 
          3020
        
        
          Proceedings of the 18
        
        
          th
        
        
          International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
        
        
          
            Proceedings of the 18
          
        
        
          
            th
          
        
        
          
            International Conference on Soil Mechanics and Geotechnical Engineering, Paris 2013
          
        
        
          From Figure 4 we can observe the whole domain distribution
        
        
          of N-decane at the end of each stage, and it is clear how a light
        
        
          NAPL can actually get trapped below the water table after
        
        
          subsequent drainage and imbibition processes. We can also
        
        
          observe and quantify how less N-decane penetrated the column
        
        
          after the second drainage process, when compared to the first
        
        
          drainage process, mostly due to loss of NAPL trough the top
        
        
          spillway during imbibition. When comparing the depth and
        
        
          infiltration initial speed of the five studied NAPLs, no
        
        
          relationship was found with either density or viscosity values.
        
        
          More studies are necessary to compare these migration
        
        
          parameters with other physical properties of NAPLs. Finally,
        
        
          we can also observe how regions within the column that had
        
        
          higher NAPL saturation values at the end of the drainage
        
        
          processes, had also high saturation values by the end of the
        
        
          imbibition. This behavior was found on all five NAPLs, as
        
        
          shown in Figure 5 (left).
        
        
          Figure 5 (left) shows, for each one of the five different
        
        
          studied NAPLs, the relationship between their residual
        
        
          saturation values at the end of the drainage stage, when
        
        
          compared to their residual saturation values at the end of the
        
        
          imbibition stage. As can be seen, the relationship between both
        
        
          values is linear for each NAPL, and the general ratio of
        
        
          imbibition over drainage is less than 1.0 for all NAPLs, which
        
        
          confirms that some contaminant is removed by water during the
        
        
          imbibition stages. It can also be noticed how the residual
        
        
          saturation ratio (imbibition/drainage) is different for each
        
        
          NAPL, and follows the progression (from larger to smaller) N-
        
        
          decane > Ethylbenzene > Diesel 2 > Low Viscosity Paraffin >
        
        
          Paraffin Liquid, which is their exact inverse order when
        
        
          comparing their viscosity values. In fact, if we plot viscosity
        
        
          versus residual saturation ratio, we will find a logarithmic
        
        
          relationship between them (Figure 5, right), which could help us
        
        
          predict the residual saturation of any NAPL after imbibition
        
        
          processes, if the residual saturation after the drainage process is
        
        
          known. Additional NAPLs need to be tested to improve the
        
        
          accuracy of this relationship.
        
        
          7 CONCLUSIONS
        
        
          We have confirmed that the relationship between Optical
        
        
          Density (
        
        
          
            D
          
        
        
          
            i
          
        
        
          ) and water and LNAPL saturation values (
        
        
          
            S
          
        
        
          
            w
          
        
        
          and
        
        
          
            S
          
        
        
          
            o
          
        
        
          ) is approximate linear, as predicted by the
        
        
          
            Beer-Lambert Law
          
        
        
          
            of Transmittance
          
        
        
          , for ten different NAPLs with very different
        
        
          density and viscosity values (0.73 ≤ ρ ≤ 1.20 g/cm
        
        
          3
        
        
          ; 1.4 ≤ ν ≤
        
        
          1000 mPa∙s). Due to this finding, the
        
        
          
            Simplified Image Analysis
          
        
        
          
            Method
          
        
        
          can be safely used to assess water and NAPL saturation
        
        
          distributions in porous media subject to dynamic conditions, for
        
        
          a broad range of NAPLs. In our research, we applied this
        
        
          method to study the behavior of five different NAPLs in
        
        
          experimental columns subject to drainage and imbibition
        
        
          processes, and confirmed that light NAPLs can effectively get
        
        
          trapped below the water table, despite their lower than water
        
        
          density values. We also found a logarithmic relation between
        
        
          viscosity and residual saturation ratios of different NAPLs that
        
        
          will help us predict their residual saturation values after
        
        
          imbibition processes, when their respective value after drainage
        
        
          processes are known. In the next step of this study, additional
        
        
          NAPLs will be tested to improve the accuracy of this
        
        
          relationship.
        
