Modeling of bottom-hole pressure dynamics in a directional well

The paper presents solutions to problems of nonstationary filtration to an imperfect well with an arbitrary angle of inclination from the vertical, allowing for the interpretation of data based on pressure transient test and production forecasting. Solutions are obtained for various conditions on the top and bottom of the reservoir, while two algorithms are implemented to describe the bottom-hole pressure: a multi-segment and a single-segment algorithm with the determination of an equal pressure point. A computational experiment shows that the calculation results obtained using single- and multi-segment algorithms are in good agreement.