The conductivity of acid cracks was the key to the transformation effects of acid fracturing. Due to the influences of rock properties

etching morphology and closing pressure

it was difficult to accurately predict the conductivity of acid fractures. Currently

there were many computational models for acid fractures geometry and acid penetration distance

but there were few researches on the computational model of flow capacity. For this reason

we built the acid fracturing model of cracks based on the improved self-affine fractal theory and applied it to the fractal fractures. And then

by the local cubic law（LCL）

we built the acid fracture conductivity calculation model and applied the quadrature analysis to the main factors which affected the conductivity of the acid fracture after closure. The results showed that the influencing degree of those factors which affected the acid fracture conductivity were as follows: closure stressfractal dimensioninjection timematrix permeabilityinjection ratestandard deviationmatrix porosity.