PDF
Abstract
Water is the most important component in Earth system evolution. Here, I review the current understanding of the fate of water in the mantle dynamics system based on high-pressure and temperature experiments, geochemical analyses, seismological and geomagnetic observations, and numerical modeling of both regional- and global-scale mantle dynamics. In addition, as a numerical example, I show that the water solubility of the deep mantle is strongly sensitive to global-scale water circulation in the mantle. In a numerical example shown here, water solubility maps as functions of temperature and pressure are extremely important for revealing the hydrous structures in both the mantle transition zone and the deep mantle. Particularly, the water solubility limit of lower mantle minerals should be not so large as ~100 ppm for the mantle transition zone to get the largest hydrous reservoir in the global-scale mantle dynamics system. This result is consistent with the current view of mantle water circulation provided by mineral physics, which is also found as a hydrous basaltic crust in the deep mantle and the water enhancement of the mantle transition zone simultaneously. In this paper, I also discuss some unresolved issues associated with mantle water circulation, its influence on the onset and stability of plate motion, and the requirements for developing Earth system evolution in mantle dynamics simulations.
Keywords
numerical modeling
/
mantle convection
/
water cycle
/
water solubility limit
Cite this article
Download citation ▾
Takashi Nakagawa.
On the numerical modeling of the deep mantle water cycle in global-scale mantle dynamics: The effects of the water solubility limit of lower mantle minerals.
Journal of Earth Science, 2017, 28(4): 563-577 DOI:10.1007/s12583-017-0755-3
| [1] |
Abe Y., Matsui T. Evolution of an Impact-Generated H2O-CO2 Atmosphere and Formation of a Hot Proto-Ocean on Earth. Journal of the Atmospheric Sciences, 1988, 45(21): 3081-3101.
|
| [2] |
Arcay D., Tric E., Doin M. P. Numerical Simulations of Subduction Zones: Effect of Slab Dehydration on the Mantle Wedge Dynamics. Physics of the Earth and Planetary Interiors, 2005, 149(1/2): 133-153.
|
| [3] |
Arthur M. A., Cole D. R. Unconventional Hydrocarbon Resources: Prospects and Problems. Elements, 2014, 10(4): 257-264.
|
| [4] |
Aubaud C., Hirschmann M. M., Withers A. C., . Hydrogen Partitioning between Melt, Clinopyroxene, and Garnet at 3 GPa in a Hydrous MORB with 6 wt.% H2O. Contributions to Mineralogy and Petrology, 2008, 156(5): 607-625.
|
| [5] |
Bercovici D., Karato S.-I. Whole-Mantle Convection and the Transition- Zone Water Filter. Nature, 2003, 425(6953): 39-44.
|
| [6] |
Bercovici D., Ricard Y. Plate Tectonics, Damage and Inheritance. Nature, 2014, 508(7497): 513-516.
|
| [7] |
Bercovici D., Ricard Y. Grain-Damage Hysteresis and Plate Tectonic States. Physics of the Earth and Planetary Interiors, 2016, 253: 31-47.
|
| [8] |
Bolfan-Casanova N. Water in the Earth’s Mantle. Mineralogical Magazine, 2005, 69(3): 229-258.
|
| [9] |
Christensen U. R., Hofmann A. W. Segregation of Subducted Oceanic Crust in the Convecting Mantle. Journal of Geophysical Research: Solid Earth, 1994, 99(B10): 19867-19884.
|
| [10] |
Coltice N., Rolf T., Tackley P. J., . Dynamic Causes of the Relation between Area and Age of the Ocean Floor. Science, 2012, 336(6079): 335-338.
|
| [11] |
Condie K. C. A Planet in Transition: The Onset of Plate Tectonics on Earth between 3 and 2 Ga?. Geoscience Frontiers, 2016.
|
| [12] |
Crameri F., Tackley P. J., Meilick I., . A Free Plate Surface and Weak Oceanic Crust Produce Single-Sided Subduction on Earth. Geophysical Research Letters, 2012, 39 3 L03306
|
| [13] |
Crowley J. W., Gérault M., O’Connell R. J. On the Relative Influence of Heat and Water Transport on Planetary Dynamics. Earth and Planetary Science Letters, 2011, 310(3/4): 380-388.
