Over the past two decades, the modeling of fluid flow in a perforated pipe with influx through orifices on the pipe wall has been recognized as an important issue especially in the field of horizontal wells. This article provides a detailed review of the current models which are all based on laboratory experiments. Results show that these models can be mainly divided into two categories according to the number of perforations. One is developed based on experiments with one single perforation between the two pressure ports, which includes Asheim model, Yalniz model and Zhou model. This kind of models could not be readily used to calculate the pressure losses of real flow in the horizontal wellbore without modification and thus has a very limited applicability. Another is developed based on experiments with multiple perforations, which includes Siwon model, Yuan model, Ouyang model, Su model and Wang model. Although these models are appropriate for the pressure losses prediction along the completion, all of them are semi-empirical, which implies the enormous complexities and difficulties of developing accurate ones. Moreover, Siwon model and Yuan model are relatively the most comprehensive models which can be used to account for the various sensitive factors affecting the flow behaviors in a perforated pipe. The equivalent friction factor due to orifices on the pipe surface of Su model has more theoretical foundation with greater room for improvement compared to the Siwon model. This review of the published models of the pressure drop in a perforated pipe with influx indicates that more efforts and work should be done to acquire a better understanding of the complex flow mechanism and build a unified model which is more theoretical and robust.

review, modeling, horizontal wellbore, perforation, pressure drop, single-phase flow.