有限体积法及其在盆地模拟中的应用

运移聚集史的模拟是盆地模拟中最重要的部分,也是迄今为止技术上最薄弱的环节。由于其数学模型的复杂性,长期以来,寻找稳定、收敛的算法来求解运移聚集史模型一直是运移聚集史模拟的热点。在此提出的将直交平分网格法和有限体积法相结合的方法,不仅具有有限差分法格式简单、计算量小、保持网块内物质守衡的优点,而且具有有限元法处理复杂边界条件的优势。实际应用表明:将直交平分网格法、有限体积法和变网格技术相结合能有效模拟三维油气二次运移聚集过程。

FINITE VOLUME METHOD AND ITS APPLICATION IN BASIN MODELING

In basin modeling system, the hydrocarbon migration-accumulation is the most important part, but the technologically weakest part of the system. For long time, it has been hot spot to find the stable and convergent methods for solving the hydrocarbon migration-accumulation history model due to its complexity. In this paper, authors present a combination method of finite volume method and perpendicular bisection grids, which has not only the advantages of finite different method such as asimpler scheme, less amount of computation and keeping mass balance within each grid, but also the advantages of finite element method in processing complicated boundary conditions. Its applications have proved that the combination of finite volume method and perpendicular bisection grids is able to effectively simulate the process of the 3D hydrocarbon migration-accumulation.