| 地震波走时的有限差分法计算 |
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| 引用本文： | 朱金明, 王丽燕. 地震波走时的有限差分法计算[J]. 地球物理学报, 1992, 35(01): 86-92, |
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| 作者姓名： | 朱金明 王丽燕 |
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| 作者单位： | 石油地球物理勘探局 河北涿州 072750 |
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| 摘 要： | 类似于Claerbout思想,将波动方程在射线理论中的对偶——镜像方程写为上、下行波方程的形式.对变换得到的守恒型偏微分方程,用E-O格式,可计算出任意速度构造的二维网格上各点的地震波走时.文中证明了守恒型偏微分方程的通量为一凸函数,采用单调的守恒型差分格式,精度符合要求.计算速度比目前所用的各种计算走时的方法都快得多,算法也便于向量化.
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| 关 键 词： | 地震波走时 有限差分 镜像方程 |
| 收稿时间： | 1990-05-28 |
| 修稿时间： | 1991-02-20 |
FINITE DIFFERENCE CALCULATION OF SEISMIC TRAVEL TIMES |
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| ZHU JIN-MING, WANG LI-YAN. FINITE DIFFERENCE CALCULATION OF SEISMIC TRAVEL TIMES[J]. Chinese Journal of Geophysics (in Chinese), 1992, 35(01): 86-92, |
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| Authors: | ZHU JIN-MING WANG LI-YAN |
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| Affiliation: | Bureau of Geophysical Prospecting, Hebei Zhuozhou 072750 |
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| Abstract: | Similar to Claerbout' s idea, it is possible to transform the counterpart of the full wave equation in ray theory, the Eikonal equation into the form of the upgoing and/or downgoing wave equations. By application of the Engquist-Osher scheme to the transformed conservative partial differential equation, we can compute the seismic travel times of any point in a mesh with any velocity structure. The paper proves that, the flux in the conservative partial differential equation 'is a convex function. The monotone conservative finite difference scheme with first-order accuracy we used here can satisfy the accuracy demands. Its computing speed is much faster than any other travel time computing algorithms currently used. And it is vectorizable. |
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| Keywords: | Seismic travel time Finite difference Eikonal equation |
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