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Journal of Petrology Advance Access originally published online on June 6, 2008
Journal of Petrology 2008 49(7):1319-1342; doi:10.1093/petrology/egn027
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Generation of Rear-arc Magmas Induced by Influx of Slab-derived Supercritical Liquids: Implications from Alkali Basalt Lavas from Rishiri Volcano, Kurile Arc

Takeshi Kuritani1,2,*, Tetsuya Yokoyama1,{dagger} and Eizo Nakamura1

1The Pheasant Memorial Laboratory for Geochemistry and Cosmochemistry, Institute for study of the earth's interior, Okayama University, Misasa, Tottori 682-0193, Japan
2Department of Earth and Planetary Materials Science, Graduate School of Science, Tohoku University, Sendai, Miyagi 980-8578, Japan

RECEIVED SEPTEMBER 13, 2007; ACCEPTED MAY 1, 2008


    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Magma generation processes were investigated for alkali basalt lavas from Rishiri Volcano, located at the rear of the Kurile arc, using major and trace elements and Sr, Nd, Pb and Th isotopic data. The Numaura and the Araragiyama lava flows, investigated in this study, show a significant variation in TiO2 contents (1· 0–1· 4 wt %) despite a limited variation in SiO2 content (48·5–50·0 wt %); TiO2 contents correlate positively with 143Nd/144Nd and negatively with 87Sr/86Sr, 206Pb/204Pb, 207Pb/204Pb and 208Pb/204Pb. The compositional variations of the lavas cannot be explained by magma chamber processes, such as fractional crystallization, crustal assimilation and magma mixing, and they are suggested to have formed principally during magma generation. The variation of the TiO2 contents essentially reflects a variation of the degree of partial melting (from ~2 to ~3%) of the source mantle, and it is inferred that the melting degree correlated positively with amounts of slab-derived materials influxed into the melting region. The melting appears to have occurred progressively under isothermal and isobaric conditions, as slab-derived materials were continuously supplied. The geochemical variations in the lavas can be explained by mixing of depleted mid-ocean ridge basalt source mantle with slab-derived materials consisting of an altered oceanic crust component and a sediment component. The slab-derived materials are likely to have contained not only Sr, Ba, Pb and U, but also significant amounts of Nd and Th that are not highly soluble in aqueous fluids. The materials are thus suggested to have been supercritical liquids, and it is suggested that magma generation occurred at depths greater than that at which supercritical liquids were decomposed into aqueous fluid and silicate melt components. The lava samples show 238U–230Th disequilibrium with 10–20% of 230Th excess; this 230Th enrichment resulted primarily from the high-Th nature of the slab-derived materials.

KEY WORDS: flux melting; rear-arc magmas; slab-derived materials; supercritical liquids; 230Th excesses


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Materials and energy have been continuously transported from the Earth's interior by magmatism throughout Earth's evolution, and convergent margins have been one of the most important tectonic settings for such transport. There is now a consensus that water-rich materials released from the subducting slab play a fundamental role in the generation of arc magmas (e.g. Gill, 1981Go). However, debate has continued about the details of subduction-zone processes, such as the nature and chemical compositions of slab-derived materials, processes and time-scales of material transport from the slab to the source mantle, the relative importance of decompression melting to fluid-fluxed melting, and so on (e.g. Elliott et al., 1997Go; Sisson & Bronto, 1998Go; Turner et al., 2000Go; Grove et al., 2002Go; Thomas et al., 2002Go; Bourdon et al., 2003Go; Manning, 2004Go; Portnyagin et al., 2007Go).

To assess these issues, field-based constraints, supported by high-quality geochemical data, have been accumulated by approaches such as studies on the origin of across-arc and along-arc variations in a number of volcanic arc systems (e.g. Sakuyama & Nesbitt, 1986Go; Ishikawa & Nakamura, 1994Go; Ryan et al., 1995Go; Hoogewerff et al., 1997Go; Taylor & Nesbitt, 1998Go; George et al., 2003Go; Kimura & Yoshida, 2006Go; Portnyagin et al., 2007Go) and investigations of magma genesis on lavas from a single volcano (e.g. Clark et al., 1998Go; Grove et al., 2002Go; Yokoyama et al., 2003Go; Handley et al., 2007Go). However, detailed studies on rear-arc lavas are still scarce, partly because the number of rear-arc volcanoes is limited owing to lower magma production rates in the rear-arc side than along the volcanic front. On the basis of observed correlations between magma chemistries and depths to the slab surface, it has been suggested that contributions of slab-derived materials to the generation of rear-arc magmas are significantly lower than those of the arc front magmas (e.g. Ishikawa & Nakamura, 1994Go); however, the magma generation processes are still not well understood (Turner et al., 2003Go). Generation of rear-arc magmas represents one end-member of arc magmatic processes. Therefore, rear-arc lavas have the potential to provide important information for general understanding of subduction-zone processes.

In this study, we investigate magma generation processes for alkali basalt lavas from Rishiri Volcano, located towards the rear of the Kurile arc system (in this paper we use the term ‘rear-arc’ to distinguish the setting of Rishiri Volcano from others in true back-arc basins, distinguished by rifting or spreading, such as the Marianas Trough or Lau Basin). The depth to the subducting slab is ~300 km, and it is known that the Rishiri lavas have chemistries that are characteristic of island arc magmas (Nakamura et al., 1985Go; Shibata & Nakamura, 1997Go; Kuritani et al., 2005Go). Therefore, they can provide useful information on the generation processes of rear-arc magmas. Petrological descriptions of the lavas investigated in this study have already been given by Ishizuka & Nakagawa (1999Go). However, they mainly focused on the overall petrological evolution of the volcano. In this study, we examine magma generation processes in detail, including the relative contribution of fluid-fluxed melting to decompression melting, the coupling of geochemical components (i.e. depleted source mantle, subducted altered oceanic crust, and subducted sediment) in primary magmas, and the nature of the slab-derived materials. The origin of 230Th excesses observed in the lavas is also discussed.


    GEOLOGICAL SETTING
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Rishiri Island belongs to the Kurile arc, and is ~300 km above the Wadati–Benioff Zone (Fig. 1). The geology of Rishiri Volcano, mainly consisting of Quaternary alkali basalt and calc-alkaline andesite, has been described in detail by Kobayashi (1987Go) and Ishizuka (1999Go). The volcanic activity was divided into Early, Middle, and Late stages by Ishizuka (1999Go). Volcanic products of the Early stage are mainly andesitic lavas and pyroclastic-flow deposits, and dacitic lava domes. Those of the Middle stage are lava and pyroclastic-flow deposits of calc-alkaline andesite, forming the main stratovolcano. The Late stage has been subdivided into two stages; L-1 and L-2. Volcanic products of the L-1 stage are lava flows of high Na/K alkali basalt and trachytic andesite, whereas those of the L-2 stage are mainly lava flows of low Na/K alkali basalt with minor dacitic and rhyolitic pumice-fall deposits (Ishizuka, 1999Go).


Figure 1
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Fig. 1. Index map showing the location of Rishiri Island, and a simplified geological map of the Numaura and the Araragiyama lava flows after Ishizuka (1999Go). Dashed lines in the index map indicate the depth of the Wadati–Benioff Zone (after Ishikawa & Tera, 1997Go). The bold line in the geological map indicates the location of the coast.

 
The Numaura and the Araragiyama lava flows, investigated in this study, belong to the L-2 stage and erupted sequentially from the southern flank of the volcano (Fig. 1). The Araragiyama lava flows directly cover the Numaura lava flows at the southern coast of the island, indicating that the latter predates the former. These flows are also covered partly by later L-2 stage lava flows (Ishizuka, 1999Go). Estimated volumes of the Numaura and the Araragiyama lavas (including scoria) are 0·03 km3 and 0·07 km3, respectively (Ishizuka, 1999Go). The eruption ages of the two lava flows have not been determined. However, they are much younger than ~ 20 ka, because the Tanetomi lava flows (L-1 stage), which occurred before the activity of the Numaura lava flows, have been dated at 20·2 ± 3·1 ka (Kuritani et al., 2007Go) and a soil layer is present between the Tanetomi lava flows and an overlying scoria layer of the L-2 stage (Kuritani, 1995Go). On the other hand, the Numaura and the Araragiyama lava flows are not younger than 8·2 ka, because the main activity of the L-2 stage finished by 8·2 ka (Miura, 1995Go). Considering that these flows occurred in the early L-2 stage (Ishizuka, 1999Go), the eruption ages are much older than 8·2 ka. On the basis of these constraints, in addition to the observation that the Numaura lava flows are covered directly by the Araragiyama lava flows, the time interval between the two eruptions might have been much shorter than 12 ka, although the exact time-scale and the duration of each eruption are not clear.


