New Approach in Geological Modelling of the Reservoir Based on the Spectral Theory

The paper considers the problem occurring in geological modelling of the oil field – the problem of well data interpolation and further reconstruction of the rock properties of the reservoir in the space between the wells. We introduce a new method based on the spectral theory for analysis and modelling of the reservoir rock properties. In the method for well log data representation the Fourier decomposition is used and then each harmonic is interpolated independently. The method allows to obtain more realistic geological models in case of complex and low-permeability reservoirs in comparison with conventional geostatistical methods. An application of this methodology to the real field data is presented which shows encouraging results. We expect this approach to make real improvement in quality and predictive value of the geological models.