|
| [14] |
Dasgupta R., Hirschmann M. M. The Deep Carbon Cycle and Melting in Earth’s Interior. Earth and Planetary Science Letters, 2010, 298(1/2): 1-13.
|
| [15] |
Smet J. H., van den Berg A. P., Vlaar N. J. Stability and Growth of Continental Shields in Mantle Convection Models Including Recurrent Melt Production. Tectonophysics, 1998, 296(1/2): 15-29.
|
| [16] |
Fei H. Z., Wiedenbeck M., Yamazaki D., . Small Effect of Water on Upper-Mantle Rheology Based on Silicon Self-Diffusion Coefficients. Nature, 2013, 498(7453): 213-215.
|
| [17] |
Foley B. J., Becker T. W. Generation of Plate-Like Behavior and Mantle Heterogeneity from a Spherical, Viscoplastic Convection Model. Geochemistry, Geophysics, Geosystems, 2009, 10 8 Q08001
|
| [18] |
Foley B. J., Driscoll P. E. Whole Planet Coupling between Climate, Mantle, and Core: Implications for Rocky Planet Evolution. Geochemistry, Geophysics, Geosystems, 2016, 17(5): 1885-1914.
|
| [19] |
Franck S., Kossacki K. J. v., Bloh W., . Long-Term Evolution of the Global Carbon Cycle: Historic Minimum of Global Surface Temperature at Present. Tellus B, 2002, 54(4): 325-343.
|
| [20] |
Fujita K., Ogawa M. A Preliminary Numerical Study on Water- Circulation in Convecting Mantle with Magmatism and Tectonic Plates. Physics of the Earth and Planetary Interiors, 2013, 216: 1-11.
|
| [21] |
Gaidos E., Deschenes B., Dundon L., . Beyond the Principle of Plentitude: A Review of Terrestrial Planet Habitability. Astrobiology, 2005, 5(2): 100-126.
|
| [22] |
Genda H. Origin of Earth’s Oceans: An Assessment of the Total Amount, History and Supply of Water. Geochemical Journal, 2016, 50(1): 27-42.
|
| [23] |
Gerya T. V., Connolly J. A. D., Yuen D. A. Why is Terrestrial Subduction One-Sided?. Geology, 2008, 36 1 43
|
| [24] |
Gerya T. V., Stern R. J., Baes M., . Plate Tectonics on the Earth Triggered by Plume-Induced Subduction Initiation. Nature, 2015, 527(7577): 221-225.
|
| [25] |
Gerya T. Origin and Models of Oceanic Transform Faults. Tectonophysics, 2012, 522/523: 34-54.
|
| [26] |
Gillmann C., Golabek G. J., Tackley P. J. Effect of a Single Large Impact on the Coupled Atmosphere-Interior Evolution of Venus. Icarus, 2016, 268: 295-312.
|
| [27] |
Gillmann C., Tackley P. Atmosphere/Mantle Coupling and Feedbacks on Venus. Journal of Geophysical Research: Planets, 2014, 119(6): 1189-1217.
|
| [28] |
Hamano K., Abe Y., Genda H. Emergence of Two Types of Terrestrial Planet on Solidification of Magma Ocean. Nature, 2013, 497(7451): 607-610.
|
| [29] |
Hernlund J. W., Tackley P. J. Modeling Mantle Convection in the Spherical Annulus. Physics of the Earth and Planetary Interiors, 2008, 171(1/2/3/4): 48-54.
|
| [30] |
Hirschmann M., Kohlstedt D. Water in Earth’s Mantle. Physics Today, 2012, 65(3): 40-45.
|
| [31] |
Hopkins M., Harrison T. M., Manning C. E. Low Heat Flow Inferred from >4 Gyr Zircons Suggests Hadean Plate Boundary Interactions. Nature, 2008, 456(7221): 493-496.
|
| [32] |
Houser C. Global Seismic Data Reveal Little Water in the Mantle Transition Zone. Earth and Planetary Science Letters, 2016, 448: 94-101.