    ANALYTICAL METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Whole-rock major and trace element analyses, and Sr, Nd, Pb, Th and U isotopic analyses were carried out at the Pheasant Memorial Laboratory, Institute for Study of the Earth's Interior, Okayama University at Misasa (Nakamura et al., 2003Go). Samples used in this study were collected randomly from the Numaura and the Araragiyama lava flows. Trace element and isotopic analyses were undertaken under class 100 clean conditions. Rock specimens were crushed using a jaw crusher to coarse chips 3–5 mm in diameter. The chips were rinsed with deionized water in an ultrasonic bath at least three times, and then they were dried at 100°C for 12 h. The washed chips were ground using an alumina puck mill. About a half of the samples used in this study were collected from the coastal area. Therefore, to remove the effect of seawater alteration, an acid leaching step was used prior to the Sr, Nd and Pb isotope analyses for all the samples (see the Appendix). In this process, rock powders were leached with 6M HCl at 110°C for 1 h, and then they were rinsed twice with distilled water. On the other hand, so as not to cause artificial elemental fractionation, we cannot perform acid leaching for trace element analyses. Therefore, we have carefully used trace element data of samples from the coastal area (Appendix). We did not perform U and Th isotopic analyses on the coastal samples.

Concentrations of major elements, Ni and Cr were obtained by X-ray fluorescence spectrometry (XRF) on glass beads prepared by fusing with a lithium tetraborate flux (10 to 1 dilution of sample) using a Phillips PW2400 instrument (Takei, 2002Go). Trace elements were analyzed by inductively coupled plasma mass spectrometry (ICP-MS) using a quadrupole-type Yokogawa Agilent 7500cs system, by the methods of Makishima & Nakamura (2006Go) and Lu et al. (2007Go). The analytical procedures for chemical separation and mass spectrometry followed those of Yoshikawa & Nakamura (1993Go) and Makishima & Nakamura (1991Go) for Sr and Nd isotopic analyses, respectively. Isotopic ratios of these elements were determined by thermal ionization mass spectrometry (TIMS), using a Finnigan MAT 262. Internal fractionation correction used 86Sr/88Sr = 0·1194 and 146Nd/144Nd = 0·7219 as normalization factors. We corrected instrumental discrimination of the Sr and Nd isotopes by repeated analyses of standard materials during the same analytical campaign, and the corrected data were finally normalized to 87Sr/86Sr = 0·710240 for NIST SRM987 and 143Nd/144Nd = 0·511839 for La Jolla (Makishima & Masuda, 1994Go). For Pb isotopic analyses, the chemical separation method of Kuritani & Nakamura (2002Go) was followed, and isotopic compositions were measured by TIMS (Finnigan MAT 261), using the 207Pb–204Pb double spike method described by Kuritani & Nakamura (2003Go). Long-term averages of the NIST SRM981 standard in our laboratory are 206Pb/204Pb = 16·942, 207Pb/204Pb = 15·500 and 208Pb/204Pb = 36·727. Isotope analyses of U and Th were performed by TIMS (Finnigan MAT262 with RPQplus). The analytical techniques, including the procedures of sample digestion and chemical separation, were described by Yokoyama et al. (1999Go, 2001Go, 2003Go, 2006Go).

All of the major and trace element analyses were duplicated for each sample; replicate analyses always had less than 0·5% and 3–5% relative per cent difference, for major and trace elements, respectively. Analytical reproducibility (2{sigma}) for natural rock samples is typically 0·002% for 87Sr/86Sr, 0·001% for 143Nd/144Nd, 0·008%, 0·006%, and 0·006% for 206Pb/204Pb, 207Pb/204Pb, and 208Pb/204Pb, respectively, 0·33% for (230Th/232Th), 0·54% for Th concentration, 0·13% for (234U/238U), 0·64% for U concentration and 0·45% for (238U/232Th). Isotopic ratios in parentheses represent activity ratios throughout this paper. Decay constants of U and Th nuclides used for calculations in this study were {lambda}238U = 1· 55125 x 10–10, {lambda}234U = 2· 8263 x 10–6, {lambda}232Th = 4·9475 x 10–11, and {lambda}230Th = 9·158 x 10–6 (Le Roux & Glendenin, 1963Go; Jaffey et al., 1971Go; Cheng et al., 2000Go).

Compositions of olivine phenocrysts were determined using a JEOL JXA-8800 electron microprobe, located at the Institute for Study of the Earth's Interior. An accelerating voltage of 25 kV and a beam current of 20 nA were adopted, with a counting time of 100 s. Both oxide and natural mineral standards were used, and data were obtained using a ZAF correction procedure.


    PETROGRAPHY AND MINERALOGY
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Both the Numaura and the Araragiyama lavas are mostly aphyric with phenocryst contents of about 5 vol. %. The principal phenocryst phase in both lava flows is olivine. Olivine phenocrysts, up to 3 mm in diameter, are commonly euhedral and contain spinel inclusions, but olivines with skeletal morphology are also observed. Glass inclusions are rare and they are commonly small (<10 µm). Small plagioclase crystals (< 1 mm) are sparsely present. In some Araragiyama samples (TiO2 < 1· 1 wt %; shown below), relatively large amounts of plagioclase phenocrysts occur, with modal abundance of up to 2 vol. %. They are <2 mm in length, and commonly have many small glass inclusions, showing typical features of partial dissolution (Tsuchiyama, 1985Go; Nakamura & Shimakita, 1998Go).

Olivine phenocrysts are mostly homogeneous in Mg-number [100 x Mg/(Mg + Fe)] and Ni content except for the marginal part of the crystals. Figure 2 shows NiO contents of olivine phenocrysts at the crystal core, plotted against Mg-number. The Mg-number of olivine phenocrysts is in the range 84–86 and 84–87 in the Numaura and the Araragiyama lavas, respectively. It is notable that the compositions of olivine phenocrysts are close to those of upper mantle olivines (‘mantle olivine array’; Takahashi, 1986Go).


Figure 2
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Fig. 2. Compositions of olivine phenocryst cores from the Numaura and the Araragiyama lavas. The ‘mantle olivine array’ of Takahashi (1986Go) is also shown.

 

    WHOLE-ROCK COMPOSITION
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Compositions of major and trace elements and Sr, Nd and Pb isotopic ratios of representative samples of the Numaura and the Araragiyama lava flows, as well as those of some samples of the later L-2 stage lava flows, are reported in Table 1. Figure 3 shows Harker variation diagrams for some major oxides [TiO2, Fe2O3* (total Fe as Fe2O3), MgO, CaO, Na2O, P2O5] plotted against SiO2 content. MgO contents of all lavas are higher than 7· 5 wt %. Samples from the two lava flows can be discriminated clearly in the TiO2–SiO2 diagram, and the Numaura and the Araragiyama lavas are characterized by high and low TiO2 contents, respectively. With increasing SiO2 content, Na2O and P2O5 contents increase abruptly in the Numaura lava flows, whereas they are mostly constant in the Araragiyama lava flows. The Araragiyama samples containing plagioclase phenocrysts have low TiO2 contents (< 1· 1 wt %; crossed open squares in Fig. 3). The later L-2 stage lava flows have major element compositions distinctly different from those of the Numaura and the Araragiyama lava flows.


