lecture21 - Stochastic Analysis of Subsurface Transport CWR...

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Stochastic Analysis of Subsurface Transport CWR 6536 Stochastic Subsurface Hydrology
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Subsurface Solute Transport Assumes constant porosity, non-decaying, non- sorbing, dilute solute • D ij molecular diffusion and hydrodynamic dispersion mixing in individual pores mixing of pore channels mixing by molecular diffusion = + xj c D x x c v t c ij i i i
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Lab-Scale Dispersion At the laboratory scale it has been found that hydrodynamic dispersion can be represented as a Fickian process provided the solute has travelled over a sufficient number of pore volumes. Lab expts have shown α l t grows with non-uniformity of particle size for the same media particle size. However constant value of D ij determinable given transport over multiple pore volumes ( 29 v v v v D D j i t l ij t m ij α α δ α - + + = *
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Field Scale Dispersion In addition to molecular diffusion and hydrodynamic dispersion get apparent dispersion
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