- Open Access
Numerical modeling of trace element transportation in subduction zones: implications for geofluid processes
© Ikemoto and Iwamori; licensee Springer. 2014
- Received: 29 November 2013
- Accepted: 24 March 2014
- Published: 30 April 2014
This study presents the first numerical model for trace element transportation associated with dehydration and fluid migration from the subducting slab and aims to incorporate both fluid dynamical processes (e.g., flow mode and mass fluxes) in subduction zones and associated geochemical evidence (e.g., chemical compositions of arc lavas). The model includes temperature and flow structures associated with slab subduction and mantle-fluid two-phase flow, as well as phase relations of hydrous phases (e.g., dehydration-hydration reactions and melting) and trace element partitioning among the phases (solid, aqueous fluid, and melt). The model calculations show that if instantaneous chemical equilibrium is achieved associated with porous flow of slab-derived fluid, the elements expelled with the ascending fluid (e.g., Pb) are absorbed into the down-going hydrated mantle layer developed above the slab. As a result, these elements are considerably depleted in the resultant magma generated by fluid-flux melting in the core part of the mantle wedge, and it therefore fails to reproduce the geochemical characteristics of arc lavas. In contrast, if disequilibrium element transport (e.g., associated with channel flow) is assumed when the hydrated mantle layer liberates the fluid, then the key elements are delivered to the melting region to reproduce certain arc lava signatures. These results suggest that disequilibrium fluid transport in the wedge mantle, such as through channels, plays an important role in element cycling in subduction zones.
- Arc magma
- Numerical modeling
- Trace element
Subduction zones are one of the most tectonically active sites on Earth and are associated with remarkable amounts of material and energy transport. For example, it is believed that arc volcanism is derived from a combination of solid flow in the mantle wedge and fluid flow originating from the subducting slab. The slab-derived fluid (hereafter referred to as slab-fluid) migrates upwards in relation to buoyancy due to the density contrast and significantly reduces the melting temperature of the overlying mantle wedge by several hundred degrees with an input of some thousands parts per million H2O (e.g., Green 1973; Iwamori 1998). Slab-fluid can also have chemical impact and is believed to metasomatize and enrich the wedge in incompatible elements. This process may explain the characteristic composition of arc magma, as well as the continental crust (e.g., relative Nb depletion and Pb positive spike in spidergram; Tatsumi and Eggins 1995). In addition, recent studies have indicated that slab dehydration and mantle metasomatism in subduction zones could lead to global mantle isotopic heterogeneity through fractionation between parent-daughter elements, e.g., Rb-Sr, Sm-Nd, and U-Th-Pb (Iwamori and Albarède 2008).
In order to quantify the potential importance of such element transport in subduction zones, the trace element and isotopic composition of subducted materials, slab-fluids, mantle wedge, and arc volcanic rocks have been extensively studied, involving elemental partitioning during dehydration and melting (e.g., Ishikawa and Nakamura 1992; Ayers 1998; Plank and Langmuir 1998; Pearce et al. 2005; Nakamura et al. 2008; Kimura et al. 2009). Such studies assume a simple configuration for the fluid and element transport and use a box model for the subducted slab material, mantle wedge, and volcanic rocks, with prescribed elemental fluxes among the ‘boxes.’
Fluid dynamical approaches can be complementary to the geochemical approaches mentioned above and have been constructed to quantitatively examine the fluid generation-migration and resultant melting in the mantle wedge (e.g., Iwamori 19982007; Arcay et al. 2005; Cagnioncle et al. 2007; Hebert et al. 2009). Such numerical models provide constraints on the fluid fraction, migration velocity, and degree of melting that have been compared with the seismic velocity structures (Iwamori and Zhao 2000; Nakajima et al. 2005; Tonegawa et al. 2008). However, elemental transport has not been incorporated into those fluid dynamical models, and consequently, the actual mechanism for elemental transport has not been addressed.
