Error propagation by the Monte Carlo method in geochemical calculations

Details Error propagation by the Monte Carlo method in geochemical calculations Error propagation by the Monte Carlo method in geochemical calculations

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gecoa..40.1533a&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 40, Issue 12, pp.1533-1538

Computer Science

9

Scientific paper

The Monte Carlo method of error propagation consists of repeated calculation of a quantity, each time varying the input data randomly within their stated limits of precision. The distribution of the calculated quantity then shows the effects of the imprecision of the data. It is an inefficient but very simple method of error propagation. Three examples are given--calculation of the free energy of a compound from phase equilibrium data; calculation of a reaction equilibrium temperature from free energy data; and the calculation of sulfide solubilities. Fifty iterations were generally found to be sufficient in these cases. The method is also useful where precision or accuracy of the data is not known, since the effect of various assumed possible errors is easily calculated.

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