本文的研究结果丰富了介质波动理论和同伦方法的应用范围，对促进正、反演在工程中的应用具有一定的理论意义与实际价值。
The results in this thesis enrich the application range of media wave theory and the homotopy methods application in inversion problems, which are of great theoretical and practical significance.
文章针对传统的声波阻抗反演方法的不足，将大范围收敛的同伦方法用于地震勘探声波阻抗的反演。
In consideration of the drawbacks in conventional acoustic impedance inversion method, the homotopy method with vast convergence was applied to the acoustic impedance inversion in seismic exploration.
文章针对传统的声波阻抗反演方法的不足，将大范围收敛的同伦方法用于地震勘探声波阻抗的反演。
In consideration of the drawbacks in conventional acoustic impedance inversion method, the homotopy method with vast convergence was applied to the acoustic impedance inversion in seismic exploration.
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