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借助于守恒型程函方程的有限差分解法，构造出一种地震波场Ｍａｓｌｏｖ渐近解的数值计算方法，并针对不同坐标系进行了讨论．文中通过不同模型分别计算了透射波和反射波的射线路径、走时及相应的合成地震记录，结果表明本算法具有快速、准确的特点．本文算法可用于叠前Ｋｉｒｃｈｈｏｆｆ深度偏移及非均匀介质逆散射问题中Ｇｒｅｅｎ函数的计算，并就算法本身的局限性作了讨论．
By means of the finite difference solution of the conservation equation equation, a numerical method of calculating the Maslov asymptotic solution of the seismic wave field is constructed, and the different coordinate systems are discussed. In this paper, the ray paths, travel times and corresponding synthetic seismograms of transmitted and reflected waves are calculated respectively by different models. The results show that the proposed algorithm is fast and accurate. The proposed algorithm can be used to calculate the Green’s function in the prestack Kirchhoff depth migration and inhomogeneous medium inverse scattering problems, and the limitation of the algorithm itself is discussed.