In this study therefore, we combine geochemical and fluid dynamical approaches. The pioneering works of Spiegelman and McKenzie (1987) and McKenzie and O´Nions (1991) gave an analytical expression of the elemental fluxes associated with fluid flow interacting with the convecting solid in the mantle wedge, providing an idealized two-phase flow system that assumes a constant fluid fraction and partition coefficient. However, the study presented here includes a more realistic model setup, which allows a variable fluid fraction and partition coefficient based on a numerical two-phase flow model (Iwamori 1998) and recent knowledge of trace element partitioning between solid, melt, and aqueous fluid (e.g., Green et al. 2000; Kessel et al. 2005; Kimura et al. 2009). In addition, it is also the first numerical model to integrate a thermal flow structure, H2O-bearing phase relations (including dehydration and melting reactions), and the transport of trace elements associated with fluid flow in subduction zones. Through this model, we aim to understand the elemental cycling and solid-fluid flow beneath arcs based on acquired geochemical data.
In order to examine the chemical processes in subduction zones, we developed a numerical model for fluid processes based on Iwamori (1998). In this model, the phases present (aqueous fluid, melt, and solid) and the amount of H2O in each phase are calculated based on parameterized phase relationships and H2O solubility (Iwamori 19982007).
The constant velocity and angle of a subducting slab are assumed to drive the circulation of solids in the mantle wedge by the process of dragging; for simplicity, mantle rheology is assumed to be isoviscous. Due to the density contrast and the solid flow, aqueous fluid is assumed to migrate as porous flow along the solid grain boundaries according to the pressure gradient, and if the water content is higher than the maximum water content, excess water is allocated to aqueous fluid. Melt is assumed to migrate with solid, and if the melt fraction exceeds 2 wt.%, the excess melt is assumed to be instantaneously extracted from the mantle (Iwamori and Zhao 2000; Nakajima et al. 2005; Zhu et al. 2013). In this model, the melt fraction depends on the water fraction, temperature, and pressure, but not on the degree of mantle depletion (i.e., major element composition) due to melt extraction, and this assumption is likely to result in an overestimate for the amount of produced melt; the validity of this will therefore be examined later. Water partitioning between solid and melt is assumed to reach equilibrium instantaneously, with a constant partition coefficient of 0.01 (Aubaud et al. 2008; Kohn and Grant 2006). The energy transported by the aqueous fluid and energy for phase transformation related to hydration and dehydration are neglected.
For phase i (m = melt, s = solid, a = aqueous fluid), ρ i is density, ϕ i is the volume fraction, v i is the velocity vector, is the concentration of H2O, and t is time. In Equation 1 for the local bulk system (b = m + s + a), ρ b is the average density and is the average concentration of H2O. Although the aqueous fluid dissolves a significant amount of silicate components in the pressure and temperature range of interest (Nakamura and Kushiro 1974; Fujii et al. 1997), (aqueous fluid) is assumed to be unity. In Equations 2 and 3 for the solid flow, Ψ is the stream function. In Equation 4 for the flow of aqueous fluid (McKenzie 1984), is the permeability, η a is the viscosity, Δρ a is ρ s − ρ a , g is the acceleration due to gravity, R is the radius of the solid grain, and n and B are the constants (n = 3 and B = 103 are assumed after McKenzie (1984)). Although this formulation neglects viscous force in relation to compaction of the solid matrix and its associated nonlinear behavior (e.g., solitary porosity wave), it gives a reasonable estimate for the fluid velocity when the compaction length is small, which is considered likely to be the case with mantle melting (McKenzie 1984; Scott and Stevenson 1984). is the partition coefficient of water between solid and melt. C p i is the heat capacity at constant pressure, α i is the thermal expansion coefficient, ΔS is the entropy change associated with melting, and K is the thermal conductivity. For these constants, we set ρ s = ρ m = ρ b = 3.5 × 103kg m− 3, ρ a = 1.0 × 103kg m− 3, Δρ a = 2.3 × 103kg m− 3, Δη a = 10− 3Pa s, g = 9.8m s− 2, R = 1.0 × 10− 3m, α s = α m = 2.4 × 10− 5K− 1, ΔS = 3.5 × 102J kg− 1K− 1, K = 1.0 × 10− 6m2s− 1, C p s = C p m = 1.2 × 103J kg− 1K− 1 (Iwamori 1998).
