Barbosa V C F, Silva J B C. Generalized compact gravity inversion. Geophysics, 1994, 59(1): 57-68.
[2]
Medeiros W E, Silva J B C. Geophysical inversion using approximate equality constraints. Geophysics, 1996, 61(6): 1678-1688.
[3]
陈石, 王谦身, 卢红艳等. 三维重力反演新方法——调和密度成像理论与模型测试. 地球物理学进展, 2010, 25(6): 1917-1925. Chen S, Wang Q S, Lu H Y, et al. A new method of gravity inversion——theory and model test of harmonic density imaging. Progress in Geophysics (in Chinese), 2010, 25(6): 1917-1925.
[4]
柯小平, 王勇, 许厚泽等. 青藏高原地壳三维密度结构的重力反演. 地球物理学进展, 2009, 24(2): 448-455. Ke S P, Wang Y, Xu H Z, et al. The three-dimensional crustal density structure of the Tibetan plateau from gravity inversion. Progress in Geophysics (in Chinese), 2009, 24(2): 448-455.
[5]
柯小平, 王勇, 许厚泽. 基于变密度模型的位场界面反演. 地球物理学进展, 2006, 21(3): 825-829. Ke S P, Wang Y, Xu H Z. Interface depths inversion of potential field data with variable density model. Progress in Geophysics (in Chinese), 2006, 21(3): 825-829.
[6]
Li Y G, Oldenburg D W. 3-D inversion of magnetic data. Geophysics, 1996, 61(2): 394-408.
[7]
Li Y G, Oldenburg D W. 3-D inversion of gravity data. Geophysics, 1998, 63(1): 109-119.
[8]
姚长利, 郑元满, 张聿文. 重磁异常三维物性反演随机子域法方法技术. 地球物理学报, 2007, 50(5): 1576-1583. Yao C L, Zheng Y M, Zhang Y W. 3D gravity and magnetic inversion for physical properties using stochastic subspaces. Chinese J. Geophys. (in Chinese), 2007, 50(5): 1576-1583.
[9]
姚长利, 郝天珧, 管志宁等. 重磁遗传算法三维反演中高速计算及有效存储方法技术. 地球物理学报, 2003, 46(2): 252-258. Yao C L, Hao T Y, Guan Z N, et al. High-speed computation and efficient storage in 3-D gravity and magnetic inversion based on genetic algorithms. Chinese J. Geophys. (in Chinese), 2003, 46(2): 252-258.
[10]
郭良辉, 孟小红, 石磊等. 重力和重力梯度数据三维相关成像. 地球物理学报, 2009, 52(4): 1092-1106. Guo L H, Meng X H, Shi L, et al. 3-D correlation imaging for gravity and gravity gradiometry data. Chinese J. Geophys. (in Chinese), 2009, 52(4): 1092-1106.
[11]
孟小红, 刘国峰, 陈召曦等. 基于剩余异常相关成像的重磁物性反演方法. 地球物理学报, 2012, 55(1): 304-309. Meng X H, Liu G F, Chen Z X, et al. 3-D gravity and magnetic inversion for physical properties based on residual anomaly correlation. Chinese J. Geophys. (in Chinese), 2012, 55(1): 304-309.
[12]
Commer M. Three-dimensional gravity modelling and focusing inversion using rectangular meshes. Geophysical Prospecting, 2011, 59(5): 966-979.
[13]
Blakely R J. Potential Theory in Gravity and Magnetic Applications. Cambridge: Cambridge University Press, 1995.
[14]
Last B J, Kubik K. Compact gravity inversion. Geophysics, 1983, 48(6): 713-721.
[15]
Guillen A, Menichetti V. Gravity and magnetic inversion with minimization of a specific functional. Geophysics, 1984, 49(8): 1354-1360.
[16]
Tikhonov A N, Arsenin V Y. Solution of Ill-Posed Problems. New York: V. H. Winston & Sons, 1977.
[17]
Tikhonov A N. Regularization of Ill-Posed Problems. Doklady Akad. Nauk, SSSR, 1963, 153: 49-52.
[18]
Zhdanov M S. Geophysical Inverse Theory and Regularization Problems. New York: Elsevier Science, 2002.
[19]
Lawson C J, Hanson R J. Solving Least Squares Problems. Englewood Cliffs: Prentice-Hall Inc, 1974.
[20]
Hmarik U, Palm R, Raus T. Extrapolation of Tikhonov and Lavrentiev regularization methods. Journal of Physics: Conference Series, 2008, 135(1): 1-8.
[21]
Hmarik U, Palm R, Raus T. Use of extrapolation in regularization methods. Journal of Inverse and Ill-Posed Problems, 2007, 15(3): 277-294.
[22]
Zhdanov M S. Integral Transforms in Geophysics. New York: Springer Verlag, 1988.
[23]
刘天佑, 管志宁. 对二维磁异常利用广义逆矩阵的选择法. 地球物理学报, 1986, 29(4): 390-398. Liu T Z, Guan Z N. Selective method of generalized inverse matrix for the interpretation of two-dimensional magnetic anomalies. Chinese J. Geophys. (in Chinese), 1986, 29(4): 390-398.
[24]
管志宁, 侯俊胜, 黄临平等. 重磁异常反演的拟BP神经网络方法及其应用. 地球物理学报, 1998, 41(2): 242-251. Guan Z N, Hou J S, Huang L P, et al. Inversion of gravity and magnetic anomalies using pseduo-BP neural network method and its application. Chinese J. Geophys. (in Chinese), 1998, 41(2): 242-251.
[25]
Kim H J, Song Y, Lee K H. Inequality constraint in least-squared inversion of geophysical data. Earth Planets Space, 1999, 51: 255-259.
[26]
Cardarelli E, Fischanger F. 2D data modelling by electrical resistivity tomography for complex subsurface geology. Geophysical Prospecting, 2006, 54(2): 121-133.
[27]
Commer M, Newman G A. New advances in three-dimensional controlled-source electromagnetic inversion. Geophysical Journal International, 2008, 172(2): 513-535.
