文摘
In the process of methane oxidation by nitrite ion, the latter, when in high concentration, inhibits the oxidation process. The effect of inhibition is incorporated in the proposed model, describing the dynamics of anaerobic oxidation of methane and its heavy fractions δ13CH4 and δC2H1H3 by nitrite ion. Two substrates—methane and nitrite—are considered in a modified Monod function, describing the oxidation rate. The model is calibrated against experimental data given in [8]. The dynamic behavior of the system under a deficiency of methane or nitrite ion is described. The dynamics of δ13CH4 and δC2H1H3 are shown to be governed by the oxidation dynamics of total methane CH4. By contrast to the conventional opinion that Rayleigh equation corresponds to 1st-order kinetics in terms of substrate concentration, this study shows that Rayleigh equation can be derived from dynamic equations for methane with heavy isotopes (13C and 2H), whatever the kinetic type of total methane oxidation.Keywordsanaerobic methane oxidationnitrite inhibitionstable carbon and hydrogen isotopeskinetic effect of fractionationRayleigh equationmathematical model