General form of the ADE: sink/source term Chemical sink/source term.

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Presentation transcript:

General form of the ADE: sink/source term Chemical sink/source term

Simple form of the ADE Uniform 1D flow; longitudinal dispersion; sink/source term

General form of the ADE: sink/source term Chemical sink/source term

We will consider two types of chemical reactions 1.Sorption ( adsorption & absorption ) 2.1 st order irreversible reactions ( radioactive decay, hydrolysis, some forms of biodegradation )

(Zheng & Bennett) LEA sorption 1 st order

Zheng & Bennett, Fig. 4.3 = v/v c Sorption (or retardation) R > 1

= v/v c Zheng & Bennett, Fig. 4.3

Zheng & Bennett, Fig. 4.2 Linear Isotherm LEA (Local Equilibrium Assumption)

Linear Isotherm from MT3DMS manual

Simple form of the ADE Uniform 1D flow; longitudinal dispersion; sink/source term; retardation Retardation Factor

Simple form of the ADE = v c R = v/v c

Zheng & Bennett, Fig. 4.2 Linear Isotherm Freundlich Isotherms Unlimited sorption sites

Freundlich Isotherm

Langmuir Isotherm Limited sorption sites = maximum sorption capacity

Langmuir Isotherm

Spitz and Moreno (1996) fraction of organic carbon

Spitz and Moreno ( 1996)

General form of the ADE: Chemical sink/source term

Zheng & Bennett linear

We will consider two types of chemical reactions 1.Sorption ( adsorption & absorption ) 2.1 st order irreversible reactions ( radioactive decay, hydrolysis, some forms of biodegradation ) 

Simple form of the ADE Uniform 1D flow; longitudinal dispersion; sink/source term; retardation; 1 st order irreversible reaction ( is the same for the dissolved phase and the sorbed phase) 1 st order rate constant = ln 2 / half life = 0.693/ t ½

Zheng & Bennett