Evolution the successful ingredients of the canonical models; others Geophysical Monograph Series 160 have been questioning the fundamental assumptions and the Copyright 2005 by the American Geophysical Union 10.1029/160GM02 perceived paradoxes to produce interesting, albeit as yet dif- 1 2 INTRODUCTION: STRUCTURE, COMPOSITION, AND EVOLUTION OF EARTH'S DEEP MANTLE ficult to validate, conceptual models of the thermo-chemical to major element composition is reasonable, what—if any­ evolution of the Earth. thing—does it tell us about the spatial distribution of the In the late 1990s, new types of crosscutting research began trace elements and noble gases used in geochemical inves­ to provide important new insight. Joint interpretations of tigations of mantle structure? For example, if the deepest seismic images of shear- and bulk properties and then avail­ mantle contains compositionally distinct domains, do they able elasticity parameters for relevant mantle compositions represent refractory repositories or are they depleted in and P-T conditions produced tentative indicators for lateral heat-producing elements? Questions such as these have key variations in (major element) composition in the deep mantle implications for our understanding of the formation origin (e.g., Su and Dziewonski, 1997; Kennett et al, 1998; van der of the structures and their evolution over geological time, the Hilst andKdrason, 1999). This emerging evidence inspired early evolution of the core-mantle system, and the present- several groups (e.g., Tackley, 1998; Kellogg et al, 1999; day thermal state of our planet. Becker et al, 1999; Davaille, 1999) to speculate on the existence of compositionally distinct domains in the deep OVERVIEW OF MONOGRAPH mantle as an explanation of some of the hitherto conflicting observations. These exciting developments followed earlier For this monograph we have solicited contributions that suggestions of large-scale compositional heterogeneity that relate to the general scope described above. Other important were based on seismic wave speeds and the high-pressure developments in the quest to understand Earth's deep mantle densities of different rock lithologies, but with much less are not covered in detail. For instance, the lowermost mantle, extensive elasticity and phase equilibrium data for miner­ including the so-called D" region of enhanced structural als (e.g., Bass and Anderson, 1984; Anderson, 1989). In and, probably, compositional heterogeneity, is not a primary fact, the model described by Anderson (this volume) shares target of the chapters of this volume; the progress achieved with the proposition of Kellogg et al the premise of a three- in the 1990s is reviewed elsewhere (e.g., Gurnis et al, 1998; layer mantle and a compositionally distinct bottom third of Garnero, 2000; Karato et al, 2000). The recent discovery the mantle. The early seismological evidence for composi­ of a post-perovskite phase transition is covered briefly, but tional heterogeneity was far from uncontroversial, however, an overview of this rapidly evolving topic would perhaps be but through detailed analysis by, for instance, Ishii and premature. The emphasis on the deep mantle also means that Tromp (1999), Masters et al (2000), Saltzer et al (2001, the numerous recent studies of the upper mantle and transi­ 2004), Karato and Karki (2001), Anatolik et al (2003), and tion zone structures, including the related pressure-induced Trampert et al (2004), the notion has become inescapable discontinuities, and the investigation of mantle "plumes" are that much of deep mantle heterogeneity does not have a not focused on here. purely thermal origin. The first two chapters of this volume concern old and new Despite these developments, there are many uncertain­ constraints from geochemistry. In the past decade, many ties, and even first-order aspects of the nature, volume, new proposals have been made and fundamental assump­ and long-term evolution of deep mantle heterogeneity have tions questioned. For example, the difference in mid-ocean remained enigmatic. The early thermo-chemical convec­ island basalt (MORB) and ocean island basalt (OIB) trace tion models each have their problems (see overviews by, for element and noble gas distributions, which has inspired much instance, Tackley, this volume), and the interpretation of the discussion about geochemical reservoirs, can perhaps be tomographic images is neither straightforward nor unique. explained by differences in sampling from a (statistically) But these are perhaps the least of all problems. Constraints similar source (e.g., Anderson, 2001; Kellogg et al, 2002; Ito as fundamental as Earth's average bulk composition remain and Mahoney, 2005). This issue, however, is not addressed controversial; the experimental and theoretical constraints in detail here. Harrison and Ballentine (this volume) review on the temperature and pressure dependencies of elasticity noble gas geochemistry, the so-called helium/heat and argon mostly involve simple compositions and ignore effects of "paradoxes", and the development of Earth models based on important minor elements (such as aluminum and calcium), noble gas systems. They show that models based on selected the oxidation state of Fe (e.g., the amount of Fe3+ in ferro- systems can be misleading and that a wide range of noble magnesian-silicates), and mineralogy; and extrapolations gases must be considered when building robust mantle mod­ over large temperature and pressure ranges remain a major els. The changing views on the helium system are reviewed, concern. Moreover, with few exceptions most scaling from with emphasis on the uncertainty in absolute concentrations wavespeed to temperature, composition, and mass density and in the level of compatibility of parent and daughter ele­ assume predominance of a thermal dependence, which may ments. For the latest development on the latter topic we refer be incorrect. Even if the transformation from wavespeed the reader to Parman et al (2005). Harrison and Ballentine VAN DER HILST ET AL. 3 discuss