[S-GD02] Geodesy

[SGD02-P01] Projected Barzilai-Borwein method for the acceleration of gravity field data inversion

*wei li^1,2,3,4, zhao hai meng^5,6, hao wen yan^1,2,3 (1.Faculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, China, 2.National-Local Joint Engineering Research Center of Technologies and Applications for National Geographic State Monitoring, Lanzhou 730070, China, 3.Gansu Provincial Engineering Laboratory for National Geographic State Monitoring, Lanzhou 730070, China, 4.School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China, 5.Tianjin Navigation Instrument Research Institute, Tianjin 300131,China, 6.Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100083, China)

Keywords:gravity data, inversion algorithm, exploration methodologies, geophysical application

The recovery of 3D volume of density from gravity field data is a key point for geophysical and geological interpretations. Inversion of gravity field data involves solving an underdetermined problem. Therefore, large-scale data inversion is costly in time and memory consumption. The calculation efficiency is a primary concern for gravity field data inversion. Multiple methods are considered and applied to increase the inversion efficiency. The solution for an inversion problem was formulated by incorporating constraints to obtain stable inversion results, and a new projected Barzilai-Borwein iterative algorithm was applied to accelerate convergence of the inversion method. To test the potential application of the projected Barzilai-Borwein iterative method, synthetic gravity data simulations and real data applications were performed. Numerical performances and practical application indicate that the fast convergence of projected Barzilai-Borwein iterative method increases calculated efficiency of geophysical applications.