DefinePK

Abstract

The analytical model for predicting the pressure at any point in a flow string from the bottom hole to the well head is essential in determining optimum production string dimension and in the design of gas-lift installations.A variety of models for predicting pressure transience in flowing wells have been reported in the literatures. Most of the early models were based on steady state fluid flow equation that did not consider time factor which results in inaccurate at early production time. Hence, there is the need for developing a model capable of estimating pressure transverse accurately at all times in flowing well bore.This study presents equation for pressure drop in flowing vertical well without neglecting any term in the momentum equation by the inclusion of accumulation and kinetic term. The analytical solution of the resulting differential equation gives functional relationship between flow rates and pressure at any point in flowing well at any given time. The results show improvement over previous studies as the assumptions previously neglected were all considered.