|
| [33] |
Inoue T., Tanimoto Y., Irifune T., . Thermal Expansion of Wadsleyite, Ringwoodite, Hydrous Wadsleyite and Hydrous Ringwoodite. Physics of the Earth and Planetary Interiors, 2004, 143/144: 279-290.
|
| [34] |
Inoue T., Weidner D. J., Northrup P. A., . Elastic Properties of Hydrous Ringwoodite (γ-Phase) in Mg2SiO4. Earth and Planetary Science Letters, 1998, 160(1/2): 107-113.
|
| [35] |
Iwamori H. Phase Relations of Peridotites under H2O-Saturated Conditions and Ability of Subducting Plates for Transportation of H2O. Earth and Planetary Science Letters, 2004, 227(1/2): 57-71.
|
| [36] |
Iwamori H. Transportation of H2O beneath the Japan Arcs and Its Implications for Global Water Circulation. Chemical Geology, 2007, 239(3/4): 182-198.
|
| [37] |
Iwamori H., Nakakuki T. Karato S.-I. Fluid Processes in Subduction Zones and Water Transport to the Deep Mantle. Physics and Chemistry of the Deep Mantle, 2013, 372-391.
|
| [38] |
Jacobsen S. D., Smyth J. R. Jacobsen S. D., van der Lee S. Effect of Water on the Sound Velocities of Ringwoodite in the Transition Zone. Earth’s Deep Water Cycle, 2006, Washington, D. C.: Geophys. Monogr. Ser. 168. AGU, 131-145
|
| [39] |
Karato S.-I. Water Distribution Across the Mantle Transition Zone and Its Implications for Global Material Circulation. Earth and Planetary Science Letters, 2011, 301(3/4): 413-423.
|
| [40] |
Karato S.-I., Wu P. Rheology of the Upper Mantle: A Synthesis. Science, 1993, 260(5109): 771-778.
|
| [41] |
Katz R. F., Spiegelman M., Langmuir C. H. A New Parameterization of Hydrous Mantle Melting. Geochemistry, Geophysics, Geosystems, 2003, 4 9 1073
|
| [42] |
Kawamoto T. Hydrous Phases and Water Transport in the Subducting Slab. Reviews in Mineralogy and Geochemistry, 2006, 62(1): 273-289.
|
| [43] |
Kelemen P. B., Behn M. D. Formation of Lower Continental Crust by Relamination of Buoyant Arc Lavas and Plutons. Nature Geoscience, 2016, 9(3): 197-205.
|
| [44] |
Keller T., Tackley P. J. Towards Self-Consistent Modeling of the Martian Dichotomy: The Influence of One-Ridge Convection on Crustal Thickness Distribution. Icarus, 2009, 202(2): 429-443.
|
| [45] |
Kohlstedt D. L., Evans B., Mackwell S. J. Strength of the Lithosphere: Constraints Imposed by Laboratory Experiments. Journal of Geophysical Research: Solid Earth, 1995, 100: 17587-17602.
|
| [46] |
Kohlstedt D. L., Keppler H., Rubie D. C. Solubility of Water in the α, β and γ Phases of (Mg, Fe)2SiO4. Contributions to Mineralogy and Petrology, 1996, 123(4): 345-357.
|
| [47] |
Kohn S. C., Grant K. J. The Partitioning of Water between Nominally Anhydrous Minerals and Silicate Melts. Reviews in Mineralogy and Geochemistry, 2006, 62(1): 231-241.
|
| [48] |
Journal of Geophysical Research, 2004, 109 B3
|
| [49] |
Korenaga J. Thermal Evolution with a Hydrating Mantle and the Initiation of Plate Tectonics in the Early Earth. Journal of Geophysical Research, 2011, 116 B12 B12403
|
| [50] |
Korenaga J., Karato S.-I. A New Analysis of Experimental Data on Olivine Rheology. Journal of Geophysical Research, 2008, 113 B2 B02403
|
| [51] |
Li Z. X. A., Lee C. T. A., Peslier A. H., . Water Contents in Mantle Xenoliths from the Colorado Plateau and Vicinity: Implications for the Mantle Rheology and Hydration-Induced Thinning of Continental Lithosphere. Journal of Geophysical Research, 2008, 113 B9 B09210
|
| [52] |
Mao Z., Jacobsen S. D., Jiang F. M., . Single-Crystal Elasticity of Wadsleyites, B-Mg2SiO4, Containing 0.37–1.66 wt.% H2O. Earth and Planetary Science Letters, 2008, 268(3/4): 540-549.
