Elasticity of epidote at high pressure and its implications for the velocity anomaly in subduction zone

Abstract

Hydrous minerals play a critical role in modifying the physical and chemical properties of the Earth’s interior. Among those, epidote is an important hydrous mineral in greenschist and blueschist phases of the metamorphosed subducting crust at shallow depth (30-60 km). Here, we measured the compressional (P) and shear (S) wave velocities of a polycrystalline epidote sample at pressures up to 7 GPa and room temperature by means of ultrasonic interferometry. The obtained sound velocities and elastic moduli of epidote increase monotonically with pressure. Finite strain analysis on those data set yielded the elastic moduli and their pressure derivatives of epidote at ambient condition as follows: $K_{S0}=115.2\mathrm{GPa}$$K_{S0}=115.2\mathrm{GPa}$, $G_0=66.7\mathrm{GPa}$$G_0=66.7\mathrm{GPa}$, $K_s^{\prime }=4.6$$K_s^{\prime }=4.6$, $G^{\prime }=1.1$$G^{\prime }=1.1$. Using the elastic properties of epidote, we set up a model to better understand the velocity jumps in the subducted oceanic crusts concerning the blueschist-eclogite transition at 60-90 km depths. Our results indicate that the calculated P and S wave velocity jumps are in good agreement with those seismic observations in the typical subduction zones such as northeastern Japan and southwestern Japan. The eclogitization from epidote bearing blueschist may provide an explanation for the wave velocity anomalies occurred in those regions.

Keywords

Epidote / Hydrous mineral / Elasticity / Subduction zone

CRediT authorship contribution statement

Junsheng Ma: Writing – original draft, Visualization, Investigation, Formal analysis. Nao Cai: Writing – review & editing, Writing – original draft, Supervision, Software, Resources, Project administration, Methodology, Investigation, Funding acquisition, Formal analysis, Data curation, Conceptualization. Duojun Wang: Supervision, Project administration, Funding acquisition.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgments

This research was supported by the National Natural Science Foundation of China (NSFC) Major Research Plan on West-Pacific Earth System Multispheric Interactions (project number: 91958216), NSFC (project number: 42374211) and the Fundamental Research Funds for the Central Universities.

References

[1] N. Cai, D. Wang. Sound velocity of (Mg0.91Fe0.09)2SiO4 wadsleyite and its implications to water distribution in mantle transition zone. Geophys. Res. Lett., 49 (2022), Article e2022GL100302,

[2] J. Chantel, M. Mookherjee, D.J. Frost. The elasticity of lawsonite at high pressure and the origin of low velocity layers in subduction zones. Earth Planet. Sci. Lett., 349 (2012), pp. 116-125,

[3] T. Chen, G.D. Gwanmesia, X.B. Wang, Y.T. Zou, R.C. Liebermann, C. Michaut, B.S. Li. Anomalous elastic properties of coesite at high pressure and implications for the upper mantle X-discontinuity. Earth Planet. Sci. Lett., 412 (2015), pp. 42-51,

[4] T. Chen, R.C. Liebermann, Y. Zou, Y. Li, X. Qi, B. Li. Tracking silica in Earth's upper mantle using new sound velocity data for coesite to 5.8 GPa and 1073 K. Geophys. Res. Lett., 44 (2017), pp. 7757-7765,

[5] P. Chen, D. Wang, N. Cai, J. Zhang, R. Zhang, Y. Cao. Anomalous sound velocities of talc at high pressure and implications for estimating water content in mantle wedge. J. Geophys Res. Solid Earth, 128 (2023), Article e2023JB027309,

[6] R.K. Cook. Variation of elastic constants and static strains with hydrostatic pressure; a method for calculation from ultrasonic measurements. J. Acoust. Soc. Am., 29 (1957), pp. 445-449,

[7] G.F. Davies, A.M. Dziewonski. Homogeneity and constitution of the earth's lower mantle and outer core. Phys. Earth Planet. Inter., 10 (1975), pp. 336-343,

[8] P.B. Davis, D.L. Whitney. Petrogenesis of lawsonite and epidote eclogite and blueschist, Sivrihisar Massif. Turkey. J. Metamorph. Geol., 24 (2006), pp. 823-849,

[9] G.D. Gatta, M. Merlini, Y. Lee, S. Poli. Behavior of epidote at high pressure and high temperature: a powder diffraction study up to 10 GPa and 1,200 K. Phys. Chem. Miner., 38 (2011), pp. 419-428,

