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Yazdanpanah, Amir, Abedi, Maysam. (1404). Comparative Analysis of Second-Order Unconstrainted Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation. , 57(2), 112-128. doi: 10.22059/jac.2025.404126.1243
Amir Yazdanpanah; Maysam Abedi. "Comparative Analysis of Second-Order Unconstrainted Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation". , 57, 2, 1404, 112-128. doi: 10.22059/jac.2025.404126.1243
Yazdanpanah, Amir, Abedi, Maysam. (1404). 'Comparative Analysis of Second-Order Unconstrainted Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation', , 57(2), pp. 112-128. doi: 10.22059/jac.2025.404126.1243
Yazdanpanah, Amir, Abedi, Maysam. Comparative Analysis of Second-Order Unconstrainted Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation. , 1404; 57(2): 112-128. doi: 10.22059/jac.2025.404126.1243

Comparative Analysis of Second-Order Unconstrainted Iterative Solvers for Non-Linear Inversion of Finite-Element Based DC Resistivity Simulation

Journal of Algorithms and Computation
دوره 57، شماره 2، اسفند 2025، صفحه 112-128    اصل مقاله (1.47 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jac.2025.404126.1243
نویسندگان
Amir Yazdanpanah1؛ Maysam Abedi* 2
1Petroleum Engineering and Geophysics Laboratory, School of Mining Engineering, College of Engineering, University of Tehran, Iran
2Petroleum Engineering and Geophysics Laboratory, School of Mining Engineering, College of Engineering University of Tehran, Iran
چکیده
Direct Current (DC) Electrical Resistivity Tomography (ERT) inversion is a non-linear, ill-posed problem requiring robust solvers for accurate subsurface resistivity reconstruction. This study systematically compares four second-order unconstrained iterative solvers which are Simple Newton, Newton-CG, Trust-Exact, and Trust-NCG, using synthetic dipole-dipole data with conductive and resistive anomalies in a homogeneous background. Inversion is performed within a finite-element framework with unstructured triangular meshes. Solver performance is assessed through reconstruction accuracy and computational efficiency using error metrics and data misfit. Results show Simple Newton fails due to instability and fixed step sizes. Newton-CG, Trust-Exact, and Trust-NCG converge reliably, with Trust-Exact and Trust-NCG markedly superior in resolving sharp resistivity contrasts, especially the conductive anomaly, owing to adaptive trust-region globalization. Newton-CG and Trust-NCG exhibit minor smoothing, reflecting a trade-off between speed and precision. These findings highlight the superiority of trust-region methods in weakly regularized non-linear geophysical inversion, emphasizing their ability to preserve sharp contrasts.
کلیدواژه‌ها
Direct Current؛ Electrical Resistivity Tomography (ERT)؛ Non-Linear Inversion؛ Unconstrainted Iterative Solvers؛ Finite-Element
آمار
تعداد مشاهده مقاله: 66
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