|
| [53] |
Maruyama S., Okamoto K. Water Transportation from the Subducting Slab into the Mantle Transition Zone. Gondwana Research, 2007, 11(1/2): 148-165.
|
| [54] |
Mashino I., Murakami M., Ohtani E., . Sound Velocities of ?-AlOOH up to Core-Mantle Boundary Pressures with Implications for the Seismic Anomalies in the Deep Mantle. Journal of Geophysical Research: Solid Earth, 2016, 121(2): 595-609.
|
| [55] |
Matsuno T., Suetsugu D., Baba K., . Mantle Transition Zone beneath a Normal Seafloor in the Northwestern Pacific: Electrical Conductivity, Seismic Thickness, and Water Content. Earth and Planetary Science Letters, 2017, 462: 189-198.
|
| [56] |
McGovern P. J., Schubert G. Thermal Evolution of the Earth: Effects of Volatile Exchange between Atmosphere and Interior. Earth and Planetary Science Letters, 1989, 96(1/2): 27-37.
|
| [57] |
Mei S. H., Kohlstedt D. L. Influence of Water on Plastic Deformation of Olivine Aggregates: 1. Diffusion Creep Regime. Journal of Geophysical Research: Solid Earth, 2000, 105(B9): 21457-21469.
|
| [58] |
Moresi L., Solomatov V. Mantle Convection with a Brittle Lithosphere: Thoughts on the Global Tectonic Styles of the Earth and Venus. Geophysical Journal International, 1998, 133(3): 669-682.
|
| [59] |
Murakami M., Hirose K., Yurimoto Y., . Water in Earth’s Lower Mantle. Science, 2002, 295(5561): 1885-1887.
|
| [60] |
Nakagawa T., Nakakuki T., Iwamori H. Water Circulation and Global Mantle Dynamics: Insight from Numerical Modeling. Geochemistry, Geophysics, Geosystems, 2015, 16(5): 1449-1464.
|
| [61] |
Nakagawa T., Spiegelman M. W. Global-Scale Water Circulation in the Earth’s Mantle: Implications for the Mantle Water Budget in the Early Earth. Earth and Planetary Science Letters, 2017, 464: 189-199.
|
| [62] |
Nakagawa T., Tackley P. J. Effects of Low-Viscosity Post-Perovskite on Thermo-Chemical Mantle Convection in a 3-D Spherical Shell. Geophysical Research Letters, 2011, 38 4 L04309
|
| [63] |
Nakagawa T., Tackley P. J. Influence of Plate Tectonic Mode on the Coupled Thermochemical Evolution of Earth’s Mantle and Core. Geochemistry, Geophysics, Geosystems, 2015, 16(10): 3400-3413.
|
| [64] |
Nakagawa T., Tackley P. J., Deschamps F., . The Influence of MORB and Harzburgite Composition on Thermo-Chemical Mantle Convection in a 3-D Spherical Shell with Self-Consistently Calculated Mineral Physics. Earth and Planetary Science Letters, 2010, 296(3/4): 403-412.
|
| [65] |
Nakajima J., Hasegawa A. Tomographic Evidence for the Mantle Upwelling beneath Southwestern Japan and Its Implications for Arc Magmatism. Earth and Planetary Science Letters, 2007, 254(1/2): 90-105.
|
| [66] |
Nakajima S., Hayashi Y. Y., Abe Y. A Study on the “Runaway Greenhouse Effect” with a One-Dimensional Radiative-Convective Equilibrium Model. Journal of the Atmospheric Sciences, 1992, 49(23): 2256-2266.
|
| [67] |
Nakajima Y., Imada S., Hirose K., . Carbon-Depleted Outer Core Revealed by Sound Velocity Measurements of Liquid Iron-Carbon Alloy. Nature Communications, 2015, 6 8942
|
| [68] |
Nakao A., Iwamori H., Nakakuki T. Effects of Water Transportation on Subduction Dynamics: Roles of Viscosity and Density Reduction. Earth and Planetary Science Letters, 2016, 454: 178-191.
