Hj. Vogel et A. Kretzschmar, TOPOLOGICAL CHARACTERIZATION OF PORE-SPACE IN SOIL - SAMPLE PREPARATION AND DIGITAL IMAGE-PROCESSING, Geoderma, 73(1-2), 1996, pp. 23-38
The connectivity of pore space is an important topological property of
soil. Together with the porosity and the pore-size distribution, it g
overns the transport of water, solutes and gases. This paper describes
the Euler-Poincare characteristic (EPC) as an index of connectivity o
f soil pore space in three dimensions, and shows how the EPC can be es
timated by analysing pairs of parallel images, so-called disectors, au
tomatically. We investigated the connectivity of pores > 50 mu m withi
n two horizons of a Terra fusca from serial surfaces through undisturb
ed soil impregnated with resin. A method is proposed for the segmentat
ion of the grey level images into solid and void which is especially s
uitable for the detection of the pore edges. This results in identific
ation of topologically distinct features. The 3D EPC was estimated fro
m pairs of adjacent surfaces, the disector, using an algorithm to coun
t the topological features by digital image processing. The EPC from 1
0 adjacent disectors within the two horizons are significantly differe
nt, and confirm qualitative observations of more intensely connected p
ore space in the upper Ah horizon. Additional results from 100 adjacen
t disectors in the lower AhBv horizon show the continuous evolution of
the EPC estimates over a distance of 5 mm where two different scales
of variation can be distinguished clearly: a small-scale variation whi
ch is attributed to methodological errors and a large scale variation
reflecting the variability of the structure.