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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 Two of the reasons were: Complicated model, difficult, poor view of calculations (black box).

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methane from swds

Methane from SWDS

New Norwegian calculating model

Per Svardal

2004 revision of model from 1999
Metan fra avfallsdeponi2004 revision of model from 1999
  • Many reasons. For reasons and results see
  • Two of the reasons were:
    • Complicated model, difficult, poor view of calculations (black box).
    • Faulty mathematics.
basic mathematics first order reaction
Metan fra avfallsdeponiBasic 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)

important theory
Metan fra avfallsdeponiImportant 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.
yearly steps in new calculating model
Metan fra avfallsdeponiYearly 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).
the motor of the new model
Metan fra avfallsdeponiThe ”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)
the workbook
Metan fra avfallsdeponiThe 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