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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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  The Principle of the Efficient Mind Architecture: Proposal for a Universal Hierarchy for Structure, Inference, and Integration Celso Luiz Prevedello Introduction: In Search of Universal Principles The organization of complex adaptive systems, from biological brains to artificial intelligence networks, appears to obey principles of efficiency and optimization. In previous work, “ From Bilateral Symmetry to Neural Decussation: A Unified Approach via Energy Minimization and Schrödinger-Inspired Principles ”, published on this blog on 04/25/2025, we explored how the minimization of a structural and functional cost (C[ Γ ] = ∫(T+U)ds), inspired by variational principles in physics, could explain fundamental patterns in neuroanatomy, such as bilateral symmetry and neural decussation. This optimized architecture ( Γ *) represents the physical foundation, the "hardware," upon which complex function must operate. This essay proposes to generalize this idea,...
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