含油气盆地三维问题的计算机模拟及其数值分析

COMPUTER SIMULATION OR THREE-DIMENSIONAL PROBLEM OF AN OIL-GAS BEARING BASIN AND ITS NUMERICAL ANALYSIS

盆地演化史的计算机模拟,就是在计算机上再现盆地的地质和热力学的发育演化过程。盆地模拟的数学模型是一组关于地层超压和古温度的非线性偏微分方程初边值问题。本文给出三维问题的数值解法、模型问题的稳定性分析和数值实例。结果表明,计算得到的地层超压和古温度合理,有很强的物理特性。

Computer simulation for evolutionary history of an oil-gas bearing basin is to repeat its geological and thermodynamic evolutionary history on a computer. The mathematical model of basin simulation is characterised by an initial - boundary value problem of nonlinear partial differential equations on the abnormal pressure and the paleo-temperature of the formation. In the present paper, numerical method for three-dimensional proposed, the analysis on their stability and a numerical result for a practical model is given also. The results show that the abnormal pressure and the paleo-temperature computed are reasonable and display physical characteristics clearly as well.