In recent years, pre-stack time migration has developed rapidly in various fields. The composite reservoir in the Tahe oilfield is complicated in type of hydrocarbon trap, thin in reservoir thickness, low in amplitude of structure, laterally variable in lithology, and strong in heterogeneity. Compared with poststack time migration and conventional bend-ray Kirochhoff pre-stack time migration, the imaging resulting from asymmetric travel time Kirochhoff pre-stack time migration is clearer in images of faults, breakpoints, planes of unconformity and reflector structures in the Ordovician carbonate reservoir. The lateral resolution of the stack section is improved.