[10] W.A. Dollase. Refinement of The Crystal Structures of Epidote, Allanite and Hancockite. Am. Mineral., 56 (1971), pp. 447-464

[11] A.M. Dziewonski, D.L. Anderson. Preliminary reference Earth model. Phys. Earth Planet. Inter., 25 (1981), pp. 297-356,

[12] M. Enami, J.G. Liou, C.G. Mattinson. Epidote Minerals in High P/T Metamorphic Terranes: Subduction Zone and High- to Ultrahigh-Pressure Metamorphism. Rev. Mineral. Geochem., 56 (2004), pp. 347-398,

[13] S. Endo, A. Yoneda, M. Ichikawa, S. Tanaka, S. Kawabe. High-pressure study of transition in ZnTe by manganin coil method. J. Phys. Soc. Jpn., 51 (1982), pp. 138-140,

[14] B.W. Evans. Phase-Relations of Epidote-Blueschists. Lithos, 25 (1990), pp. 3-23,

[15] D.-W. Fan, M.-N. Ma, J.-J. Yang, S.-Y. Wei, Z.-Q. Chen, H.-S. Xie. In Situ High-Pressure Synchrotron X-Ray Diffraction Study of Clinozoisite. Chin. Phys. Lett., 28 (2011), Article 126103,

[16] D. Fan, J. Xu, S. Wei, Z. Chen, H. Xie. In-Situ High-Pressure Synchrotron X-Ray Diffraction of Natural Epidote. Chin. J. High Press. Phys., 28 (2014), pp. 257-267, 10.11858/gywlxb.2014.03.001

[17] J. Gonzalez-Platas, M. Alvaro, F. Nestola, R. Angel. EosFit7-GUI: a new graphical user interface for equation of state calculations, analyses and teaching. J. Appl. Crystallogr., 49 (2016), pp. 1377-1382,

[18] G.D. Gwanmesia, L. Wang, A. Heady, R.C. Liebermann. Elasticity and sound velocities of polycrystalline grossular garnet (Ca3Al2Si3O12) at simultaneous high pressures and high temperatures. Phys. Earth Planet. Inter., 228 (2014), pp. 80-87,

[19] G.D. Gwanmesia, M.L. Whitaker, L. Dai, A. James, H. Chen, R.S. Triplett, N. Cai. The Elastic Properties of β-Mg2SiO4 Containing 0.73 wt.% of H2O to 10 GPa and 600 K by Ultrasonic Interferometry with Synchrotron X-Radiation. Minerals, 10 (2020), p. 209,

[20] R.T.J. Hansen, M.G. Bostock, N.I. Christensen. Nature of the low velocity zone in Cascadia from receiver function waveform inversion. Earth Planet. Sci. Lett., 337–338 (2012), pp. 25-38,

[21] M. Hao, J.S. Zhang, C.E. Pierotti, Z.Y. Ren, D. Zhang. High-pressure single-crystal elasticity and thermal equation of state of omphacite and their implications for the seismic properties of eclogite in the Earth's interior. J. Geophys. Res. Solid Earth, 124 (2019), pp. 2368-2377,

[22] T.J.B. Holland, S.A.T. Redfern, A.R. Pawley. Volume behavior of hydrous minerals at high pressure and temperature; II, Compressibilities of lawsonite, zoisite, clinozoisite, and epidote. Am. Mineral., 81 (1996), pp. 341-348,

[23] M. Ivandic, I. Grevemeyer, J. Bialas, C.J. Petersen. Serpentinization in the trench-outer rise region offshore of Nicaragua: constraints from seismic refraction and wide-angle data. Geophys. J. Int., 180 (2010), pp. 1253-1264,

[24] T. Katsura, H. Yamada, O. Nishikawa, M. Song, A. Kubo, T. Shinmei, S. Yokoshi, Y. Aizawa, T. Yoshino, M.J. Walter, E. Ito, K.I. Funakoshi. Olivine-wadsleyite transition in the system (Mg, Fe)2SiO4. J. Geophys. Res. Solid Earth, 109 (2004), Article B02209,

[25] B.L.N. Kennett, E.R. Engdahl, R. Buland. Constraints on seismic velocities in the Earth from traveltimes. Geophys. J. Int., 122 (1995), pp. 108-124,

