Turbulent mixing of metal and silicate during planet accretion - And interpretation of the Hf-W chronometer

Earth and Planetary Science Letters

Volumn 295, Issue 1-2, 2010, Pages 177-186

  Dahl, Tais W ^a   Stevenson, David J ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Core formation; Earth; Moon; Siderophile elements; Tungsten isotopes; Turbulence

Indexed keywords

ALL METAL; BULK SILICATE EARTH; COLLIDING BODIES; CORE FORMATION; CORE FORMATION PROCESS; DEGREE OF MIXING; EARTH'S ACCRETION; EARTH'S CORE; EARTH'S MANTLE; FINAL ASSEMBLY; FLUID DYNAMICAL MODEL; GIANT IMPACT; IMPACTORS; INITIAL SPEED; IRON CORES; LARGE CORE; LENGTH SCALE; LIQUID SYSTEM; MAJOR METAL; METAL CORE; METALLIC CORES; MOON-FORMING IMPACT; PLANET FORMATION; RADIOGENIC INGROWTHS; RAYLEIGH-TAYLOR INSTABILITIES; RE-EQUILIBRATION; SHEAR INSTABILITY; SIDEROPHILE; SIDEROPHILE ELEMENTS; SILICATE MANTLES; THIN STRUCTURE; TIME-SCALES; TURBULENT MIXING; TURBULENT STRUCTURES; VERTICAL WALL;

CHRONOMETERS; EARTH (PLANET); EMULSIFICATION; HAFNIUM; ISOTOPES; METALS; MIXING; SILICATES; TUNGSTEN; TURBULENCE;

MOON;

ACCRETION; ASTROPHYSICS; EARTH; ENTRAINMENT; FORMATION MECHANISM; GEOCHRONOLOGY; HAFNIUM; IMPACT STRUCTURE; IRON; MOON; NUMERICAL MODEL; PLANETARY EVOLUTION; SIDEROPHILE ELEMENT; SILICATE; TIMESCALE; TUNGSTEN; TURBULENCE; TURBULENT MIXING;

EID: 77953027943     PISSN: 0012821X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.epsl.2010.03.038     Document Type: Article

References (55)

