Uncertainty Analysis of 1D Magnetotelluric Inversion Model Using the Neighborhood Algorithm: Application to Kilauea Volcano
Abstract
Magnetotellurics (MT) is a passive geophysical method that relies on the principles of electromagnetic induction to delineate subsurface resistivity distributions. This study implements the Neighborhood Algorithm (NA) for one-dimensional (1D) inversion of MT data to overcome local minima traps and analysis model uncertainty. The performance of the NA is evaluated using the Rosenbrock function and synthetic MT data. The evaluation results show that the NA successfully achieves convergence with a misfit of less than 2.0 on synthetic data with 5% added Gaussian noise. Furthermore, the NA is applied to field MT data from Kilauea Volcano, Hawaii. The performance of the NA in modeling the field data is compared to a conventional approach, namely the Levenberg-Marquardt (LM) algorithm. The field data modeling results demonstrate that the NA (misfit 1.99) outperforms the LM algorithm (misfit 2.52). Additionally, the NA provides supplementary information in the form of a posterior probability density that maps the model's uncertainty bounds. The resistivity model, supported by uncertainty analysis, strengthens the information at Kilauea Volcano regarding the presence of a low-resistivity (conductive) zone at a depth of less than 3 km, which is associated with a shallow magma chamber (partial melt) or saline fluids.
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Ariani, E., & Srigutomo, W. (2016). 1D and 2D Occam’s inversion of magnetotelluric data applied in volcano-geothermal area in Central Java, Indonesia. Journal of Physics: Conference Series, 739, 012036. https:// doi.org/10.1088/1742-6596/739/1/012036
Bittar, G., Wu, S., Su, Y., Zeng, S., Sun, J., Wu, X., Huang, Y., & Chen, J. (2026). Invertible neural network for real-time inversion and uncertainty quantification of ultra-deep resistivity measurements. Computers & Geosciences, 207, 106067. https://doi.org/ 10.1016/j.cageo.2025.106067
Bodin, T., Sambridge, M., Tkalčić, H., Arroucau, P., Gallagher, K., & Rawlinson, N. (2012). Transdimensional inversion of receiver functions and surface wave dispersion. Journal of Geophysical Research: Solid Earth, 117(B2), B02301. https://doi.org/10.1029/2011JB008560
Cagniard, L. (1953). Basic theory of the magneto-telluric method of geophysical prospecting. Geophysics,18(3),605-635. https://doi.org/10.1190/1.1437915
Cui, Y., Zhang, L., Zhu, X., Liu, J., & Guo, Z. (2020). Inversion for magnetotelluric data using the particle swarm optimization and regularized least squares. Journal of Applied Geophysics, 181, 104156.https://doi.org/10.1016/j.jappgeo.2020.104156
Darisma, D., & Marwan. (2019). One-dimensional magnetotelluric inversion using Levenberg-Marquardt and particle swarm optimization algorithm. IOP Conference Series: Earth and Environmental Science, 364, 012035. https://doi.org/ 10.1088/1755-1315/364/1/012035
Ekaputri, D., Maulinadya, S., & Grandis, H. (2018). Simple equivalence analysis for magnetotelluric (MT) depth resolution in layered earth model. The 43rd Annual Scientific Meeting Himpunan Ahli Geofisika Indonesia. library.hagi.or.id/wp-content/ uploads/2025/01/PITHAGI2018-101.pdf
Grandis, H. (1999). An alternative algorithm for one-dimensional magnetotelluric response calculation. Computers & Geosciences, 25(2), 119-125. https://doi.org/ 10.1016/S0098-3004(98)00110-1
Hoversten, G. M., & Gasperikova, E. (2022). Kilauea Magnetotelluric Dataset. [Data set]. Geothermal Data Repository. Lawrence Berkeley National Laboratory. https://doi.org/10.15121/1872965
Hoversten, G. M., Gasperikova, E., Mackie, R., Myer, D., Kauahikaua, J., Newman, G. A., & Cuevas, N. (2022). Magnetotelluric investigations of the Kīlauea Volcano, Hawaii. Journal of Geophysical Research: Solid Earth, 127(8), e2022JB024418. https://doi.org/10.1029/2022JB024418
Ingham, M., & Brown, C. (1998). A magnetotelluric study of the Alpine Fault, New Zealand. Geophysical Journal International, 135(2), 542-552. https://doi.org/10.1046/j.1365-246X.1998.00659.x
Junian, W. E., Adilla, R., & Irawati, S. M. (2025). Implementasi algoritma grey wolf optimizer (GWO) untuk pemodelan inversi 1D data magnetotellurik. Jurnal Geosaintek, 11(2), 100–261. https://doi.org/ 10.12962/j25023659.v11i2.2590
Junian, W. E., Grandis, H. (2023). Hybrid Particle Swarm Optimization and Grey Wolf Optimizer Algorithm For Controlled Source Audio- Frequency Magnetotellurics (CSAMT) One- Dimensional Inversion Modelling. Rudarsko-geološko-naftni zbornik, 38 (3), 65-80. https://doi.org/ 10.17794/rgn.2023.3.6
Junian, W. E., Styawan, Y., Prasetyo, N., Paembonan, A. Y. (2026). Applying the One-to-One-Based Optimizer (OOBO) Algorithm for One-Dimensional Inversion Modeling of Magnetotellurics Data. Pure Appl. Geophys. https://doi.org/10.1007/ s00024-026-03998-x
