Pipe network model for scaling of dynamic interfaces in porous media

Abstract

We present a numerical study on the dynamics of imbibition fronts in porous media using a pipe network model. This model quantitatively reproduces the anomalous scaling behavior found in imbibition experiments [Phys. Rev. E {\bf 52}, 5166 (1995)]. Using simple scaling arguments, we derive a new identity among the scaling exponents in agreement with the experimental results.

13 pages, 3 figures, REVTeX, to appear in Phys. Rev. Lett

References in corpus (2)

• Liquid Conservation and Non-local Interface Dynamics in Imbibition
• Driven interfaces in disordered media: determination of universality classes from experimental data

Cited by in corpus (8)

• Imbibition in Disordered Media
• Anomalous Front Broadening During Spontaneous Imbibition in a Matrix with Elongated Pores
• Capillary rise dynamics of liquid hydrocarbons in mesoporous silica as explored by gravimetry, optical and neutron imaging: Nano-rheology and determination of pore size distributions from the shape of imbibition fronts
• Scaling theory for spontaneous imbibition in random networks of elongated pores
• Interface Depinning in the Absence of External Driving Force
• Fluid Invasion in Porous Media: Viscous Gradient Percolation
• Lattice Model for Spontaneous Imbibition in Porous Media: The Role of Effective Tension and Universality Class
• Comment on: `Pipe Network Model for Scaling of Dynamic Interfaces in Porous Media'