Projected Barzilai-Borwein method for the acceleration of gravity field data inversion

Abstract

The recovery of 3D volume of density from gravity field data is a key feature of geophysical and geological interpretations. Gravity field data inversion involves solving an underdetermined problem; therefore, large-scale data inversion is costly in time and memory consumption. Calculation efficiency is a primary concern for gravity field data inversion; therefore, 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 carried out. Numerical performances and practical application indicate the fast convergence of projected Barzilai-Borwein iterative method and the increase in the calculated efficiency.

KEYWORDS:

• Gravity
• inversion
• exploration methodologies

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The research was supported by the Young Scholars Science Foundation of Lanzhou Jiaotong University (Grant No: 2019003); Key Technologies Research and Development Program (Grant No: 2017YFC0601601); China Postdoctoral Science Foundation (Grant No: 2019M660091XB); The 2020 Innovation Capacity Improvement Project for Colleges and Universities in Gansu Province (Grant No: 2020A-37); Open fund of Key Laboratory of oil and gas resources research, Chinese Academy of Sciences (Grant No: KLOR2018-8).