A mathematical simulation of the gas hydrate formation based on a gas mixture approximated to natural gas composition – CH₄+H₂S + CO₂+Xe at a normalized increase in hydrogen sulfide (H₂S) concentration in gas mixture from 3.08·10⁻⁴vol.% to 4.88 vol.%, at changes in the gas hydrate formation temperatures from 273.15 K to 283.15 K. It is shown that xenon (Xe) distribution coefficient decreases from 12.37 to 5.90, and is more dependent on the change in H₂S concentration than on the change in the gas hydrate formation temperature. Effective Xe recovery from natural gas at the gas hydrate formation temperature is 273.15 K, and at a minimum impurity concentration with a dissociation pressure close to Xe.

For efficient xenon (Xe) recovery from natural gas (NG), multiple gas hydrate crystallization was considered. The optimal stages’ number for effective Xe recovery from model gas mixtures with close composition to NG one was determined. Gas hydrate distribution’s coefficients are defined for these gases at each stage, and each iterations of the multiple gas hydrate crystallization. In CH₄+ H₂S+CO₂+ Xe gas mixture that is closest to NG composition, the maximum average Xe concentration in the gas hydrate phase was observed at the second stage of the multiple gas hydrate crystallization.

A study is performed of the effect process temperature and pressure have on the distribution of CO₂ and H₂S gas hydrate in a model methane-containing gas mixture of CH₄ (89.00 mol %)–CO₂ (5.00 mol %)–n-C₄H₁₀ (3.00 mol %)–N₂ (2.00 mol %)–H₂S (1.00 mol %) containing components of natural gas. Modeling is done at low (4.00 MPa) and high (8.00 MPa) pressures in the 272.15–278.15 K range of temperatures. The temperature dependences of the coefficients of the gas hydrate distribution of natural gas components are shown to differ. The maximum coefficients of the gas hydrate distribution of CO₂ and H₂S are 1.24 and 31.83, respectively, at a process temperature of 272.15 K and a pressure of 8.00 MPa. It is found that n-C₄H₁₀ in natural gas lowers the coefficient of the gas hydrate distribution of CO₂. It is concluded that natural gas deposits with low contents of n-C₄H₁₀ must be used to effectively concentrate CO₂ in the gas hydrate phase.