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Inorganic Carbon-14. Matt Baillie 3/25/04 HWR696T. Outline. Production of 14 C Variance through time of 14 C production How to get 14 C into groundwater Complications and corrections Conclusions. Production in the atmosphere.
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Inorganic Carbon-14 Matt Baillie 3/25/04 HWR696T
Outline • Production of 14C • Variance through time of 14C production • How to get 14C into groundwater • Complications and corrections • Conclusions
Production in the atmosphere • 14C produced through secondary spallation reactions between neutrons and 14N atoms • 14C atoms then quickly combine with O2 to form 14CO2 • Subsurface production unimportant due to CO2 in soil From (Taylor, 2000)
Temporal production variance • Variation in production of 14C in the atmosphere dependent on cosmic ray flux, which is in turn dependent on solar activity, geomagnetic field, etc. • Atmospheric production can be calibrated using dendrochronology, as well as U-Th dating of corals • Industrial age burning of fossil fuels has put a huge amount of “dead” carbon into the atmosphere, diluting atmospheric 14C • Atmospheric testing of nuclear weapons increased (up to double) the 14C in the atmosphere • Now approaching previous levels due to moratorium on atmospheric testing, as well as 14CO2 going mostly into the oceans
Getting 14C into groundwater • 14CO2 incorporated into plants through photosynthesis, undergoing depletion • 14C is passed from plants to soil, and becomes slightly enriched due to the diffusion of 12CO2 into the atmosphere • Soil CO2 levels are 10-100 times greater than atmospheric CO2 levels, so absolute amounts of 14C are much higher in the soil than in the atmosphere
Getting 14C into groundwater • In open system conditions (contact with the soil), 14C is replenished, and remains slightly enriched from soil levels • In closed system conditions, 14C is no longer replenished by the soil, and begins to decay away
Getting 14C into groundwater • Once the 14C is in closed system conditions and assuming no other processes affect it subsequently, the groundwater can be dated using the equation: where t is the mean residence time of the groundwater, at is the activity of the 14C at the time of sampling, and a0 is the initial activity of 14C
Complications • What was the initial 14C activity in the atmosphere when the groundwater entered closed system conditions? • Carbonate dissolution introduces “dead” carbon into the groundwater, taking 14C-active carbon out of the groundwater • Matrix diffusion of 14C into dead-end pores decreases 14C in groundwater • Reduction of organics by sulphate adds 14C-free carbon to the groundwater • Geogenic (mantle/deep crust) 14C-free CO2 • Methanogenesis introduces “dead” carbon
Corrections • To correct the calculated 14C age, apply a correction factor, q:
Corrections • Initial activity can be determined through the variations in atmospheric 14C through time
Corrections • Matrix diffusion: correction based on matrix porosity and fissure porosity in a dual-porosity aquifer • Sulphate reduction: stoichiometric correction • Geogenic CO2: δ13C correction • Methanogenesis: δ13C and stoichiometric correction
Corrections • For carbonate dissolution, correction factors are more complicated, and there are therefore several different correction models that can be applied • Statistical correction • Alkalinity correction • Chemical mass-balance correction • δ13C mixing (δ13C model) • Fontes-Garnier model
Carbonate corrections • Statistical correction • Simple geometric correction based on the type of aquifer system: • 0.65-0.75 for karst systems • 0.75-0.90 for sediments with fine-grained carbonate such as loess • 0.90-1.00 for crystalline rocks (from Vogel, 1970) • Can be estimated by: for any given recharge area • Limited in usefulness to waters found near the recharge area
Carbonate corrections • Alkalinity correction • Correction based on the initial and final DIC concentrations (from Tamers, 1975) • Assumes fully closed system conditions, with no exchange between the groundwater and the soil CO2 during dissolution • Model is of “limited interest” (Clark and Fritz, 1997)
Carbonate corrections • Chemical mass-balance correction • Closed-system model, with dissolution below the water table and no exchange with soil CO2 • Estimated by: • With mDICrech being estimable from the pH of the recharge area, and: mDICfinal = mDICrech+[mCa2++mMg2+-mSO42-+1/2(mNa++mK+-mCl-)] • Only useful in geochemically simple systems with no carbonate loss from the groundwater
Carbonate corrections • δ13C mixing (δ13C model) • Uses 13C as a tracer, useful in open and closed systems. • First introduced by Pearson (1965) and Pearson and Hanshaw (1970), later modified to work at higher pH (7.5-10): • Enrichment factor chosen for the soil greatly affects groundwater age, and is based on pH in the recharge area; assumes that this pH was the same when the groundwater was originally recharged
Carbonate corrections • Fontes-Garnier model (1979; 1981) • Calculates q based on both chemistry and δ13C values of groundwater • Uses Ca and Mg concentrations as a proxy for carbonate dissolution, as well as δ13C to partition the carbon into DIC that has exchanged with soil CO2 and that which has not • Does not take into account DIC sources aside from carbonate dissolution and soil CO2 exchange
Conclusions • Inorganic 14C is a useful tool for determining mean residence time of groundwater IF: • Initial 14C activity is known • Recharge conditions can be determined • Conditions within the aquifer are somewhat known (in relation to carbonate dissolution) • Groundwater is not too old for the method to be useful (for all practical purposes, water must be at most 30,000 years in residence (Clark and Fritz, 1997))