|
|
A 3D inversion method for apparent resistivity data along irregular survey lines under complex terrain |
GUO Jun-Qi1( ), FAN Ben-Feng2, LU Kai3( ), WANG Peng3, ZHAI Hao-Jie3 |
1. Kuche Kexing Coal Industry Co., Ltd., Aksu 842008, China 2. No. 9 Geological Team of Bureau of Geology and Mineral Resources of Xinjiang Uygur Autonomous Region, Urumqi 830000, China 3 Xi'an University of Science and Technology, College of Geology and Environment, Xi'an 710000, China |
|
|
Abstract The electrical resistivity tomography (ERT) method has become the primary geophysical technique for landslide structure investigation. However, the complex terrain of landslides and the impacts of collapsed surface features render it challenging to arrange survey lines orderly along a straight line in practice. This leads to deviations in the calculations of apparent resistivity. To minimize the impacts of irregular survey lines on the final results, this study developed a scheme for the 3D inversion of measured data. Specifically, this scheme minimized 3D grid subdivision by identifying the rectangle enclosing the minimum area of complete survey lines. Meanwhile, this scheme suppressed the changes in model parameters in the vertical direction by increasing the regularization parameters along the vertical direction of the survey lines. Numerical simulation results indicate that, compared to the traditional 2D inversion scheme, the proposed 3D inversion scheme can significantly improve the identification accuracy of the sliding zone. The measured results of the Baishuihe landslide have verified the effectiveness of the proposed method.
|
Received: 26 June 2024
Published: 07 August 2025
|
|
|
|
|
|
Schematic of the 3D inversion process for resistivity data from irregular survey lines a—the electrode distribution in the projected coordinate system; b—the minimum enclosing rectangular area and the transformed coordinate system; c—the grid division after coordinate transformation; d—the resistivity model obtained from 3D inversion after maximizing the regularization parameter in the y direction; e—the resistivity data extracted at the bottom of the survey line; f—the resistivity cross-section diagram where the coordinates in e are converted into 2D survey line length and elevation
|
|
Schematic of numerical model of landslide bodies and irregular survey lines
|
|
Numerical simulation results a—shows the resistivity model at the bottom of the survey line, where the blue area represents 30 Ω·m and the red area represents 100 Ω·m; b—shows the 2D cross-sectional display of the 3D forward modeling apparent resistivity data; c—shows the smooth-constrained 2D inversion cross-section, where the black lines represent the projected positions of the fault zones on the inversion cross-section; d—shows the resistivity cross-section obtained by the 3D inversion method in this study
|
|
Surface topography of the Baishui River landslide and positions of actual survey lines
|
|
Inversion results of actual measured data from irregular survey lines a—shows the results for ERT-1 survey line; b—shows the results for ERT-2 survey line
|
[1] |
杨振威, 严加永, 刘彦, 等. 高密度电阻率法研究进展[J]. 地质与勘探, 2012, 48(5): 969-978.
|
[1] |
Yang Z W, Yan J Y, Liu Y, et al. Research progresses of the high-density resistivity method[J]. Geology and Exploration, 2012, 48(5): 969-978.
|
[2] |
底青云, 倪大来, 王若, 等. 高密度电阻率成像[J]. 地球物理学进展, 2003, 18(2): 323-326.
|
[2] |
Di Q Y, Ni D L, Wang R, et al. High-density resistivity image[J]. Progress in Geophysics, 2003, 18(2): 323-326.
|
[3] |
Ducut J D, Alipio M, Go P J, et al. A review of electrical resistivity tomography applications in underground imaging and object detection[J]. Displays, 2022, 73: 102208.
|
[4] |
郭秀军, 贾永刚, 黄潇雨, 等. 利用高密度电阻率法确定滑坡面研究[J]. 岩石力学与工程学报, 2004, 23(10): 1662-1669.
|
[4] |
Guo X J, Jia Y G, Huang X Y, et al. Application of multi-electrodes electrical method to detection of slide-face position[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(10): 1662-1669.
|
[5] |
李富, 周洪福, 葛华. 不同类型滑坡体的高密度电阻率法勘察电性特征[J]. 物探与化探, 2019, 43(1): 215-221.
|
[5] |
Li F, Zhou H F, Ge H. Electrical characteristics of different types of landslide bodies investigated by high-density electrical method[J]. Geophysical and Geochemical Exploration, 2019, 43(1): 215-221.
|
[6] |
刘栋, 张帆宇, 陈立, 等. 高密度电法在黄土滑坡结构探测与三维建模中的应用[J]. 地球物理学进展, 2022, 37(4): 1742-1748.
|
[6] |
Liu D, Zhang F Y, Chen L, et al. Application of high-density electrical method in detecting and 3D modeling of loess landslide[J]. Progress in Geophysics, 2022, 37(4): 1742-1748.
|
[7] |
高明亮, 于生宝, 郑建波, 等. PSBP在高密度电阻率法二维反演中的应用[J]. 吉林大学学报: 工学版, 2015, 45(6): 2026-2033.
|
[7] |
Gao M L, Yu S B, Zheng J B, et al. Application of PSBP method in high-density two-dimensional resistivity inversion[J]. Journal of Jilin University: Engineering and Technology Edition, 2015, 45(6): 2026-2033.
