基于正余弦算法的瑞利波频散曲线反演
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付宇, 艾寒冰, 姚振岸, 梅竹虚, 苏可嘉
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Inversion of the Rayleigh wave dispersion curves based on the sine-cosine algorithm
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FU Yu, AI Han-Bing, YAO Zhen-An, MEI Zhu-Xu, SU Ke-Jia
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表2 模型A、B、C、D含噪声与不含噪声反演结果
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Table 2 Inversion results of noise-free and noise-contaminated data with model A,B,C and D
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| 模型 | 参数 | 真实值 | | 不含噪声 | | | | 含噪声 | | | 反演均值 | 相对误差/% | 标准差 | | 反演均值 | 相对误差/% | 标准差 | | 模型A | vs1/(m·s-1) | 200 | 199.54 | 0.23% | 1.28 | | 199.69 | 0.15% | 2.71 | | vs2/(m·s-1) | 350 | 347.90 | 0.60% | 5.98 | | 350.79 | 0.23% | 9.07 | | H1/m | 5 | 4.76 | 4.76% | 0.18 | | 4.75 | 5.00% | 0.22 | | 模型B | vs1/(m·s-1) | 200 | 200.94 | 0.47% | 2.52 | | 200.95 | 0.47% | 3.82 | | vs2/(m·s-1) | 300 | 300.75 | 0.25% | 7.42 | | 304.07 | 1.36% | 15.60 | | vs3/(m·s-1) | 400 | 399.19 | 0.20% | 9.34 | | 391.88 | 2.03% | 25.47 | | vs4/(m·s-1) | 500 | 500.19 | 0.04% | 6.03 | | 499.62 | 0.08% | 6.80 | | H1/m | 2 | 2.05 | 2.52% | 0.11 | | 2.02 | 0.83% | 0.16 | | H2/m | 4 | 3.99 | 0.24% | 0.28 | | 3.96 | 1.12% | 0.18 | | H3/m | 6 | 5.59 | 6.76% | 0.53 | | 5.61 | 6.54% | 0.97 | | 模型C | vs1/(m·s-1) | 200 | 197.78 | 1.11% | 9.25 | | 199.90 | 0.05% | 14.71 | | vs2/(m·s-1) | 160 | 161.15 | 0.72% | 4.52 | | 160.55 | 0.34% | 5.35 | | vs3/(m·s-1) | 300 | 286.04 | 4.65% | 32.13 | | 285.78 | 4.74% | 22.89 | | vs4/(m·s-1) | 400 | 397.61 | 0.60% | 13.58 | | 397.19 | 0.70% | 18.96 | | H1/m | 2 | 1.97 | 1.57% | 0.17 | | 1.91 | 4.51% | 0.23 | | H2/m | 4 | 3.86 | 3.58% | 0.43 | | 3.85 | 3.71% | 0.30 | | H3/m | 6 | 5.62 | 6.28% | 1.09 | | 5.51 | 8.16% | 0.43 | | 模型D | vs1/(m·s-1) | 150 | 150.58 | 0.39% | 1.03 | | 149.80 | 0.13% | 2.92 | | vs2/(m·s-1) | 250 | 252.30 | 0.92% | 4.25 | | 251.41 | 0.56% | 7.38 | | vs3/(m·s-1) | 200 | 199.81 | 0.09% | 3.94 | | 202.01 | 1.01% | 4.41 | | vs4/(m·s-1) | 400 | 400.90 | 0.23% | 4.80 | | 400.46 | 0.12% | 6.36 | | H1/m | 2 | 2.03 | 1.41% | 0.07 | | 2.03 | 1.36% | 0.08 | | H2/m | 4 | 3.93 | 1.78% | 0.14 | | 3.98 | 0.44% | 0.24 | | H3/m | 6 | 6.09 | 1.45% | 0.23 | | 5.99 | 0.14% | 0.26 |
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