A Coupled model to Predict Interformation Flow Through an Abandoned Well

摘要

This paper presents a novel approach to predict flow between two formations coupled by an abandoned well. A steady state abandoned well model is derived analytically and applied using a 'series of steady states' to create the transient flow response. The model is verified by comparison to the results of a transient analytical interformation well model for a single injector given by Avci. Thsi model is the first to include true pressure losses in the abandoned wellbore calculated from established equations for turbulent or laminar pipe flow, plugs, and a casing perforation. The model can also predict flow behind pipe through an open or plugged annulus or a fracture in the annular plug. Finally, the model is the first to incorporate the effect of pressure variations due to production or injection i nthe overlying formation on the well flow.