参考文献:1. Charbonnier P, Blanc-Feraud L, Aubert G, et al. Deterministic edge-preserving regularization in computed imaging. IEEE Transactions on Image Processing. 1997. 6(2): 298鈥?11 CrossRef 2. Ding S J and Jin X S. Solution properties of ill-posed problem in adjustment and resolution of regularization parameter. Science of Surveying and Mapping. 2006. 31(2): 22鈥?4 (in Chinese) 3. Geman D and Yang C. Nonlinear image recovery with half-quadratic regularization and FFT鈥檚. IEEE Transactions on Image Processing. 1995. 4(7): 932鈥?46 CrossRef 4. Geman S and McClure D E. Bayesian image analysis: An application to single photon emission tomography. Proceedings of the Statistical Computation Section, American Statistical Association. 1985. 12鈥?8 5. Guo X Z, Zhang X M and Xu L. Regularized strategy on the Gauss kernel. Journal of Hebei Normal University (Natural Science Edition). 2006. 30(2): 151鈥?53 (in Chinese) 6. Han B and Fu Y H. A regularization homotopy method for solving nonlinear ill-posed problems. Journal of Natural Science of Heilongjiang University. 2005. 22(5): 659鈥?63 (in Chinese) 7. Jin Q N and Hou Z Y. Optimal regularization parameter choice for iterated Tikhonov regularization. Applied Mathematics鈥擜 Journal of Chinese Universities. 1996. 11(3): 321鈥?28 (in Chinese) 8. Kunisch K and Zou J. Iterative choices of regularization parameters in linear inverse problems. Inverse Problems. 1998. 14(5): 1247鈥?264 CrossRef 9. Liu D and Zhao R C. The method of preserving edge smoothing. Journal of Northwestern Polytechnical University. 2000. 18(1): 102鈥?05 (in Chinese) 10. Shen J S, Sun W B, Zhao W J, et al. A 2.5D cross-hole electromagnetic modelling and inversion method and its application to survey data from the Gudao Oilfield, east China. Journal of Geophysics and Engineering. 2008. 5(4): 401鈥?11 CrossRef 11. Takenaka T, Jia H T and Tanaka T. Microwave imaging of electrical property distributions by a forward-backward time-stepping method. Journal of Electromagnetic Waves and Applications. 2000. 14(12):1609鈥?626 CrossRef 12. Takenaka T, Jia H T and Tanaka T. Microwave imaging of an anisotropic cylindrical object by a forward-backward time-stepping method. IEICE Transactions on Electronics. 2001. E84-C(12): 1910鈥?916 13. Wang P, Li G F, Zhang L Q, et al. Thin-layer reservoir prediction in the lower Es_1 of the western ramp of Qikou Depression. Journal of China University of Petroleum (Edition of Natural Science). 2008. 32(2): 28鈥?3 (in Chinese) 14. Wang S X, Li X Y, Qian Z P, et al. Physical modeling studies of 3-D P-wave seismic for fracture detection. Geophysical Journal International. 2007. 168(2): 745鈥?56 CrossRef 15. Wei C, Li X F and Zhang M G. The geophysical inverse method based on Quantum Monte Carlo. Chinese Journal of Geophysics. 2008. 51(5): 1494鈥?502 (in Chinese) 16. Yang P J, Yin X Y and Zhang X. Poststack seismic blind inversion and application. Oil Geophysical Prospecting. 2008. 43(3): 284鈥?90 (in Chinese) 17. Zhang H B, Shang Z P, Yang C C, et al. Estimation of regular parameters for the impedance inversion. Chinese Journal of Geophysics. 2005. 48(1): 181鈥?88 (in Chinese) 18. Zhang H B and Yang C C. A constrained impedance inversion method controlled by regularized parameters. Chinese Journal of Geophysics. 2003. 46(6): 827鈥?34 (in Chinese) 19. Zhou H, Sato M, Takenaka T, et al. Reconstruction from antenna-transformed radar data using a time-domain reconstruction method. IEEE Transactions on Geoscience and Remote Sensing. 2007. 45(3):689鈥?96 CrossRef 20. Zou X W, Wang B E, Kou T, et al. A new method of choosing regularization parameters based on genetic algorithm. Science and Technology Review. 2006. 24(2): 46鈥?9 (in Chinese)
作者单位:Hui Zhou (1) (2) Zhaolei Wang (3) Dongling Qiu (4) Guofa Li (1) (2) Jinsong Shen (1) (2)
1. State Key Laboratory of Petroleum Resource and Prospecting, China University of Petroleum, Beijing, 102249, China 2. Key Laboratory of CNPC Geophysical Prospecting, China University of Petroleum, Beijing, 102249, China 3. Research Institute, Bureau of Geophysical Prospecting, Shijiazhuang, Hebei, 072751, China 4. China University of Petroleum, Beijing, 102249, China
ISSN:1995-8226
文摘
In this paper we discuss the edge-preserving regularization method in the reconstruction of physical parameters from geophysical data such as seismic and ground-penetrating radar data. In the regularization method a potential function of model parameters and its corresponding functions are introduced. This method is stable and able to preserve boundaries, and protect resolution. The effect of regularization depends to a great extent on the suitable choice of regularization parameters. The influence of the edge-preserving parameters on the reconstruction results is investigated and the relationship between the regularization parameters and the error of data is described.