Quantifying magma mixing with the Shannon entropy: Application to simulations and experiments

摘要: Abstract We introduce a new quantity to petrology, the Shannon entropy, as tool for quantifying mixing well rate of production hybrid compositions in system. The entropy approach is applied time series numerical simulations and high-temperature experiments performed with natural melts. note that both cases increases linearly during initial stages then saturates toward constant values. Furthermore, chemical elements different mobilities display rates increase entropy. This indicates composition attained at times generating wide range spatio-compositional domains which further apparent complexity process. Results from application analysis are compared concept Relaxation Concentration Variance (RCV), measure recently introduced petrology quantify exchanges magma mixing. derive linear expression relating change concentration variance show combined use RCV provides most complete information about space As consequence, detailed this fundamental petrogenetic volcanic process can be gathered. In particular, used complement method mobility systems, obtain compositional heterogeneities, empirical relationships linking between interacting magmas time.