        
          8 REFERENCES
        
        
          Australia DSEWPC. 1999. Substance list and thresholds: National
        
        
          pollutant inventory. Retrieved 01/02/2012, from 
        
        
        
          npi.gov.au/substances/list-of-subst.html.
        
        
          Capiro, N. L., Stafford, B. P., Rixey, W. G., Bedient, P. B. and Alvarez,
        
        
          P. J. J. 2007. Fuel-grade ethanol transport and impacts to
        
        
          groundwater in a pilot-scale aquifer tank.
        
        
          
            Water Research
          
        
        
          41(3):
        
        
          656-664.
        
        
          Environment Canada. 2010. National pollutant release inventory.
        
        
          
            Canada Gazette
          
        
        
          . 144.50: 3112-3142.
        
        
          Fagerlund, F., Illangasekare, T. H. and Niemi, A. 2007. Nonaqueous-
        
        
          phase liquid infiltration and immobilization in heterogeneous
        
        
          media: 1. Experimental methods and two-layered reference case.
        
        
          
            Vadose Zone J
          
        
        
          6(3): 471-482.
        
        
          Flores, G., Katsumi, T., Inui, T. and Kamon, M. 2011. A simplified
        
        
          image analysis method to study LNAPL migration in porous media.
        
        
          
            Soils and Foundations
          
        
        
          51(5): 835-847.
        
        
          Kechavarzi, C., Soga, K. and Wiart, P. 2000. Multispectral image
        
        
          analysis method to determine dynamic fluid saturation distribution
        
        
          in two-dimensional three-fluid phase flow laboratory experiments.
        
        
          
            Journal of Contaminant Hydrology
          
        
        
          46(3-4): 265-293.
        
        
          Lenhard, R. J. and Parker, J. C. 1987. Measurement and prediction of
        
        
          saturation-pressure relationships in three-phase porous media
        
        
          systems.
        
        
          
            Jnl. of Contaminant Hydrology
          
        
        
          1(4): 407-424.
        
        
          Mercer, J. W. and Cohen, R. M. 1990. A review of immiscible fluids in
        
        
          the subsurface: Properties, models, characterization and
        
        
          remediation.
        
        
          
            Journal of Contaminant Hydrology
          
        
        
          6(2): 107-163.
        
        
          Skoog, D. A., Holler, F. J. and Crouch, S. R. 2007.
        
        
          
            Principles of
          
        
        
          
            instrumental analysis
          
        
        
          . Belmont, CA, Thomsom Brooks/Cole.
        
        
          UK Environment Agency. 2011. Pollution inventory substances:
        
        
          Pollution inventory. Retrieved 01/02/2012, from 
        
        
        
          environment-agency.gov.uk/pi.
        
        
          US EPA. 2011. Toxics release inventory (TRI): Toxic chemical list.
        
        
          Retrieved 01/02/2012, from 
        
        
        
          /
        
        
          index.htm.
        
        
          0
        
        
          10
        
        
          20
        
        
          30
        
        
          40
        
        
          50
        
        
          60
        
        
          0
        
        
          5
        
        
          10
        
        
          15
        
        
          20
        
        
          25
        
        
          30
        
        
          35
        
        
          NAPL saturation at the end of drainage stage (%)
        
        
          NAPL saturation at the end of
        
        
          imbibition stage (%)
        
        
          N-decane
        
        
          Ethylbenzene
        
        
          Diesel 2
        
        
          Low Viscosity Paraffin
        
        
          Paraffin Liquid
        
        
          
        
        
          =
        
        
          1
        
        
          .4
        
        
          m
        
        
          P
        
        
          a
        
        
          ·s
        
        
          
        
        
          =
        
        
          1
        
        
          .5
        
        
          
        
        
          =
        
        
          4
        
        
          
        
        
          =
        
        
          7
        
        
          
        
        
          =
        
        
          1
        
        
          7
        
        
          0
        
        
          1
        
        
          10
        
        
          100
        
        
          1000
        
        
          0
        
        
          0.2
        
        
          0.4
        
        
          0.6
        
        
          0.8
        
        
          Viscosity
        
        
          
        
        
          (mPa·s)
        
        
          Residual saturation ratio
        
        
          (imbibition/drainage)
        
        
          Figure 5. Comparison of residual saturation at the end of drainage and imbibition stages for 5 different NAPLs (left) and relationship between their
        
        
          viscosity and residual saturation ratio (right)