Figure 3
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Fig. 3. SiO2 variation diagrams for TiO2, Fe2O3* (total Fe as Fe2O3), MgO, CaO, Na2O and P2O5 of the Numaura and the Araragiyama lavas. TiO2-poor samples in the Araragiyama lava flows are shown as crossed open squares. Compositions of the representative samples of the L-2 stage lava flows, which erupted after the Numaura and the Araragiyama lava flows, are also shown. Major element analyses are normalized to 100 wt%.

 

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Table 1: Whole-rock compositions of Numaura lava, Araragiyama lava, and later L-2 stage lavas

 
Figure 4 shows variation diagrams for Sr, Zr and Ba plotted against SiO2 content. The Numaura lavas are more enriched in Sr than the Araragiyama lavas, and the Sr concentration of the Araragiyama samples is mostly constant irrespective of the SiO2 content. Similar to TiO2, the Zr concentrations of the Numaura samples are significantly higher than those of the Araragiyama samples. With increasing SiO2 content, the Ba content tends to decrease significantly in the Numaura lavas, whereas it increases in the Araragiyama lavas. A normal mid-ocean ridge basalt (N-MORB) normalized multi-element concentration diagram is shown in Fig. 5. The pattern is characterized by negative anomalies of Nb and Ta, and positive spikes in Pb, Sr and Li. These features are characteristic of island arc magmas.


Figure 4
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Fig. 4. SiO2 variation diagrams for Sr, Zr, Ba, 87Sr/86Sr, 143Nd/144Nd and 206Pb/204Pb. The symbols for the samples are the same as those shown in Fig. 3.

 

Figure 5
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Fig. 5. N-MORB normalized multi-element concentration diagram for representative samples of the Numaura and the Araragiyama lavas. The symbols for the samples are as in Fig. 3. Trace element concentrations of N-MORB are taken from Sun & McDonough (1989Go).

 
Variations of Sr, Nd and Pb isotopic compositions with SiO2 content are shown in Fig. 4. The isotopic compositions of the two lava flows are clearly distinctive, and the Numaura lava flows are low in 87Sr/86Sr and 206Pb/204Pb and high in 143Nd/144Nd compared with the Araragiyama lava flows. Interestingly, in the Numaura samples, 87Sr/86Sr and 206Pb/204Pb tend to decrease and 143Nd/144Nd increase with increasing SiO2 content. In contrast, in the Araragiyama samples, 87Sr/86Sr and 206Pb/204Pb correlate positively with SiO2 content.

Isotopic data for U and Th for the studied samples are listed in Table 2, and they are shown in a U–Th equiline diagram (Fig. 6). All the samples plot on the left-hand side of the equiline. The low-TiO2 Araragiyama samples have significantly lower (230Th/232Th) ratios than those of the other lava samples. In Fig. 6, compositions of basaltic lavas of the L-1 stage (Kuritani et al., 2007Go) are shown for comparison. The samples of the L-1 stage also show 230Th excesses, similar to those of the L-2 stage lavas. Although the eruption ages of the Araragiyama and the Numaura lava flows are not well constrained, the original (230Th/232Th) ratios of the lava samples are higher than the age-corrected (230Th/232Th) ratio of the L-1 stage basalt (Fig. 6).


Figure 6
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Fig. 6. U–Th equiline diagram for samples of the Numaura and the Araragiyama lavas. Analytical errors (2{sigma}) are shown. Compositions of samples of the L-1 stage basalt (Kuritani et al., 2007Go) are also plotted for comparison. The age-corrected compositions are shown for Nm-9, Nm-13, Nm-44 and the L-1 stage basalt samples. It should be noted that the eruption ages of the Numaura and the Araragiyama lava flows are unknown, but they are older than 8·2 ka and younger than 20· 2 ka.

 

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Table 2: Th and U isotopic compositions of the Numaura and the Araragiyama lavas

 

    DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
The Numaura lava flows and the Araragiyama lava flows erupted sequentially from the southern flank of the volcano during the L-2 stage. However, the geochemical characteristics of these two lava flows, such as TiO2 contents and isotopic compositions, are distinctly different (Figs 3 and 4). In the following sections, the origins of the chemical variations of these lava flows are considered. Then, magma generation processes beneath Rishiri Volcano are discussed on the basis of the geochemical data of the lavas.

Origin of the Numaura magma
Whole-rock compositions of the Numaura lava samples show tight trends, although the range of variation is limited (e.g. 48·6–49·1 wt % in SiO2). The isotopic compositions of the lava samples change systematically with major element composition (Fig. 4). Therefore, one possible process to have produced the compositional trends of the lava flow is assimilation and fractional crystallization (AFC) in a crustal magma chamber. The abrupt increase of TiO2 and Na2O contents and the decrease of MgO content with increasing SiO2 content (Fig. 3) may be consistent with processes involving extensive fractionation of mafic phases such as olivine. However, this possibility is ruled out because Ba concentration tends to decrease with SiO2 content (Fig. 4c). Although plagioclase can contain significant amounts of Ba, plagioclase fractionation cannot explain the variation of Ba, because the distribution coefficient (plagioclase/melt) for Ba does not exceed unity regardless of the anorthite content (Blundy & Wood, 1991Go). Therefore, it is unlikely that the compositional trends were produced by processes involving extensive fractional crystallization.

The AFC hypothesis is also inconsistent with the Sr isotopic variation. The 87Sr/86Sr ratio of the lava samples tends to decrease with increasing SiO2 content (Fig. 4d). If AFC was responsible for the formation of the compositional trends of the lavas, the assimilant would have had a significantly lower 87Sr/86Sr ratio than the lava samples (< ~ 0·7030). However, 87Sr/86Sr ratios of the basement rocks of the volcano and granodioritic rocks that are considered to be upper crustal materials are 0·7034 and 0·7061, respectively (Kobayashi, 1989Go; Kuritani et al., 2005Go). In addition, 87Sr/86Sr ratios of lower crustal xenoliths, including hornblende pyroxenite, hornblendite, hornblende gabbro and gabbro, range from 0·7031 to 0·7034 (Kobayashi, 1989Go). Therefore, we conclude that AFC was not the principal process to have formed the compositional trends of the lava samples.

The linear compositional variation of the lavas may be consistent with two-component mixing between a mafic magma (i.e. the least differentiated lava samples) and a felsic magma. However, if this was the case, the felsic end-member magma would have had an extremely high Na2O content (> 8 wt % when its SiO2 content was > 53 wt %) and fairly low Ba and 206Pb/204Pb. No volcanic materials with lower Ba concentration and lower 206Pb/204Pb ratio than the Numaura samples have been found in Rishiri Volcano. Therefore, the magma mixing hypothesis may also be ruled out. For these reasons, we conclude that the compositional variations of the Numaura lava flows were not produced primarily by magmatic processes in crustal magma chambers.

Origin of the Araragiyama magma
The range of the whole-rock compositional variation of the Araragiyama lava flows is somewhat larger than that of the Numaura lava flows (e.g. 48·4–50·0 wt % in SiO2), and the Araragiyama samples also form tight compositional trends. Like the Numaura samples, the Araragiyama isotopic compositions change systematically with the major element compositions (Fig. 4), which is suggestive of the formation of the trends by AFC in a crustal magma chamber. Contrasting with the Numaura lava flows, the 87Sr/86Sr ratios of the Araragiyama samples increase with SiO2 content (Fig. 4d), and this observation may be consistent with the formation of the trend by assimilation of crustal materials. The chemical variation of the lava samples is characterized by mostly constant P2O5 contents and a slight decrease of Zr concentration with increasing SiO2 content (Figs 3f and 4b). Because the distribution coefficients for these elements are lower than unity for possible fractionation phases, including Cr-rich spinel, olivine, plagioclase, clinopyroxene and hornblende, the compositional trend cannot have been formed by crystal fractionation-dominated AFC.

