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Refraction ray-tracing in complex medium |
Xu Tao1, Xu Guo-ming1, Gao Er-gen1, Jiang Xian-yi2 |
College of Space Science,China Science and Technology University,Hefei City,Anhui Province,230026,China |
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Abstract Starting from 2-D layered medium model,the paper described the theory of iterative refraction ray-tracing segment by segment:as the primary ray-paths connecting shot-points and receiver points met Fermat's principle,the ray-paths connecting three arbitrary points also met the Fermat's principle.Accordingly,the first-order modified formula for transmitted intermediate points and refracted points is derived and whole ray-path can be computed for refracted ray iteratively segment by segment.The first-order explicit modified increment formula at refracted points of arbitrary interface is derived and the principle is popularized to the 2-D blocky medium model,which is used to solve refraction ray-tracing in complex medium that avoids solve the high-order,multivariate equations and is characteristic of fast computational speed and suitable for arbitrary interface.The paper also pointed out that the reasons having bigger difficulties in blocky medium than in layered medium when using iterative ray-tracing segment by segment are in increasing and deleting the ray-path points.The real case showed that the method in the paper is an effective refraction ray-tracing method.
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Received: 20 January 2004
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