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Seismic imaging of transmission overhead line structure foundations

机译：输电架空线结构基础的地震成像

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The goal of the presented work is to determine the shape of transmission overhead line structure foundations. A seismic imaging technique is used. It is formulated as an inverse scattering problem where two-dimensional maps of the pressure- and shear-wave velocities are estimated. The inversion amounts to a large-scale, nonlinear programming problem. It is rendered all the more difficult by the large dimensions of the scattering object and the high velocity contrasts. In this context, our goal is to propose an inversion scheme that produces precise images with an acceptable computational effort. This goal is met by combining the following elements: (i) minimization of a penalized least-square criterion with a quasi-Newton algorithm, (ii) frequency domain formulation in order to introduce the measured data progressively and (iii) introduction of a logarithmic change of variables for the quantities to be estimated. The latter point is our main contribution. Its role is to counterbalance the lack of sensitivity of the criterion and its introduction results in a significant acceleration of the inversion process.
机译：提出的工作的目的是确定输电架空线结构基础的形状。使用地震成像技术。它被公式化为逆散射问题，其中估计了压力波和剪切波速度的二维图。反演相当于一个大规模的非线性规划问题。散射物体的大尺寸和高速度的对比使它变得更加困难。在这种情况下，我们的目标是提出一种能以可接受的计算量生成精确图像的反演方案。通过结合以下要素来实现此目标：（i）最小化最小二乘标准与拟牛顿算法，（ii）频域公式化，以便逐步引入测量数据，以及（iii）对数引入估计数量变量的变化。后一点是我们的主要贡献。它的作用是平衡标准缺乏敏感性，其引入导致反演过程的显着加速。

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