Fractal approach to analysis of oil production process
The paper suggests fractal analysis methods of time series fluctuations in oil production. Some method of fractal dimension calculation of time series is offered for fluctuations subject to laws of fractal geometry. Sensitivity of the method depending on the data amount is assessed. Some criterion to be applied for estimation of processes state with close fractal dimensions is proposed. Non-parametric criteria capable of picking out the changes in dynamic system behavior are developed for fluctuations which are not subject to straightening on the fractal plane. Application of the suggested criteria is tested on model and practical examples of oil production. Retrospective analysis of oil wells performance has been carried out as an example of practical application. The calculation algorithm of the suggested criteria is easily realized, being of great importance while performing practical engineering calculations.