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An Analytical Solution for Horizontal Infiltration in Highly Selected Porous Media: Anchoring in Sorptivity and Van Genuchten-Mualem Parameter

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This is an updated version of a previously posted article that had been published on June 17, 2025 on this blog. Celso Luiz Prevedello Abstract This work proposes an analytical model specifically for highly selected porous media (n>10), using a continuous sigmoidal moisture profile to describe the transition zone during horizontal infiltration. The parameter n represents an adjustment factor of the van Genuchten (1980) model for the soil water retention curve, and is related to the uniformity of pore distribution. The parameter n>10 of van Genuchten suggests a very uniform pore distribution. The specialization for n>10 addresses the growing demand of modern engineering for synthetic and designed materials with very uniform pore distribution, widely used in industrial filtration, draining pavement, technical substrates and advanced geotechnical systems. The model was developed specifically for materials with characteristics similar to very well selected sands, such as the porou...
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EXTRACTING THE LORENTZ FACTOR FROM SPECIAL RELATIVITY USING PYTHAGORAS Celso Luiz Prevedello Introduction Einstein's theory of special relativity has been the foundation for explaining how space and time function in a relativistic regime. Special relativity introduced a constraining factor known as the Lorentz factor, a crucial component associated with Lorentz transformations. These transformations allow for the conversion of space-time coordinates from one observer to another in different inertial reference systems, offering a multifaceted view of space-time and its intricate relationships. This factor and its corresponding transformations are the pillars supporting the peculiarities and inherent limitations of the relativistic concept of motion and observation. However, in this text, our approach will differ. Instead of directly exploring the Lorentz transformatio...
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