Mathematic modelling of thermodynamic effects in a gas formation well bore zone

Abstract

With the use of ideas of stepwise recording of process and medium characteristics, the methodology of mathematical modelling of filtration and mass-exchanging processes in a formation wellbore zone has been suggested. The methodology considers thermodynamic effects which appear as a result of gas throttling through micro fractures of shale rock when, on condition of quasistationary filtration flow, displacement process is described by specially modified Darcy's law with critical gradient. Model problem of hydrodynamic effects investigation in a formation wellbore zone in case of gas filtration in a formation with low permeability has been formulated. On the example of radial gas flow the peculiarities of temperature field division algorithm building have been illustrated.