Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Nonlocal Diffusion in Porous Media: A Spatial Fractional Approach
AbstractOne-dimensional diffusion problems in bounded porous media characterized by the presence of nonlocal interactions are investigated by assuming a Darcy’s constitutive equation of convolution integral type. A power law attenuation function is implemented: Analogies and differences of the flow-rate-pressure law with respect to other nonlocal and fractal models are outlined. By means of the continuity relationship, the fractional diffusion equation is then derived. It involves spatial Riemann-Liouville derivatives with a noninteger order consisting of between 1 and 2. The solution is obtained numerically using fractional finite differences, and results are presented in both the transient and the steady-state regimes. Eventually, the physical meaning of fractional operators is discussed and potential applications of the analysis are suggested.
Nonlocal Diffusion in Porous Media: A Spatial Fractional Approach
AbstractOne-dimensional diffusion problems in bounded porous media characterized by the presence of nonlocal interactions are investigated by assuming a Darcy’s constitutive equation of convolution integral type. A power law attenuation function is implemented: Analogies and differences of the flow-rate-pressure law with respect to other nonlocal and fractal models are outlined. By means of the continuity relationship, the fractional diffusion equation is then derived. It involves spatial Riemann-Liouville derivatives with a noninteger order consisting of between 1 and 2. The solution is obtained numerically using fractional finite differences, and results are presented in both the transient and the steady-state regimes. Eventually, the physical meaning of fractional operators is discussed and potential applications of the analysis are suggested.
Nonlocal Diffusion in Porous Media: A Spatial Fractional Approach
Sapora, A (Autor:in) / Cornetti, P / Chiaia, B / Lenzi, E. K / Evangelista, L. R
2017
Aufsatz (Zeitschrift)
Englisch
Nonlocal Diffusion in Porous Media: A Spatial Fractional Approach
| Online Contents | 2016
Nonlocal Head Covariance in Stationary, Bounded Heterogeneous Porous Media
| British Library Conference Proceedings | 1998
Nonlocal diffusion and strain-induced liquification of particulate media
| British Library Online Contents | 1993