A pull mat for tunnel composting includes: a layer of straight unidirectionally oriented threads oriented in the longitudinal direction of the pull mat, the layer including a multitude of straight individual threads which are placed essentially parallel to each other in a single plane, the straight unidirectionally oriented threads being spaced apart from each other, at least one layer of open material, the at least one layer of open material being selected from a woven fabric, a laid scrim, a nonwoven fabric, and a perforated film, and optionally, a further layer of open material, wherein when the optional further layer of open material is present, the at least one layer of open material and the further layer of open material are positioned on opposite sides of the layer of straight, unidirectionally oriented threads.