Khatami, M., & Grandis, H. (2023). One-dimensional magnetotelluric (MT) data inversion modeling using convolutional neural network. IOP Conference Series: Earth and Environmental Science, 1227, 012023. https://doi.org/10.1088/1755-1315/ 1227/1/012023
Ladanivskyy, B., Pronenko, V., & Korepanov, V. (2021). Magnetotelluric method and instrumentation for geothermal prospecting. World Geothermal Congress 2020+1. Reykjavik, Iceland. https:// www.worldgeothermal.org/ pdf/IGAstandard/WGC/2020/13080.pdf
Levy, S., Laloy, E., & Linde, N. (2023). Variational Bayesian inference with complex geostatistical priors using inverse autoregressive flows. Computers & Geosciences, 171, 105263. https://doi.org/ 10.1016/j.cageo.2022.105263
Mekkawi, M. M., Abd-El-Nabi, S. H., Farag, K. S., & Elhamid, M. Y. (2022). Geothermal resources prospecting using magnetotelluric and magnetic methods at Al Ain AlSukhuna-Al Galala Albahariya area, Gulf of Suez, Egypt. Journal of African Earth Sciences, 190, 104522.https://doi.org/ 10.1016/j.jafrearsci.2022.104522
Ojo, A., Xie, J., & Olorunfemi, M. O. (2017). Nonlinear inversion of resistivity sounding data for 1-D earth models using the neighbourhood algorithm. Journal of African Earth Sciences, 137, 179-192. https://doi.org/10.1016/j.jafrearsci.2017.09.003
Pace, F., Santilano, A., & Godio, A. (2019). Particle swarm optimization of 2D magnetotelluric data. Geophysics, 84(3), E125–E141. https://doi.org/10.1190/geo2018-0166.1
Patro, P. K. (2017). Magnetotelluric studies for hydrocarbon and geothermal resources: Examples from the Asian region. Surveys in Geophysics, 38, 1005–1041. https://doi.org/10.1007/s10712-017-9439-x
Saibi, H., Hireche, A., Ahmad, A., Tsuji, T., & Ali, M. (2026). Comparison of deep learning models for 1D magnetotelluric inversion. Applied Computing and Geosciences, 29, 100320. https://doi.org/10.1016/j.acags.2026.100320
Sambridge, M. (1999a). Geophysical inversion with a neighbourhood algorithm—I. Searching a parameter space. Geophysical Journal International, 138(2), 479–494. https://doi.org/10.1046/j.1365246X.1999.00876.x
Sambridge, M. (1999b). Geophysical inversion with a neighbourhood algorithm—II. Appraising the ensemble. Geophysical Journal International, 138(3), 727–746. https://doi.org/10.1046/j.1365-246x.1999.00900.x
Simeng, P., Xingbing, X., & Lianqun, Z. (2025). Application of the magnetotelluric method in geothermal exploration in Jianshi county, Hubei province, China. Discover Geosciences, 3, 70. https://doi.org/ 10.1007/s44288-025-00181-y
Stoico, V., Dragomir, A. C., & Lago, P. (2025). An empirical study on the performance and energy usage of compiled Python code. Proceedings of the 29th International Conference on Evaluation and Assessment in Software Engineering (EASE 2025). Istanbul, Türkiye. https://doi.org/10.1145/3756681.3756972
Sun, X., Zhan, Y., Unsworth, M., Egbert, G., Zhang, H., Chen, X., Zhao, G., Sun, J., Zhao, L., Cui, T., Liu, Z., & Han, J. (2020). 3-D magnetotelluric imaging of the easternmost Kunlun Fault: Insights into strain partitioning and the seismotectonics of the Jiuzhaigou Ms7.0 earthquake. Journal of Geophysical Research: Solid Earth, 125(5), e2020JB019731. https://doi.org/ 10.1029/2020JB019731
Syaripudin, A., & Grandis, H. (2001). Inversi Data Magnetotellurik 1-D Mengunakan Metoda Simulated Annealing. Kontribusi Fisika Indonesia (KFI), 12(02).
Telford, W. M., Geldart, L. P., & Sheriff, R. E. (1990). Applied geophysics (2nd ed.). Cambridge University Press. https://doi.org/ 10.1017/CBO9781139167932
Unsworth, M. J., Jones, A. G., Wei, W., Marquis, G., Gokarn, S. G., Spratt, J. E., Bedrosian, P., Booker, J., Chen, L., Clarke, G., Li, S., Lin, C., Deng, M., Jin, S., Solon, K., Tan, H., Ledo, J., & Roberts, B. (2005). Crustal rheology of the Himalaya and Southern Tibet inferred from magnetotelluric data. Nature, 438, 78-81. https://doi.org/10.1038/nature04154
Wathelet, M. (2008). An improved neighborhood algorithm: Parameter conditions and dynamic scaling. Geophysical Research Letters, 35(9), L09301. https://doi.org/10.1029/2008GL033256
Wu, S., Sun, J., & Chen, J. (2025). Variational inference for geophysical Bayesian inverse problems using normalizing flows: An unsupervised approach to electromagnetic data inversion. Geophysical Journal International, 242(3), 1-14. https://doi.org/10.1093/gji/ggaf239
Yao, H. (2015). A method for inversion of layered shear wavespeed azimuthal anisotropy from Rayleigh wave dispersion using the Neighborhood Algorithm. Earthquake Science, 28, 59–69. https:// doi.org/10.1007/s11589-014-0108-6
Yoshizawa, K., & Kennett, B. L. (2002). Non-linear waveform inversion for surface waves with a neighbourhood algorithm—application to multimode dispersion measurements. Geophysical Journal International, 149(1), 118-133. https://doi.org/10.1046/j.1365-246X.2002.01634.x
DOI: http://dx.doi.org/10.20527/flux.v23i2.25876
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