以恒源煤矿为例,根据煤矿新生界含隔水层的多层沉积特征及弹性力学理论,给出各含、隔水层的位移函数,运用变分法得出松散层底含释水时,各层下沉时作用在井筒上的摩阻力解析解。在此基础上,利用摩尔-库伦强度理论对立井井筒进行强度校核,得出立井井筒的非采动破坏的临界水头降深值。研究结果表明,恒源煤矿井筒发生非采动破坏时的极限附加荷载为0.68 MPa,即临界水头降为68 m,计算结果与矿井实际情况较为吻合。 Taking Hengyuan Coal Mine as an example, according to multi-layer sedimentary characteristics and elastic mechanics theory of aquifuge in Cenozoic coal mine, the displacement function of each aquifer and aquitard is given. By using variational method, , The various layers of sinking when acting on the wellbore frictional resistance analytical solution. On this basis, the strength of vertical shaft is checked by using the Mohr - Coulomb theory of strength, and the critical head depression value of non - mining failure of vertical shaft is obtained. The results show that the ultimate additional load of non-mining failure in the shaft of Hengyuan coal mine is 0.68 MPa, that is, the critical head drop is 68 m. The calculation results are in good agreement with the actual conditions of the mine.