2012/02/02 by Santanu Sinha, Sinha, Santanu, Alex Hansen +1 · 1 citation
Engineering · Environmental Science · #Enhanced Oil Recovery Techniques #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Groundwater flow and contamination studies #Hydraulic Fracturing and Reservoir Analysis
paper · pdf · doi:10.48550/arxiv.1202.0530
openalex publication_date 2012/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We demonstrate through numerical simulations and a mean field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric flow rate depends quadratically on an excess pressure difference in the range of flow rates where the capillary forces compete with the viscous forces. At higher rates, the flow is Newtonian.