I am doing a related study and have come across a HYDRUS model which can simulate soil water distribution

I am currently in a HYDRUS-1D workshop and definitely recommend it for modeling vertical soil moisture distribution. If that is all you are looking to model HYDRUS-1D will be very easy to pick up. I would think that soil moisture, "distribution," will depend less on soil type and more on root concentration and ET since previous event where water was applied.

https://www.pc-progress.com/en/Default.aspx?H1d-downloads

you can use the SATMED Model  

http://www.ceh.ac.uk/services/saltmed

HYDRUS model has a very important practice of use, allowing a comparative analysis and avoid of primitive mistakes at the beginning.

Thanks every body!

most of the models, DSSAT, INFOCROP, APSIM deals with the soil moisture redistribution after the rainfall and irrigation events on the basis of soil moisture retention, release and transmission characteristics, assuming SAHELIAN approach assumed for freely draining soils. 

you may refer to any of the model, description of the approach would give you insight.

all the soil water balance components, including evaporation and transpiration are covered 

regards

As Dr. Kalra mentioned, there are multiple models that deal with vertical SM distribution with varying degree of complexities in terms of input requirements, physics involved etc. depending upon your specific need. 

One of the rather simple model is based on principle of maximum entropy (POME) that requires only three inputs - surface, mean and bottom layer SM to distribute SM vertically that you may explore...

Al-Hamdan, O. Z., and J. F. Cruise. "Soil moisture profile development from surface observations by principle of maximum entropy." Journal of Hydrologic Engineering 15.5 (2009): 327-337.

Mishra, Vikalp, et al. "Modeling soil moisture profiles in irrigated fields by the principle of maximum entropy." Entropy 17.6 (2015): 4454-4484.