An oscillatory flow regime of the formation fluid is sometimes observed at the
operating gas-condensate reservoirs which entails unbalance of the well operation and leads to
unstable work of the well. Both external impact of periodic factors and monotonous energy
inflows into the system could be the reasons for observed pulsations. The system converts the
incoming energy into vibrations due to its nonlinearty. Therefore, investigation of the wave
filtration regime, which is discovered during the development of oil and gas-condensate
fields, is relevant.
The possibility of occurrence of periodic solutions in the filtration process is associated
both with the stability loss of stationary solutions of the general two-phase multicomponent
filtration equations and with the transformation of the resolving equation for pressure into
wave equation with certain combination of numerical values of its parameters. The solution of
the wave equation makes it possible to describe mathematically the conditions for the
occurrence of such oscillatory flow regimes for a gas-condensate system in a first
approximation.
The paper focuses on a mathematical description of the wave filtration process,
obtainment of the periodic solutions of the isothermal two-phase filtration problem and
calculation of the period of these oscillations depending on the parameters characterizing the
mixture and the porous medium. It is shown that periodic solutions can be obtained not for any
values of these parameters, but only for their certain combination.