Examinando por Materia "Transformada de Hilbert-Huang"

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    Analysis of Atmosphere-Plant-Soil Interactions
    (Universidad EAFIT, 2025) Revelo Aristizábal, Mauricio Felipe; Ruiz Restrepo, Daniel Felipe
    Understanding the interactions between the atmosphere, vegetation, and soil is essential for addressing issues related to slope stability, water transfer, and thermal variability in geological media, particularly under changing climatic conditions. These interactions govern coupled processes in soils and rocks and have implications for geotechnical engineering, land management, and environmental sustainability. Vegetation plays a central role in regulating the soil's hydromechanical balance by promoting infiltration, reducing runoff, and providing reinforcement through root systems. This thesis investigates the Soil–Atmosphere continuum, with a specific focus on the role of vegetation. The document is structured into three chapters and three appendices, each contributing to a detailed analysis of the topic. Chapter 1 addresses the Soil–Atmosphere system from a thermo-hydro-mechanical perspective and develops two complementary approaches. The first examines the role of vegetation, emphasizing root geometry and reviewing current formulations reported in the literature. In addition, the importance of in situ geotechnical monitoring for studying the Atmosphere–Plant–Soil interface is discussed through case studies. Chapter 2 presents a methodology based on digital image processing to visualize and quantify root system architecture. This method yields geometric parameters that support interpretation in Plant–Soil applications and the evaluation of nature-based solutions. The chapter highlights the role of visual analysis as a bridge between theoretical concepts and observational data. Chapter 3 analyzes time series obtained from multisensor networks applied to Soil–Atmosphere interactions at three monitoring points with distinct climatic and geotechnical conditions. Vegetation variables are not included in these case studies. Spectral techniques such as the Wavelet transform and the Hilbert–Huang transform were applied to identify dominant periodicities and evaluate potential relationships among variables such as precipitation, soil moisture, temperature, and displacement. The analysis includes coherence estimation and Spearman correlation between intrinsic mode functions (IMFs) to examine temporal coupling among environmental variables at multiple scales. Appendix 1 presents the theoretical foundations of thermo-hydro-mechanical processes in porous media. Appendix 2 contains soil characterization data from a monitored site where vegetation was grown under natural conditions. Appendix 3 includes complementary visualizations of the time-series analysis, featuring the complete spectral decompositions.