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本文建立了高炉炉底侵蚀监测的轴对称数学模型。即通过求解控制高炉炉底传热过程的热传导方程，解得在假想侵蚀边界条件下的有限个边界点的温度值，再通过正交试验的方法确定满足实测边界温度分布的侵蚀边界。计算所采用的数值方法是边界元素法（ＢＥＭ），边界的离散采用常数元离散，代数方程组的求解采用主元素消去法，所得计算结果与通过水电模拟实验所得的实验结果相吻合。
In this paper, an axisymmetric mathematical model of blast furnace bottom erosion monitoring was established. That is to say, by solving the heat conduction equation governing the heat transfer in the bottom of the blast furnace, the temperature of a limited number of boundary points under the hypothetical erosion boundary condition is solved, and then the erosion boundary meeting the measured boundary temperature distribution is determined by orthogonal test. The numerical method used in the calculation is the Boundary Element Method (BEM). The discretization of the boundary is discretized by the constant elements. The solution of the algebraic equations is solved by the principal element elimination method. The calculated results are in good agreement with the experimental results obtained through the hydropower simulation.