Inversion to Recover Electrode position Displacements on 3D Electrical Resistivity Tomography Monitoring Grids
Inversion to Recover Electrode position Displacements on 3D Electrical Resistivity Tomography Monitoring Grids
复制标题
反演以恢复 3D 电阻率断层扫描监测网格上的电极位置位移
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
P. Meldrum
中科院分区：
文献类型：
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作者：
P. Wilkinson;S. Uhlemann;J. Chambers;P. Meldrum
安装在活跃山体滑坡和脆弱土方工程上以监测与水分动态相关的电阻率变化的电极可能会受到移动的影响。这会影响地电数据并导致所得电阻率断层成像（ERT）图像中的误差。本文演示了选择适当的ERT测量，以提供在平面上的两个方向上的电极位移的灵敏度。线性和赤道偶极偶极测量的组合被认为是，允许使用任何纵横比的矩形网格。一个高斯-牛顿反演方案的开发，允许纳入的基础上的运动的幅度和方向的约束。使用设计用于模拟计划的实验室实验的合成数据来证明约束的影响。在现实水平的数据噪声和不确定性的存在下，在优选的移动方向，反演方法是能够恢复的电极的位移与小于1%的电极间距的均方根失配。
Electrodes installed on active landslides and vulnerable earthworks to monitor changes in resistivity associated with moisture dynamics can be subject to movement. This affects the geoelectrical data and leads to errors in the resulting Electrical Resistivity Tomography (ERT) images. This paper demonstrates the selection of appropriate ERT measurements to provide sensitivity to electrode displacements in both directions on a plane. A combination of linear and equatorial dipole-dipole measurements are considered, which permit use on rectangular grids of any aspect ratio. A Gauss-Newton inversion scheme is developed that allows for the incorporation of constraints based on the magnitude and direction of movement. The effects of the constraints are demonstrated using synthetic data designed to simulate a planned laboratory experiment. In the presence of realistic levels of data noise and uncertainty in the preferred directions of movement, the inversion method is able to recover the displacements of the electrodes with a root-mean-square misfit of less than 1% of the electrode spacing.