Selection and justification of polynomial generators for encoding telemetric information in Autonomous well systems

Abstract

In this paper, the issue of effective implementation of wireless packet data transmission for oil production systems is raised in order to form a competence-based approach to solving key problems of field development in conditions of disequilibrium and heterogeneity of geological and field data. Using the proof of the theorem on the definition of the convolutional code over the Galois field, boundary conditions are obtained, the creation of which is necessary in order to implement high noise immunity when transmitting telemetric signals from wells to the “day surface”. The algorithm presented in the study is based on the application of equations of various orders to level out the significant heterogeneity of field data, which, in conditions of a widespread increase in the number of wells, has a significant impact on making effective and high-quality management decisions. The results of the study can also serve to determine the correction capabilities provided by digital signal processing computing systems in autonomous downhole telemetry modules.