1. Allegre C.J., Manhes G., Gopel C. The major differentiation of the Earth at similar to 4.45 Ga. Earth Planet. Sci. Lett. 2008, 267:386-398.
2. Cameron A.G.W., Benz W. The origin of the moon and the single impact hypothesis-IV. Icarus 1991, 92:204-216.
3. Canup R.M. Simulations of a late lunar-forming impact. Icarus 2004, 168:433-456.
4. Chambers J.E. Planetary accretion in the inner solar system. Earth Planet. Sci. Lett. 2004, 223:241-252.
5. Chandrasekhar S. Hydrodynamics and hydromagnetic stability 1961, Oxford University Press.
6. Chandrasekhar S. Hydrodynamics and hydromagnetic stability 1961, Oxford University Press, 447 pp.
7. Chandrasekhar S. Hydrodynamics and hydromagnetic stability 1961, Oxford University Press, 481ff pp.
8. Chen J.H.W., Wasserburg G.J. Live 107Pd in the early solar system and implication for planetary evolution, earth processes: reading the isotopic code. Am. Geophys. Union 1996, 1-20.
9. Dalziel S.B., Linden P.F., Youngs D.L. Self-similarity and internal structure of turbulence induced by Rayleigh-Taylor instability. J. Fluid Mech. 1999, 399:1-48.
10. Davies G.F. Heat deposition and retention in a solid planet growing by impacts. Icarus 1985, 63:45-68.
11. Drake M.J., Righter K. Determining the composition of the Earth. Nature 2002, 416:39-44.
12. Golabek G.J., Schmeling H., Tackley P.J. Earth's core formation aided by flow channelling instabilities induced by iron diapirs. Earth Planet. Sci. Lett. 2008, 271:24-33.
13. Halliday A.N. Mixing, volatile loss and compositional change during impact-driven accretion of the Earth. Nature 2004, 427:505-509.
14. Halliday A.N., Lee D.C. Tungsten isotopes and the early development of the Earth and Moon. Geochim. Cosmochim. Acta 1999, 63:4157-4179.
15. Halliday A., Rehkamper M., Lee D.C., Yi W. Early evolution of the Earth and Moon: new constraints from Hf-W isotope geochemistry. Earth Planet. Sci. Lett. 1996, 142:75-89.
16. Harper C.L., Jacobsen S.B. Evidence for Hf-182 in the early solar system and constraints on the timescale of terrestrial accretion and core formation. Geochim. Cosmochim. Acta 1996, 60:1131-1153.
17. Ivanov B.A., Neukum G., Bottke W.F., Hartmann W.K. The comparison of size-frequency distributions of impact craters and asteroids and the planetary cratering rate. Asteroids III 2002, 89-101. U. Arizona Press. A.C.W.F. Bottke, P. Paolicchi, R. Binzel (Eds.).
18. Jacobsen S.B. The Hf-wisotopic system and the origin of the earth and moon. Ann. Rev. Earth Planet. Sci. 2005, 33:531-570.
19. Jacobsen S., Ranen M., Petaev M., Remo J., O'Connell R., Sasselov D. Isotopes as clues to the origin and earliest differentiation history of the Earth. Philos. Trans. A 2008, 366:4129.
20. Kleine T., Munker C., Mezger K., Palme H. Rapid accretion and early core formation on asteroids and the terrestrial planets from Hf-W chronometry. Nature 2002, 418:952-955.
21. Kleine T., Mezger K., Palme H., Munker C. The W isotope evolution of the bulk silicate Earth: constraints on the timing and mechanisms of core formation and accretion. Earth Planet. Sci. Lett. 2004, 228:109-123.
22. Kleine T., Palme H., Mezger M., Halliday A.N. Hf-W chronometry of lunar metals and the age and early differentiation of the Moon. Science 2005, 310:1671-1674.
23. Kleine T., Mezger K., Palme H., Scherer E., Munker C. The W isotope composition of eucrite metals: constraints on the timing and cause of the thermal metamorphism of basaltic eucrites. Earth Planet. Sci. Lett. 2005, 231:41-52.
24. Kleine T., Touboul M., Bourdon B., Nimmo F., Mezger K., Palme H., Jacobsen S.B., Yin Q.-Z., Halliday A.N. Hf-W chronology of the accretion and early evolution of asteroids and terrestrial planets. Geochim. Cosmochim. Acta 2009, 73:5150-5188.
25. Kortenkamp S.J., Wetherill G.W., Inaba S. Runaway growth of planetary embryos facilitated by massive bodies in a protoplanetary disk. Science 2001, 293:1127-1129.
26. Kotsovinos N.E. Dissipation of turbulent kinetic-energy in buoyant free shear flows. Int. J. Heat Mass Transf. 1990, 33:393-400.
27. Lee D.C., Halliday A.N. Hf-W isotopic evidence for rapid accretion and differentiation in the early solar system. Science 1996, 274:1876-1879.