Next, we examine the possibility that the variation was produced by crustal assimilation-dominated AFC (the extreme case is a two-component magma mixing). In this hypothesis, the compositional variation of the Araragiyama samples was essentially produced by mixing of a low-SiO2 end-member (i.e. the least differentiated lava samples) with a high-SiO2 end-member. The high-SiO2 end-member would have had a low TiO2 content, because the TiO2 contents of the lava samples decrease abruptly with increasing SiO2 content (Figs 3a and 7a). In Fig. 7b, possible trends of olivine and hornblende fractionation are shown. The hornblende fractionation trend represents the steepest possible case (i.e. fractionation of the highest-TiO2 hornblende crystals found in Rishiri Volcano; Kobayashi, 1989Go), and therefore, the actual trend may be gentler than that shown in the figure. Although not shown, clinopyroxene and plagioclase fractionation trends are positive, similar to the olivine fractionation trend, because TiO2 is incompatible in these phases (e.g. Hauri et al., 1994Go; Bédard, 2006Go). If fractional crystallization occurred simultaneously with crustal assimilation, the assimilant composition must have been to the lower side of the lava trend, because the fractional crystallization trend cannot be steeper than the lava trend (Fig. 7b). If crystal fractionation was not involved, the assimilant composition would have been on the extrapolation of the lava trend (double circle). In any case, the assimilant must have been fairly low in TiO2 (< ~ 1 wt %) and SiO2 (< ~ 54 wt %) (Fig. 7a and b).


Figure 7
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Fig. 7. (a) SiO2 vs TiO2 for the Araragiyama lava flows, along with other lavas from Rishiri Volcano; (b) the same variation diagram in which the formation process of the Araragiyama lava trend is shown (assimilation-dominated AFC hypothesis). In (a), the data other than those for the Numaura and the Araragiyama lavas are from Kobayashi et al. (1987Go), Ishizuka & Nakagawa (1999Go), Kuritani et al. (2005Go) and Kuritani & Nakamura (2006Go). The bold dotted line shows the linear extrapolation of the trend of the Araragiyama samples (excluding the low-TiO2 samples). It should be noted that there are no SiO2-rich samples on the extrapolation. {{circ}}, Compositions of experimental partial melt of garnet-free amphibolites (Rapp & Watson, 1995Go). The degrees of melting are also indicated. In (b), the linear extrapolation of the trend of the lava samples is also shown by a dotted line. Bold continuous lines with arrowheads are olivine and hornblende fractionation trends from the least differentiated lava sample (large open square). A possible higher-SiO2 end-member (double circle) could solely be a crustal melt (no fractional crystallization case) or could be formed by the combination of the two vectors: the fractional crystallization trend and the trend caused by addition of crustal melt ({{circ}}). The compositions of the high-SiO2 end-member and crustal melt (double circle and {{circ}}) and the fractional crystallization vector are arbitrary.

 
Now we consider the possible composition of the assimilant. Because the SiO2 contents of the basement rocks and granodioritic rocks (possible upper crustal materials) exceed 60 wt % (Kobayashi et al., 1987Go; Kuritani et al., 2005Go), SiO2 contents of their partial melts would be much higher than 60 wt %, and thus, they are not a viable source for the assimilant. Some lower crustal materials beneath Rishiri Volcano have a low SiO2 content of ~ 40 wt % (hornblendite; Kobayashi et al., 1987Go). However, partial melts of hornblendite are commonly felsic (> ~ 55 wt % in SiO2) even when the degree of melting is ~ 30% (e.g. Sen & Dunn, 1994Go; Wolf & Wyllie, 1994Go; Rapp & Watson, 1995Go). Melt composition tends to decrease in SiO2 as the melting degree increases, but the melt also becomes enriched in TiO2 (Fig. 7a). In fact, TiO2 contents of the hornblendite samples from Rishiri Volcano exceed 3 wt % (Kobayashi et al., 1987Go). Therefore, it might also be difficult to form the compositional trends by crustal assimilation-dominated AFC.

In Fig. 7a, whole-rock TiO2 and SiO2 contents of other Rishiri lavas (Kobayashi et al., 1987Go; Ishizuka & Nakagawa, 1999Go; Kuritani et al., 2005Go; Kuritani & Nakamura, 2006Go) are plotted. The figure shows that there are no high-SiO2 rocks on the extrapolation of the Araragiyama trend, which may suggest that such a low-SiO2 and low-TiO2 eruptible magma cannot have been produced beneath Rishiri Volcano. We conclude therefore, that here, and also in the case of the Numaura lava flows, crustal magma chambers were not the principal site for the formation of the compositional variations.

As described above, the low-TiO2 Araragiyama samples (TiO2 < 1· 1 wt %) typically contain plagioclase phenocrysts with disequilibrium textures. This observation suggests that, for these samples (crossed open squares in Figs 3 and 4), magma mixing subsequently took place, in addition to the fundamental magma generation processes that created the primary melts. We will show below that geochemical features of these samples are consistent with the magma mixing hypothesis.

Generation of heterogeneous primary magmas
We have shown that magmatic processes in crustal magma chambers were not the main cause of producing the compositional variations of the Numaura and the Araragiyama lava flows, and it is likely that the variations resulted primarily from mantle processes. One possible process responsible for the formation of the compositional trends is interaction between the magmas and the surrounding mantle peridotite. For example, magma composition can change through reactions involving olivine and orthopyroxene (e.g. Kelemen et al., 1998Go). However, it is difficult to produce the coupling between major element compositions and isotopic compositions (Fig. 4) solely by melt–mantle interaction, because Pb concentrations, for example, in mantle peridotite are fairly low and it may not be easy to significantly modify the isotopic compositions of the melt. Thus, it is reasonable to consider that the geochemical heterogeneity of the two lava flows was produced primarily during magma generation. This consideration is further supported by geochemical features of the lavas, as shown below.

The trace element concentrations of the lava samples is characterized by relatively flat pattern for middle and heavy rare earth elements (MREE and HREE) (Fig. 5). The (Gd/Yb)sample/(Gd/Yb)MORB ratio of the lava samples is 1· 1–1· 2 [element concentrations of MORB are from Sun & McDonough (1989Go)]. If the source mantle was garnet peridotite, the (Gd/Yb)sample/(Gd/Yb)MORB ratio would be much higher than unity. For example, the (Gd/Yb)melt/(Gd/Yb)MORB ratios of batch melts of garnet peridotite can be >3 when the melting degree is lower than 20% (Kelemen et al., 2003Go). Therefore, the source mantle is considered to have been garnet-free spinel peridotite.

Figure 8 shows elemental ratios (CaO/Al2O3 and Ti/Zr) and Na2O and Ba contents of the lava samples as a function of TiO2 content. It is well known that partial melts tend to decrease in TiO2 content with increasing degree of melting of a single source mantle peridotite, and melt TiO2 content has been used as an index of the melting degree (e.g. Stolper & Newman, 1994Go; Kelley et al., 2006Go). Except for the low-TiO2 Araragiyama samples (crossed open squares), CaO/Al2O3 of the lava samples increases with decreasing TiO2 content (Fig. 8a). Because the CaO/Al2O3 ratio of a mantle-derived partial melt generally increases with increasing degree of melting of spinel peridotite (Hirose & Kushiro, 1993Go; Baker & Stolper, 1994Go; Hirose & Kawamoto, 1995Go; Wasylenki et al., 2003Go), the observed trend is consistent with the formation of the geochemical variations by a series of melting events (melting degree: Araragiyama magma > Numaura magma). This hypothesis is also supported by the increase of Ti/Zr ratio with decreasing TiO2 content (Fig. 8b) (e.g. Woodhead et al., 1993Go) and lower Na2O contents of the Araragiyama samples than those of the Numaura samples (Fig. 8c). The SiO2 contents of the lava samples initially decrease and then increase as the TiO2 content decreases (Fig. 3); such features have also been produced in melting experiments (e.g. Baker & Stolper, 1994Go). The low-TiO2 Araragiyama samples containing plagioclase phenocrysts deviate from the main trends formed by the other samples in the CaO/Al2O3–TiO2 and Ti/Zr–TiO2 diagrams (Fig. 8a and b), which may reflect magma mixing.


Figure 8
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Fig. 8. Variation of CaO/Al2O3 and Ti/Zr and Na2O and Ba contents with TiO2 contents for the lava samples.

