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Published online 16 November 2005
Published in Vadose Zone J 4:1107-1118 (2005)
DOI: 10.2136/vzj2005.0020
© 2005 Soil Science Society of America
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Water Saturation Measurements by Gas Tracers in Unsaturated Porous Media—Effect of Mass Transfer Limitations

Liqing Li* and Paul T. Imhoff

Dep. of Civil and Environmental Engineering, Univ. of Delaware, Newark, DE 19716


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Fig. 1. Schematic of experimental apparatus.

 


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Fig. 2. Packing patterns of sand columns.

 


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Fig. 3. Effect of Da on the asymmetry of breakthrough curves. Tp = 0.25 PV, Pe = 60, and R = 2.

 


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Fig. 4. Required cdgR/ to maintain a 5% error in Sw for different Damkohler and Peclet numbers. (A) R = 1.1; (B) R = 2.0; and (C) R = 4.0.

 


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Fig. 5. Effects of components in the Damkohler number on the value of Da. {theta}w = nSw.

 


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Fig. 6. Effect of extrapolation on normalized tracer detection limit required for a measurement error of 20% in Sw. Pe = 60, KH = 0.49, Da = 0.4, and Tp = 0.25 PV.

 


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Fig. 7. Effect of Sw on required cdg/c0g to achieve a 20% measurement error in Sw. Pe = 85, KH = 0.49, n = 0.344, and Tp = 0.25 PV.

 


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Fig. 8. Effect of KH on required cdg/c0g to achieve a 50% measurement error of Sw in Column 2. Tp = (A) 0.25 PV or (B) 0.75 PV. The tracer detection limit was adjusted for experimental data to achieve a 50% measurement error. Model predictions are from the single region model.

 


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Fig. 9. Comparison of step inputs and pulse inputs on the required cdgR/ to maintain a 5 or 50% error in Sw. R = 1.84, Pe = 95.

 


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Fig. 10. Experimental data and model fitting in Column 1. Tp = 0.43 PV, Pe = 23.7, and Da = 0.014.

 


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Fig. 11. Measurement error of Sw as a function of cdgR/ for three experimental columns. Error bars on experimental data represent ± one standard deviation of duplicate or triplicate measurements of water saturation. Data points without error bars are single measurements. Model simulations are predictions from the single region model for the conditions of each experimental column.

 


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Fig. 12. Measurement error of Sw as a function of Da. Experimental data are from different columns, with tracer detection limit adjusted to make cdgR/ = 0.02. Error bars correspond to the standard deviation of duplicate or triplicate measurements. Model predictions are from the single region model.

 





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