An innovative application of advanced mathematics has provided geoscientists and engineers with an accurate, model-independent way to predict critical reservoir properties from well log data. Extending the application of RBF mapping techniques, such parameters as molecular compositions; saturations, aromatics, resins, and asphaltenes; fractions; and viscosities of live crude oils have been estimated with unprecedented accuracy. The success in accurate prediction of critical parameters in complex situations is highly encouraging. The application of RBF mapping heralds a breakthrough in formation and fluid characterization and hints at potential applications in well stimulation analysis and prediction as well as enhanced recovery design and evaluation.