the pitfalls of comparing systems with very different Mantle convection experiments, both analog and numerical, characteristic time scales and suggest that a "zero paradox" play an essential role in understanding the dynamics, evolu­ model can be constructed if (i) one relaxes the assumption tion, and structure of Earth's mantle. In particular, quantita­ that the mantle is in steady state and (ii) the noble gas con­ tive geodynamics provides a framework for the integration of centration (e.g., 3He) in the convecting mantle is higher—by results from different disciplines (e.g., seismology, mineral a factor of 3.5—than hitherto assumed. Albarede (this vol­ physics, geochemistry, and geodesy), and owing to vastly ume) also uses characteristic time scales—here of residence increased computation power, the field of quantitative geo- times of incompatible lithophile elements—to question the dynamical modeling of mantle convection has taken flight in basic assumption of steady state and argues that most of the the past 15 years. The mounting evidence for compositional noble gas and heat flux paradoxes disappear if one allows heterogeneity implies that traditional views of mantle pro­ that a significant fraction (~50%) of the "missing" heat is cesses based on thermal convection may be in error, however, still trapped in Earth's deep interior, perhaps in small-scale and strongly suggests the need for explicit thermo-chemi­ heterogeneity scattered throughout Earth's mantle. cal convection modeling. The capabilities, remaining chal­ The type of geochemical analysis presented here by lenges, and future of numerical modeling of thermo-chemical Harrison andBallentine and Albarede can provide constraints convection are reviewed by Tackley et al (this volume). In on isotope and trace element concentrations and on character­ addition to past successes of numerical modeling of deep istic time scales of mixing processes, but it does not constrain mantle processes, Tackley et al also discuss the challenge to the location of anomalous materials. Seismology provides deal with uncertainty. Fundamental uncertainties in the key the most direct probe for constraining deep mantle structure physical parameters can be so large that conflicting convec­ (through the mapping of 3-D variation in (an)elastic wave tion behaviors seem possible. It is therefore of key importance propagation) and on the spatial distribution of major elements that predictions from numerical models are tested against (through their influence on the elastic constants and on mass independent data (e.g., seismic models, geochemical records, density). Trampert and van der Hilst (this volume) review per­ geodynamo history). Another source of uncertainty concerns tinent results of seismic tomography, with emphasis on lateral the model simplifications which reflect imperfect knowledge deviations from radially stratified (1-D) reference Earth mod­ of many key physical processes or which are necessary to els. Because of the non-uniqueness of joint interpretations of render problems tractable. This includes processes that operate tomographic images along with mineral physics data Trampert on small scales but which may be key controls for the large- et al (2004) performed a statistical analysis of a wide range scale dynamical behavior. Examples include slab processes of possible solutions. This approach confirms and quantifies (such as hydration), melting, and plate formation. Others are earlier indications that the propagation behavior of seismic too complicated or still too poorly understood, for instance, waves is different from what can be expected from a thermal continent formation and evolution and the effect of volatiles origin and shows that the emerging evidence for lateral varia­ and grain size on transport properties. tions in bulk composition is robust. The analysis of body wave Inspired by Kellogg et al. (1999), Samuel et al. and van travel times, surface wave phase velocities, and spectra of Thienen et al. investigate mantle dynamics in the presence of Earth's free oscillation modes suggests that lateral variations compositionally distinct domains in the deep mantle. Samuel in temperature, iron, and silicon (through perovskite/mag- et al. (this volume) assume that such a deep structure exists nesiowiistite partitioning) occur globally at a wide range of and explore the range of compositions that are consistent spatial scales and throughout the mantle, but appear stronger with the emerging evidence for compositional heterogeneity in the bottom 1000 km or so. In a detailed regional study based from seismic imaging. In agreement with earlier findings on a careful analysis of broad-band waveforms, Helmberger (e.g., Kellogg et al, 1999; Saltzer et al, 2004; Trampert et and Ni (this volume) describe rather dramatic lateral varia­ al, 2004) they conclude that deep mantle lateral variations in tions in shear wave speed (relative to PREM) in the deep iron and silicon must be invoked to explain the seismologi­ mantle beneath southern Africa. Interestingly, the variations cal observations. Realizing that the present-day existence in P-wave speed are not nearly as large. Combined with the of such domains begs the question as to their origin—see shape of the deep structure and its remarkably sharp bound­ also Righter (this volume)—van Thienen et al. (this volume) aries, this observation strongly argues for a thermo-chemical explore possibilities for the early origin and evolution of origin. Detailed studies of this kind are restricted to regions such domains. Their analysis shows that the formation of of sufficiently high sampling density, and ongoing efforts to deep, enriched, and gravitationally stable mantle domains install arrays of seismograph stations in new locations may by convective instabilities and resurfacing before the onset soon lead to more discoveries of thermo-chemical structures of modern-style plate tectonics is dynamically plausible and in the deep mantle. consistent with the geochemical record.

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