 
On the basis of the ferric–ferrous ratio of the melts calculated using the model of Danyushevsky & Sobolev (1996Go) and an equilibrium (Fe2+/Mg)olivine/melt distribution coefficient of 0·3 (Roeder & Emslie, 1970Go), the Numaura and the Araragiyama magmas (excluding the low-TiO2 samples) could have equilibrated with olivine of Mg-number 87–88, suggesting that the magmas were differentiated from primary magmas. This is also suggested by the observation that compositions of most olivine phenocrysts have less MgO and NiO than those of the mantle olivines (Fig. 2), and by the Ni concentrations measured in the whole-rock samples. Therefore, there must have been another process, in addition to mantle melting, to produce the observed compositional range. Considering that the phenocryst phase of the two lava flows is principally olivine, olivine crystals, formed as a liquidus phase in the ascending magmas, might have been fractionated from the host magmas during the ascent to the surface. Rapid growth of olivine crystals as implied by their skeletal morphology is consistent with their crystallization during magma ascent, because rapid decompression can induce skeletal growth of crystals (Nelson & Montana, 1992Go). Calculations show that, by addition of 2–4 wt % equilibrium olivine to single lava samples, the magmas can equilibrate with mantle olivine with Mg-number > 89.

Involvement of slab-derived materials
It is widely accepted that primary arc magmas normally consist of three geochemical components; depleted MORB source mantle (DMM), altered oceanic crust (AOC) and the overlying sediment layer (SED) and associated fluids in a subducting slab (White & Dupré, 1986Go; Ellam & Hawkesworth, 1988Go; Ishikawa & Nakamura, 1994Go; Elliott, 2003Go, and references therein). In Fig. 9, Pb isotopic compositions of the lava samples (excluding the low-TiO2 Araragiyama samples), along with those of the three geochemical components, are shown. Possible compositions of the DMM (light gray field) are from Zindler & Hart (1986Go), and the AOC and the SED components of Pacific Ocean crust are taken from Hauff et al. (2003Go). The compositions of the lava samples lie within the triangular field defined by the three components, suggesting that the magmas can indeed be represented as ternary mixtures of the DMM, AOC and SED components.


Figure 9
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Fig. 9. Lead isotopic compositions of the Numaura and the Araragiyama lava flows, compared with the three geochemical components required to form arc primary magmas. The geochemical components include depleted MORB mantle (DMM), altered oceanic crust (AOC), and sediment overlying the altered oceanic crust (SED). Light gray field indicates possible DMM compositions from Zindler & Hart (1986Go). The isotopic composition of the DMM component is assumed to be 206Pb/204Pb = 17· 65, 207Pb/204Pb = 15·42 and 208Pb/204Pb = 37·38, which is close to the least radiogenic samples of the Japan Sea oceanic crust (Cousens & Allan, 1992Go). The compositions of the AOC and the SED components of Pacific Ocean are from Hauff et al. (2003Go). The AOC and the SED components constitute the end-member components of slab-derived materials (SDM). For the open-system model calculations, the Pb isotopic compositions of the SDM of 206Pb/204Pb = 18·52, 207Pb/204Pb = 15·54 and 208Pb/204Pb = 38·44 are assumed. The SiO2-rich (>49·5 wt%) Numaura samples are shown as gray squares.

 
Contributions of AOC and SED components are also suggested from other geochemical characteristics of the lava samples. The Rishiri lavas are characterized by distinctive positive Pb and Sr spikes in the trace element concentration pattern diagram (Fig. 4), which is suggestive of involvement of fluids that could have been derived mainly from AOC (e.g. Brenan et al., 1995Go; Elliott, 2003Go). The lava samples show a significant variation in Nd isotopic ratio (Fig. 4). It is recognized that Nd is not highly mobile in aqueous fluids (e.g. Brenan et al., 1995Go; Ayers et al., 1997Go). Therefore, a low 143Nd/144Nd component must have been present in addition to the AOC component. Figure 10 shows the relationship between Th/Nd and 143Nd/144Nd for the lava samples. The 143Nd/144Nd ratios of the samples tend to decrease with increasing Th/Nd ratio. This observation suggests that the low 143Nd/144Nd component is enriched in Th relative to Nd; such Th-enriched, low 143Nd/144Nd materials were, most plausibly, subducted oceanic sediments (e.g. Plank & Langmuir, 1993Go; Elliott et al., 1997Go; Hawkesworth et al., 1997Go). In fact, sediments from the Pacific Ocean have a significantly lower 143Nd/144Nd of ~ 0·5123 (Hauff et al., 2003Go) than the lava samples (> 0·5129). On the other hand, the 143Nd/144Nd of AOC from the Pacific Ocean is higher (~ 0·5131; Hauff et al., 2003Go) than that of the lava samples (< 0·5130), demonstrating that the lower 143Nd/144Nd ratios of the lava samples compared with DMM (Fig. 10) cannot be explained solely by the contribution of the AOC component.


Figure 10
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Fig. 10. Variation of 143Nd/144Nd of the lava samples vs Th/Nd. The Th/Nd and 143Nd/144Nd ratios of DMM are from Salters & Stracke (2004Go).

 
Coupling of AOC and SED components
To a first-order approximation, the lavas data define a linear array in 207Pb/204Pb–206Pb/204Pb compositional space. There are three possibilities to produce the observed trend: (1) the DMM and the SED components were mixed heterogeneously, and then the mixture was mixed with the AOC component (Fig. 11a); (2) the DMM and the AOC components were mixed incompletely, and the mixture was further mixed with the SED component (Fig. 11b); (3) the AOC and the SED component was mixed homogeneously, and the mixture was subsequently mixed with the DMM component (Fig. 11c). Case (1) may be realized when mantle melting is induced by an influx of AOC fluids into source mantle (DMM) that has already been metasomatized by the SED component (e.g. Elliott et al., 1997Go). Case (2) may occur when magma generation is caused by addition of the SED component to source mantle that has already been infiltrated by the AOC fluid. Case (3) may occur when melting of the source mantle (DMM) is induced by influx of materials consisting of the AOC and the SED components (e.g. Ishikawa & Nakamura, 1994Go; Shibata & Nakamura, 1997Go; Taylor & Nesbitt, 1998Go; Hochstaedter et al., 2001Go).


Figure 11
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Fig. 11. Three possible formation processes of the linear lava trend shown schematically in 207Pb/204Pb–206Pb/204Pb composition space. (See text for details.)

 
For cases (1) and (2), to form the observed linear trend (continuous bold line), the mixing ratio between the homogeneous component [AOC for case (1) or SED for case (2)] and the spatially heterogeneous mantle [the DMM–SED mixture for case (1) or the DMM–AOC mixture for case (2)] needs to vary linearly with the mantle composition. However, this mixing scenario may be less likely to occur. For example, magma generation induced by influx of a SED component into the AOC-metasomatized source mantle has been suggested in Java (Handley et al., 2007Go); however, the data for the volcanic products point to a mixture between the DMM component and the AOC component, rather than to the DMM component. On the other hand, for case (3), the observed linear trend can be produced by mixing of the homogeneous DMM component with a homogenized AOC–SED mixture (note that the linear data array of the lava samples extends away from the DMM component; Fig. 9). The homogeneous mixing between the SED and the AOC components could occur naturally (Morris et al., 1990Go) by interaction with fluids ascending from dehydration of AOC into the overlying sediment layer or by metasomatism of AOC by fluids in equilibrium with SED beneath fore-arc regions (e.g. Usui et al., 2006Go; Bebout, 2007Go).

For these reasons, the observed linear trend is considered to have been formed primarily by mixing of the DMM component with a homogenized AOC–SED mixture; a slight heterogeneity of the DMM component is suggested as discussed below. Generation of the magmas was, therefore, induced essentially by a single-stage fluid addition event, similar to that advocated for the Izu–Bonin arc (Hochstaedter et al., 2001Go) and some lavas from the Aleutian chain (Jicha et al., 2004Go). In this case, the point at which the extension of the lava trend intersects the AOC–SED mixing line in Fig. 9 indicates the composition of slab-derived materials (SDM) consisting of AOC and SED components (Ishikawa & Nakamura, 1994Go; Taylor & Nesbitt, 1998Go).

