Imbibition Modelling

Below are Excel spreadsheets and Matlab scripts that enable the calculation of the analytical solutions discussed in Schmid and Geiger (2012, 2013) for co- and counter-current imbibition and in March et al. (2016) for accurate early- and late-time modelling of imbibition. For details of how to use the Excel spreadsheets please see Schmid et al. (to appear), for the Matlab script see March et al. (2016).

References

Schmid KS, Alyafei N, Geiger S, Blunt MJ, Analytical solutions for spontaneous imbibition: Fractional flow theory and experimental analysis. SPE Journal to appear.

March R, Doster F, Geiger S, Accurate early and late time modelling of countercurrent spontaneous imbibition. Water Resources Research, doi:10.1002/2015WR018456, 2016.

Schmid KS, Geiger S, Universal scaling of spontaneous imbibition for arbitrary petrophysical properties: Water-wet and mixed-wet states and Handy’s conjecture. Journal of Petroleum Science and Engineering, 101, 44-61, doi:10.1016/j.petrol.2012.11.015, 2013.

Schmid KS, Geiger S, Universal scaling of spontaneous imbibition for water-wet systems. Water Resources Research, 48, W03507, doi:10.1029/2011WR011566, 2012.

Schmid KS, Geiger S, Sorbie KS, Semi-analytical solutions for co- and counter-current imbibition and dispersion of solutes in immiscible two-phase flow. Water Resources Research, 47, W02550, doi:10.1029/2010WR009686, 2011.