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Showing posts from February, 2025

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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  The Special Theory of Relativity Under the Perspective of the Pythagorean Theorem CELSO LUIZ PREVEDELLO Abstract This work presents Einstein's Special Theory of Relativity (SR) from a fundamental geometric perspective, using the Pythagorean Theorem as its interpretive basis. The proposal is that relativistic phenomena, such as time dilation, length contraction, and the relationships between energy and momentum, can be understood as direct manifestations of Pythagorean geometric relationships in spacetime and in momentum-energy space. This approach is not merely a didactic analogy, but rather a way to reveal the profound connection between geometry and physics. The analysis is divided into two parts: the first explores the application of the Pythagorean Theorem to interpret spacetime and its phenomena; the second extends this interpretation to physical properties such as momentum, energy, and velocity. The approach maintains the mathematical precision and e...
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