Multiphase Flows in Oil Reservoir Engineering by Non-linear Singular Integral Equations
نویسنده
چکیده
Abstract An innovative and groundbreaking mathematical approach is proposed for the determination of the properties of reservoir materials, when oil reserves together with water are moving through porous media. Such problem seems to be very important for oil reservoir engineering. So, the above problem is reduced to the solution of a non-linear singular integral equation, which is numerically evaluated by using the Singular Integral Operators Method (S.I.O.M.). Furthermore, several properties are analyzed and investigated for the porous medium equation of multiphase flows, defined as a Helmholtz differential equation. Then the estimation of the future oil production from a reservoir could be determined. Finally, an application is given for a well testing to be checked when a heterogeneous oil reservoir together with water in a multiphase flow is moving in a porous medium. Consequently, by using the S.I.O.M., then the pressure response from the well test conducted in the above heterogeneous oil and water reservoir, is numerically calculated and investigated.
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