A pore network model was used in this paper to investigate the factors,in particular,throat radius,wettability and initial water saturation,causing water block in low permeability reservoirs.A new term-relative permeability number(RPN)was firstly defined,and then used to describe the degree of water block.Imbibition process simulations show that the RPN drops in accordance with the extension of the averaged pore throat radius from 0.05 to 1.5 μm,and yet once beyond that point of 1.5 μm,the RPN reaches a higher value,indicating the existence of a critical pore throat radius where water block is the maximum.When the wettability of the samples changes from water-wet to weakly water-wet,weakly gas-wet,or gas(oil)-wet,the gas RPN increases consistently,but this consistency is disturbed by the RPN dropping for weakly water-wet samples for water saturations less than 0.4,which means weakly waterwet media are more easily water blocked than water-wet systems.In the situation where the initial water saturation exceeds 0.05,water block escalates along with an increase in initial water saturation.