The pressure-based acoustic approximation of the elastic wave equations in anisotropic media has advantages corresponding to computational efficiency and numerical stability. However, the numerical scattering potentials from the anisotropic parameter perturbations for the pressure wavefield are not consistent with the elastic scattering theory. In multiparameter full-waveform inversion (FWI), choosing a suitable parameterization, considering the acquisition parameters (e.g., the offset-to-depth ratio and frequency band) and the accuracy of the anisotropy information in the background initial velocity model, is an important component to a successful anisotropic parameter estimation, because the parameterization determines the trade-off between inverted model parameters and their resolution power. However, because it is difficult to perform multiparameter FWI with various types of parameterization using the pressure-based acoustic wave equation, inaccurate scattered wavefields cause the gradient direction to lose its unique properties with respect to each model parameter. To overcome these issues, we adopt the combination of pressure- and vector-based acoustic wave equations converted vector virtual sources, which preserves the computational efficiency and the angular dependency of the partial derivative wavefields in elastic media. With the proposed method, we generate the numerical PP scattering patterns for various parameterizations, which are consistent with the elastic scattering theory. Through the numerical tests using the synthetic anisotropic Marmousi-II models and a real ocean bottom cable dataset from the North Sea, we conduct acoustic FWI with three different parameterizations using the proposed method and verify that the modified scattering patterns accurately reflect the characteristics of the anisotropic parameter perturbations.

各向异性介质中弹性波方程的基于压力的声学近似具有对应于计算效率和数值稳定性的优点。然而，压力波场各向异性参数扰动的数值散射势与弹性散射理论不一致。在多参数全波形反演（FWI）中，选择合适的参数化，考虑采集参数（例如，偏移深度比和频带）和背景初始速度模型中各向异性信息的准确性，是一个重要的因素。成功的各向异性参数估计的组成部分，因为参数化决定了反演模型参数与其分辨率之间的权衡。然而，由于使用基于压力的声波方程难以执行具有各种类型参数化的多参数 FWI，不准确的散射波场会导致梯度方向失去其相对于每个模型参数的独特属性。为了克服这些问题，我们采用了基于压力和矢量的声波方程的组合转换矢量虚拟源，这保留了弹性介质中偏导波场的计算效率和角度依赖性。使用所提出的方法，我们为各种参数化生成数值 PP 散射模式，这与弹性散射理论一致。通过使用合成各向异性 Marmousi-II 模型和来自北海的真实海底电缆数据集的数值测试，