非均质介质的流体渗透：一个随机模型
Fluid infiltration of a heterogeneous medium: A stochastic model
摘要：
考虑了与压力流体储层接触的透气砖的流体渗透问题。由达西定律和流体的不可压缩性所知的随机模型显示了渗透率场的非均质性如何影响流体渗透的时间演化。特别是，异常（非达西）推进的羽的原因是确定的。该模型被应用到砖是线性阵列的谢尔宾斯基地毯。将计算结果与文献中的实验结果进行了比较，验证了模型和方法的正确性。
英文摘要：
Fluid infiltration of a permeable brick in contact with a pressurized reservoir of fluid is considered. A stochastic model, informed by Darcy's law and the incompressibility of the fluid, shows how the heterogeneity of the permeability field affects the time evolution of the fluid infiltration. In particular, the cause of anomalous (non-Darcian) advance of a plume is determined. The model is applied to bricks that are linear arrays of Sierpinski carpets. These calculated results are compared to experimental results available in the literature, to verify the model and method.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
