Attenuation exists in seismic wave propagation in subsurface layers, and relatively high attenuation occurs in oil-bearing reservoirs. Inversion of frequency components of observed seismic data generates values of attenuation factor 1/ Q , which produces potential results for determining oil-bearing reservoirs. Beginning with expressions of seismic wave velocity in attenuating media, we involve P-wave maximum attenuation factor to rewrite P-wave velocity driven by an attenuating rock physics model, and we also employ an empirical relationship between P-wave attenuation factor and S-wave attenuation factor to express S-wave velocity in terms of P-wave maximum attenuation factor. Using the derived P- and S-wave velocities, we extend Zoeppritz equations to compute reflection coefficient for an interface separating two attenuating media. Under the assumption that contrasts in elastic properties of two media across the interface are small and the background attenuation is weak, we propose a linearized reflection coefficient of PP-wave as a function of contrasts in elastic parameters (i.e., P-wave velocity, S-wave velocity and density) and attenuation factor, and expression of elastic impedance (EI) is also presented. Based on the EI, we demonstrate an approach of estimating elastic parameters and attenuation factor from frequency components of partially incidence-stacked seismic data, which is implemented as a two-step inversion involving the prediction of EI datasets using a model-based damping least-squares algorithm and nonlinear inversion for elastic parameters and attenuation factor. Noisy synthetic seismic data generated using the extended Zoeppritz equations are employed to verify the robustness and stability of the proposed inversion approach. Applying the proposed approach to a real dataset acquired over an oil-bearing reservoir, we obtain convincing results of P-wave velocity, S-wave velocity, density and attenuation factor, which can reasonably match corresponding well log data.

中文翻译：

---

衰减岩石物理模型驱动的弹性参数地震频率分量反演和最大反质量因子

地震波在地下层传播存在衰减，含油储层衰减相对较大。对观测到的地震数据的频率分量进行反演会产生衰减因子 1/ Q 的值，这为确定含油储层产生了潜在的结果。从衰减介质中地震波速度的表达式开始，我们引入纵波最大衰减因子来改写衰减岩石物理模型驱动的纵波速度，并利用纵波衰减因子与横波之间的经验关系衰减因子以 P 波最大衰减因子表示 S 波速度。使用导出的 P 波和 S 波速度，我们扩展 Zoeppritz 方程来计算分离两种衰减介质的界面的反射系数。在假设两种介质在界面上的弹性特性对比很小并且背景衰减很弱的情况下，我们提出了 PP 波的线性反射系数作为弹性参数（即 P 波速度，S -波速度和密度）和衰减因子，以及弹性阻抗 (EI) 的表达式。基于 EI，我们展示了一种从部分入射叠加地震数据的频率分量估计弹性参数和衰减因子的方法，该方法作为两步反演实现，涉及使用基于模型的阻尼最小的 EI 数据集预测 -弹性参数和衰减因子的平方算法和非线性反演。使用扩展的 Zoeppritz 方程生成的噪声合成地震数据被用来验证所提出的反演方法的鲁棒性和稳定性。将所提出的方法应用于在含油储层上获得的真实数据集，我们获得了令人信服的纵波速度、横波速度、密度和衰减因子结果，可以合理地匹配相应的测井数据。