Abstract
One of the exponentially important drilling parameter has many misconceptions, and prompt confusion is the drilling kick. The current conventional approach assume a single-phase bubble model and neglect the multiphase flow in the drilling kick calculations, which lead to diversified solutions and misconceptions in well design. Hence, this study presents a mathematical model to analyse the behaviour of gas-liquid flow in different well profiles, which are vertical and deviated wells up to 60 degree inclination. The model analysed the annular pressure and temperature profiles as the influx rise to the surface. The methodology constructed to achieve the objective involve an iterative mathematical model to calculate pressure drop across the wellbore and temperature gradient for single-phase and multiphase flow models, indicating the type of flow regimes at each depth. The results show the impact of the selected parameters on the pressure and temperature generated, which eventually influence the drilling kick calculations. The annulus pressure increases 44.37% from multiphase vertical well annulus pressure to single-phase annulus pressure, and the pressureincrement is higher in highly deviated well profile. It is important to precisely and accurately estimate the gas void fraction since it influences all two-phase flow parameters such as pressure drop, mixture density, and gas velocity in the annulus. The pressure and temperature profile then developed into a model which incorporates the drilling kick concept. Apart from that, the Z deviation factor which indicates the gas solubility was also studied and included in the simulation.Keywords: Annular flow, flow regime, multiphase drilling kick, vertical well, inclined well
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