[26] J.-I. Kimura, J. Nakajima. Behaviour of subducted water and its role in magma genesis in the NE Japan arc: A combined geophysical and geochemical approach. Geochim. Cosmochim. Acta, 143 (2014), pp. 165-188,

[27] S.H. Kirby, S. Stein, E.A. Okal, D.C. Rubie. Metastable mantle phase transformations and deep earthquakes in subducting oceanic lithosphere. Rev. Geophys., 34 (1996), pp. 261-306,

[28] S. Kita, T. Okada, A. Hasegawa, J. Nakajima, T. Matsuzawa. Anomalous deepening of a seismic belt in the upper-plane of the double seismic zone in the Pacific slab beneath the Hokkaido corner: Possible evidence for thermal shielding caused by subducted forearc crust materials. Earth Planet. Sci. Lett., 290 (2010), pp. 415-426,

[29] J.S. Knibbe, S.M. Luginbuhl, R. Stoevelaar, W. van der Plas, D.M. van Harlingen, N. Rai, E.S. Steenstra, R. van de Geer, W. van Westrenen. Calibration of a multi-anvil high-pressure apparatus to simulate planetary interior conditions. EPJ Tech Instrum, 5 (2018), p. 5,

[30] Y. Kono, S. Greaux, Y. Higo, H. Ohfuji, T. Irifune. Pressure and Temperature Dependences of Elastic Properties of Grossular Garnet up to 17 GPa and 1 650 K. J. Earth Sci., 21 (2010), pp. 782-791,

[31] E.J. Krogh, C.W. Oh, J.G. Liou. Polyphase and Anticlockwise P-T Evolution for Franciscan Eclogites and Blueschists from Jenner, California. USA. J. Metamorph. Geol., 12 (1994), pp. 121-134,

[32] D.L. Lakshtanov, S.V. Sinogeikin, J.D. Bass. High-temperature phase transitions and elasticity of silica polymorphs. Phys. Chem. Miner., 34 (2006), pp. 11-22,

[33] M. Lefeldt, I. Grevemeyer, J. Goßler, J. Bialas. Intraplate seismicity and related mantle hydration at the Nicaraguan trench outer rise. Geophys. J. Int., 178 (2009), pp. 742-752,

[34] B. Li, R.C. Liebermann. Study of the Earth’s interior using measurements of sound velocities in minerals by ultrasonic interferometry. Phys. Earth Planet. Inter., 233 (2014), pp. 135-153,

[35] B. Li, J.G. Xu, D.Z. Zhang, Z.L. Ye, S.J. Huang, D.W. Fan, W.G. Zhou, H.S. Xie. Thermoelasticity and stability of natural epidote at high pressure and high temperature: Implications for water transport during cold slab subduction. Geosci. Front., 12 (2021), pp. 921-928,

[36] T. Liu, D.J. Wang, K.W. Shen, C.J. Liu, L. Yi. Kinetics of antigorite dehydration: Rapid dehydration as a trigger for lower-plane seismicity in subduction zones. Am. Mineral., 104 (2019), pp. 282-290,

[37] Y. Masumoto, M. Enami, M. Tsuboi, M. Hong. Magmatic zoisite and epidote in tonalite of the Ryoke belt, central Japan. Eur. J. Mineral., 26 (2014), pp. 279-291,

[38] M. Matsubara, K. Obara, K. Kasahara. Three-dimensional P- and S-wave velocity structures beneath the Japan Islands obtained by high-density seismic stations by seismic tomography. Tectonophysics, 454 (2008), pp. 86-103,

[39] M. Matsumoto, S. Wallis, M. Aoya, M. Enami, J. Kawano, Y. Seto, N. Shimobayashi. Petrological constraints on the formation conditions and retrograde P-T path of the Kotsu eclogite unit, central Shikoku. J. Metamorph. Geol., 21 (2003), pp. 363-376,

[40] S. Milani, R.J. Angel, L. Scandolo, M.L. Mazzucchelli, T.B. Ballaran, S. Klemme, M.C. Domeneghetti, R. Miletich, K.S. Scheidl, M. Derzsi, K. Tokár, M. Prencipe, M. Alvaro, F. Nestola. Thermo-elastic behavior of grossular garnet at high pressures and temperatures. Am. Mineral., 102 (2017), pp. 851-859,

[41] Nakajima, J., Hasegawa, A., Kita, S., 2011. Seismic evidence for reactivation of a buried hydrated fault in the Pacific slab by the 2011 M9.0 Tohoku earthquake. Geophys. Res. Lett. 38(7), L00G06. https://doi.org/10.1029/2011gl048432.

