Portal de Periódicos da CAPES

Correction to “Effects of hydration on the elastic properties of olivine”

2009; American Geophysical Union; Volume: 36; Issue: 12 Linguagem: Inglês

10.1029/2009gl038660

1944-8007

Steven D. Jacobsen, Fuming Jiang, Zhu Mao, T. S. Duffy, Joseph R. Smyth, C. M. Holl, D. J. Frost,

CO2 Sequestration and Geologic Interactions

Geophysical Research LettersVolume 36, Issue 12 Solid EarthFree Access Correction to “Effects of hydration on the elastic properties of olivine” This article corrects the following: Effects of hydration on the elastic properties of olivine Steven D. Jacobsen, Fuming Jiang, Zhu Mao, Thomas S. Duffy, Joseph R. Smyth, Christopher M. Holl, Daniel J. Frost, Volume 35Issue 14Geophysical Research Letters First Published online: July 18, 2008 Steven D. Jacobsen, Steven D. Jacobsen steven@earth.northwestern.edu Search for more papers by this authorFuming Jiang, Fuming JiangSearch for more papers by this authorZhu Mao, Zhu MaoSearch for more papers by this authorThomas S. Duffy, Thomas S. DuffySearch for more papers by this authorJoseph R. Smyth, Joseph R. SmythSearch for more papers by this authorChristopher M. Holl, Christopher M. HollSearch for more papers by this authorDaniel J. Frost, Daniel J. FrostSearch for more papers by this author Steven D. Jacobsen, Steven D. Jacobsen steven@earth.northwestern.edu Search for more papers by this authorFuming Jiang, Fuming JiangSearch for more papers by this authorZhu Mao, Zhu MaoSearch for more papers by this authorThomas S. Duffy, Thomas S. DuffySearch for more papers by this authorJoseph R. Smyth, Joseph R. SmythSearch for more papers by this authorChristopher M. Holl, Christopher M. HollSearch for more papers by this authorDaniel J. Frost, Daniel J. FrostSearch for more papers by this author First published: 16 June 2009 https://doi.org/10.1029/2009GL038660Citations: 14AboutSectionsPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat [1] In the paper “Effects of hydration on the elastic properties of olivine” by S. D. Jacobsen et al. (Geophysical Research Letters, 35, L14303, doi:10.1029/2008GL034398, 2008), the sample of hydrous olivine labeled hy-Fo97 with (001) orientation in the bottom plot of original Figure 1b has been subsequently identified by Raman spectroscopy as OH-chondrodite, (Mg,Fe)5Si2O8(OH)2 [e.g., Lin et al., 1999]. The OH-chondrodite co-existed with hydrous forsterite in the synthesis run, and all other samples in the study have been confirmed to be hydrous forsterite. Upon removing the OH-chondrodite platelet from the fit, we obtain a corrected set of elastic constants (Cij) and crystallographic orientations for hy-Fo97 using a two-plane fit, displayed in corrected Figure 1 and presented in corrected Table 1. The original Table 2 of anisotropy factors has been updated and presented here in corrected Table 2. Brillouin spectra from the two remaining orientations of hy-Fo97 determine eight of the nine Cij, leaving C12 unconstrained. As a result, C12 was fixed to the value obtained for hy-Fo100 and a large uncertainty of ±5 GPa in this parameter was assumed in calculating the aggregate bulk (KS0) and shear (G) moduli. Figure 1Open in figure viewerPowerPoint Measured acoustic velocities (solid symbols) as a function of azimuthal angle in different platelets for each composition, (a) hy-Fo100 and (b) hy-Fo97. Fitted solutions to the Christoffel equations are shown by solid lines. Table 1. Elastic Properties of Olivine With Varying Iron and Water Contentaa Values in parentheses are standard deviations in the last place. Forsteritebb Suzuki et al. [1983]. San Carlos Olivinecc Webb [1989]. Effect of Fe (%)dd Percent change compared with anhydrous forsterite. Hy-Fo100ee This study. Effect of H2O (%)dd Percent change compared with anhydrous forsterite. Hy-Fo97ee This study. Effect of Fe and H2O (%)dd Percent change compared with anhydrous forsterite. Mg# 1.00 0.90 1.00 0.97 H2O (wt%)ff Water contents estimated using the calibration of Bell et al. [2003]. 