Dimensionless Pressures and Derivative Distribution of Two Interfering Horizontal and Vertical Wells in an Infinite Acting Reservoir

Abstract

Abstract One of the major guide in achieving a prolong oil production is the accurate description of the reservoir system. This description is essential in all aspects of petroleum engineering and is achievable through reservoir characterization by analytical models based on dimensionless pressures and derivative distribution of two interfering horizontal and vertical wells in an infinite acting isotropic reservoir. In this work, the Gringarten Model and solution to the dimensionless diffusivity equation using Laplace transform and modified Bessel equation is utilized in deriving a solution to the problem of interference testing of an active horizontal well in the presence of an active vertical well located in an infinite acting isotropic reservoir. The Excel and Python software were deployed to compute dimensionless pressures and derivative by the use of superposition principle. Larger magnitudes of dimensionless pressure and derivative would indicate higher oil production for any well design. The work investigates the effects of separation distance between active and observation wells, well lengths and wellbore radius on the pressure response at the observation well. The influence of the number of active wells, Locations and timing of activities of active wells on the pressure response at the observation well has also been investigated. The results obtained from this work can be applied in well placement and spacing decisions during field development as well as in understanding the positive or adverse effects caused by nearby wells during well tests.