Hydraulic model for oil and gas reservoirs

Abstract

This paper considers a two-dimensional hydraulic model which describes gas or oil flow to a horizontal well with hydraulic fractures and takes into account the reservoir geometry and fluid flow between the reservoir and the well. A computational algorithm is proposed, and calculations for gas and oil reservoirs are performed. A comparison of the calculation results and the solutions of the corresponding problems in a three-dimensional formulation show that the calculations using the approximate hydraulic model yield reasonably accurate results.

Fluid flow in a reservoir drained by a multiple fractured horizontal well

“…Figure 3 contains graphs that are drawn with the same data as some cases observed in [13], namely, cases #110 and #111 correspond to graphs number 2 in Figures 2 and 3 in [13] respectively. One can see a good agreement between these pairs of graphs which confirms the reliability of our numerical algorithm.…”

“…In present work we develop the hydraulic model proposed in [13,14] by presenting more efficient algorithm of conjugation of flows in the domains of different dimensions and by taking into account variability of physical properties of the reservoir and fractures. The model describes a 3D filtration Darcy flow in the reservoir conjugated with the 2D flow in fractures and with the 1D flow in the wellbore.…”