Features of Mathematical Modelling of Hydrodynamic Research of Oil Layers

Abstract

The oil field reserves estimation is carried out by experts of geological services in terms
of hydrodynamic researches of oil layers. Existing techniques are aimed at determining the
hydraulic conductivity of oil-bearing layer and well productivity according to their short-
term operation. Different methods are used for processing the results of measurement, in
particular those based on the numerical solution of direct and inverse filtering. In solving the
problem of determining the coefficient of hydraulic conductivity using numerical methods
we should take into account the features of underground fluid mechanics. These features
should be considered when we work out a mathematical model of the process and during the
development of algorithms for its numerical solution. A number of conditions can specify
the problem of determining the coefficient of hydraulic conductivity as the inverse problem
of nonlinear hydrodynamics. The essential part for solving this problem is to prove the
uniqueness of the solution. In this paper, we state the conditions for the inverse filtering
with mixed boundary conditions that guarantee the uniqueness of the solution.