|
| [69] |
Nisbet E. G., Sleep N. H. The Habitat and Nature of Early Life. Nature, 2001, 409(6823): 1083-1091.
|
| [70] |
Nishi M., Irifune T., Tsuchiya J., . Stability of Hydrous Silicate at High Pressures and Water Transport to the Deep Lower Mantle. Nature Geoscience, 2014, 7(3): 224-227.
|
| [71] |
O’Neill C., Lenardic A., Moresi L., . Episodic Precambrian Subduction. Earth and Planetary Science Letters, 2007, 262(3/4): 552-562.
|
| [72] |
Ohira I., Ohtani E., Sakai T., . Stability of a Hydrous Δ-Phase, AlOOH-MgSiO2(OH)2, and a Mechanism for Water Transport into the Base of Lower Mantle. Earth and Planetary Science Letters, 2014, 401: 12-17.
|
| [73] |
Ohtani E. Water in the Mantle. Elements, 2005, 1(1): 25-30.
|
| [74] |
Ohtani E., Amaike Y., Kamada S., . Stability of Hydrous Phase H MgSiO4H2 under Lower Mantle Conditions. Geophysical Research Letters, 2014, 41(23): 8283-8287.
|
| [75] |
Ohtani E., Maeda M. Density of Basaltic Melt at High Pressure and Stability of the Melt at the Base of the Lower Mantle. Earth and Planetary Science Letters, 2001, 193(1/2): 69-75.
|
| [76] |
Panero W. R., Pigott J. S., Reaman D. M., . Dry (Mg, Fe)SiO3 Perovskite in the Earth’s Lower Mantle. Journal of Geophysical Research: Solid Earth, 2015, 120(2): 894-908.
|
| [77] |
Pearson D. G., Brenker F. E., Nestola F., . Hydrous Mantle Transition Zone Indicated by Ringwoodite Included within Diamond. Nature, 2014, 507(7491): 221-224.
|
| [78] |
Poirier J. P. Light Elements in the Earth’s Outer Core: A Critical Review. Physics of the Earth and Planetary Interiors, 1994, 85(3/4): 319-337.
|
| [79] |
Rey P. F., Coltice N., Flament N. Spreading Continents Kick-Started Plate Tectonics. Nature, 2014, 513(7518): 405-408.
|
| [80] |
Richard G., Monnereau M., Ingrin J. Is the Transition Zone an Empty Water Reservoir? Inferences from Numerical Model of Mantle Dynamics. Earth and Planetary Science Letters, 2002, 205(1/2): 37-51.
|
| [81] |
Rolf T., Coltice N., Tackley P. J. Linking Continental Drift, Plate Tectonics and the Thermal State of the Earth’s Mantle. Earth and Planetary Science Letters, 2012, 351/352: 134-146.
|
| [82] |
Rüpke L., Morgan J. P., Dixon J. E. Jacobsen S. D., van der Lee S. Implciations of Subduction Rehydration for Earth’s Deep Water Cycle. Earth’s Deep Water Cycle, 2006, Washington, D. C.: Geophys. Monogr. Ser. 168. AGU, 263-276
|
| [83] |
Rüpke L., Morgan J. P., Hort M., . Serpentine and the Subduction Zone Water Cycle. Earth and Planetary Science Letters, 2004, 223(1/2): 17-34.
|
| [84] |
Sandu C., Lenardic A., McGovern P. The Effects of Deep Water Cycling on Planetary Thermal Evolution. Journal of Geophysical Research, 2011, 116 B12 B12404
|
| [85] |
Schmandt B., Jacobsen S. D., Becker T. W., . Dehydration Melting at the Top of the Lower Mantle. Science, 2014, 344(6189): 1265-1268.
|
| [86] |
Tackley P. J. Self-Consistent Generation of Tectonic Plates in Time-Dependent, Three-Dimensional Mantle Convection Simulations—Part 1: Pseudo-Plastic Yielding. Geochemistry, Geophysics, Geosystems, 2000, 1 8 1525.