0 0 0.89 0.80 Cij (GPa) C11 328.6 (5) 320.2 (4) −2.6 314.4 (6) −4.3 311.2 (11) −5.3 C22 200.1 (3) 195.9 (3) −2.1 194.6 (5) −2.7 193.5 (10) −3.3 C33 235.7 (5) 233.8 (3) −0.8 233.7 (7) −0.8 230.1 (6) −2.4 C12 66.8 (3) 67.9 (3) +1.6 64.7 (6) −3.1 64.7gg Value of C12 for hy-Fo97 was unconstrained by our data and fixed to the hy-Fo100 value of 64.7 GPa. We assume a large uncertainty of ±5 GPa in C12 for the purpose of calculating aggregate moduli, KS0 and G. −3.1 C13 68.4 (4) 70.5 (3) +3.1 67.0 (6) −2.0 64.7 (7) −5.4 C23 72.7 (3) 78.5 (4) +8.0 70.0 (6) −3.7 74.2 (6) +2.1 C44 67.0 (1) 63.5 (2) −5.2 65.8 (3) −1.8 62.7 (1) −6.4 C55 81.2 (2) 76.9 (2) −5.3 79.9 (2) −1.6 78.5 (3) −3.3 C66 80.9 (1) 78.1 (1) −3.5 78.4 (4) −3.1 77.8 (8) −3.8 ρ (kg/m3) 3225 3350 +3.9 3180 (3) −1.4 3240 (3) +0.5 KS0 (GPa) 128.9 129.5 +0.5 125.4 (2) −2.7 125.2 (8) −2.9 G0 (GPa) 81.4 77.5 −4.8 79.6 (1) −2.2 77.7 (3) −4.5 VP (km/s) 8.58 8.34 −2.8 8.53 (1) −0.6 8.40 (1) −2.1 VS (km/s) 5.02 4.81 −4.2 5.00 (1) −0.4 4.90 (1) −2.4 VP/VS 1.709 1.734 +1.5 1.706 (5) −0.2 1.714 (6) +0.3 Poisson, ν 0.240 0.251 +4.6 0.238 (7) −0.8 0.242 (7) +0.8 a Values in parentheses are standard deviations in the last place. b Suzuki et al. [1983]. c Webb [1989]. d Percent change compared with anhydrous forsterite. e This study. f Water contents estimated using the calibration of Bell et al. [2003]. g Value of C12 for hy-Fo97 was unconstrained by our data and fixed to the hy-Fo100 value of 64.7 GPa. We assume a large uncertainty of ±5 GPa in C12 for the purpose of calculating aggregate moduli, KS0 and G. Table 2. Anisotropy of Single-Crystal Olivine With Varying Iron and Water Content Forsteriteaa Suzuki et al. [1983]. San Carlos Olivinebb Webb [1989]. Hy-Fo100 This study Hy-Fo97 This study P-Wave Anisotropy Vp[100]cc Uncertainties in velocities are 0.01–0.02 km/s, propagated from uncertainties in Cij. 10.09 9.78 9.94 9.80 Vp[010] 7.88 7.65 7.82 7.73 Vp[001] 8.55 8.35 8.57 8.43 %Anisotropydd Anisotropy (%) is calculated as (Vmax − Vmin)/Vmean. 25.0 (±0.4) 24.8 (±0.1) 24.1 (±0.5) 23.9 (±0.4) S-Wave Anisotropy Vs//a-axis Polarized [010] 5.01 4.83 4.97 4.90 Polarized [001] 5.02 4.79 5.01 4.92 % anisotropydd Anisotropy (%) is calculated as (Vmax − Vmin)/Vmean. 0.2 (±0.3) 0.8 (±0.1) 0.8 (±0.5) 0.4 (±0.7) Vs//b-axis Polarized [100] 5.01 4.83 4.97 4.90 Polarized [001] 4.56 4.35 4.55 4.40 % anisotropydd Anisotropy (%) is calculated as (Vmax − Vmin)/Vmean. 9.4 (±0.2) 10.5 (±0.2) 8.8 (±0.6) 10.8 (±0.6) Vs//c-axis Polarized [100] 5.02 4.79 5.01 4.92 Polarized [010] 4.56 4.35 4.55 4.40 % anisotropydd Anisotropy (%) is calculated as (Vmax − Vmin)/Vmean. 9.6 (±0.3) 9.6 (±0.2) 9.6 (±0.6) 11.2 (±0.3) LPO Analysis A-type fabricee Assumes horizontal flow, S-wave propagating in the shear plane, parallel to shear direction, with VSH polarized in the shear plane, and VSV polarized perpendicular to the shear plane. The crystal orientation for each fabric type is idealized using observed lattice preferred orientation (LPO) fabric types given by Jung et al. [2006]. VSH 5.02 4.79 5.01 4.92 VSV 5.01 4.83 4.97 4.90 VSH/VSV 1.002 0.992 1.008 1.004 B-type fabricee Assumes horizontal flow, S-wave propagating in the shear plane, parallel to shear direction, with VSH polarized in the shear plane, and VSV polarized perpendicular to the shear plane. The crystal orientation for each fabric type is idealized using observed lattice preferred orientation (LPO) fabric types given by Jung et al. [2006]. VSH 5.02 4.79 5.01 4.92 VSV 4.56 4.35 4.55 4.40 VSH/VSV 1.101 1.101 1.101 1.118 C-type fabricee Assumes horizontal flow, S-wave propagating in the shear plane, parallel to shear direction, with VSH polarized in the shear plane, and VSV polarized perpendicular to the shear plane. The crystal orientation for each fabric type is idealized using observed lattice preferred orientation (LPO) fabric types given by Jung et al. [2006]. VSH 4.56 4.35 4.55 4.40 VSV 5.02 4.79 5.01 4.92 VSH/VSV 0.908 0.908 0.908 0.894 E-type fabricee Assumes horizontal flow, S-wave propagating in the shear plane, parallel to shear direction, with VSH polarized in the shear plane, and VSV polarized perpendicular to the shear plane. The crystal orientation for each fabric type is idealized using observed lattice preferred orientation (LPO) fabric types given by Jung et al. [2006]. VSH 5.01 4.83 4.97 4.90 VSV 5.02 4.79 5.01 4.92 VSH/VSV 0.998 1.008 0.992 0.996 a Suzuki et al. [1983]. b Webb [1989]. c Uncertainties in velocities are 0.01–0.02 km/s, propagated from uncertainties in Cij. d