Chapter 10 - Mathematical Models in Oil and Gas Exploration and Production (Static Geologic Systems)

Abstract

The chapter discusses mathematical models used in oil and gas exploration, and its production focusing mainly on geologically static systems. The chapter presents empirical equations of interrelationships among composition, parameters of crude oil, and temperature, derived using experimental data. These equations are not only of practical value but also of theoretical interest, and provide theoretical correlations among the crude oil parameters that could be used in calculations involving temperature, density, and contents of asphaltenes, plus resins and low-boiling fractions. The chapter presents the uses of extrapolation of graphical or analytical models beyond the limits of the experimental data, using an example to predict the viscosity of crude oils of different densities at temperatures up to 100-120°C associated with depths of 5500 to 6500 meters. Deposits located in the more bathypelagic parts of the Apsheron- Pre-Balkhan threshold occur at such depths. These deposits are most likely to contain gas-condensate fluids because of the low viscosity of fluids at reservoir temperatures.