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New Norwegian Model for Methane Calculation from Solid Waste Disposal Sites

This document outlines the revised 2004 Norwegian model for calculating methane emissions from solid waste disposal sites (SWDS), building upon the original 1999 model. It highlights issues such as the complexity of the previous model and flaws in the mathematical calculations. The first-order reaction theory is explained, where the amount of methane produced is proportional to dissimilable organic carbon (DDOC). The new model introduces a systematic approach to calculate annual methane emissions, taking into account reactants deposited and dissimilated over the years.

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New Norwegian Model for Methane Calculation from Solid Waste Disposal Sites

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  1. Methane from SWDS New Norwegian calculating model Per Svardal

  2. 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.

  3. 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)

  4. 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.

  5. 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).

  6. 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)

  7. 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

  8. Metan fra avfallsdeponi M D

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