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

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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


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