Abstract
Based on the analysis of the conjugate gradient algorithm, we implement a threedimensional (3D) conjugate gradient inversion algorithm with magnetotelluric impedance data. During the inversion process, the 3D conjugate gradient inversion algorithm doesn’ t need to compute and store the Jacobian matrix but directly updates the model from the computation of the Jacobian matrix. Requiring only one forward and four pseudo-forward modeling applications per frequency to produce the model update at each iteration, this algorithm efficiently reduces the computation of the inversion. From a trial inversion with synthetic magnetotelluric data, the validity and stability of the 3D conjugate gradient inversion algorithm is verified.
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This work is jointly sponsored by National Natural Science Foundation of China (Grant Nos. 40774029, 40674037, and 40374024), the National Hi-tech Research and Development Program of China (863 Program) (No. 2007AA09Z310) and the Program for New Century Excellent Talents in University (NCET).
Lin Changhong graduated from the School of Geophysics and Information Technology of China University of Geosciences (Beijing) with a Bachelor degree in 2001. Currently he is studying for his PhD at China University of Geosciences (Beijing).
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Lin, C., Tan, H. & Tong, T. Three-dimensional conjugate gradient inversion of magnetotelluric sounding data. Appl. Geophys. 5, 314–321 (2008). https://doi.org/10.1007/s11770-008-0043-1
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DOI: https://doi.org/10.1007/s11770-008-0043-1