The limit of the statistic R/P in models of oil discovery and production

When assessing the oil reserves of a given region, often the statistic S = R/P is used, where R denotes the amount of proven reserves in the region and P is the current rate of production. This statistic can be misleading because the rate of production typically varies over time.
We investigate a general framework for oil discovery and production and find the limit of S as time tends to infinity for several selected models.

Published in: International Journal of Pure and Applied Mathematical Sciences, accepted for print
Available from: Queen Mary, University of London