Dm. Campbell et Mt. Klein, CONSTRUCTION OF A MOLECULAR REPRESENTATION OF A COMPLEX FEEDSTOCK BY MONTE-CARLO AND QUADRATURE METHODS, Applied catalysis. A, General, 160(1), 1997, pp. 41-54
The value of representing a complex petroleum mixture in terms of a sm
all (similar to 10-100) number of molecules motivated the development
of a novel algorithm for building a representative set of molecular st
ructures. This hybrid Monte Carlo-quadrature method represents a molec
ule as a collection of molecular attribute building blocks (e.g. numbe
r of aromatic rings, number of naphthenic rings, number and length of
sidechains, etc.). Each attribute is represented by a probability dist
ribution function which can be sampled via Monte Carlo simulation to y
ield a large ensemble of representative molecules, the properties of t
he ensemble being constrained to match experimentally measured analyti
cal data. In order to represent the information contained within these
probability distribution functions in a reduced form, a quadrature me
thod has been developed for the selection of an optimal small set (sim
ilar to 10-20) of molecules. The mole fractions of this small set are
further optimized to match experimental data. Both the small and large
ensembles are capable of matching a large number of key analytical pr
operties for a complex petroleum feedstock.