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Permeation models were modified to determine the permeability of C3H8, CH4 and H2 gases through the silica/PDMS nanocomposite membrane accurately. The average absolute relative error (AARE %) of permeation models is about 10–15% for low-sorbing gases of CH4 and H2 and approximately 30% for high-sorbing gas of C3H8. Furthermore, the gas solubility around the nanoparticles in the polymeric matrix is more than in the polymeric bulk due to sorption effects around the nanoparticles. Therefore, a new interface region is assumed to consider the sorption effects as a function of nanoparticle volume fraction and polymeric bulk permeability in the permeation models by genetic algorithm. It was found that the best-modified model for C3H8 and H2 is Lewis–Nielsen and for CH4 is Bruggeman. Finally, the AARE values were obtained less than 5% for C3H8 and less than 2% for CH4 and H2 that were in a good agreement with experimental data. |
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