where is the composition of element X in phase i, is the partition coefficient between solid and melt, and is the partition coefficient between solid and aqueous fluid. Since elemental diffusion has a significantly smaller effect than the representative velocity of advective transport (e.g., Iwamori 1998), it has been neglected here. We calculate a bulk partition coefficient using an individual mineral-fluid and mineral-melt partition coefficients and the modal composition of minerals (Ayers and Watson 1993; Ayers et al. 1997; Kogiso et al. 1997; Green et al. 2000; Green and Adam 2003; Feineman et al. 2007; Usui et al. 2007; Kimura et al. 2009), together with their temperature dependence for garnet, clinopyroxene, orthopyroxene, chlorite, and amphibole (Garrido et al. 2005; Kessel et al. 2005; Moyen and Stevens 2006; Kimura et al. 20092010). We then calculate the modal compositions of minerals for the mantle based on Kimura et al. (20092010), as a function of pressure and temperature.
The thermal boundary conditions used in this study are as follows: At the vertical boundaries of the model box, the temperature depth profile is fixed in terms of time. In order to simulate subduction of the Pacific Plate beneath northeast (NE) Japan, a geotherm for the plate age of 130 million years (Myr) is applied to the oceanic side boundary, based on the one-dimensional cooling model of semi-infinite half-space (Turcotte and Shubert 1982) with an initial potential temperature of 1,350°C (Parsons and Sclater 1977). Similarly, in order to reproduce the thermal condition beneath the Japan Sea, the geotherm for an oceanic plate of 7.5 Myr is used for the vertical boundary of the back-arc side, based on geothermometer with mantle-crust xenoliths Takahashi (1978). No heat conduction is assumed at the bottom boundary, whereas the surface is fixed at 0°C.
The boundary conditions concerning water are as follows: The top and left side of the box are permeable for fluid flow. For the subducting slab, the upper boundary allows permeable flow from the dehydrating slab and the water content on the oceanic side boundary is fixed, serving as a water source into the calculated system. The H2O content of the subducting oceanic crust is assumed to be 3 wt.% (Rüpke et al. 2004) but is assumed to be zero under the oceanic crust, i.e., a dry peridotite for the subducting lithosphere (Iidaka and Suetsugu 1992; Kawakatsu and Yoshioka 2011).
We set a constant trace element composition on the oceanic side boundary (as with water), which consists of oceanic crust composed of altered oceanic crust (Kelley et al. 2003) and a depleted MORB mantle (DMM) (Workman and Hart 2005). The mantle composition flowing into the wedge is also assumed to have a DMM composition, while we neglect the composition of the arc crust because chemical reactions within the arc crust are not considered in this model. Other boundaries are permeable in terms of the elemental fluxes associated with both solid and fluid flows.
Results and discussion
Water transport and melting
When the melt is generated, H2O is preferentially partitioned into it, up to 25 wt.% under PT conditions in the mantle wedge (Iwamori 1998). If melt extraction occurs, the H2O contained in the melt is also extracted from a rock packet, which increases the solidus temperature and suppresses subsequent melting of the rock packet. This suppression is seen in Figure 2d (the melting region (A) in Figure 2d), where melt is extracted along the nearly horizontal streamline (from left to right along the dotted lines in Figure 2d) consisting of an initially dry solid. No subsequent melting occurs along the streamline towards the wedge corner. Exceptionally, the rock packet melts when it is significantly hydrated within an aqueous fluid column with an H2O content of 0.2 wt.% (melting region (B) in Figure 2d). As will be shown later, the melt compositions in (A) and (B) of Figure 2d are distinct, reflecting the difference in the melting conditions: (A) exhibits a higher temperature, lower water content, and lower melting degree; and (B) has a lower temperature, higher water content, and higher melting degree. It is noted that the melting degree, which is not shown, differs from the information presented in Figure 2d, which shows melt fraction present in each rock packet. Considering the geometry of the streamlines (dotted lines in Figure 2d), (B) in Figure 2d corresponds to the remelting of the residue from the melting in (A) of Figure 2d, which results in the higher melting degree in (B).
In the additional file, we present an additional calculation in which we incorporate the effects of mantle depletion in the major elements, by integrating the melt extraction and by calculating the subsequent melting according to the degree of depletion. Additional file 1: Figure S1 shows that the overall melting structure remains essentially the same, even when the effects of mantle depletion in major elements are taken into account (cf. Figure 2c). The following discussions will therefore be based on the model results, without incorporating the ‘major element depletion effects’ as in Figure 2.
