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Open AccessArticle

Quantitative Analysis of Pore Space Structure in Dry and Wet Soil by Integral Geometry Methods

1
Faculty of Physics, Lomonosov Moscow State University, 1-2 Leninskie Gory, 119991 Moscow, Russia
2
Soil Science Faculty, Lomonosov Moscow State University, 1-12 Leninskie Gory, 119991 Moscow, Russia
3
Dokuchaev Soil Science Institute, per. Pyzhevskii 7, 119017 Moscow, Russia
*
Author to whom correspondence should be addressed.
Geosciences 2020, 10(9), 365; https://doi.org/10.3390/geosciences10090365
Received: 29 July 2020 / Revised: 10 September 2020 / Accepted: 11 September 2020 / Published: 14 September 2020
(This article belongs to the Special Issue Modern Surveying and Geophysical Methods for Soil and Rock)
We present a methodology for a numerical analysis of three-dimensional tomographic images in this paper. The methodology is based on integral geometry, topology, and morphological analysis methods. It involves calculating cumulative and non-cumulative pore size distributions of Minkowski functionals and Betti numbers. We investigated 13 samples in dry and wet (saturated beyond the field capacity) conditions within different horizons of the Phaeozem albic. For samples of the arable horizon, an increase in the Euler characteristic was observed in the process of wetting. For samples from the A2, AB and B2 horizons, the Euler-Poincare characteristic decreased during wetting. It has been proven that both Betti numbers (number of isolated pores and number of “tunnels”) decrease with swelling of the AB and B2 horizons at a depth of 20–90 cm. For samples from the arable horizon, another dependence was observed: A Betti number of zero increased first but decreased during wetting. Based on the change in topological characteristics, two methods of changing the topology of the void space of the soil were demonstrated. The above-described quantitative changes of proposed parameters of pore space tomographic images prove the possibility and progressiveness of their usage for the pore space transformation estimate. View Full-Text
Keywords: soil porosity; Minkowski functionals; Betti numbers; clay loam Phaeozem albic; subsoil compaction; soil swelling; X-ray computed tomography soil porosity; Minkowski functionals; Betti numbers; clay loam Phaeozem albic; subsoil compaction; soil swelling; X-ray computed tomography
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MDPI and ACS Style

Ivonin, D.; Kalnin, T.; Grachev, E.; Shein, E. Quantitative Analysis of Pore Space Structure in Dry and Wet Soil by Integral Geometry Methods. Geosciences 2020, 10, 365.

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