Dispersion and the dissipative characteristics of surface waves in the generalized S-transform domain
Dispersion and the dissipative characteristics of surface waves in the generalized S-transform domain
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DOI：
10.1190/geo2010-0330.1
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发表时间：
2012-02
期刊：
影响因子：
3.3
通讯作者：
R. Askari;R. Ferguson
中科院分区：
文献类型：
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作者：
R. Askari;R. Ferguson
波数、群速度、相速度和频率相关衰减表征了表面波在色散衰减介质中的传播。我们使用基于广义S变换的数学模型来同时估计这些特征参数，以便稍后用于近地表剪切波速的联合反演。我们在广义 S 变换中使用比例因子，以使该方法能够在高色散介质中应用。我们在 S 域中引入成本函数来估计缩放因子的最佳值。我们还使用成本函数来推广该方法对于噪声数据的应用，尤其是低频下信噪比较低的数据。在这种情况下，估计的波数会受到扰动。作为解决方案，我们使用模拟退火通过最小化成本函数来估计波数扰动。我们使用合成数据和真实数据来展示该方法估计传播参数的效率......
Wavenumber, group velocity, phase velocity, and frequency-dependent attenuation characterize the propagation of surface waves in dispersive, attenuating media. We use a mathematical model based on the generalized S transform to simultaneously estimate these characteristic parameters for later use in joint inversion for near-surface shear wave velocity. We use a scaling factor in the generalized S transform to enable the application of the method in a highly dispersive medium. We introduce a cost function in the S-domain to estimate an optimum value for the scaling factor. We also use the cost function to generalize the application of the method for noisy data, especially data with a low signal-to-noise ratio at low frequencies. In that case, the estimated wavenumber is perturbed. As a solution, we estimate wavenumber perturbation by minimizing the cost function, using Simulated Annealing. We use synthetic and real data to show the efficiency of the method for the estimation of the propagation parameters o...