Trace element composition of magma
The other pattern is not smooth and consists of generally low abundances (orange lines in Figure 3), in particular the relative depletion of Nb and Ta and the relative enrichment of Rb, which reflects the higher degree of melting of a source that has been affected by both prior melt extraction and concurrent fluid addition in region (B) (Figure 2b). These melt compositions, as well as the direct inspection of fluid compositions in the numerical results, show that the aqueous fluids added to regions (A) and (B) are very diluted in terms of trace element abundances (except for the relative enrichment of Rb that affects the source region (B) where the overall trace element abundances in the solid have already been lowered by prior melt extraction). The reason for the extreme dilution of the aqueous fluids generated at point <3> of Figure 1 is investigated in detail below.
The thickness of the material boundary layer that absorbs a specific element depends on the concentration and the partition coefficient of the specific element. For example, Rb requires a thicker layer of 30 km in order to be absorbed, compared with that of Sr which requires a layer of 15 km in thickness. These material boundary layers absorb the fluid-mobile elements, resulting in no relative enrichment of elements, which characterizes the arc magmas, for the model melt (Figure 3). This leads us to consider that if fluid migration occurs in a chemical disequilibrium with the surrounding solid mantle, these elements could reach a melting region that fertilizes the resultant melt. Iwamori and Nakakuki (2013) demonstrate that the seismic velocity structures beneath the NE Japan arc, in terms of variability within the ΔVp-ΔVs relationship, correspond to the existence of a fracture system in the mantle wedge, and it is known that fluids in such a fracture system have a reduced contact area with the surrounding mantle, possibly resulting in chemical disequilibrium due to slow elemental diffusion in the solid (Iwamori 1993).
Although the model melts also show an abundance of heavy REEs (i.e., Y to Lu in Figure 5), these are lower than those of the observed range. The low abundances reflect the dominant involvement of garnet upon melting, because heavy REEs are preferentially absorbed into garnet (Green et al. 2000). In this model, the instantaneous melt extraction has been assumed (i.e., the chemical reactions between the melt and the solid during melt ascent have been ignored). If the melt that originated in the garnet stability field ascends with a continuous re-equilibration with the spinel peridotite at shallower depths, it is likely that the heavy REE depletion may be relaxed to some extent.
These similarities and differences in chemical compositions between the model melt and the actual lavas provide new insights as follows: The element transport in subduction zones sensitively reflects the PT condition (which controls the partition coefficients) and in order to explain the observed positive spikes of several key elements including Pb, the fluid liberated from the slab must deliver those elements to the melting regions without being significantly absorbed in the down-going mantle materials. We therefore suggest that a disequilibrium fluid transport system through channels exists, such as a fracture system in the wedge mantle. By improving the model assumption and our knowledge on the partition coefficients between fluid, melt, and solid phases, we strive to better understand the elemental cycling in subduction zones.
We are very grateful to Hitomi Nakamura, Jun-Ichi Kimura, Shyunsuke Horiuchi, and Morihisa Hamada for their considerable help in constructing the numerical model. We also thank Kenta Ueki and Masaoki Uno for their critical discussion.
