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).
- Excel spreadsheet for modelling cocurrent imbibition
- Excel spreadsheet for modelling counter current imbibition
- Matlab script for modelling counter current imbibition at early and late time (rename to a *.m file)
- Matlab script (“main file“) for calling the above imbibition script (rename to a *.m file)
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.