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Mass Transport of Pollutants. Dense Non-Aqueous Phase Liquids. NAPLs – Insoluble in water and Separate phase Dense NAPLs – More dense than water Chlorinated hydrocarbons Trichloroethylene-TCE Tetrachloroethylene -PCE Density increases with increasing halogenation
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Dense Non-Aqueous Phase Liquids • NAPLs – • Insoluble in water and • Separate phase • Dense NAPLs – • More dense than water • Chlorinated hydrocarbons • Trichloroethylene-TCE • Tetrachloroethylene-PCE • Density increases with increasing halogenation • Density difference of 0.1% causes sinking
Light Non-Aqueous Phase Liquids • Light NAPLs • Lighter than water • Petroleum hydrocarbons • Oil • Gasoline • Density difference between water and NAPL of 1% can influence flow • Low viscosity NAPLs migrate more rapidly than high viscosity NAPLs
Transport Processes • Conservation of Mass for dissolved substances in groundwater Rate of change of mass = Flux of mass out – Flux of mass in ± gain or loss of mass due to reactions Mass flux in Mass flux out z y x
Solutes • Conservative (nonreactive) • Do not react with water or soil, do not biologically or radioactively decay • Nonconservative (reactive)
Physical Processes Controlling Flux • Advection • Solutes carried along by flowing groundwater • Diffusion • Transport by molecular diffusion • Dispersion • Transport by mechanical mixing
Advection • Advection • Solutes carried along by flowing groundwater • f = porosity • vx = average velocity • F = Advective flux = Total mass of solute which is carried across a unit area oriented normal to the bulk fluid motion
Diffusion • Diffusion • Molecular-based phenomenon • Net movement toward areas of lower concentration • F = mass flux per unit area per unit time (M/L2/T) • D* = apparent diffusion coefficient in soil (L2/T) • C = solute concentration (M/L3) • ∂C/∂x = concentration gradient (M/L3/L)
Dispersion • Mechanical Dispersion • Transport by mechanical mixing • F = mass flux per unit area per unit time (M/L2/T) • Dx= dispersion coefficient (L2/T) • C = solute concentration (M/L3) • ∂C/∂x = concentration gradient (M/L3/L)
Advection-Dispersion Equation • F= mass flux per unit area per unit time (M/L2/T) • Dx= dispersion coefficient (L2/T) • C = solute concentration (M/L3) • ∂C/∂x = concentration gradient (M/L3/L)
Mass Flux Mass flux in Mass flux out z y x
Mass Balance Equation Mass accumulation
Solution Solution
Error Function Values Homework: Problems 881 and 884