- Arcay D, Tric E, Doin MP: Numerical simulations of subduction zones: effect of slab dehydration on the mantle wedge dynamics. Phys Earth Planet Inter 2005, 149: 133–153. doi:10.1016/j.pepi.2004.08.020View ArticleGoogle Scholar
- Aubaud C, Hirschmann MM, Withers AC, Hervig RL: Hydrogen partitioning between melt, clinopyroxene, and garnet at 3 GPa in a hydrous MORB with 6 wt.% H2O. Contrib Mineral Petrol 2008, 156: 607–625.View ArticleGoogle Scholar
- Ayers J: Trace element modeling of aqueous fluid–peridotite interaction in the mantle wedge of subduction zones. Contrib Mineral Petrol 1998, 132: 390–404. doi:10.1007/s004100050431View ArticleGoogle Scholar
- Ayers JC, Watson EB: Rutile solubility and mobility in supercritical aqueous fluids. Contrib Mineral Petrol 1993, 114: 321–330. doi:10.1007/BF01046535View ArticleGoogle Scholar
- Ayers JC, Dittmer SK, Layne GD: Partitioning of elements between peridotite and H2O at 2.0–3.0 GPa and 900–1100°C, and application to models of subduction zone processes. Earth Planet Sci Lett 1997, 150: 381–398. doi:10.1016/S0012–821X(97)00096–4View ArticleGoogle Scholar
- Cagnioncle AM, Parmentier EM, Elkins-Tanton LT: Effect of solid flow above a subducting slab on water distribution and melting at convergent plate boundaries. J Geophys Res 2007, 27: 425–428. doi:10.1029/2007JB004934Google Scholar
- Feineman MD, Ryerson FJ, DePaolo DJ, Plank T: Zoisite-aqueous fluid trace element partitioning with implications for subduction zone fluid composition. Chem Geol 2007, 239: 250–265. doi:10.1016/j.chemgeo.2007.01.008View ArticleGoogle Scholar
- Fujii T, Mibe K, Yasuda A: “Magma ocean did not exist?” (in Japanese). Kagaku 1997, 67: 179–183.Google Scholar
- Garrido CJ, Sánchez-Vizcaíno VL, Gómez-Pugnaire MT, Trommsdorff V, Alard O, Godard M: Enrichment of HFSE in chlorite–harzburgite produced by high-pressure dehydration of antigorite–serpentinite: implications for subduction magmatism. Geochem Geophys Geosyst 2005. doi:10.1029/2004GC000791Google Scholar
- Green DH: Experimental melting studies on a model upper mantle composition at high pressure under water-saturated and water-undersaturated conditions. Earth Planet Sci Lett 1973, 19: 37–53. doi:10.1016/0012–821X(73)90176–3View ArticleGoogle Scholar
- Green TH, Adam J: Experimentally-determined trace element characteristics of aqueous fluid from partially dehydrated mafic oceanic crust at 3.0 GPa, 650–700°C. Eur J Mineral 2003, 15: 815–830. doi:10.1127/0935–1221/2003/0015–0815View ArticleGoogle Scholar
- Green TH, Blundy JD, Adam J, Yaxley GM: SIMS determination of trace element partition coefficients between garnet, clinopyroxene and hydrous basaltic liquids at 2–7.5 GPa and 1080–1200°C. Lithos 2000, 53: 165–187. doi:10.1016/S0024–4937(00)00023–2View ArticleGoogle Scholar
- Hebert LB, Antoshechkina P, Asimow P, Gurnis M: Emergence of a low-viscosity channel in subduction zones through the coupling of mantle flow and thermodynamics. Earth Planet Sci Lett 2009, 278: 243–256. doi:10.1016/j.epsl.2008.12.013View ArticleGoogle Scholar
- Iidaka T, Suetsugu D: Seismological evidence for metastable olivine inside a subducting slab. Nature 1992, 356: 593–595. doi:10.1038/356593a0View ArticleGoogle Scholar
- Ishikawa T, Nakamura E: Boron isotope geochemistry of the oceanic crust from DSDP/ODP Hole 504B. Geochim Cosmochim Acta 1992, 56: 1633–1639. 10.1016/0016-7037(92)90230-GView ArticleGoogle Scholar
- Iwamori H: A model for disequilibrium mantle melting incorporating melt transport by porous and channel flows. Nature 1993, 366: 734–737. doi:10.1038/366734a0View ArticleGoogle Scholar
- Iwamori H: Transportation of H2O and melting in subduction zones. Earth Planet Sci Lett 1998, 160: 65–80. doi:10.1016/S0012–821X(98)00080–6View ArticleGoogle Scholar