Figure 9 demonstrates that the Araragiyama magmas contain a greater amount of the slab-derived component than the Numaura magmas, although the Araragiyama magmas are also suggested to have originated by higher degrees of melting. This is clearly illustrated in Fig. 12, which shows the variation of isotopic composition with TiO2 content. Given that the TiO2 content represents an index of the degree of partial melting of the source mantle, the isotopic composition changes systematically with the degree of melting. The 87Sr/86Sr and 206Pb/204Pb ratios tend to increase systematically with decreasing TiO2 content (Fig. 12a and c), suggesting that these ratios increase with increasing degree of melting. Similarly, the primary magmas produced by higher degrees of melting have lower 143Nd/144Nd ratios (Fig. 12b). Therefore, it is inferred that the generation of primary magmas by higher degrees of melting involves a greater amount of the slab-derived component.


Figure 12
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Fig. 12. Variations of Sr, Nd and Pb isotopic ratios with TiO2 contents for the lava samples excluding the low-TiO2 Araragiyama samples. Dotted lines with arrowheads indicate schematic trends of pure partial melting and flux melting.

 
The Pb isotopic compositions of the relatively SiO2-rich (> 49·5 wt %) Numaura samples (gray squares in Fig. 9) deviate from the linear trend in the 207Pb/204Pb–206Pb/204Pb diagram, and cannot be explained by mixing of the same end-member components (i.e. DMM and SDM) as those on the major trend. This observation suggests that either the SDM component or the DMM component was heterogeneous during the generation of the SiO2-rich Numaura magmas. Given that slab-derived materials are likely to have been chemically homogenized during transport in the wedge mantle, the source mantle, rather than the SDM, might have been heterogeneous. In this case, the curved compositional trend of the Numaura samples can be explained by gradual change of the DMM composition (from the gray circle to the filled circle in Fig. 9) during magma generation.

Nature of slab-derived materials
As discussed above, the SED and the AOC components were coupled in the slab-derived materials that triggered the generation of the Numaura and the Araragiyama magmas. The SDM component appears to have been an aqueous fluid-like material as suggested from the positive spikes of Sr, Pb and Li in the multi-element concentration diagram (Fig. 5). This is also supported by the increase of Ba concentration with increasing degree of melting (i.e. decreasing TiO2 content; Fig. 8d), because Ba is effectively transported by aqueous fluids released from the AOC, which is the major source of Ba in arc lavas (e.g. Elliott, 2003Go). However, the Nd isotopic variation of the lavas (Fig. 12b) requires that the SDM component contained significant amounts of a silicate melt component. Therefore, the slab-derived materials were either silicate-bearing H2O-rich fluids or supercritical liquids.

Of these possibilities, supercritical liquids may be more likely, considering that the depth to the Wadati–Benioff Zone is 300 km at Rishiri Volcano (e.g. Bureau & Keppler, 1999Go; Kawamoto, 2006Go). In fact, it has been shown that such supercritical liquids can contain significant amounts of Nd, as well as Ba, Sr and Pb (Kessel et al., 2005Go). During the ascent of supercritical liquids to shallow levels in the wedge mantle, they could separate into aqueous fluid and hydrous silicate melt components. However, such unmixing may not occur at deeper levels of the stability field of spinel lherzolite when the temperature is higher than ~ 1000°C (Bureau & Keppler, 1999Go), and, therefore, magma generation beneath Rishiri Volcano could have been induced by influx of supercritical liquids. In a later section, we show that the involvement of supercritical liquids in the magma generation process is consistent with estimated trace element compositions of the SDM.

Flux melting beneath Rishiri Volcano
To understand the magma generation processes more quantitatively, we evaluate flux melting of the mantle based on incompatible trace element data, using the open-system melting model of Ozawa & Shimizu (1995Go). Then, importance of decompression-driven melting relative to fluid-fluxed melting and the compositions of slab-derived materials are evaluated.

Critical open-system melting model
As is discussed above, the geochemical heterogeneity of the two lava flows is suggested to have formed essentially by a series of progressive melting events. Therefore, we evaluate magma generation processes using the instantaneous melt model, rather than the accumulated melt model, of Ozawa & Shimizu (1995Go). The model considers a situation in which melting of the mantle occurs by continuous influx of fluid (or melt), and the melt generated is removed continuously from the partially melting region in a constant melt fraction. According to Ozawa & Shimizu (1995Go), the composition of the instantaneous melt (element i) being removed from the melting region, Formula , is


Formula 1

(1)
where F is the degree of melting, Formula is the initial concentration of the element i in the source, Formula is the concentration of the element in influxing fluid, Formula is the initial bulk solid partition coefficient, Pi is the bulk partition coefficient weighted for proportion of phases entering melt, {alpha} is the mass ratio of retained melt to solid residue after the critical degree of melting (FC) is reached, and β is mass flux rate, defined as the influxing mass fraction (relative to the initial solid) divided by the degree of melting. This equation is valid when β is constant, irrespective of degree of melting. Fortunately, this condition appears to have been mostly met beneath Rishiri Volcano.

The model is applied to the samples whose Pb isotopic compositions plot on the linear trend in the 207Pb/204Pb–206Pb/204Pb diagram (i.e. black squares and open squares in Fig. 9). The samples collected from the coastal area were not used, because their Pb concentrations may have been modified by seawater alteration (see the Appendix). The source mantle may or may not have been depleted compared with typical DMM by a previous melt extraction event. Figure 13 shows the Nb/Zr ratios of the lavas, as well as the variations of the Nb/Zr ratios of partial melts of the source mantle as a function of the melting degree of the source (F) and the degree of prior melt removal from the DMM source (f), calculated according to Kelley et al. (2006Go). The comparison of the Nb/Zr ratios of the lavas (0·041–0·044) with the calculated results suggests that the source mantle beneath Rishiri Volcano might not have experienced a significant melt extraction event (f < ~ 0·001; note that F was higher than ~0·02 as is shown below). From this result, in the open-system melting model, the trace element compositions of the source mantle are assumed to be the representative DMM compositions of Salters & Stracke (2004Go) (Formula = 23·2 ppb). Partition coefficients of Pb between melt and minerals are from Kelemen et al. (2003Go). Using the pMELTS model with Adiabat_1ph program (Ghiorso et al., 2002Go; Smith & Asimow, 2005Go), the initial modal abundance of the source is estimated to be 55· 0 wt %, 27· 5 wt %, 13· 6 wt % and 3· 9 wt % for olivine, orthopyroxene, clinopyroxene and spinel, respectively, at assumed conditions of 1250°C and 2 GPa (within the stability field of spinel lherzolite). The initial bulk solid partition coefficient, Formula , was then obtained from the mineral–melt partition coefficients and the initial modal abundance. PPb was calculated using the partition coefficients and the assumed melting mode of 7 wt %, 41 wt %, 30 wt % and 22 wt % for olivine, orthopyroxene, clinopyroxene and spinel, respectively, which is also obtained from the pMELTS model. The fraction of trapped melt in the source mantle peridotite is suggested to be lower than ~ 1 wt % (e.g. Nakano & Fujii, 1989Go; Johnson & Dick, 1992Go), and a value of the parameter FC [= {alpha}/({alpha} + β + 1)] of 0·01 is assumed in this study.


Figure 13
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Fig. 13. Calculated Nb/Zr ratios of partial melts of peridotite for F = 0·02, 0·05 and 0·1, shown as a function of f (the degree of prior melt extraction from the DMM source). The methods of Kelley et al. (2006Go) were followed. The Nb/Zr ratios of the lavas (0·041–0·044) are indicated.

 
Model results
Now the remaining unknown variables are Formula , Formula , β and F. We can estimate F and β as a function of Formula for each sample, because we have information on the Pb isotopic compositions of SDM, DMM and the samples, and the initial Pb concentration of DMM. The Pb concentration of each primary magma (Formula ) is assumed to be that of the sample, because the effect of olivine fractionation from the primary magma is smaller (2–4%) than the analytical error for Pb (~ 5%). Figure 14 shows calculated variations of F and β as a function of Formula for the sample Nm-43 (Table 1). The estimated degree of melting, F, does not vary greatly with Formula . On the other hand, the β value depends strongly on the Pb concentration of SDM, and tends to decrease significantly with increasing Formula .


