Development of a new fast proxy model for transport in multi-scale heterogeneous porous media based on random walk techniques

石油工程中的一个主要挑战是评价非均质性及其对储层动态的影响。由于地质构造的建模总是在数据不足的情况下进行，并且非均匀性往往在宽范围的长度尺度上发生，因此在许多尺度上存在岩石性质的显著不确定性，并且在随后的开采行为中引入不确定性。快速代理模型可用作耗时的有限差分计算的有效替代方案，以模拟多孔介质中的输运，从而可靠地完成与不确定性评估相关的任务。

A major challenge in petroleum engineering is the assessment of heterogeneity and its impacts on reservoir performance. Since modeling of geologic formations is always carried out with insufficient data and heterogeneity tends to occur over a wide range of length scales, significant uncertainty in rock properties exists at many scales and introduces uncertainty in the ensuing recovery behavior. Fast proxy models can be used as efficient alternatives to time-consuming finite difference computations to model transport in porous media, allowing tasks associated with uncertainty assessment to be reliably accomplished.