- Iwamori H: Transportation of H2O beneath the Japan arcs and its implications for global water circulation. Chem Geol 2007, 239: 182–198. doi:10.1016/j.chemgeo.2006.08.011View ArticleGoogle Scholar
- Iwamori H, Albarède F: Decoupled isotopic record of ridge and subduction zone processes in oceanic basalts by independent component analysis. Geochem Geophys Geosyst 2008. doi:10. 2007GC001753Google Scholar
- Iwamori H, Nakakuki T: Fluid processes in subduction zones and water transport to the deep mantle. In Physics and chemistry of the deep earth. Edited by: Karato S. Amsterdam: Elsevier; 2013.Google Scholar
- Iwamori H, Zhao D: Melting and seismic structure beneath the northeast Japan arc. Geophys Res Lett 2000, 27: 425–428. doi:10.1029/1999GL010917View ArticleGoogle Scholar
- Kawakatsu H, Yoshioka S: Metastable olivine wedge and deep dry cold slab beneath southwest Japan. Earth Planet Sci Lett 2011, 303: 1–10. doi:10.1016/j.epsl.2011.01.008View ArticleGoogle Scholar
- Kelley KA, Plank T, Ludden J, Staudigel H: Composition of altered oceanic crust at ODP Sites 801 and 1149. Geochem Geophys Geosyst 2003. doi:10.1029/2002GC000435Google Scholar
- Kessel R, Schmidt MW, Ulmer P, Pettke T: Trace element signature of subduction-zone fluids, melts and supercritical liquids at 120–180 km depth. Nature 2005, 437: 724–727. doi:10.1038/nature03971View ArticleGoogle Scholar
- Kimura JI, Stern RJ: Neogene volcanism of the Japan island arc: the K-h relationship revisited. In Ores and orogenesis: circum-Pacific tectonics, geologic evolution, and ore deposits. Edited by: Spencer JE, Titley SR. Tucson: Arizona Geological Society; 2009.Google Scholar
- Kimura JI, Yoshida T: Contributions of slab fluid, mantle wedge and crust to the origin of Quaternary lavas in the NE Japan arc. J Petrol 2006, 47: 2185–2232. doi:10.1093/petrology/egl041View ArticleGoogle Scholar
- Kimura JI, Hacker BR, van Keken PE, Kawabata H, Yoshida T, Stern RJ: Arc Basalt Simulator version 2, a simulation for slab dehydration and fluid-fluxed mantle melting for arc basalts: modeling scheme and application. Geochem Geophys Geosyst 2009. doi:10.1029/2008GC002217Google Scholar
- Kimura JI, Kent AJR, Rowe MC, Katakuse M, Nakano F, Hacker BR, van Keken PE, Kawabata H, Stern RJ: Origin of cross-chain geochemical variation in Quaternary lavas from the northern Izu arc: using a quantitative mass balance approach to identify mantle sources and mantle wedge processes. Geochem Geophys Geosyst 2010. doi:10.1029/2010GC003050Google Scholar
- Kogiso T, Tatsumi Y, Nakano S: Trace element transport during dehydration processes in the subducted oceanic crust: 1. Experiments and implications for the origin of ocean island basalts. Earth Planet Sci Lett 1997, 148: 193–205. doi:10.1016/S0012–821X(97)00018–6View ArticleGoogle Scholar
- Kohn SC, Grant KJ: The partitioning of water between nominally anhydrous minerals and silicate melts. Rev Mineral Geochim 2006, 62: 231–241. doi:10.2138/rmg.2006.62.10View ArticleGoogle Scholar
- McKenzie DP: Speculations on the consequence and causes of plate motions. Geophys J R Astron Soc 1969, 18: 1–32. doi:10.1111/j.1365–246X.1969.tb00259.xView ArticleGoogle Scholar
- McKenzie D: The generation and compaction of partially molten rock. J Petrol 1984, 25: 713–765. 10.1093/petrology/25.3.713View ArticleGoogle Scholar
- McKenzie D, O´Nions RK: Partial melt distributions from inversion of rare earth element concentrations. J Petrol 1991, 32: 1021–1091. 10.1093/petrology/32.5.1021View ArticleGoogle Scholar
- Moyen JF, Stevens G: Experimental constraints on TTG petrogenesis: implications for Archean geodynamics. In Archean geodynamics and environments. Volume 164. Edited by: Been K, Mareschal JC, Condie KC. Washington: American Geophysical Union; 2006:149–175.View ArticleGoogle Scholar
