When I did this for plant toxicity and uptake almost 2 decades ago soil was too complex a medium to model - the work we did used a hydroponic solution derived from Hoagland's solution where you could vary things like calcium and pH to determine plant effects and or uptake. There are computer models we obtained from Rufus Chaney for this purpose. I do not know of any that incorporate clays, organic materials and other sinks of metals found in soils.
I do not have experience with Cs, but the time for for Cd spikes to 'equilibrate' with the 'labile' Cd fraction in tumbled suspensions of acidic soils varies from 24 to 48 h depending on pH and the background electrolyte. This is long enough for considerations of aeration and microbial activity to apply.