Análise da variação de pressão em poço vertical com escoamento monofásico de gás utilizando o método de Beggs e Brill (1973)

Abstract

The study of fluid flow in petroleum wells is a stage in the production process that involves extensive research. In this stage, the knowledge of the pressure profile along the well has become an important factor in the study of hydrocarbon flow in petroleum wells. Thus, the objective of this work is to analyze the variation of pressure along a well through the implementation of Beggs and Brill method using Microsoft Office Excel® (2013). This analysis consists of refining the well for different depths, dividing it in sections, such that the minimal number of sections to represent the pressure profile with the smallest error possible is obtained. Furthermore, a comparison of the relative error for three different fluid densities is made and, after that, profiles for properties such as compressibility factor, flow rate and pseudo-reduced pressure and temperature are obtained. A marching algorithm was inserted in order to obtain a better approximation of reality, since all the properties are calculated by sections and are based in correlations that account for pressure and temperature changes in every well section. In that sense, the data obtained from the spreadsheet are exposed graphically, favoring the reading and comprehension of the results. The spreadsheet showed good performance on the simulation of a single-phase gas flow, showing itself as a learning tool for studying petroleum production.