Abstract: In order to study the seepage law of Bingham fluid in a rough single fracture， a seepage model describing the viscous and viscous inertial flow of Bingham fluid in rock mass fractures was proposed， and the model was verified by numerical simulation and laboratory tests. The seepage simulation of Bingham fluid with different rheological parameters in rough fractures under a wide range of pressure gradients was carried out. Combined with the modified Forchheimer equation， the non-Darcy coefficient β， critical Reynolds number Re_c， non-Darcy effect factor E and other variation characteristics of Bingham fluid under different geometric parameters and rheological parameters of fractures were analyzed. The results show that the viscosity model derived from the Bingham fluid constitutive equation can better describe the viscous flow. The modified Forchheimer equation can better describe the visco-inertial seepage characteristics of Bingham fluid in rough fractures. Roughness and rheological parameters have a significant impact on seepage characteristics: the larger the fracture roughness， the larger the yield stress of the slurry; the larger the plastic viscosity of the slurry， the stronger the inertia effect.

Key words: rough fracture; rheological parameter; seepage law; numerical analysis; Forchheimer equation; Bingham fluid