2017/12/19 by Alex Hansen, Santanu Sinha, Hansen, Alex +9
Engineering · Environmental Science · #CO2 Sequestration and Geologic Interactions #Enhanced Oil Recovery Techniques #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Hydraulic Fracturing and Reservoir Analysis
paper · pdf · doi:10.48550/arxiv.1712.06823
openalex publication_date 2017/12/19 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Based on thermodynamic considerations we derive a set of equations relating\nthe seepage velocities of the fluid components in immiscible and incompressible\ntwo-phase flow in porous media. They necessitate the introduction of a new\nvelocity function, the co-moving velocity. This velocity function is a\ncharacteristic of the porous medium. Together with a constitutive relation\nbetween the velocities and the driving forces, such as the pressure gradient,\nthese equations form a closed set. We solve four versions of the capillary tube\nmodel analytically using this theory. We test the theory numerically on a\nnetwork model.\n