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General form of the ADE:PowerPoint Presentation

General form of the ADE:

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General form of the ADE:

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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
- Sorption (adsorption & absorption)
- 1st order irreversible reactions (radioactive decay,
- hydrolysis, some forms of biodegradation)

sorption

1st order

LEA

(Zheng & Bennett)

R > 1

Sorption (or retardation)

= v/vc

Zheng & Bennett, Fig. 4.3

= v/vc

Zheng & Bennett, Fig. 4.3

Linear Isotherm

LEA (Local Equilibrium Assumption)

Zheng & Bennett, Fig. 4.2

Linear Isotherm

from MT3DMS manual

Simple form of the ADE

Retardation Factor

Uniform 1D flow; longitudinal dispersion;

sink/source term; retardation

= vc

Simple form of the ADE

R = v/vc

Freundlich Isotherms

Linear Isotherm

Unlimited sorption sites

Zheng & Bennett, Fig. 4.2

Freundlich Isotherm

Langmuir Isotherm

= maximum sorption capacity

Limited sorption sites

Langmuir Isotherm

fraction of organic carbon

Spitz and Moreno (1996)

Spitz and Moreno ( 1996)

General form of the ADE:

Chemical sink/source term

linear

Zheng & Bennett

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

Simple form of the ADE

1st order rate constant

= ln 2 / half life = 0.693/ t½

Uniform 1D flow; longitudinal dispersion;

sink/source term; retardation; 1st order

irreversible reaction ( is the same for the

dissolved phase and the sorbed phase)

Zheng & Bennett