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Full-waveform Velocity Inversion Based on the Acoustic Wave Equation

机译:基于声波方程的全波形速度反演

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Full-waveform velocity inversion based on the acoustic wave equation in the time domain is investigated in this paper. The inversion is the iterative minimization of the misfit between observed data and synthetic data obtained by a numerical solution of the wave equation. Two inversion algorithms in combination with the CG method and the BFGS method are described respectively. Numerical computations for two models including the benchmark Marmousi model with complex structure are implemented. The inversion results show that the BFGS-based algorithm behaves better in inversion than the CG-based algorithm does. Moreover, the good inversion result for Marmousi model with the BFGS-based algorithm suggests the quasi-Newton methods can provide an important tool for large-scale velocity inversion. More computations demonstrate the correctness and effectives of our inversion algorithms and code.
机译:本文研究了基于声波方程的时域全波形速度反演。反演是通过波动方程的数值解获得的观测数据与合成数据之间的失配的迭代最小化。分别介绍了结合CG法和BFGS法的两种反演算法。对包括复杂结构的基准Marmousi模型在内的两个模型进行了数值计算。反演结果表明,基于BFGS的算法在反演方面比基于CG的算法表现更好。此外,基于BFGS的算法对Marmousi模型的良好反演结果表明,拟牛顿法可以为大规模速度反演提供重要工具。更多的计算证明了我们的反演算法和代码的正确性和有效性。

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