We present a scaling theory for the long time behavior of spontaneous imbibition in porous media
consisting of interconnected pores with a large length-to-width ratio. At pore junctions, the meniscus
propagation in one or more branches can come to a halt when the Laplace pressure of the meniscus
exceeds the hydrostatic pressure within the junction. We derive the scaling relations for the emerging
arrest time distribution and show that the average front width is proportional to the height, yielding a
roughness exponent of exactly
Scaling Theory for Spontaneous Imbibition in Random Networks of Elongated Pores |
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Phys. Rev. Lett. 110, 144502 (2013) | [pdf], [cond-mat] |
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