[42] E.P. Papadakis. New, compact instrument for pulse-echo-overlap measurements of ultrasonic wave transit times. Rev. Sci. Instrum., 47 (1976), pp. 806-813,

[43] A. Pavese, V. Diella, V. Pischedda, M. Merli, R. Bocchio, M. Mezouar. Pressure-volume-temperature equation of state of andradite and grossular, by high-pressure and -temperature powder diffraction. Phys. Chem. Miner., 28 (2001), pp. 242-248,

[44] A.R. Pawley, S.A.T. Redfern, T.J.B. Holland. Volume behavior of hydrous minerals at high pressure and temperature.1. Thermal expansion of lawsonite, zoisite, clinozoisite, and diaspore. Am. Mineral., 81 (1996), pp. 335-340,

[45] S.A. Peacock. Fluid processes in subduction zones. Science, 248 (1990), pp. 329-337,

[46] S.M. Peacock, K. Wang. Seismic consequences of warm versus cool subduction metamorphism: examples from southwest and northeast Japan. Science, 286 (1999), pp. 937-939,

[47] S.M. Peacock, P.E.V. Keken, S.D. Holloway, B.R. Hacker, G.A. Abers, R.L. Fergason. Thermal structure of the Costa Rica – Nicaragua subduction zone. Phys. Earth Planet. Inter., 149 (2005), pp. 187-200,

[48] Y. Peng, M. Mookherjee. Thermoelasticity of tremolite amphibole: Geophysical implications. Am. Mineral., 105 (2020), pp. 904-916,

[49] S. Poli. The amphibolite-eclogite transformation; an experimental study on basalt. Am. J. Sci., 293 (1993), pp. 1061-1107,

[50] S. Poli, E. Franzolin, P. Fumagalli, A. Crottini. The transport of carbon and hydrogen in subducted oceanic crust: An experimental study to 5 GPa. Earth Planet. Sci. Lett., 278 (2009), pp. 350-360,

[51] S. Poli, M.W. Schmidt. H2O transport and release in subduction zones - experimental constraints on basaltic and andesitic systems. J. Geophys. Res. Solid Earth, 100 (1995), pp. 22299-22314,

[52] S.S. Poli, M.W. Schmidt. Experimental subsolidus studies on epidote minerals. Epidotes, 56 (2004), pp. 171-195,

[53] F. Qin, X. Wu, Y. Wang, D.W. Fan, S. Qin, K. Yang, J.P. Townsend, S.D. Jacobsen. High-pressure behavior of natural single-crystal epidote and clinozoisite up to 40 GPa. Phys. Chem. Miner., 43 (2016), pp. 649-659,

[54] C.R. Ranero, V. Sallarès. Geophysical evidence for hydration of the crust and mantle of the Nazca plate during bending at the north Chile trench. Geology, 32 (7) (2004), pp. 549-552,

[55] J. Ridley. Evidence of a Temperature-Dependent Blueschist to Eclogite Transformation in High-Pressure Metamorphism of Metabasic Rocks. J. Petrol., 25 (1984), pp. 852-870,

[56] F.R. Schilling, S.V. Sinogeikin, J.D. Bass. Single-crystal elastic properties of lawsonite and their variation with temperature. Phys. Earth Planet. Inter., 136 (2003), pp. 107-118,

[57] M.W. Schmidt, S. Poli. Experimentally based water budgets for dehydrating slabs and consequences for arc magma generation. Earth Planet. Sci. Lett., 163 (1998), pp. 361-379,

[58] M.W. Schmidt, S. Poli. Devolatilization During Subduction. D.H. Heinrich, K.T. Karl (Eds.), Treatise on Geochemistry (Second Edition), E-Publishing Inc, New York (2014), pp. 669-701

[59] Q. Shan, W. Xiang, L. Jun, L. Jing, W. Zi-Yu, L. Xiao-Dong, L. An-Huai. Compressibility of Epidote up to 20 GPa at 298 K. Chin. Phys. Lett., 20 (2003), pp. 1172-1174,

