Abstract:

The non-linear fractal geometry was applied to fluid flow mechanics, and the combined mathematical model of low non-Darcy flow in fractal reservoir was established. The model consists of two concentric circles of fractal reservoir, in the inner of which the fluid flow is low Darcy flow, while in the outer normal Darcy flow. Based upon fixed inner boundary rate, wellbore storage and skin factor, the combined mathematical model of low non-Darcy flow in fractal reservoir with effective well radius was set up. The analytical solution of pressure distribution in these two parts was presented by using Laplace transform while that of bottom hole dimensionless pressure by Stehfest numerical reversion, according to which we also analyzed bottom hole pressure characterization and related factors.

Key words: Non-Darcy flow, mathematical model, analytics, pressure characterization