PowerPoint PresentationSlide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Slide 18Slide 19Slide 20Slide 21Slide 22General form of the ADE:sink/source termChemical sink/source termtccqxcvxcDss22Simple form of the ADEUniform 1D flow; longitudinal dispersion;sink/source termGeneral form of the ADE:sink/source termChemical sink/source termWe will consider two types of chemical reactions1. Sorption (adsorption & absorption)2. 1st order irreversible reactions (radioactive decay, hydrolysis, some forms of biodegradation)(Zheng & Bennett)LEAsorption1st orderZheng & Bennett, Fig. 4.3= v/vcSorption (or retardation)R > 1= v/vcZheng & Bennett, Fig. 4.3Zheng & Bennett, Fig. 4.2Linear IsothermLEA (Local Equilibrium Assumption)Linear Isothermfrom MT3DMS manualtcRcqxcvxcDss22Simple form of the ADEUniform 1D flow; longitudinal dispersion;sink/source term; retardationRetardation FactortcRcqxcRvxcRDss22Simple form of the ADE= vcR = v/vcZheng & Bennett, Fig. 4.2Linear IsothermFreundlich IsothermsUnlimited sorption sitesFreundlich IsothermLangmuir IsothermLimited sorption sites= maximum sorption capacityLangmuir IsothermSpitz and Moreno (1996)fraction of organic carbonSpitz and Moreno ( 1996)General form of the ADE:Chemical sink/source termZheng & BennettdbKR1linearWe will consider two types of chemical reactions1. Sorption (adsorption & absorption)2. 1st order irreversible reactions (radioactive decay, hydrolysis, some forms of biodegradation)tcRRccqxcvxcDss22Simple form of the ADEUniform 1D flow; longitudinal dispersion;sink/source term; retardation; 1st orderirreversible reaction ( is the same for thedissolved phase and the sorbed phase)1st order rate constant= ln 2 / half life = 0.693/ t½Zheng &