Figure 14
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Fig. 14. Calculated degree of melting (F) and β value, shown as a function of the Pb concentration of slab-derived materials (SDM) for the Nm-43 magma. The possible range of the Pb concentration of SDM is also indicated (double-headed arrow).

 
We can estimate uniquely the values of F, β and Formula , if one more condition is fixed. However, β and Formula are strongly coupled (β · Formula {approx} constant), and β (or Formula ) cannot be fixed independently by mass balance constraints using Sr and Nd isotopes. Previous studies have utilized the water contents in magmas to estimate parameters regarding flux melting (e.g. Stolper & Newman, 1994Go; Kelley et al., 2006Go; Portnyagin et al., 2007Go). Unfortunately, we could not estimate the H2O contents in the primary magmas of the lava samples, because glass inclusions in olivine phenocrysts are rare and they are too small to permit determination of H2O contents. Kuritani (2000Go) estimated that the water content in a primary L-1 stage magma was ~ 3 wt % using constraints of crystal–melt thermodynamic equilibrium. Therefore, the melting parameters are constrained assuming that this was also true for the primary Nm-43 magma. Using a water content of ~ 3 wt %, we can constrain the β value using equation (1), given that the H2O content in SDM (possibly, supercritical liquid) was > ~ 60 wt % (Kessel et al., 2005Go). Then, we obtained the upper limit of the β value to be ~ 0·07, assuming that H2O content in DMM is 116 ppm (Salters & Stracke, 2004Go) and the behavior of H2O in terms of mineral–melt partitioning is similar to that of Ce (e.g. Michael, 1995Go; Kelley et al., 2006Go). The β value cannot be lower than ~ 0·04, because the H2O content in SDM cannot exceed 100 wt %. Thus, Formula is constrained to be from ~ 30 ppm to ~ 45 ppm (Fig. 14).

Figure 15a shows the TiO2 contents of the lava samples plotted as a function of the degree of melting calculated at a given Formula of 40 ppm (i.e. the SDM compositions are assumed to have been constant throughout the generation of the Numaura and the Araragiyama magmas). Except for one sample of the Numaura lava, the F value increases systematically with decreasing TiO2 content. The result suggests that the primary Numaura and the Araragiyama magmas represent relatively small-degree (2–3%) partial melts of spinel peridotite. Figure 15b shows calculated relationships between the amount of SDM in the source and the degree of partial melting for Formula of 30, 40 and 50 ppm. The amounts of SDM involved in the generation of the primary magmas tend to increase with increasing melting degree, irrespective of the compositions of the SDM. These features are similar to those reported by Stolper & Newman (1994Go) and Kelley et al. (2006Go) for Mariana Trough magmas and other back-arc basin magmas. The positive correlations between source water contents and the degrees of melting have also been reproduced by experiments and thermodynamic calculations for peridotite melting conducted at isothermal and isobaric conditions (e.g. Gaetani & Grove, 1998Go; Hirschmann et al., 1999Go). In the diagram, the calculated relationships using the parameterized hydrous mantle melting model of Katz et al. (2003Go) at an isothermal and isobaric condition are also shown (SDM is assumed to be H2O). The lava trends can be approximately reproduced by the model calculations (even if we use different pressure conditions from 2 GPa, the lava data can be similarly fitted at different temperature conditions from those shown in Fig. 15b). This observation may suggest that the primary Numaura and the Araragiyama magmas were produced essentially by flux melting, without a significant contribution of decompression melting.


Figure 15
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Fig. 15. (a) TiO2 contents of the lava samples plotted against the calculated degree of melting (F); (b) relationships between the amount of SDM in the source mantle and the degree of melting for Pb concentrations of the SDM of 30, 40 and 50 ppm. In (b), calculated relationships using the parameterized hydrous mantle melting model of Katz et al. (2003Go) are shown for comparison. Dashed lines with arrowheads indicate schematic trends of decompression melting and flux melting.

 
We can calculate the SDM compositions from equation (1) using the mineral–melt partition coefficients of Kelemen et al. (2003Go) and the compositions of Nm-43 (Table 1), because the relationship between F and β is known as a function of Formula . The results of our calculations (Formula = 40 ppm) are listed in Table 3. It is suggested that the SDM contained appreciable amounts of Sr, Ba, Th, U and light REE (LREE), but high field strength elements (HFSE) and HREE were depleted. These features hold even when we use different Formula from 40 ppm. In Table 3, the experimental slab–fluid partition coefficients of Kessel et al. (2005Go) are also shown. A notable feature of these data is that the partition coefficients of Ce, Nd and Th are higher than unity for supercritical liquids, whereas they are lower than unity for aqueous fluids. It is noteworthy that the SDM is estimated to have contained appreciable amounts of Ce, Nd and Th. Furthermore, for a supercritical liquid, the partition coefficients of the elements that are likely to have been depleted in the SDM (i.e. HFSE and HREE) are also lower than unity. This is consistent with the inference that the SDM was a supercritical liquid. Involvement of supercritical liquids in the genesis of rear-arc magmas has also been suggested in the Kamchatka arc, by Portnyagin et al. (2007Go); those workers also suggested that the slab-derived materials contained large amounts of large-ion lithophile elements, LREE and Th.


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Table 3: Calculated compositions of SDM and slab-SDM partition coefficients

 
On the basis of the results described above, the generation of the Numaura and the Araragiyama magmas is considered to have been induced principally by influx of slab-derived supercritical liquids to the source region under isothermal and isobaric conditions (Fig. 16). Considering that the lavas record heterogeneity of the primary magmas (generated by increasing degrees of melting), the magmas are suggested to have migrated continuously upward from the melting region as soon as they were generated in response to continuing influx of the SDM (Fig. 16). This is consistent with the order of eruption of the lavas: eruption of the Numaura magmas produced by lower degrees of melting was followed by eruption of the Araragiyama magmas formed by higher degrees of melting.


Figure 16
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Fig. 16. Schematic illustration of the generation processes of the Numaura and the Araragiyama magmas. Slab-derived materials (SDM) are transported to the melting region (a). The Numaura magma (b) and, subsequently, the Araragiyama magma (c) migrate upward from the melting region as soon as they are generated in response to continuing influx of the SDM. The magmas are considered not to have been stored in a stable magma chamber during ascent to the surface; olivine crystals formed during ascent are suggested to have been fractionated from the magmas.

 
230Th-excess signatures in the lavas
The Numaura and the Araragiyama lavas show 230Th enrichment with respect to 238U (Fig. 6). One means of producing the 230Th-excess signatures of the primary melt is magma generation in upwelling mantle (i.e. dynamic melting; McKenzie, 1985Go; Williams & Gill, 1989Go). However, this mechanism may not have operated beneath Rishiri Volcano, because the geochemical variations of the lava samples can be principally explained by fluid-fluxed melting at an invariant point in PT space, as discussed above.

Another possibility is magma generation by involvement of slab-derived materials having 230Th excesses. On the basis of the estimation of the SDM composition (Table 2), the (238U/232Th) is considered to have been ~ 0·68 (Fig. 17). It is notable that the elemental ratio (i.e. U/Th) of the estimated SDM is independent of Formula . Kimura & Yoshida (2006Go) estimated the (238U/232Th) of the slab source materials to be ~ 0·9 for lavas of the rear NE Japan arc. If the slab source materials had a similar composition beneath the rear Kurile arc (note that Rishiri Volcano is close to the NE Japan arc; Fig. 1) and if they were in U–Th radioactive equilibrium, the initial (230Th/232Th) of the SDM would have been ~ 0·9. Given that the transport rate of slab-derived materials is higher than ~ 102 m/year (Turner et al., 2001Go; Yokoyama et al., 2003Go; Hawkesworth et al., 2004Go), the (230Th/232Th) of the SDM would have been > 0· 89. In this case, the SDM must have been significantly enriched in 230Th with respect to 238U (~ 30%) (Fig. 17). Calculations show that ~ 65% of the Th and ~ 57% of the U in the primary magmas were derived from the SDM. Therefore, the 230Th enrichment of the SDM is inferred to have played an important role in the formation of the 230Th-excess signature of the lavas. If the melting rate was low, the same melting effect as that of dynamic melting (i.e. ingrowth of 230Th towards 238U in the residual source mantle) could have additionally contributed to the formation of the Th isotopic variation.


