Perpustakaan Digital ITB

A new mathematical model is proposed in order to determine the properties of the reservoir materials, when oil reserves are moving through porous media, which is a very important problem of petroleum reservoir engineering. Thus, 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 (SIOM). Also, several properties of the porous medium equation, which is a Helmholtz differential equation, are analyzed and investigated. An application is finally given for a well testing to be checked when an heterogeneous oil reservoir is moving in a porous medium. By using the SIOM, the pressure response from the well test conducted in the above heterogeneous oil reservoir is calculated.