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作 者:施安峰[1] 王晓宏[1] 贾江涛[1] 郑晓磊[1]
机构地区:[1]中国科学技术大学热科学和能源工程系,合肥230027
出 处:《力学季刊》2012年第4期513-520,共8页Chinese Quarterly of Mechanics
基 金:国家自然科学基金(11172295);中国科学院知识创新工程重大项目(KJCX1-YW-21);国家863项目(2006AA06Z228)
摘 要:将自适应网格法推广到复杂边界稠油油藏的蒸汽注采过程,针对复杂边界附近的网格提出相应的粗化算法。首先,在实施自适应网格算法之前对边界上最精细网格上的计算参数进行预处理以提高计算精度,然后,再利用同样的预处理方法对自适应网格法中边界处的各层次粗网格的渗透率进行粗化。在建立动态AMR网格系统的网格粗化准则中,仅采用油藏温度和各相饱和度的空间变化作为控制阈值,这样边界区域在相变锋面未到达时将自适应地采用粗网格进行计算。数值算例显示边界附近自适应地采用粗网格进行计算并不影响油藏数值模拟的计算精度,自适应网格法在保持计算精度的同时,大幅度提高了计算速度。Abstract. The adaptive mesh refinement(AMR) algorithm is used to the numerical simulation of the steam injection process in complex boundary reservoir. The coarsening algorithm for the. grids on the complex boundary is proposed. To improve the numerical accuracy, before implementing the AMR algorithm, the parameters on the fine cells on the reservoir boundary are pre-calculated. The same method is utilized to calculate the equivalent permeability of the coarse cells of different levels of AMR grids. In the deciding criteria if the refinement is necessary, the local spatial variations of temperature and phase saturations are used as the control values. As a result,the boundary area adopts the coarse grids automatically before the temperature and saturations fronts reach. Numerical examples show that the proposed AMR technique is fast with good accuracy. Adoption of the coarse grids rather than the fine grids in the boundary area, ac-cording to the AMR refinement criteria, does not reduce the accuracy of the reservoir numerical simula-tions.
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