On the assessment of pseudo steady-state horizontal well productivity: application in rectangular and square drainage areas

The productivity index is accounted as one of the main characteristics of well performance, and is of much importance in assessing the production amount/volume of liquids from wells. Furthermore, pseudo skin factor is an effective parameter in calculations related to the productivity index of producing oil/gas wells. In this study, an accurate and reliable method is proposed to estimate the pseudo skin factor as a function of dimensionless length and the ratio of horizontal well length over drainage area in both square and rectangular drainage areas. To measure the accuracy performance of the newly developed method, a smart technique called least square support vector machine algorithm was used as a comparative method. The result demonstrate that the developed method can estimate the pseudo skin factor data with lower average absolute relative deviation compared to the smart technique (9.2 against 11.4%).