Mining, Minerals Processing and Metallurgical Engineering

Three-dimensional inversion of metallic minerals electromagnetic data using efficient multigrid solver

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  • a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;

    b State Key Laboratory of Critical Mineral Research and Exploration, Central South University, Changsha 410083, China;

    c School of Geosciences and Info-Physics, Central South University, Changsha 410083, China;

    d Hunan Key Laboratory of Non-ferrous Resources and Geological Hazard Detection, Changsha 410083, China;

    e Key Laboratory of Metallogenic Prediction of Nonferrous Metals and Geological Environment Monitoring, Ministry of Education, Central South University, Changsha 410083, China;

    f Doerr School of Sustainability, Department of Earth and Planetary Sciences, Stanford University, Stanford, California 94305, USA

Online published: 2026-04-22

Abstract

A three-dimensional (3D) electromagnetic (EM) inversion algorithm based on the nonlinear conjugate gradient (NLCG) method and a two-color plane Gauss−Seidel (GS) multigrid (MG) forward solver is developed to improve inversion efficiency. The results indicate that the computational efficiency of each inversion can be improved by approximately a factor of three by using the proposed MG solver. First, the accuracy of the MG solver is validated through a test on a synthetic model. Next, the numerical performance of the inversion algorithm is evaluated using this model. Finally, the inversion algorithm is applied to a field EM data collected at the Beiya gold polymetallic ore district. A 3D resistivity model is obtained, and the formation process of the metal ore is analyzed.

Cite this article

Yong-fei WANG, Rong-wen GUO, Zhuo LIU, Ding-hui YANG, Deng-kang WANG . Three-dimensional inversion of metallic minerals electromagnetic data using efficient multigrid solver[J]. Transactions of Nonferrous Metals Society of China, 2026 , 36(3) : 943 -955 . DOI: 10.1016/S1003-6326(25)67008-7

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