We consider capillary displacement of immiscible fluids in porous media in the limit of vanishing... more We consider capillary displacement of immiscible fluids in porous media in the limit of vanishing flow rate. The motion is represented as a stepwise Monte Carlo process on a finite two-dimensional random lattice, where a t each step the fluid interface moves through the lattice link where the displacing force is largest. The displacement process exhibits considerable fingering and trapping of displaced phase at all length scales, leading to high residual retention of the displaced phase. Many features of our results are well described by percolation-theory concepts. I n particular, we find a residual volume fraction of displaced phase which depends strongly on the sample size, but weakly or not a t all on the co-ordination number and microscopicsize distribution of the lattice elements.
We consider capillary displacement of immiscible fluids in porous media in the limit of vanishing... more We consider capillary displacement of immiscible fluids in porous media in the limit of vanishing flow rate. The motion is represented as a stepwise Monte Carlo process on a finite two-dimensional random lattice, where a t each step the fluid interface moves through the lattice link where the displacing force is largest. The displacement process exhibits considerable fingering and trapping of displaced phase at all length scales, leading to high residual retention of the displaced phase. Many features of our results are well described by percolation-theory concepts. I n particular, we find a residual volume fraction of displaced phase which depends strongly on the sample size, but weakly or not a t all on the co-ordination number and microscopicsize distribution of the lattice elements.
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Papers by Kenneth Lerman