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

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

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

4. 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 )

5. (Zheng & Bennett) LEA sorption 1 st order

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

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

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

9. Linear Isotherm from MT3DMS manual

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

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

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

13. Freundlich Isotherm

14. Langmuir Isotherm Limited sorption sites = maximum sorption capacity

15. Langmuir Isotherm

16. Spitz and Moreno (1996) fraction of organic carbon

17. Spitz and Moreno ( 1996)

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

19. Zheng & Bennett linear

20. 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 ) 

21. 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

22. Zheng & Bennett