|
| [87] |
Tackley P. J. Self-Consistent Generation of Tectonic Plates in Time-Dependent, Three-Dimensional Mantle Convection Simulations—Part 2: Strain Weakening and Asthenosphere. Geochemistry, Geophysics, Geosystems, 2000, 1 8 1026.
|
| [88] |
Tackley P. J. Modelling Compressible Mantle Convection with Large Viscosity Contrasts in a Three-Dimensional Spherical Shell Using the Yin-Yang Grid. Physics of the Earth and Planetary Interiors, 2008, 171(1/2/3/4): 7-18.
|
| [89] |
Tackley P. J. Effects of Strongly Variable Viscosity on Three- Dimensional Compressible Convection in Planetary Mantles. Journal of Geophysical Research: Solid Earth, 1996, 101(B2): 3311-3332.
|
| [90] |
Tajika E., Matsui T. Evolution of Terrestrial Proto-CO2 Atmosphere Coupled with Thermal History of the Earth. Earth and Planetary Science Letters, 1992, 113(1/2): 251-266.
|
| [91] |
Timm O., Timmermann A., Abe-Ouchi A., . On the Definition of Seasons in Paleoclimate Simulations with Orbital Forcing. Paleoceanography, 2008, 23 2 PA2221
|
| [92] |
Townsend J. P., Tsuchiya J., Bina C. R., . Water Partitioning between Bridgmanite and Postperovskite in the Lowermost Mantle. Earth and Planetary Science Letters, 2016, 454: 20-27.
|
| [93] |
Trampert R., Hansen U. Mantle Convection Simulations with Rheologies that Generate Plate-Like Behavior. Nature, 1998, 395: 686-689.
|
| [94] |
Trenberth K. E., Fasullo J. T., Kiehl J. Earth’s Global Energy Budget. Bulletin of the American Meteorological Society, 2009, 90(3): 311-323.
|
| [95] |
Umemoto K., Hirose K. Liquid Iron-Hydrogen Alloys at Outer Core Conditions by First-Principles Calculations. Geophysical Research Letters, 2015, 42(18): 7513-7520.
|
| [96] |
van Heck H. J., Tackley P. J. Planforms of Self-Consistently Generated Plates in 3D Spherical Geometry. Geophysical Research Letters, 2008, 35 19 L19312
|
| [97] |
van Hunen J., Moyen J. F. Archean Subduction: Fact or Fiction?. Annual Review of Earth and Planetary Sciences, 2012, 40(1): 195-219.
|
| [98] |
van Keken P. E., Hacker B. R., Syracuse E. M., . Subduction Factory: 4. Depth-Dependent Flux of H2O from Subducting Slabs Worldwide. Journal of Geophysical Research, 2011, 116 B1 B01401.
|
| [99] |
Wang J. Y., Sinogeikin S. V., Inoue T., . Elastic Properties of Hydrous Ringwoodite at High-Pressure Conditions. Geophysical Research Letters, 2006, 33 14 L14308
|
| [100] |
Wilson C. R., Spiegelman M., van Keken P. E., . Fluid Flow in Subduction Zones: The Role of Solid Rheology and Compaction Pressure. Earth and Planetary Science Letters, 2014, 401: 261-274.
|
| [101] |
Xie S. X., Tackley P. J. Evolution of U-Pb and Sm-Nd Systems in Numerical Models of Mantle Convection and Plate Tectonics. Journal of Geophysical Research: Solid Earth, 2004, 109 B11 B11204
|
| [102] |
Yamazaki D., Karato S.-I. Some Mineral Physics Constraints on the Rheology and Geothermal Structure of Earth’s Lower Mantle. American Mineralogist, 2001, 86(4): 385-391.
|
| [103] |
Ye Y., Brown D. A., Smyth J. R., . Compressibility and Thermal Expansion of Hydrous Ringwoodite with 2.5(3) wt% H2O. American Mineralogist, 2012, 97(4): 573-582.
|
| [104] |
Zahnle K., Arndt N., Cockell C., . Emergence of a Habitable Planet. Space Science Reviews, 2007, 129(1/2/3): 35-78.
|