The invention provides a three-dimensional
slope stability analysis method based on rapid determination of an initial value of a sliding
direction angle, and the method comprises the steps: projecting a plane to a three-dimensional slope model to generate a grid, extracting a column set in the three-dimensional slope model, calculating the volume,
gravity center position, bottom surface area and bottom surface center normal vector of each column, and calculating the initial value of the sliding
direction angle; establishing a shearing force unit
direction vector on each strip column; under the assumption of a Sweden
slice method, a
resultant force of normal contributions of all strip columns and an external load in a horizontal plane is calculated, and an initial value alpha o of a sliding
direction angle is obtained through analysis; then, by taking a
safety coefficient, a proportionality coefficient and a sliding direction
angle alpha as variables to be solved, constructing four normalized residual equations of an x-axis torque balance residual, a y-axis torque balance residual, an overall
force balance residual along the sliding direction and a horizontal
resultant force residual perpendicular to the sliding direction, forming a limited nonlinear least square problem and carrying out iterative solution; in the solving process, the sliding direction
angle alpha takes the obtained initial value alpha o of the sliding direction angle as a starting point.