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Groundwater arsenic in the Red River delta, Vietnam ... - Fiva

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3110 F. Larsen et al. / Applied Geochemistry 23 (2008) 3099–3115<br />

and <strong>the</strong> channel bed conductance, and not surpris<strong>in</strong>gly <strong>the</strong><br />

flow across <strong>the</strong> sou<strong>the</strong>rn boundary. The latter model<br />

uncerta<strong>in</strong>ty was reduced by carefully sampl<strong>in</strong>g <strong>the</strong> head<br />

observations along this boundary and <strong>the</strong> uncerta<strong>in</strong>ty has<br />

<strong>the</strong>refore been conf<strong>in</strong>ed to <strong>the</strong> estimated hydraulic conductivity<br />

of <strong>the</strong> sand, which seems well documented. The<br />

estimated conductance of <strong>the</strong> channel appears high and<br />

could very well be wrong by a factor of 5–10. Mean error<br />

(ME) values between simulated and observed hydraulic<br />

heads, us<strong>in</strong>g a uniform recharge rate of 60 mm/a, is<br />

0.57 m <strong>in</strong> <strong>the</strong> calibrated model and 0.60 m <strong>in</strong> <strong>the</strong> validated<br />

model. Increas<strong>in</strong>g <strong>the</strong> recharge rate gave larger errors and<br />

with a recharge rate of 100 mm/a, <strong>the</strong> ME values of <strong>the</strong> calibrated<br />

and validated model <strong>in</strong>creased to 0.77 m and<br />

0.80 m, respectively. The mean absolute errors (MAE) <strong>in</strong><br />

<strong>the</strong> validated model with a recharge of 60 and 100 mm/a<br />

were 0.78 and 0.93 m, respectively. Given <strong>the</strong> above<br />

mentioned uncerta<strong>in</strong>ties <strong>in</strong> <strong>the</strong> flux across <strong>the</strong> sou<strong>the</strong>rn<br />

boundary and <strong>the</strong> conductance of <strong>the</strong> channels, <strong>the</strong> uncerta<strong>in</strong>ty<br />

on <strong>the</strong> calibrated recharge rate alone from percolation<br />

could work equally well with a percolation of<br />

100 mm/a. Increas<strong>in</strong>g <strong>the</strong> recharge rate to much more<br />

than 100 mm/a is not possible with <strong>the</strong> calibrated flow<br />

model without simulat<strong>in</strong>g unrealistically high hydraulic<br />

heads.<br />

The observed and simulated hydraulic heads <strong>in</strong> boreholes<br />

C2, C5, C9 and C19 are depicted <strong>in</strong> Fig. 10 and show<br />

that when <strong>the</strong> water table rises, <strong>the</strong> simulated hydraulic<br />

heads match <strong>the</strong> observed values very closely, generally<br />

with differences smaller than 0.1 m. The larger deviations<br />

between observed and simulated heads dur<strong>in</strong>g peaks are<br />

due to variations <strong>in</strong> <strong>the</strong> specific yield of <strong>the</strong> conf<strong>in</strong><strong>in</strong>g clay<br />

layer. When <strong>the</strong> water table falls, <strong>the</strong> model generally simulates<br />

<strong>the</strong> high head values correctly <strong>in</strong> <strong>the</strong> beg<strong>in</strong>n<strong>in</strong>g but<br />

later <strong>the</strong> modeled water table becomes too low, with deviations<br />

up to 0.6 m. This mismatch is probably caused by a<br />

Fig. 10. (a–d) Observed and simulated groundwater heads <strong>in</strong> boreholes. (e) Observed and simulated hydraulic gradients between <strong>the</strong> K 50 and H 50 boreholes<br />

located with<strong>in</strong> a distance of 750 m <strong>in</strong> <strong>the</strong> two transects.

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