Assuming that the back-filled grouts are Newtonian fluids, and the grouts diffuse with cylinder surface, the grouts diffusion radius and the pressure to shield tunnel segments in case of grouting at the tail as well as through segments, are studied by substituting the intrinsic void percent with the equivalent void percent of the soil to consider the influence of construction gap. As a result, the formula used to calculate the radius and the pressure are acquired. It is shown that the grouts diffusion radius and the pressure to segments are related to many factors, such as the grouting pressure, grouting time, characteristic of the surrounding soil and the grouts, etc. It is also shown that the pressure to the segments produced by grouting at the tail is less than grouting through segments. With other parameters known, the relationship between the grouts diffusion radius, pressure to segments, and the grouting pressure, grouting time is discussed by an engineering example, which shows that both the diffusion radius and the pressure to segments increase with the increase of the grouting pressure and grouting time, but their speeds are different.