在对随机游走算法基本原理简要介绍的基础上,对其在两个方面做了进一步改进。(1) 在迁移概率的计算中,加入了蒙特卡罗影响因子,更符合河流振荡性随机游走发育的特点,得到的模型更具决策性；(2) 在河道加宽模式中,沿着主流线利用圆形方式充填,得到加宽后的河道更合理,不会在高曲率处出现河道宽度突变。随后在改进算法基础上利用东部某油田的实际数据进行了检验,模拟实现与实际地质模型吻合度较高。抽稀后的模拟实现与未抽稀模拟实现的吻合率大,同一网格点相类型相同的比率达到77.3%,说明算法具稳健性。最后,分析了目前随机游走过程在油气储层建模领域仍然存在的问题及其可能的解决方案。

This paper reviews the basic principles of the random walk, and proposes two modifications for the technology, related with the random influencing factor and the widening channel methods. First, in the calculation of the transition probability, the Monto Carlo factor is added to increase the stochastic extent and to make the model more deterministic. Second, the circling filling approach is used to reconstruct the width of the channel along the channel mainstream, so that the channel will not vary sharply in the high curvature points. The real data from the eastern oilfield is used to test the modified algorithm. It is shown that it is similar to drawing picture by a geologist and the results agree with the real geological phenomenon, with a coincidence rate of 76.5%. Furthermore, the results of the modified algorithm using the sparsing testing agree with the results before the sparsing, with a rate of matching of 77.3%. Finally, some problems in using the random walk are analyzed and related solving schemes are proposed.