Figure 17
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Fig. 17. U–Th equiline diagram showing the compositions of the Numaura and the Araragiyama samples, as well as a possible composition of the SDM component. The age-corrected isotopic compositions of the lavas (8·2 and 20·2 ka) are shown as circles. The composition of the slab source materials (Figure 17) is from Kimura & Yoshida (2006Go), assuming that they were in U–Th radioactive equilibrium.

 
The 230Th-excess feature of the slab-derived materials beneath Rishiri Volcano contrasts with involvement of U-rich fluids in magma generation for frontal-arc lavas (e.g. Elliott et al., 1997Go; Turner et al., 2000Go; Yokoyama et al., 2003Go). The difference may reflect that, with increasing pressures, the behavior of fluids released from the subducting slab changes from aqueous fluids into which U is preferentially partitioned relative to Th to supercritical liquids that can contain significant amounts of Th (Kessel et al., 2005Go; Portnyagin et al., 2007Go). In addition, the significant 230Th excesses of the Rishiri lavas resulted from the condition that the depth of magma generation was greater than that at which supercritical liquids would decompose into aqueous fluid and silicate melt components.


    CONCLUSION
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
To understand the generation processes of rear-arc magmas, geochemical and petrological studies have been carried out for the Numaura and the Araragiyama lava flows from Rishiri Volcano, located at the rear of the Kurile arc. The primary magmas of these lavas are suggested to have been produced by a series of progressive melting events of mantle peridotite with the degree of melting increasing from ~ 2 to ~ 3%. The primary magmas appear to have been produced at an isobaric and isothermal condition, and the degree of melting increased proportionally with the amounts of slab-derived materials influxed into the melting region. In some arcs, two separate additions of slab components (i.e. an altered oceanic crust component and a sediment component) to the sub-arc mantle have been suggested (e.g. Elliott et al., 1997Go; Handley et al., 2007Go). However, beneath Rishiri Volcano, the two components are likely to have been coupled, and only single-stage transport of slab materials to the source mantle is required to explain the geochemical features of the lavas. The inference that the Nd isotopic compositions of the primary magmas change with the degree of melting requires that the slab-derived materials had significant amounts of a silicate melt component, and thus that these materials are likely to have been supercritical liquids. The slab-derived materials are estimated to have contained appreciable amounts of Sr, Ba, LREE, Pb, Th and U, and the Th-rich nature (relative to U) of the supercritical liquids resulted in the 230Th-excess signature of the lavas.


    APPENDIX
 TOP
 ABSTRACT
 INTRODUCTION
 GEOLOGICAL SETTING
 ANALYTICAL METHODS
 PETROGRAPHY AND MINERALOGY
 WHOLE-ROCK COMPOSITION
 DISCUSSION
 CONCLUSION
 APPENDIX
 REFERENCES
 
Evaluation of the effect of seawater alteration on geochemical data
Some samples used in this study were collected from the coastal area and, unfortunately, their original trace element and isotopic compositions could have been modified by seawater alteration (e.g. Jochum & Verma, 1996Go; Yokoyama et al., 2003Go). In this Appendix, the effects of seawater alteration on isotopic and trace element data are evaluated.

In this study, to remove the effect of seawater alteration, an acid leaching step was used prior to the Sr, Nd and Pb isotope analyses. We have also measured the Sr, Nd and Pb isotopic compositions of the unleached Sn-25 sample, and the compositions are as follows: 87Sr/86Sr = 0·703026, 143Nd/144Nd = 0·512994, 206Pb/204Pb = 18·122, 207Pb/204Pb = 15·526 and 208Pb/204Pb = 38·074. In comparison with the data for the leached sample listed in Table 1, the Sr isotopic composition of the unleached sample is slightly higher, but the difference is not significant. Nd isotopic composition does not change by the leaching process within the analytical error. On the other hand, lead isotopic composition changes significantly by the leaching process and, in particular, the 206Pb/204Pb and the 207Pb/204Pb ratios of the leached samples are much higher and lower, respectively, than those of the unleached sample. When volcanic rocks are isotopically heterogeneous on sub-mineral scales (e.g. Davidson et al., 2007Go), acid leaching could change the original bulk isotopic composition, because the leaching preferentially removes Sr and Pb from glass. However, this is not problematic in the studied lavas, because the lava samples are phenocryst-poor (~ 5 vol. % phenocrysts) and the phenocryst phase is solely olivine with little Sr and Pb. Therefore, we believe that the leaching process removes only the effect of seawater alteration and gives the original isotopic compositions of the rocks before seawater alteration.

For trace element analyses, we did not perform acid leaching, because it causes artificial elemental fractionation. Therefore, we need to use the trace element data of the coastal samples cautiously. In Fig. A1, the trace element concentrations of the coastal samples are compared with those of the samples collected far from the coast for two pairs, Sn-14–Nm43 from the Numaura lava flows and Sn-12–Nm-13 from the Araragiyama lava flows (note that the major element compositions of the samples in each pair are mostly similar). The coastal samples are significantly (> 10%) enriched in B and Rb in both pairs. Li, Pb and U are more abundant in the coastal sample in only one of the two pairs. Interestingly, Cs is more enriched in the coastal sample in one pair, but it is more depleted in the coastal sample in the other pair. The concentrations of Sr and Nd in the coastal samples are similar to those of the samples collected far from the coast, which is consistent with the observation that Sr and Nd isotopic compositions of the leached sample are similar to those of the unleached sample. On the basis of these results, Li, B, Rb, Cs, Pb and U concentrations of the samples collected from the coastal area are not used in this paper.


Figure 18
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Fig. A1. Comparison of the trace element concentrations of samples collected far from the coast with those of coastal samples. Two pairs, Sn-14–Nm-43 from the Numaura lava flows and Sn-12–Nm-13 from the Araragiyama lava flows, are shown (major element compositions of the samples are mostly identical in each pair). For single elements of each pair, the ‘relative difference’ is calculated by 100 x (Figure 18Figure 18)/Figure 18, in which Figure 18 and Figure 18 are the concentration of element i in the coastal sample and the sample collected far from the coast, respectively. If the absolute value of the relative difference of element i is larger than 10% (twice the analytical error), the concentration of element i of the coastal samples is considered to have been modified by seawater alteration.

 

    ACKNOWLEDGEMENTS
 
We thank Ryoji Tanaka and all other members of the Pheasant Memorial Laboratory (Okayama University), Takeyoshi Yoshida (Tohoku University) and Jun-ich Kimura (Shimane University) for useful discussions. Editorial handling by J. Gamble and critical improvement of the manuscript by J. Davidson, B. Bourdon and an anonymous reviewer are greatly appreciated. We are grateful to Kazuhito Ozawa for fruitful comments on the manuscript. We also acknowledge T. Moriyama, H. Kitagawa and N. Kuritani for helping T.K. collect rock samples at Rishiri Volcano. This work was supported by the Ministry of Education, Culture, Sports, Science, and Technology of the Japanese Government [Grant-in Aid for Young Scientists (B)] to T.K., and also by the program for the ‘Center of Excellence for the 21st Century in Japan’ to ISEI, Okayama University and to Graduate School of Science, Tohoku University.


    FOOTNOTES
 
{dagger}Present address: Department of Earth and Planetary Sciences, Graduate School of Science and Engineering, Tokyo Institute of Technology, Tokyo 152-8551, Japan. Back


*Corresponding author: Fax: +81-22-795-7760. E-mail: kuritani{at}mail.tains.tohoku.ac.jp


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 APPENDIX
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