A new methodology for singularity modelling in flow simulations in reservoir engineering

In this paper, numerical methods for flow simulation in the well vicinity a re discussed. Flux truncation errors are analyzed on gridblocks near the we ll. Due to the singularity of the well, standard numerical schemes are not efficient for near well flow simulations. To improve simulation accuracy, a new methodology, using a change of coordinates to make near well pressure linear, is presented for the singularity modelling. Based on this new appro ach, two numerical schemes, a two-point flux approximation scheme and a mul ti-point one, are proposed. These schemes are accurate for the near well mo delling and are suitable for any kinds of gridblocks.