Dear Alex! Similar task was solved in our paper: https://www.researchgate.net/publication/281897725_Informatsionnye_tehnologii_vodnogo_monitoringa_chrezvychainyh_situatsii_Information_technologies_for_water_monitoring_of_emergency_situations. To help more, unfortunately, I don't know about "model leechate contamination transport using Mud path /mud flow software"

Article Informatsionnye tehnologii vodnogo monitoringa chrezvychainy...

During subsurface transport, reactive solutes are subject to a variety of hydrological, physical and biochemical processes. The major hydrological and physical processes include advection,diffusion and hydrodynamic dispersion, and key biochemical processes are aqueous complexation,precipitation/ dissolution, adsorption/desorption, microbial reactions, and redox transformations. The addition of strongly reduced landfill leachate to an aquifer may lead to the development of different redox environments depending on factors such as the redox capacities and reactivities of the reduced and oxidised compounds in the leachate and the aquifer.

The prevailing redox environment is key to understanding the fate of pollutants in the aquifer. The local hydrogeologic conditions such as hydraulic conductivity, ion exchange capacity, and buffering capacity of the soil are also important in assessing the potential for groundwater pollution. Attenuating processes such as bacterial growth and metal precipitation, which alter soil characteristics, must be considered to correctly assess environmental impact.

A multicomponent reactive solute transport model coupled to kinetic biodegradation and precipitation/dissolution model, and geochemical equilibrium model can be used to assess the impact of contaminants leaking from landfills on groundwater quality. The fluid flow model can also be coupled to the transport model to simulate the clogging of soils using a relationship between permeability and change in soil porosity.

A new screening model for leachate production assessment at landfill sites: http://www.bioline.org.br/pdf?st14147

System Dynamics Modeling of Dumpsite Leachate Control in Ogbomosoland, Nigeria:

www.scirp.org/journal/PaperDownload.aspx?paperID=16857

This publication of which am a lead author may be useful for you, the modeling was through System Dynamics:

"Ojoawo, S.O, Agbede, O.A. and Sangodoyin, A.Y (2012) System dynamics 

modeling of dumpsite leachate control in Ogbomosoland, Nigeria. Journal of

Environmental Protection, U.S.A, 3 (1): 120-128. DOI:10.4236/jep.2012.31015".