|
[8] |
张卫国, 匡伶俐. 高密度电阻率法二维层析成像研究与应用[J]. 煤田地质与勘探, 2008, 36(2): 55-58.
|
[8] |
Zhang W G, Kuang L L. Research and application of two-dimensional high density resistivity tomography[J]. Coal Geology & Exploration, 2008, 36(2): 55-58.
|
[9] |
Arjwech R, Phothaworn T, Chaisuriya S, et al. Evaluation of slope susceptibility using 2D electrical resistivity tomography supplemented with spatial resistivity change[J]. Geotechnical and Geological Engineering, 2023, 41(7): 4023-4039.
|
[10] |
Cardarelli E, Fischanger F. 2D data modelling by electrical resistivity tomography for complex subsurface geology[J]. Geophysical Prospecting, 2006, 54(2): 121-133.
|
[11] |
Yuan Y, Qiang J K, Tang J T, et al. 2.5D direct-current resistivity forward modelling and inversion by finite-element-infinite-element coupled method[J]. Geophysical Prospecting, 2016, 64(3): 767-779.
|
[12] |
李忠平. 基于高密度电法温纳装置的三维电阻率反演应用[J]. 地球物理学进展, 2020, 35(3): 970-975.
|
[12] |
Li Z P. Application of 3D resistivity inversion based on Winner device of high density electricity method[J]. Progress in Geophysics, 2020, 35(3): 970-975.
|
[13] |
戴前伟, 肖波, 冯德山, 等. 基于二维高密度电阻率勘探数据的三维反演及应用[J]. 中南大学学报: 自然科学版, 2012, 43(1): 293-300.
|
[13] |
Dai Q W, Xiao B, Feng D S, et al. 3D inversion of high density resistivity method based on 2D exploration data and its application[J]. Journal of Central South University: Science and Technology, 2012, 43(1): 293-300.
|
[14] |
王新宇, 王程, 毛玉蓉, 等. 基于混合网格有限元的直流电阻率法三维正演研究[J]. 煤田地质与勘探, 2022, 50(5): 136-143.
|
[14] |
Wang X Y, Wang C, Mao Y R, et al. 3D forward modeling of DC resistivity method based on finite element with mixed grid[J]. Coal Geology & Exploration, 2022, 50(5): 136-143.
|
[15] |
Shin Y, Shin S, Cho S J, et al. Application of 3D electrical resistivity tomography in the yeoncheon titanomagnetite deposit, south Korea[J]. Minerals, 2021, 11(6): 563.
|
[16] |
Rupesh, Tiwari P, Sharma S P. High-resolution quasi-3D electric resistivity tomography for deciphering groundwater potential zones in lateritic terrain[J]. Natural Resources Research, 2021, 30(5): 3339-3353.
|
[17] |
Turarova M K, Mirgalikyzy T, Mukanova B G, et al. Evaluation of the 3D topographic effect of homogeneous and inhomogeneous media on the results of 2D inversion of electrical resistivity tomography data[J]. Modelling and Simulation in Engineering, 2022, 2022(1): 5196686.
|
[18] |
黄凯. GNSS-RTK物探测量独立工程坐标系统的建立[J]. 测绘与空间地理信息, 2022, 45(5): 77-79.
|
[18] |
Huang K. The construction of independent engineering coordinate system in GNSS-RTK geophysical measurements[J]. Geomatics & Spatial Information Technology, 2022, 45(5): 77-79.
|
[19] |
Akl S. Inherently parallel geometric problems[R]. Technical Report, 2004.
|
[20] |
Loke M H, Papadopoulos N, Wilkinson P B, et al. The inversion of data from very large three-dimensional electrical resistivity tomography mobile surveys[J]. Geophysical Prospecting, 2020, 68(8): 2579-2597.
|
[21] |
Loke M H, Wilkinson P B, Kuras O, et al. The use of a semi-structured finite-element mesh in 3-D resistivity inversion[J]. Geophysical Prospecting, 2022, 70(9): 1580-1601.
|
[22] |
卢书强, 易庆林, 易武, 等. 库水下降作用下滑坡动态变形机理分析——以三峡库区白水河滑坡为例[J]. 工程地质学报, 2014, 22(5): 869-875.
|
[22] |
Lu S Q, Yi Q L, Yi W, et al. Study on dynamic deformation mechanism of landslide in drawdown of reservoir water level:Take Baishuihe landslide in Three Gorges Reservoir area for example[J]. Journal of Engineering Geology, 2014, 22(5): 869-875.
|
[1] |
LI Guo-Hao, LYU Yu-Zeng, DONG Yi-Fan, YU Hai-Tao. Semi-supervised learning inversion of data derived from high-resolution electrical resistivity tomography based on forward modeling constraints[J]. Geophysical and Geochemical Exploration, 2025, 49(3): 661-669. |
[2] |
JIANG Guo-Qing, HAO She-Feng, YU Yong-Xiang, Du Jian-Guo, LI Ming, SHANG Tong-Xiao, SONG Jing-Lei. Landslide survey based on three-dimensional resistivity inversion: A case study of the Xuelang Mountain scenic spot, Wuxi, China[J]. Geophysical and Geochemical Exploration, 2024, 48(6): 1720-1729. |
|
|
|
|