波动方程Maslov射线解的有限差分计算

AN FINITE-DIFFERENCE CALCULATION OF MASLOV ASYMPTOTIC RAY SOLUTION FOR WAVE EQUATION

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．

Based on the finite-difference method of conservational eikon equation, an algorithm of Maslov asymptotic ray solution for wave equation is developed, and is discussed in different coordinate systems.In the four numerical models, the ray-paths,wavefronts and the corresponding seismograms of transmitted waves and reflected waves is cumputed.The results show that our algorithm is accurate and fast. Our method Presented can be used in Prestack Kirchhoff depth migration and inhomogeneous medium seatting problem for the calculation of Green function. The limitation to the algorithm is also discussed in the end of this Paper.