Modelling Unsteady Flow of Gas and Heat Transfer in Producing Wells

Abstract

During well operation transient flows develop as soon as production begins and further withdrawal continues to cause disturbances which resulted into flow propagation throughout the period with time. The whole scenario experienced significance changes in energy exchange mechanism of the wellbore and formation which lead to unsteady production. Previous predictions are mostly based on steady state condition but the actual situation of gas well is unsteady due to the operation and geometry of the well. This paper presented a model based on unsteady state flow of gas in the producing well taking into consideration the general physical situation of the well(the formation, the wellbore and surface materials).Systems of partial differential equations which account for the unsteady flow with their necessary boundary conditions are presented and solved by finite scheme method.