Method of Equilibrium Differential Equation for Analysis of Strength of Large Deflection Drill String

To counter the strength problem of drill string in well of large curvature and small diameter,well axis was taken as datum axis.Based on description of deflection of well axis and on analysis of three dimensional forces of a small section of drill string,equilibrium differential equations of large deflection drill string were established.The internal forces were found by Longe-Kutta method.The stresses were found by using them and the strength prerequisite was established.Stresses of drill string in lateral horizontal well H767 were computed.The results are in agreement with those of finite element model and soft-rope rigidified model.But the method is simpler for computation than finite element model and is more perfect than soft-rope rigidified model.Curvature of the well is too large and there is stress concentration so that the fraction accident of drill string occurs.