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Probability density function: A tool for simultaneous monitoring of pore/solid roughness and moisture content |
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| Authors: | K Oleschko G Korvin F Brambila JF Parrot S Zamora |
| Institution: | a Centro de Geociencias, Universidad Nacional Autónoma de México (UNAM), Blvd. Juriquilla 3001, C.P. 76230, Juriquilla, Qro., Mexico b King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia c Instituto de Geología, UNAM, Apartado Postal 70-26, Ciudad Universitaria, C.P. 04510, Coyoacan, Mexico d Facultad de Ciencias, Departamento de Matemáticas, UNAM, Mexico e División de Estudios de Posgrado de la Facultad de Ingeniería, Universidad Autónoma de Querétaro (UAQ); Parrot, Jean-Francois, Instituto de Geografía, UNAM, Mexico f Instituto de Geografía, UNAM, Mexico g Instituto Mexicano del Petroleo, Mexico |
| Abstract: | We present a novel approach to multiscale fractal image analysis for monitoring the dynamics of the soil pore/solid network roughness due to moisture content changes. Roughness of the gray-level probability density function (PDF) of subsequent images of the drying soil was expressed in terms of its Hurst exponent (HPDF), which correlated significantly with the soil dielectric permittivity and gravimetric water content, as well as with micro-horizon depth and the temporal progress of drying. We documented an intermittent character of the water content dynamics, correlating with oscillations of the pore/solid interface roughness. Our technique of PDF roughness analysis of digital images, exemplified here for soil moisture monitoring, can be applied for monitoring the other complex systems, for instance plant growth in greenhouse. |
| Keywords: | Soil structure Gray level frequency distribution Hurst exponent Visual singularity |
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