引入径向不均匀冻胀系数K的隧道冻胀力弹性解OA

To calculate the frost heave force caused by frost damage in cold-region tunnels,based on a sum-mary of existing models,the bidirectional expansion effect of the freeze-thaw circle and the influence of sur-rounding rock porosity were considered.A radial non-uniform frost heave coefficient was introduced to more accurately describe the spatial distribution characteristics of radial frost heave.Based on the fundamental as-sumptions of the overall frost heave model of the freeze-thaw circle and combined with the actual frost heave process of tunnel surrounding rock in cold and arid regions,an improved theoretical model considering radi-al non-uniform frost heave was established,and a new frost heave force calculation model was proposed.The results show that there is an inverse proportional relationship between non-uniform frost heave and frost heave force.When the value increases from 0.5 to 5.5,the frost heave force decreases from 2.097 MPa to 0.710 MPa,indicating that the inner freezing circle has a greater impact on frost heave force than the outer freezing circle.Through numerical analysis of frost heave rate,porosity,elastic modulus,lining inner diam-eter,freeze-thaw circle thickness,lining outer diameter,and frost heave force,it was found that for every 0.01 increase in frost heave rate,the frost heave force increases by approximately 0.232 MPa;for every 0.005 increase in porosity,the frost heave force increases by approximately 0.446 MPa;and for every 1 m increase in freeze-thaw circle thickness,the frost heave force increases by approximately 0.699 MPa.The proposed calculation model has certain practical applicability and can provide theoretical references for tun-nel engineering construction in cold and arid regions.