Gullied is an adjective that describes a landscape or terrain characterized by deep channels or gullies carved out by water erosion. Some synonyms of gullied include channelled, eroded, grooved, incised, rutted, and carved. These words can be used interchangeably to describe a landscape that has deep, narrow troughs and valleys, often caused by heavy rainfall or the flow of water over a period of time. When describing a graphical representation of such terrain, words like serrated, jagged, toothed, cragged, rough, or rugged could also be used. These synonyms help create a visual image of the terrain in the reader's mind, which can add depth and richness to the writing.