[60] T.-R.-A. Song, D.V. Helmberger, M.R. Brudzinski, R.W. Clayton, P. Davis, X. Pérez-Campos, S.K. Singh. Subducting Slab Ultra-Slow Velocity Layer Coincident with Silent Earthquakes in Southern Mexico. Science, 324 (2009), pp. 502-506,

[61] R.J. Stern. Subduction zones. Rev. Geophys., 40 (2002), Article 3–1-3-38,

[62] R.G.J. Strens. Some Relationships between Members of the Epidote Group. Nature, 198 (1963), pp. 80-81,

[63] C. Su, Y. Liu, D. Fan, W. Song, G. Yang. Self-consistent thermodynamic parameters of pyrope and almandine at high-temperature and high-pressure conditions: Implication on the adiabatic temperature gradient. Phys. Earth Planet. Inter., 322 (2022), Article 106789,

[64] E.M. Syracuse, G.A. Abers, K. Fischer, L. MacKenzie, C. Rychert, M. Protti, V. González, W. Strauch. Seismic tomography and earthquake locations in the Nicaraguan and Costa Rican upper mantle. Geochem. Geophys. Geosyst., 9 (2008), p. Q07S08,

[65] E.M. Syracuse, P.E. van Keken, G.A. Abers. The global range of subduction zone thermal models. Phys. Earth Planet. Inter., 183 (2010), pp. 73-90,

[66] Y. Tsuji, J. Nakajima, A. Hasegawa. Tomographic evidence for hydrated oceanic crust of the Pacific slab beneath northeastern Japan: Implications for water transportation in subduction zones. Geophys. Res. Lett., 35 (2008), p. L14308,

[67] T. Tsujimori, T. Itaya. Blueschist-facies metamorphism during Paleozoic orogeny in southwestern Japan: Phengite K-Ar ages of blueschist-facies tectonic blocks in a serpentinite melange beneath early Paleozoic Oeyama ophiolite. Isl. Arc, 8 (2002), pp. 190-205,

[68] T. Tsujimori, J.G. Liou. Eclogite-Facies Mineral Inclusions in Clinozoisite from Paleozoic Blueschist, Central Chugoku Mountains, Southwest Japan: Evidence of Regional Eclogite-Facies Metamorphism. Int. Geol. Rev., 47 (2010), pp. 215-232,

[69] X. Wang, T. Chen, X. Qi, Y. Zou, J. Kung, T. Yu, Y. Wang, R.C. Liebermann, B. Li. Acoustic travel time gauges for in-situ determination of pressure and temperature in multi-anvil apparatus. J. Appl. Phys., 118 (2015), Article 065901,

[70] Z.C. Wang, S.C. Ji. Elasticity of six polycrystalline silicate garnets at pressure up to 3.0 GPa. Am. Mineral., 86 (2001), pp. 1209-1218,

[71] J. Wang, Z. Mao, F. Jiang, T.S. Duffy. Elasticity of single-crystal quartz to 10 GPa. Phys. Chem. Miner., 42 (2014), pp. 203-212,

[72] D.J. Wang, L.B. Wang, R. Zhang, N. Cai, J.K. Zhang, P. Chen, Y. Cao. Mantle wedge water contents estimated from ultrasonic laboratory measurements of olivine-antigorite aggregates. Geophys. Res. Lett., 49 (2022), Article e2022GL098226,

[73] X. Wang, D. Zhao, H. Suzuki, J. Li, A. Ruan. Eclogitization of the Subducted Oceanic Crust and Its Implications for the Mechanism of Slow Earthquakes. Geophys. Res. Lett., 44 (2017), pp. 12125-112132,

[74] J. Zhang, B. Li, W. Utsumi, R.C. Liebermann. In situ X-ray observations of the coesite stishovite transition: Reversed phase boundary and kinetics. Phys. Chem. Miner., 23 (1996), pp. 1-10,

[75] D. Zhao, K. Yamashita, G. Toyokuni. Tomography of the 2016 Kumamoto earthquake area and the Beppu-Shimabara graben. Sci Rep, 8 (2018), p. 15488,

[76] Y. Zou, T. Irifune, S. Gréaux, M.L. Whitaker, T. Shinmei, H. Ohfuji, R. Negishi, Y. Higo. Elasticity and sound velocities of polycrystalline Mg3Al2(SiO4)3 garnet up to 20 GPa and 1700 K. J. Appl. Phys., 112 (2012), Article 014910,