Fractured　porous　media　with　primary　and　secondary　fractures　play　a　key　role　in　the　propagation　of　wormholes.　In　this　study,　we　present　a　nonlocal　reactive　flow　framework,　which　is　based　on　peridynamic　(PD)　theory,　for　modelling　acid　injected　into　fractured　porous　media.　The　normalised　damage　index　and　the　fracture　bond　damage　index　ratio　are　proposed　to　investigate　the　influence　of　fractures　on　the　wormhole　patterns　and　optimal　injection　rate.　The　results　of　matrix　acidification　in　fractured　porous　media　with　different　fracture　apertures　demonstrate　that　the　PD　reactive　flow　model　can　predict　acid　transport　in　fractures　and　capture　complex　porosity　evaluation　processes.　The　parallel　fractures　more　easily　become　the　dominant　wormhole　propagation　paths,　whereas　more　branches　connected　to　the　perpendicular　fractures　are　observed.　A　series　of　2D　radial　reactive　flows　with　different　fracture　propagation　rates　is　conducted.　The　optimum　injection　rate　decreases　as　the　fracture　propagation　rate　increases.　When　acid　is　injected　at　the　optimum　injection　rate,　the　pore　volume　of　acid　to　breakthrough　(decreases　to　lower　than　1.24)　and　acid　leak-off　are　minimal　(the　fracture　bond　damage　index　ratio　increases　to　higher　than　44.8%).　These　findings　may　contribute　to　the　understanding　of　wormholing　in　fractured　porous　media,　with　implications　for　reactive　flow-related　processes　such　as　CO2　sequestration,　karst　system　formation,　and　carbonate　reservoir　stimulation.