A computer-based system analyzes reservoir simulation results with a rule-based event monitor to trigger appropriate warnings in the event any of a number of applicable reservoir operation conditions is detected as likely to occur. The conditions may be automatically analyzed on multi-dimensional data during successive time steps to detect events indicated as needing attention or analysis and thus to alert reservoir engineers about operating conditions in the reservoir so that the engineers may make appropriate operational or simulation changes. The conditions may also be automatically analyzed in a batch processing mode of a set or subset of available time steps to detect and generate a log of events encountered that are indicated as needing attention or analysis.