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    TI介质非迭代最小二乘高斯束偏移

    Non-Iterative Least-Squares Gaussian Beam Migration in TI Media

    • 摘要: 高斯束偏移方法实现高效灵活,且对各向异性介质有良好适应性,在地震成像中得到了广泛应用。基于高斯束的最小二乘偏移(LSM)在理论上有良好的成像精度,但其在计算效率和稳定性方面仍面临诸多挑战。为提升地下复杂构造的成像效果,本文提出一种适用于横向各向同性(TI)介质的像域非迭代最小二乘高斯束偏移方法。首先,利用各向异性射线追踪计算高斯束的旅行时与振幅,进而构建TI介质下的格林函数。接着,基于格林函数解析表征地下空间的点扩散函数,并将其作为Hessian矩阵的近似。最后,利用点扩散函数对经典各向异性高斯束偏移结果进行高维反褶积处理,实现TI介质中的非迭代最小二乘偏移成像。合成模型验证表明该方法在TI介质中具有良好的成像效果,实际地震数据应用进一步证明了其应用潜力。

       

      Abstract: The Gaussian beam migration method is widely used in seismic imaging due to its high efficiency, flexibility, and good adaptability to anisotropic media. Least-squares migration (LSM) based on Gaussian beams theoretically offers superior imaging accuracy, yet it still faces challenges in computational efficiency and stability. To improve the imaging quality of subsurface complex structures, this paper proposes an image-domain, non-iterative least-squares Gaussian beam migration method suitable for transversely isotropic (TI) media. First, anisotropic ray tracing is employed to compute the traveltimes and amplitudes of Gaussian beams, thereby constructing the Green's functions for TI media. Subsequently, the point spread function (PSF) of the subsurface space is analytically characterized based on the Green's function, serving as an approximation of the Hessian matrix. Finally, high-dimensional deconvolution is applied to the classical anisotropic Gaussian beam migration result using the point spread function, achieving non-iterative least-squares migration in the image domain for TI media. Validation using synthetic models demonstrates the method's good imaging performance in TI media, and application to real seismic data further confirms its potential.

       

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