| 用一阶扰动理论计算各向异性介质中的走时 |
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| 引用本文： | 张文生,何樵登,韩立国.用一阶扰动理论计算各向异性介质中的走时[J].吉林大学学报(地球科学版),1997(4). |
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| 作者姓名： | 张文生 何樵登 韩立国 |
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| 作者单位： | 长春科技大学地球探测与信息技术学院 |
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| 摘 要： | 根据各向异性介质的扰动理论来计算走时。首先简述各向异性介质的扰动理论，并推导非退化和退化情况的相速度扰动公式，而走时扰动可表示为沿未扰动介质中射线路径的积分；当未扰动介质选为均匀各向同性介质时，计算就较为简化。所给的数值例子证明了相速度扰动公式和走时计算公式的正确性。
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| 关 键 词： | 各向异性介质 扰动理论 走时计算 |
CALCULATING TRAVELTIME IN ANISOTROPIC MEDIA USING THE FIRST-ORDER PERTURBATION THEORY |
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| Zhang Wensheng,He Qiaodeng,Han Liguo.CALCULATING TRAVELTIME IN ANISOTROPIC MEDIA USING THE FIRST-ORDER PERTURBATION THEORY[J].Journal of Jilin Unviersity:Earth Science Edition,1997(4). |
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| Authors: | Zhang Wensheng He Qiaodeng Han Liguo |
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| Abstract: | The traveltime in anisotropic media is calculated, in the present study, based on the first order perturbation theory. The theory is briefly introduced and the perturbation formula of phase velocity are derived for both non-degenerate case and degenerate case, then the traveltime perturbation formula can be expressed as the integration along the ray path in unperturbed medium. If the unperturbed medium is choosen as a homogeneous isotropic one, the calculation may be much more simple and efficient. Numerical examples in the paper demonstrate the correctness of the perturbation formrla of phase velocity and of the traveltime calculation formula. |
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| Keywords: | anisotropic media perturbation theory traveltime calculation |
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