During acid fracturing of carbonate reservoir, the effective distance of pre
fluid is limited. There are acidfree zones at the front of open fractures, and the dislocation selfsupporting fractures form because of the
shear slip between fracture surfaces in this area. The fracture network composed of shear selfsupporting fracture, open microfracture and acid
etching main fracture has significantly changed the seepage condition and flow process of oil and gas, but the magnitude and variation law of its
conductivity are still unclear. The selfsupporting fracture is simulated by artificial fracture of carbonate outcrop slab, the surface
morphology of rough fracture is characterized, and the conductivity of selfsupporting fracture of carbonate rock under different slip and
closing stress conditions is tested. The results show that in logarithmic coordinates, the conductivity of high roughness cracks tends to decrease
with the increase of closing stress in “Polyline type”, while that of low roughness cracks tends to decrease in “Linear type”. Under low
closing stress, high roughness cracks are more likely to have high conductivity, while there is no direct correlation between slip and
conductivity of cracks. Under the closed stress of 552 MPa, the selfsupporting fracture conductivity of carbonate rocks in Deng4 section in
central Sichuan is very limited only with average value of 069 D·cm. The research results provide an important reference for acid
fracturing design of the precursor fluid in this kind of carbonate reservoirs.