Mathematical modeling of economic indices for oil field development

We construct a mathematical model for the quantitative estimation of investment projects for developing oil fields at the stage of conceptual design. As the base of such a model we use the concept in which the field is considered as a cluster of single-type elements of an area well pattern. The model operates on the net present value as a continuous function of the process parameters and enables us to analyze a broad spectrum of possible options in implementing the investment project. Many important relations between the technical and economical parameters are obtained in a concise and practically suitable form through the application of operational calculus and the Laplace transform.