三维盆地发育史的数值模拟

Numerical Simulation for Evolutionary History of Three-Dimensional Basin

盆地数值模拟方法就是在计算机上重建盆地发育的地史和热史，并将这些地质信息进一步定量化地导出石油生成、运移和聚集的历史。其中地史和热史的数学模型是一组非线性偏微分方程初边值问题。本文给出了三维问题的数值解法，模型问题的稳定性分析以及计算实例的数值结果，计算得到的超压和古温度合理，有很强的物理特性。

Numerical simulation for evolutionary history of an oil-and gas-bearing basin is to repeat geological and thermodynamie history of basin evolution on a com-puter and then to quantitate petroleum generation, accumlation and migration.The mathematical model describing geological and thermodynamic history of the basin evolution is characterised by an initial-boundary value problem of a sys-tem of nonlinear partial differential equations. In the present paper, a numerical method for three-dimensional problem and the analysis of its stability are estab-lished and a numerical result for a practical model is given, which shows that the abnormal pressure and paleo-temperature computed are reasonable and display physical characteristics clearly as well.