Hi,
you can have a look here if you are looking for a chemical data set: A. G. Parvatker and M. J. Eckelman, ACS Sustainable Chemistry & Engineering 2019, 7(1). Hence, you can model the reaction of terephthalic acid and yourself. I think it is feasible to copy the PET process (in the unit process database) and substitute ethylene glycol with 1,4-butanediol from 1,4-butanediol production in ecoinvent. Please adapt masses, energy use and water consumption according to literature data. However, you should indicate this in your report and make transparent what assumptions you took.
Hope this helps