A stationary oil inflow to the wellbore taking into account the initial pressure gradient

Abstract

In the development of deposits with abnormal properties of hydrocarbons, a number of complex and specific problems arise related to the study of the physical and hydrodynamic foundations of the manifestation of the non-Newtonian nature of filtration in a porous medium. Unlike conventional oil reservoirs, in deposits with anomalous oils, some minimum shear stress is required dependent on the properties of the fluid and the collector, to initiate filtration. In this paper, it is shown that for a steady flow of hydrocarbons to a well, taking into account the static (i.e., initial) pressure gradient, in contrast to the existing formula for production rate, the value of the initial pressure depression Δp0 depends on the radius of the power contour in a nonlinear manner. A more accurate formula for the pressure distribution was obtained, and a plot of the dependence of the drainage radius on depression for different values of Δp0 was constructed, and it was found that the effect of the initial pressure gradient on the well drainage radius is more significant than was found in earlier studies.