28. Markowski A., Quitte G., Halliday A.N., Kleine T. Tungsten isotopic compositions of iron meteorites: chronological constraints vs. cosmogenic effects. Earth Planet. Sci. Lett. 2006, 242:1-15.
29. McDonough W.F. Compositional model for the Earth's core. Treatise on Geochemistry 2003, 2:547-568.
30. Melosh H.J. Impact Cratering - A Geological Process 1990, Oxford University Press.
31. Morton B.R., Taylor G., Turner J.S. Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A Math. Phys. Sci. 1956, 234:1-23.
32. Nimmo F., Kleine T. How rapidly did Mars accrete? Uncertainties in the Hf-W timing of core formation. Icarus 2007, 191:497-504.
33. O'Brien D.P., Morbidelli A., Levison H.F. Terrestrial planet formation with strong dynamical friction. Icarus 2006, 184:39-58.
34. Ogihara M., Ida S., Morbidelli A. Accretion of terrestrial planets from oligarchs in a turbulent disk. Icarus 2007, 188:522-534.
35. Okamoto M. Theoretical modelling of buoyancy-driven turbulent flows. J. Phys. Soc. Jpn 1996, 65:2044-2059.
36. Papanicolaou P.N., List E.J. Investigations of round vertical turbulent buoyant jets. J. Fluid Mech. 1988, 195:341-391.
37. Petaev, M., Jacobsen, S., Remo, J., Adams, R., Sasselov, D., 2008. Experimental Study of High-Energy Processing of Protoplanetary Materials. LPS 39, #1850.
38. Porcelli D., Woolum D., Cassen P. Deep Earth rare gases: initial inventories, capture from the solar nebula, and losses during Moon formation. Earth Planet. Sci. Lett. 2001, 193:237-251.
39. Righter K., Drake M.J., Yaxley G. Prediction of siderophile element metal-silicate partition coefficients to 20 GPa and 2800 degrees C: the effects of pressure, temperature, oxygen fugacity, and silicate and metallic melt compositions. Phys. Earth Planet. Inter. 1997, 100:115-134.
40. Rubie D.C., Melosh H.J., Reid J.E., Liebske C., Righter K. Mechanisms of metal-silicate equilibration in the terrestrial magma ocean. Earth Planet. Sci. Lett. 2003, 205:239-255.
41. Sasaki T., Abe Y. Rayleigh-Taylor instability after giant impacts: imperfect equilibration of the Hf-W system and its effect on the core formation age. Earth Planets Space 2007, 59:1035-1045.
42. Schoenberg R., Kamber B.S., Collerson K.D., Eugster O. New W-isotope evidence for rapid terrestrial accretion and very early core formation. Geochim. Cosmochim. Acta 2002, 66:3151-3160.
43. Smyth W.D., Moum J.N. Length scales of turbulence in stably stratified mixing layers. Phys. Fluids 2000, 12:1327-1342.
44. Smyth W.D., Moum J.N., Caldwell D.R. The efficiency of mixing in turbulent patches: inferences from direct simulations and microstructure observations. J. Phys. Oceanogr. 2001, 31:1969-1992.
45. Snider D., Andrews M. Rayleigh-Taylor and shear driven mixing with an unstable thermal stratification. Phys. Fluids 1994, 6:3324.
46. Stevenson D.J. Fluid dynamics and core formation. Origin of the Earth 1990, 231-250. Oxford University Press, New York. H. Jones (Ed.).
47. Tennekes H.L.J. A first Course in Turbulence 1972, MIT press.
48. Tera F., Papanastassiou D.A., Wasserburg G.J Isotopic evidence for a terminal lunar cataclysm. Earth Planet. Sci. Lett. 1974, 22:1-21.
49. Tonks W.B., Melosh H.J. Magma ocean formation due to giant impacts. J. Geophys. Res.-Planets 1993, 98:5319-5333.
50. Touboul M., Kleine T., Bourdon B., Palme H., Wieler R. Late formation and prolonged differentiation of the Moon inferred from W isotopes in lunar metals. Nature 2007, 450:1206-1209.
51. Tschauner, O., Willis, M., Asimow, P., Ahrens T., 2005. Effective liquid metal-silicate mixing upon shock by power-law droplet size scaling in Richtmyer-Meshkov like perturbations. LPS 36, #1802.
52. Turner J.S. Turbulent entrainment - the development of the entrainment assumption, and its application to geophysical flows. J. Fluid Mech. 1986, 173:431-471.
53. Weidenschilling S.J. Formation of planetesimals and accretion of the terrestrial planets 2000, 295-310. Kluwer Academic Publ.
54. Wood B.J., Halliday A.N. Cooling of the Earth and core formation after the giant impact. Nature 2005, 437:1345-1348.
55. Yin Q.Z., Jacobsen S.B., Yamashita K., Blichert-Toft J., Telouk P., Albarede F. A short timescale for terrestrial planet formation from Hf-W chronometry of meteorites. Nature 2002, 418:949-952.