Multiphase flows in a sedimentary basin

In this work, the main phenomena of genesis and hydrocarbons migration in a sedimentary basin are presented. Then, a mathematical modelling of these characters is formulated. Pressure, hydrocarbons masses and water mass are the main unknowns which have held our attention for mathematical modelling. Phases miscibilities effects are also taken into account. Afterwards a numerical method to compute the mathematical model is described. The numerical method must be robust, stable and low cost in computing time. At last, numerical results are exposed in a black-oil ow case