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 3Xi'an University of Science and Technology, College of Geology and Environment,Xi'an 710000, China
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.
郭军旗, 范本峰, 鲁恺, 王鹏, 翟好杰. 不规则测线视电阻率数据的3D反演方法[J]. 物探与化探, 2025, 49(4): 896-901.
GUO Jun-Qi, FAN Ben-Feng, LU Kai, WANG Peng, ZHAI Hao-Jie. A 3D inversion method for apparent resistivity data along irregular survey lines under complex terrain. Geophysical and Geochemical Exploration, 2025, 49(4): 896-901.
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.
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.
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.
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.
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.
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.
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.
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.
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.
doi: 10.1007/s11053-021-09888-4
[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.
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.
doi: 10.1111/1365-2478.13008
[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.
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.
