两相水驱油低阶模型计算方法研究

将最佳正交分解技术运用到两相水驱油低阶模型中,建立油水两相的水驱油低阶模型。用IMPES的数值算法得到一维水驱油的油水两相压力和油、水饱和度数值场。通过对压力及饱和度样本数据实施最佳正交分解,得到该问题的POD基函数。POD基函数具有能量最优的特性,即在重构公式中使用较小的截断自由度可将原问题的主要特征解准确地表示出来。通过结果的対比基于POD的低阶模型可以快速、准确地计算出ー维两相油藏模型的压力及油、水饱和度场,计算时间较之直接求解方法提高将近60倍。

The calculation method for reduced order model of the water flooding

A new algorithm based on the proper orthogonal decomposition (POD) technique for predicting low order model of the water flooding was proposed. The POD technique was applied to rebuild low order model of the water flooding. The pressure and saturation of water-oil two phase flow in one dimension was obtained by the IMPES numerical algorithm. POD basis functions of this problem is obtained by implementing proper orthogonal decomposition onto the sample data of pressure and saturation. The POD basis function has the best characteristics of energy. In the reconstruction formula, a smaller cut freedom may be the solution of the original physical problem accurately. By comparing the results,based on the POD reduced order model can calculate the pressure and the two-phase (oil/water) saturation quickly and accurately and the calculation time is nearly 60 times faster than the numerical solution.