Predicting water flow in fully and partially saturated porous media: a new fractal-based permeability model

A., Nguyen Van Nghia; Jougnot, Damien; Thanh, Luong Duy; Van Do, Phan; Thuy, Tran Thi Chung; Hue, Dang Thi Minh; Hung, N. Manh

Predicting water flow in fully and partially saturated porous media: a new fractal-based permeability model | Prévision de l’écoulement de l’eau dans les milieux poreux totalement et partiellement saturés: un nouveau modèle de perméabilité basé sur les fractales Predicción del flujo de agua en medios porosos total y parcialmente saturados: un nuevo modelo de permeabilidad basado en fractales 完全饱和与部分饱和多孔介质中的水流预测:基于分形的新渗透率模型 Previsão do fluxo de água em meios porosos saturados e não saturados: um novo modelo fractal da permeabilidade

2021

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many models have been proposed in the literature to estimate the permeability from properties of the porous media such as porosity, grain size or pore size. This study develops a model of the permeability for porous media saturated by one or two fluid phases with all physically based parameters using a fractal upscaling technique. The model is related to microstructural properties of porous media such as fractal dimension for pore space, fractal dimension for tortuosity, porosity, maximum radius, ratio of minimum pore radius and maximum pore radius, water saturation and irreducible water saturation. The model is favorably compared to existing and widely used models from the literature. Then, comparison with published experimental data for both unconsolidated and consolidated samples shows that the proposed model estimates the permeability from the medium properties very well.

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