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Oxygen isotope biogeochemistry of pore water sulfate in the deep ...

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<strong>Oxygen</strong> <strong>isotope</strong> <strong>biogeochemistry</strong> <strong>of</strong> <strong>pore</strong> <strong>water</strong> <strong>sulfate</strong>... 4229Measured dataδ 18 O SO4 [ 0 / 00 VSMOV]δ 18 O IW [ 0 / 00 VSMOW]Modeled dataTheoretical δ 18 O SO4 equilibrium [ 0 / 00 VSMOV]δ 18 O SO4 exchange [ 0 / 00 VSMOV]δ 18 O SO4 k<strong>in</strong>etic α=1.01625 [ 0 / 00 VSMOV]δ 18 O SO4 k<strong>in</strong>etic α=1.057 [ 0 / 00 VSMOV]Net Flux SO 42Gross Flux SO 4 2- ε=29 0 / 00Gross Flux SO 4 2- ε=50 0 / 00020406080100mbsf1201401601802002202402602803000 10 20 30 40δ 18 O [ 0 / 00 VSMOV]10 -12 10 -11 10 -10mol/m 3 s -1Fig. 8. <strong>Oxygen</strong> <strong>isotope</strong> composition <strong>of</strong> <strong>the</strong> <strong>in</strong>terstitial <strong>water</strong> (d 18 O IW ), <strong>the</strong> d 18 O values from dissolved <strong>sulfate</strong> (d 18 O SO4 ), as well as <strong>the</strong> results <strong>of</strong>different model runs assum<strong>in</strong>g ei<strong>the</strong>r a k<strong>in</strong>etic fractionation ðd 18 O SO4k<strong>in</strong>etic Þ process or fractionation by <strong>isotope</strong> exchange reactions d 18 O SO4exchange .The <strong>the</strong>oretical d 18 O SO4 2 equilibrium values were calculated us<strong>in</strong>g <strong>the</strong> equation <strong>of</strong> Fritz et al. (1989) from <strong>the</strong> shipboard temperature data and<strong>the</strong> <strong>pore</strong><strong>water</strong> d 18 O measurements.Coleman et al. (2005) and references <strong>the</strong>re<strong>in</strong>, <strong>the</strong> oxygenisotopic equilibrium between <strong>water</strong> and phosphate at 5 °Ccan be calculated as (111.4 5)/4.3 = 24.7. This would implythat <strong>the</strong> <strong>in</strong>itial sulfite–<strong>water</strong> equilibrium was 29.9‰,close to <strong>the</strong> equilibrium constant derived above from <strong>the</strong>data reported by Böttcher et al. (2001, 2005).The net flux (i.e., <strong>the</strong> <strong>sulfate</strong> reduction rate, SRR) and<strong>the</strong> gross flux (i.e., <strong>the</strong> exchange flux see Fig. 8) is on average14 times higher than <strong>the</strong> SRR. Similarly high rates arealso reported by Turchyn et al. (2006). These flux rates arehowever critically dependent on <strong>the</strong> choice <strong>of</strong> . We <strong>the</strong>reforealso modeled <strong>the</strong> case with a considerably higher equilibriumfractionation factor ( =50‰). Such an apparentconstant could result from a comb<strong>in</strong>ation <strong>of</strong> an oxygen <strong>isotope</strong>exchange effect with a additional k<strong>in</strong>etic oxygen <strong>isotope</strong>fractionation (hypo<strong>the</strong>sis C). In this case, <strong>the</strong>required volumetric exchange flux b is reduced to <strong>the</strong> po<strong>in</strong>tthat it becomes smaller than <strong>the</strong> SRR <strong>in</strong> <strong>the</strong> upper 80 mbsf,and is only 4 times higher than <strong>the</strong> SRR fur<strong>the</strong>r downcore.However, <strong>in</strong> <strong>the</strong> absence <strong>of</strong> data support<strong>in</strong>g such highapparent equilibrium constants, we consider a simple exchangemodel <strong>the</strong> better explanation.The fact that <strong>the</strong> calculated exchange flux is much greaterthan <strong>the</strong> flux produced by dissimilatory <strong>sulfate</strong> reductionposes, however, some difficulties for our understand<strong>in</strong>g <strong>of</strong>2how SO 4is transported through <strong>the</strong> cell membrane.While Cypionka (1989) conv<strong>in</strong>c<strong>in</strong>gly showed that large2and fast back-fluxes <strong>of</strong> SO 4across <strong>the</strong> cell membraneare possible, Brüchert (2004) argues that a large back-fluxwould reduce <strong>the</strong> membrane potential dW as <strong>the</strong> <strong>sulfate</strong>ion carries a charge. We note however, that dW dependsnot only on <strong>the</strong> back-fluxes alone, but on <strong>the</strong> difference between<strong>the</strong> sum <strong>of</strong> <strong>the</strong> forward and backward fluxes. Fur<strong>the</strong>rmoreCypionka (1989) showed that <strong>sulfate</strong> transportacross <strong>the</strong> cell membrane can be electroneutral if cell-external<strong>sulfate</strong> concentrations are high enough.

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