Finite Volume Method for Solving a Modified 3-D 3-Phase Black-Oil Hydrocarbon Secondary Migration Model, and Its Application to the Kuqa Depression of the Tarim Basin in Western China
By using a finite volume method as a solver, a modified 3-D 3-phase (water, oil, gas) black-oil model for modeling hydrocarbon (HC) secondary migration in the context of basin modeling is presented in this paper. The model predicts the quantity and distribution of HC accumulation in space and time. The black-oil model used in basin modeling is more complex and more difficult to model than that in reservoir simulations, as the model includes variable simulation ranges, very long simulation times, initial conditions, natural sources and sinks, and reservoir gridcells. In the proposed finite volume formulation, the gridding of variable 3-D geological volumes is performed using perpendicular bisection (PEBI) gridcells, which makes the discretization and subsequent implementation of 3-phase flow equations much easier than when using hexahedral or tetrahedral gridcells. The stability and convergence of the solutions have been improved by using finite volumes with PEBI gridcells and the fully implicit formulation. A detailed case study in the Kuqa Depression of the Tarim Basin in western China shows that the simulation results and predictions agree well with field evaluations.
Key words: Basin modeling; Secondary migration; Black-oil model; Finite volume method; PEBI gridding; Kuqa Depression
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