Fractal analysis of chaotic fluctuations in oil production

Abstract

Diagnosis criteria of dynamic series chaotic data are described in this paper. The chaotic data can conventionally divide in rectifiable and non-rectifiable in fractal surface. A simplified approach of fractal dimension evaluation of dynamic series has been developed. Developed a coefficient for calculating of processes with neighbor fractal dimensions. Offered nonparametric criteria for non-rectifiable on fractal surface chaotic data. The criteria are can recognize changing in dynamical system state. The offered methods have been validated on modeling and oil field cases. Diagnosis of oil well performance has been realized as a case study of practical using. Evaluation of the offered methods is easily carried out which is valuable in practical computations.