A Geomathematical Model Tested On An Oil Reservoir

Nowadays there is a greater need for detailed reservoir modelling in the oil industry. It is generally recognized that nearly all reservoirs are heterogeneous and idealization of rock characteristics in flow calculations is unrealistic regarding actual physical and textural conditions encountered in geologic formations. The heterogeneity of oil reservoirs considerably influences the distribution of fluids, as well as their displacement. It would be advantageous if a reservoir petroleum engineer was able to construct a precise mathematical model of the detailed reservoir rock variability characterizing the degree of reservoir heterogeneity in an unambiguous way. This paper presents a geomathematical model describing the spatial behaviour and distribution of the principal reservoir properties. The model is based on the Theory of Regionalised Variables and the Kriging technique. The model is performed by a set of computing programs and is tested on an Abu Dhabi oil reservoir in United Arab Emirates.