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Description
It is central to developing a statistical mechanics for immiscible two-phase flow in porous media to define a configurational entropy [1]. Imagine making a cut through a core sample orthogonally to the average flow direction. We may attach two pieces of information to each point in the cut: 1. is the point in the solid matrix, is it in the more wetting fluid or is it in the less wetting fluid? 2. what is the velocity of the fluid at that point? We take the matrix to be the frame of reference, so its velocity is zero. These two fields, the material field and the velocity field, are spatially correlated. By using wavelets, we decorrelate the fields, making it possible to calculate the configurational entropy based on the one-point correlation functions alone [2]. A prediction from the statistical mechanics approach to immiscible two-phase flow in porous media is that the configurational entropy is proportional to the differential mobility of the fluids [3]. We test this prediction using a dynamic pore network model [4].
| References | [1] A. Hansen, E. G. Flekkøy, S. Sinha and P. A. Slotte, A statistical mechanics framework for immiscible and incompressible two-phase flow in porous media, Adv. Water Res. 171, 104336 (2023). [2] A. E. Hermundstad, Shannon entropy in two-phase flow in porous media, M.Sc. thesis, Norwegian University of Science and Technology (2025). [3] A. Hansen and S. Sinha, Thermodynamics-like formalism for immiscible and incompressible two-phase flow in porous media, Entropy, 27, 121 (2025). [4] S. Sinha, M. Aa. Gjennestad, M. Vassvik and A. Hansen, Fluid meniscus algorithms for dynamic pore-network modeling of immiscible two-phase flow in porous media, Front. Phys. 8, 548497 (2021). |
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| Country | Norway |
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