- Nakajima J, Takei Y, Hasegawa A: Quantitative analysis of the inclined low-velocity zone in the mantle wedge of northeastern Japan: a systematic change of melt-filled pore shapes with depth and its implications for melt migration. Earth Planet Sci Lett 2005, 234: 59–70. doi:10.1016/j.epsl.2005.02.033View ArticleGoogle Scholar
- Nakamura Y, Kushiro I: Composition of the gas phase in Mg2SiO4–SiO2–H2O at high pressures. Carnegie Inst Washington Yearb 1974, 73: 266–268.Google Scholar
- Nakamura H, Iwamori H, Kimura JI: Geochemical evidence for enhanced fluid flux due to overlapping subducting plates. Nat Geosci 2008, 1: 380–384. doi:10.1038/ngeo290View ArticleGoogle Scholar
- Parsons B, Sclater JG: An analysis of the variation of ocean floor bathymetry and heat-flow with age. J Geophys Res 1977, 82: 803–827. doi:10.1029/JB082i005p00803View ArticleGoogle Scholar
- Pearce JA, Stern RJ, Bloomer SH, Fryer P: Geochemical mapping of the Mariana arc-basin system: implications for the nature and distribution of subduction components. Geochem Geophys Geosyst 2005. doi:10.1029/2004GC000895Google Scholar
- Plank T, Langmuir CH: The chemical composition of subducting sediment and its consequences for the crust and mantle. Chem Geol 1998, 145: 325–394. doi:10.1016/S0009–2541(97)00150–2View ArticleGoogle Scholar
- Rüpke LH, Morgan JP, Hort M, Connolly JAD: Serpentine and the subduction zone water cycle. Earth Planet Sci Lett 2004, 223: 17–34. doi:110.1016/j.epsl.2004.04.018View ArticleGoogle Scholar
- Scott DR, Stevenson DJ: Magma solitons. Geophys Res Lett 1984, 11: 1161–1164. doi:10.1029/GL011i011p01161View ArticleGoogle Scholar
- Spiegelman M, McKenzie D: Simple 2-D models for melt extraction at mid-ocean ridges and island arcs. Earth Planet Sci Lett 1987, 83: 137–152. doi:10.1016/0012–821X(87)90057–4View ArticleGoogle Scholar
- Syracuse EM, van Keken PE, Abers GA: The global range of subduction zone thermal models. Phys Earth Planet Inter 2010, 183: 73–90. doi:10.1016/j.pepi.2010.02.004View ArticleGoogle Scholar
- Takahashi E: Petrologic model of the crust and upper mantle of the Japanese island arcs. Bull Volcanol 1978, 41: 529–547. 10.1007/BF02597385View ArticleGoogle Scholar
- Tatsumi Y, Eggins S: Subduction-zone magmatism. Cambridge: Blackwell; 1995.Google Scholar
- Tonegawa T, Hirahara K, Shibutani T, Iwamori H, Kanamori H, Shiomi K: Water flow to the mantle transition zone inferred from a receiver function image of the Pacific slab. Earth Planet Sci Lett 2008, 274: 346–354. doi:10.1016/j.epsl.2008.07.046View ArticleGoogle Scholar
- Turcotte DL, Shubert G: Geodynamics: applications of continuum physics to geological problems. New York: Wiley; 1982.Google Scholar
- Usui T, Kobayashi K, Nakamura E, Helmstaedt H: Trace element fractionation in deep subduction zones inferred from a lawsonite-eclogite xenolith from the Colorado Plateau. Chem Geol 2007, 239: 336–351. doi:10.1016/j.chemgeo.2006.08.009View ArticleGoogle Scholar
- van Keken PE, Kiefer B, Peacock SM: High-resolution models of subduction zones: implications for mineral dehydration reactions and the transport of water into the deep mantle. Geochem Geophys Geosyst 2002. doi:10.1029/2001GC000256Google Scholar
- Workman RK, Hart SR: Major and trace element composition of the depleted MORB mantle (DMM). Earth Planet Sci Lett 2005, 231: 53–72. doi:10.1016/j.epsl.2004.12.005View ArticleGoogle Scholar
- Zhu GZ, Gerya TV, Tackley PJ, Kissling E: Four-dimensional numerical modeling of crustal growth at active continental margins. J Geophys Res 2013, 118: 4682–4698. doi:10.1002/jgrb.50357View ArticleGoogle Scholar
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