Filtration of incompressible non-Newtonian oil from the homogeneous reservoir to the straight-line gallery with a free surface

The paper solves the stationary problem of incompressible non-Newtonian oil filtration from homogeneous porous medium for a straight-line gallery with a free surface. Plane-parallel filtration process obeys nonlinear law of filtration in the general form in which the present c and n constants can gain many different values; however, their values for a specific environment can almost be defined in the result of the gallery study, as well as the indicator chart can be built and an empirical equation chosen. As a result of the problem solution, the formulas of major filtration parameters, i.e. filtration speed, flow rate of the gallery, the current gradient level with a free surface, and in addition, the distribution of the level with a free surface in the path of the filtration zone of the drainage were derived. On the other hand, the definition method of the movement time of non-Newtonian oil particles from external reservoir boundary to the gallery was developed as well.