Pyrolysis processes for upgrading a hydrocarbon feed

A process for upgrading a hydrocarbon, comprising:

• steam cracking a hydrocarbon feed comprising methanol to produce a steam cracker effluent comprising cracked hydrocarbons and methanol;
• separating a process gas and a naphtha cut from the steam cracker effluent, wherein the process gas comprises ethylene, propylene, and ≤40 wt. % of the methanol in the steam cracker effluent, and wherein the naphtha cut comprises ≥60 wt. % of the methanol in the steam cracker effluent;
• separating a pygas product and an aqueous mixture from the naphtha cut, wherein the aqueous mixture comprises ≥95 wt. % of the methanol in the naphtha cut;
• contacting the aqueous mixture with steam to produce a vapor phase product comprising ≥80 wt. % of the methanol in the aqueous mixture and a liquid phase product comprising ≤20 wt. % of the methanol in the aqueous mixture;
• cooling at least a portion of the vapor phase product to produce a first process water, wherein ≥50 wt. % of the methanol contained in the steam cracker effluent is present in the first process water.