Development and application of rock rheological constitutive model considering dynamic stress field and seepage field

• Dynamic stress fields significantly increase rheological strain in sandstone compared to creep conditions. • Rheological tests alter pore structure, decreasing small pores and increasing medium-sized pores, forming new seepage channels. • High initial rheological stress reduces sandstone permeability by accelerating fracture compression and closure of seepage channels. • A novel rock rheological constitutive model incorporating dynamic stress and seepage fields was developed and validated through numerical simulations.