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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

Methane from SWDS

New Norwegian calculating model

Per Svardal


2004 revision of model from 1999

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.


Basic mathematics first order reaction

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)


Important theory

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.


Yearly steps in new calculating model

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).


The motor of the new model

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)


The workbook

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



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