The wedge-induced oblique detonation wave (ODW) at low inflow Mach number is investigated via Rankine-Hugoniot analysis and numerical simulations. The results show that the Chapman-Jouguet oblique detonation wave (CJ ODW) plays a significant role in the structure of the ODW. And the influence of the CJ ODW is the reason why an attached ODW can propagate upstream. Both the analytical and numerical results show that the decrease of inflow Mach number and the increase of wedge angle are conducive to the upstream propagation of ODW. In the upstream propagation process, a Mach reflection wave configuration is always established on the wedge surface. For the upstream propagating ODW that cannot detach from the wedge surface by itself, it will stabilize at a point on the wedge surface with an induction region, which is a few times the length of the induction zone of an ideal Zeldovich-von Neumann-Dring (ZND) detonation. Benefiting from the short induction region, the stabilized upstream propagating ODW has extraordinary stability.