Spatial fractional Darcy's law to quantify fluid flow in natural reservoirs

DOI10.1016/J.PHYSA.2018.11.040OpenAlexW2904196140MaRDI QIDQ2154382

Fanlu Min, Chunmiao Zheng, Yong Zhang, Hong-Guang Sun, AiLian Chang

Publication date: 19 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2018.11.040

zbMATH Keywords

experimentpressure gradientvelocity distributionfluid flowspatial fractional Darcy's law

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

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Cites Work

• Time-space fractional derivative models for \(\text{CO}_{2}\) transport in heterogeneous media
• Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
• Application of the nonlocal Darcy law to the propagation of nonlinear thermoelastic waves in fluid saturated porous media
• A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs
• A new collection of real world applications of fractional calculus in science and engineering
• A mechanical picture of fractional-order Darcy equation

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