BTTB-MRNSD method for downward continuation of gravity field based on nonnegative constraints
As an important technology for processing and interpreting gravity data,downward continuation has attracted the at-tention of researchers because of its ill-posedness.The space domain continuation method generally has high continuation accu-racy,but the computational complexity is usually large.In this paper,firstly,according to the characteristics of gravity anom-aly data and the idea of image restoration,an equivalent mathematical model of gravity downward continuation is proposed.Then,based on the block-Toeplitz Toeplitz-block(BTTB)structure of the coefficient matrix,we propose a space-wavenumber mixed domain downward continuation iterative method with nonnegative constraints.The method overcomes the disadvantage of large computational complexity in space domain continuation and has high computational efficiency.The comparison experi-ments of theoretical gravity model and real anomaly data show that the gravity field downward continuation method proposed in this paper has high downward continuation accuracy and stability,and has good convergence.