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    套管井超声弯曲波弹性参数模型全波形反演的数值实验研究

    • 摘要: 固井质量评价是保障油气井井筒完整性、实现层间有效封隔和油气资源安全开发的重要技术手段。然而,常规评价方法对局部不规则水泥缺失、微环隙及非均匀环空介质的定量表征能力不足。因此,本文采用相控阵声源加载方式模拟超声弯曲波测井的指向性声束,基于二维弹性波动方程建立声压波形残差目标函数,结合伴随状态法和L-BFGS算法实现套后环空介质弹性参数模型的同步反演。基于二维数值算例,分析了套管偏心、井筒流体参数误差、起伏水泥-地层界面、小尺寸水泥缺失和微环等因素对全波形反演的影响。实验结果表明,该方法能够利用A0模式波、TIE反射波及散射波等完整波场信息,实现高阻抗套管后水泥环空介质弹性参数模型的重建,为非均匀水泥环空介质的高分辨率精确表征提供理论与技术支撑。

       

      Abstract: Cementing quality evaluation is critical for ensuring the integrity of oil and gas wellbores, achieving effective interlayer isolation, and supporting the safe development of oil and gas resources. However, conventional evaluation methods have limited capability to quantitatively characterize localized irregular cement loss, microannuli, and heterogeneous annular media. In this study, a phased-array source loading scheme is used to simulate the directional acoustic beam in ultrasonic flexural-wave logging. Based on the two-dimensional elastic wave equation, an acoustic-pressure waveform residual objective function is constructed, and the adjoint-state method and L-BFGS algorithm are combined to simultaneously invert the elastic-parameter models of annular media behind casing. On the basis of two-dimensional numerical experiments, the effects of casing eccentricity, wellbore-fluid parameter errors, undulating cement–formation interfaces, localized small-scale cement loss, and cement microannuli on full-waveform inversion are analyzed. The results show that the proposed method can make full use of complete wavefield information, including A0-mode waves, TIE reflected waves, and scattered waves, to reconstruct the elastic-parameter models of high-impedance cement annular media behind casing. This provides theoretical and technical support for the high-resolution and accurate characterization of heterogeneous cement annular media.

       

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