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

机译：整体几何法测定干湿土孔隙空间结构的定量分析

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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.
机译：我们在本文中提出了一种关于三维断层图像的数值分析的方法。该方法基于整体几何形状，拓扑和形态分析方法。它涉及计算Minkowski功能和贝蒂数的累积和非累积孔径分布。我们在Phaeozem Albic的不同视野中调查了13个干燥和湿润（超出现场容量）条件的样本。对于耕地的样品，在润湿过程中观察到欧拉特征的增加。对于来自A2，AB和B2视野的样品，润湿过程中的欧拉诗特征降低。已经证明，Betti编号（隔离孔的数量和“隧道数”）随着AB和B2视线的肿胀而减少，深度为20-90厘米。对于来自耕地的样品，观察到另一种依赖性：在润湿期间首先增加零的β零增加，但在润湿期间减少。基于拓扑特征的变化，证明了改变土壤空隙空间拓扑的两种方法。上述孔隙空间分层图像参数的上述定量变化是它们对孔隙空间变换估计的使用的可能性和逐次。

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