One Latin equivalent of the English Word 'dirt' is caenum, in the sense of 'filth' or 'mud'. Another is inluvies, in the sense of 'mud'. Still another is sordes, in the sense of 'filth'.
Addendum:There appear to be many -
- sordes - filth, dirt, dirtiness, smudge, squalor, sorry case
- pedor - dirt
- paedor - filth, dirt
- subluvies - dirt, filth
- squales - filth, dirt, smut
- sorditudo - dirt, filth, smudge, dirtiness
- immunditia - uncleanness, filth, dirt
- imperfundies - dirt
- inmunditia - uncleanness, filth, dirt
- scabies - scabies, rash, scurf, scab, dirt, filth
- lutum - mud, muddiness, dirtiness, dirt, filth, gook
- limus - slime, ooze, silt, slob, mud, dirt
- purgamentum - dirt, purgation, filth, sweepings, refuse, rubbish
- inluvies - dirt, filth, mud, inundation, squalor, floods
- inperfundities - dirt
- spurcitia - filth, dirt, smut
- fimus - dung, manure, filth, dirt
- purgamen - purgation, dirt, filth, refuse, rubbish, sweepings
- imperfundities - dirt
- incultus - lack of cultivation, want of attention, lack of refinement, neglect, disregard, dirt
- inperfundies - dirt
- fimum - dung, manure, filth, dirt
- spurcities - filth, dirt, smut
- illuvies - dirt, filth, mud, inundation, squalor, floods