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Methane from SWDS. New Norwegian calculating model. Per Svardal. 2004 revision of model from 1999. Many reasons. For reasons and results see www.sft.no/publikasjoner/luft/2079/2079.pdf Two of the reasons were: Complicated model, difficult, poor view of calculations (black box).
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Methane from SWDS New Norwegian calculating model Per Svardal
Metan fra avfallsdeponi 2004 revision of model from 1999 • Many reasons. For reasons and results see www.sft.no/publikasjoner/luft/2079/2079.pdf • Two of the reasons were: • Complicated model, difficult, poor view of calculations (black box). • Faulty mathematics.
Metan fra avfallsdeponi Basic mathematics, first order reaction Rate of reaction equation, reactant transforming to methane: dDDOC =DDOC * k * e^-kt *dt Integrated equation for mass calculations, year t: DDOCdiss = DDOC * (e^-k(t-1) – e^-kt) (DDOC = dissimilable organic carbon)
Metan fra avfallsdeponi Important theory • First order reaction • Amount of product formed (DDOCdiss) always proportional to the amount of reactant (DDOC) • When we know the full amount of DDOC it is of no concern to the calculations when the DDOC came into the SWDS: Every year can be regarded as the first year. • First order reaction equation the same as the compound interest equation, with negative interest rate.
Metan fra avfallsdeponi Yearly steps in new calculating model • Calculate reactant deposited (DDOCd) • Add this to the reactant left as not dis-similated from last year (DDOCd+DDOCly) • Calculate DDOCdiss from 2. • Calculate the amount of methane formed from DDOCdiss. • Calculate DDOC not dissimilated for next year’s calculations (new DDOCly).
Metan fra avfallsdeponi The ”motor” of the new model Two main equations: DDOCdiss = (DDOCd+DDOCly) * (1-e^-k) DDOCly = (DDOCd+DDOCly) * e^-k • (The presented workbook model is a little more complicated because it also handles the option of reaction start in the year of deposition)
Metan fra avfallsdeponi The workbook • Sheet 3 • Parameters • Sheet 4 • Material input and final result • Sheets 5-7 • Calculations for the different materials • Sheet 8 • The accumulation of plastics