Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluid infiltration of a heterogeneous medium: A stochastic model   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.

24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol