'Refuse' in the Bible

So I went out at night by the Valley Gate in the direction of the Dragon’s Well and on to the Refuse Gate, inspecting the walls of Jerusalem which were broken down and its gates which were consumed by fire.

Hanun and the inhabitants of Zanoah repaired the Valley Gate. They built it and hung its doors with its bolts and its bars, and a thousand cubits of the wall to the Refuse Gate.

Malchijah the son of Rechab, the official of the district of Beth-haccherem repaired the Refuse Gate. He built it and hung its doors with its bolts and its bars.

yea, they refuse to hearken, and have not remembered Thy wonders that Thou hast done with them, and harden their neck and appoint a head, to turn back to their service, in their rebellion; and Thou art a God of pardons, gracious, and merciful, long-suffering, and abundant in kindness, and hast not forsaken them.

Then I had the leaders of Judah come up on top of the wall, and I appointed two great choirs, the first proceeding to the right on top of the wall toward the Refuse Gate.