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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...
France in the 19th Century: A Pantheon of Scientific and Cultural Geniuses Who Shaped the World Celso Luiz Prevedello In the 19th century, France emerged as a true pantheon of geniuses who, with their scientific, artistic, and philosophical contributions, shaped the course of human development. This period was a milestone not only for the advancement of science but also for the revolution of arts and culture, making France a beacon of innovation and creativity that still resonates today. In the field of exact sciences, Jean-Baptiste Joseph Fourier (1768–1830) and Pierre-Simon Laplace (1749–1827) were central figures in mathematics and physics. Fourier, a pioneer in the decomposition of periodic functions into series of sines and cosines (known as Fourier series), revolutionized the study of periodic phenomena such as heat propagation and sound waves. His work culminated in the creation of the Fourier Transform in the 20th century, which became fundamental for signal processing and engi...
The Expanding Universe: A Simplified Cosmic Journey  and a Tribute to Alexander Friedmann Celso Luiz Prevedello A Surprising Discovery Imagine the universe as a huge balloon being inflated. As it grows, every point on its surface moves away from the others. This is exactly how our universe behaves! It is in constant expansion, with galaxies moving apart from one another. But here’s the really fascinating part: scientists have discovered that this expansion is accelerating! It's as if someone is blowing up the balloon faster and faster over time. The Story Behind the Discovery This journey of discovery began about a century ago: In 1922, Alexander Friedmann, a Russian physicist and mathematician, used Einstein's ideas to show that the universe could be in motion. This was a shocking revelation at the time because most scientists, including Einstein, believed that the universe was static and unchanging. In 1929, Edwin Hubble made a revolutionary discovery: galaxies were moving aw...