Anisotropy (%) is calculated as (Vmax − Vmin)/Vmean. e Assumes horizontal flow, S-wave propagating in the shear plane, parallel to shear direction, with VSH polarized in the shear plane, and VSV polarized perpendicular to the shear plane. The crystal orientation for each fabric type is idealized using observed lattice preferred orientation (LPO) fabric types given by Jung et al. [2006]. [2] In addition, a minor correction to the elastic constants of hydrous forsterite (hy-Fo100) is presented in revised Table 1 because the original calculation used an earlier estimated density of 3.19 g/cm3, instead of the actual measured X-ray density of 3.180(3) g/cm3. The measured X-ray density of 3.180(3) g/cm3 was correctly reported in the original text, but not used in the calculation of Cij. The revised Cij of hydrous forsterite are affected by only 0.2–0.3% from the original calculation as a result of the error. [3] The revised values of elastic properties for hy-Fo100 and hy-Fo97 presented in the corrected Table 1 apply to the following statements in the text: [4] The last four sentences of paragraph [1] should read: The adiabatic bulk (KS0) and shear (G0) moduli of hy-Fo100 are 125.4(±0.2) GPa and 79.6(±0.1) GPa, respectively. For hy-Fo97, we obtain KS0 = 125.2(±0.8) GPa and G0 = 77.7(±0.3) GPa. Compared with anhydrous forsterite, the combined effects of 3 mol% Fe and 0.8 wt% H2O reduce bulk and shear moduli by 2.9(±0.6)% and 4.5(±0.4)% respectively, with greater reductions expected for more iron-rich Fo90 mantle compositions. Although lattice preferred orientation (LPO) studies have not been carried out under relevant conditions of water or pressure, analysis of idealized single-crystal anisotropy for various known LPO types predicts no more than 2% effect of hydration on S-wave splitting anisotropy in olivine. [5] The last sentence of paragraph [9] should read: We measured two platelets of hy-Fo97 with fitted orientations of (100) and (010), shown in the corrected Figure 1b. [6] The last two sentences of paragraph [10] should read: The addition of 0.89 wt% H2O to forsterite in our hy-Fo100 samples shows a reduction of all Cij by 1.8–4.3%, except C33, which is reduced by only 0.8%. For hy-Fo100, we obtain KS0 = 125.4(±0.2) GPa and G0 = 79.6(±0.1) GPa, which are about 2.7% and 2.2% lower than anhydrous forsterite, respectively. [7] The first two sentences of paragraph [11] should read: Comparing the Cij of hy-Fo97 with anhydrous Fo100 to ascertain the net effect of iron and hydration shows that there is a large reduction in Cij by 2.4–6.4%, except for C23, which increased by 2.1%. For hy-Fo97, we obtain KS0 = 125.2(±0.8) GPa and G0 = 77.7(±0.3) GPa, which are 2.9% and 4.5% lower than anhydrous forsterite. [8] The last sentence of paragraph [11] should read: The aggregate hy-Fo97 velocities Vp and Vs (with only 3 mol% Fe) are 2.1% and 2.4% lower, respectively, than anhydrous forsterite, suggesting that hydrous Fo90 olivine, closer to mantle composition, would exhibit even further reduced velocities. [9] The last sentence of paragraph [13] should read: Hydration of forsterite only slightly reduces the maximum P-wave anisotropy, expressed as [(Vmax − Vmin)/Vmean] × 100, from 25.0(±0.4)% to 24.1(±0.5)% for hy-Fo100, with moderate further reduction to 23.9(±0.4)% for hy-Fo97. [10] The third sentence of paragraph [15] should read: Under horizontal shear (used to reference VSH and VSV), the hy-Fo97 olivine shows no change in shear-wave splitting anisotropy for idealized LPO type-A and type-E compared with dry forsterite. [11] The fifth sentence of paragraph [15] should read: In both cases (type-B and type-C) there is moderate 1–2% change in S-wave splitting anisotropy with hydration (corrected Table 2). Supporting Information Filename Description grl26037-sup-0001-t01.txtplain text document, 1.6 KB Tab-delimited Table 1. grl26037-sup-0002-t02.txtplain text document, 1.8 KB Tab-delimited Table 2. Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article. References Lin, C. C., L. G. Liu, and T. Irifune (1999), High-pressure Raman spectroscopic study of chondrodite, Phys. Chem. Miner., 26, 226– 233. CrossrefCASADSWeb of Science®Google Scholar Citing Literature Volume36, Issue12June 2009 FiguresReferencesRelatedInformation