STOMP

Solute/Fluid Interaction Card Options (W)

Effective Diffusion Options

Constant

The constant molecular diffusion option assumes that the effective diffusion coefficient in the porous media is equal to the free-water diffusion coefficient. For most simple aqueous species the free-water diffusion coefficient is about 10-5 cm2/s (10-9 m2/s).   

Symbols

effective diffusion coefficient, m2/s
free water diffusion coefficient, m2/s

Conventional

In a saturated porous medium, the cross-sectional area available for diffusion in the aqueous phase is reduced by the porosity. In unsaturated porous media there is an additional reduction in cross-sectional area available for diffusion as a result of the reduced volumetric water content.

Symbols

effective diffusion coefficient, m2/s
free water diffusion coefficient, m2/s
aqueous phase tortuosity
actual aqueous liquid saturation
diffusive porosity
  
Empirical (Kemper and van Schaik)

Symbols

effective diffusion coefficient, m2/s
free water diffusion coefficient, m2/s
actual aqueous liquid saturation
diffusive porosity
fitting coefficient
fitting coefficient
 
Power-Function

Symbols

effective diffusion coefficient, m2/s
free water diffusion coefficient, m2/s
actual aqueous liquid saturation
diffusive porosity
fitting coefficient
fitting coefficient
 

Solid/Aqueous Partition Options:

Continuous

Symbols

solute concentration in aqueous phase, 1/m3
solute concentration, 1/m3
diffusive porosity
total porosity
actual aqueous liquid saturation
porous media grain density, kg/m3
solute solid-aqueous distribution coefficient, m3 aqu/kg solid

Noncontinuous

Symbols

solute concentration in aqueous phase, 1/m3
solute concentration, 1/m3
diffusive porosity
total porosity
actual aqueous liquid saturation
porous media grain density, kg/m3
solute solid-aqueous distribution coefficient, m3 aqu/kg solid

Reaction Options

No Reaction

No reaction occurs.

Radioactive Decay

Decay or generation of solutes occurs in the STOMP simulator through an Arrhenius type kinetic reaction according to

The decay-rate constant can be related to the radionuclide half-life according to

Production of progeny solutes from parent solutes is computed through an Arrhenius type kinetic reaction according to

The chain decay fraction is a function of the parent-progeny pair, and the subscripts j and k indicate parent and progeny solutes respectively.

Symbols

solute concentration of component i, 1/m3
solute concentration of component j, 1/m3
solute concentration of component k, 1/m3
time, s
radioactive decay constant of component i, 1/s
radioactive decay constant of component j, 1/s
radioactive decay half-life of component i, s
chain decay fraction for radionuclide pair jk

First-Order Reactions

Decay can also be simulated based on first-order and Monod chemical reactions. For first-order reactions, the reaction rate for each chemical reaction is dependent on the molar concentration of the primary reactant. The reaction rate factor is a function of the primary and secondary reactant molar concentrations, equation stoichiometry, reaction half-life, and simulation time step according to the following equations:

Symbols

reaction rate factor
component of reaction rate factor
primary reactant concentration, 1/m3
secondary reactant concentration, 1/m3
moles of primary reactant pr
moles of secondary reactant r
time, s
reaction half-life, s
 

References

Campbell, GS. 1985. Soil Physics with Basic: Transport Models for Soil-Plant Systems. Elsevier Science Publishers, New York, New York.

Kemper, WD and JC van Schaik. 1966. "Diffusion of Salts in Clay-Water Systems," Soil Sci. Soc. Am. J., 30:534-554.

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