Determination of the Anisotropic Reservoir Permeability by Liquid Flow Rate Measurements at Wells under Conditions of Three-Phase Filtration

The inverse coefficient problem for a system of equations describing a three-phase fluid flow in a three-dimensional reservoir opened by wells is considered. The reservoir is assumed to be anisotropic with different permeability values in the horizontal plane and vertically. In the process of solving, the horizontal component of permeability is determined as a spline surface. The vertical permeability is assumed to be proportional to the horizontal component, while the coefficients of proportionality are also to be determined. Measurements of the liquid flow rate in wells are used as initial information to determine permeability. The solution of model problems with various variants of errors in liquid flow rate measurements is given.