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《Chinese Journal of Geophysics》 1988-01
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INVERSE PROBLEMS AND ILL-POSED PROBLEMS IN GEOPHYSICS

LUAN WEN-GUI(Computing Center, Academia Sinica, Beijing)  
This paper distusses some inverse problems and ill-posed problems in geophysics. The contents are as follows: the continuations of fields and the ill-posed Cauchy problems in partial differential equations (including the new formulations for the inverse problem of fields and the principle of field continuations, the mathematical statements of field continuations, the theoretical expressions of field continuations); the stability behaviours of ill-posed problems (including the ill-posed problem and the new ideal of well posed problem, the stability behaviours of solution of ill-posed problems, the estimates of continuous dependence of solution of field continuation problems); the regularization algorithms of linear ill-posed problems (including the general statements of ill-posed problems, the classical regularization methods, the adaptive regularization methods).
【Fund】: 国家自然科学基金;; 地震学联合科学基金
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【References】
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1 Guo Qingzhong.;Inversion of Radial Conductivity Distribution by Array Induction Logs.[J];Well Logging Technology;2003-03
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 LUAN WEN-GUI (Computing Center, Academia Sinica);ON THE CONTINUOUS DEPENDENCE OF THE SOLUTIONS FOR SEVERAL IMPROPERLY POSED PROBLEMS IN GEOPHYSICS[J];Chinese Journal of Geophysics;1982-04
2 LUAN WEN-GUI(Computing Center, Academia Sinica);THE STABILIZED ALGORITHM OF THE ANALYTIC CONTINUATION FOR THE POTENTIAL FIELD[J];Chinese Journal of Geophysics;1983-03
3 LUAN WEN-GUIComputing Center, Academia Sinica, Beijing;SOME NEW APPROACHS FOR INVERSION PROBLEMS OF EARTH STRUCTURE[J];Chinese Journal of Geophysics;1986-04
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LI Shu-lin(Architectural and Civil Engineering School of Xiamen University,Xiamen 361005,China);Discussion on Microseismic Monitoring Technology and Its Applications to Underground Projects[J];Chinese Journal of Underground Space and Engineering;2009-01
2 Xu Shcngyan Zhang ZhongjieHe Qiaodeng Xu Zhongxin;THE SYNTHESIS OF GAUSSIAN BEAN THEORETIC SEISMIC RECORDING IN 2-D VISCOELASTIC MEDIUM[J];;1988-04
3 Zou Xinmin;THE ACQUIREMENT AND ANALYSIS OF MEGNETIC ANOMALIES OF CHINA[J];;1989-04
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5 Xiong Jie Yang Yuanxi(Zhengzhou Institute of Surveying and Mapping);ON THE TRANSFORMATION AND DEFORMATION OFTHREE-DIMENSIONAL GEODETIC NETWORK[J];Acta Geodaetica Et Cartographic Sinica;1988-01
6 Lu Zhiping (Zhengzhou Institute of Surveying and Mapping,450052);ADDING CRUSTAL MOVEMENT PARAMETERS IN THE COMBINED ADJUSTMENT OF SPATIAL GEODETIC NETWORKS[J];ACTA GEODAETICA ET CARTOGRAPHICA SINICA;1996-02
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8 Guo Lücan Wu Jiangping Guo Qin Wu Xiongbin (Institute of Geophysics,State Seismological Bureau,Beijing 100081,China);Inversion of Spatial Distribution of Surface-wave's Q-Value in Earth-crust by Using CT Technology and its Prospect[J];Computerized Tomography Teory and Applications;1992-04
9 Zhang Zhaotian Qiu Peizhang (Beijing Inflrmation Technology Institute,100101,P.R.China);The Relation Between the Inversion of Wave Eauation and the Inversion of Generalized Radon Transform[J];Computerized Tomography Teory and Applications;1993-02
10 Gu Haoding ( The Seismological Bureau of Liaoning Province ) Chen Yuntai ( Institute of Geophysics, State Seismological Bureau );SIGNIFICANCE OF ROTATION IN SEISMOLOGY[J];Seismological Research of Northeast China;1988-02
【Co-references】
Chinese Journal Full-text Database 7 Hits
1 ,Gao,X.Z. ,;Discussion on Array induction Imaging Log Response[J];WELL LOGGING TECHNOLOGY;1996-04
2 Li Ping 1,2) , Hsu Houtze 1) , Lu Zaoxun 2) and Xiong Xiong 1) 1) Institute of Geodesy and Geophysics, CAS, Wuhan 430077 2) Seismological Bureau of Liaoning Province, Shenyang 110031;LSQRD METHOD AND RESOLUTION ANALYSIS FOR SOLUTIONS[J];CRUSTAL DEFORMATION AND EARTHQUAKE;1999-03
3 LIU JIA-QI KUANG ZHENG(Harbin Institute of Technology)TANG YONG-FU Fu YOU-SHENG(Daqing Well Logging Corporation);AN ITERATIVE ALGORITHM FOR SOLVING THE RESISTIVITIES OF THE EARTH AND THE DIAMETER OF THE INVADED ZONE SIMUTANEOUSLY[J];Chinese Journal of Geophysics;1989-04
4 KUANG ZHENG YANG WEI LIU JIA-QI(Harbin Institute of Technology, Harbin 150006);AN ITERATION-SEARCH ALGORITHM FOR SOLVING THE FORMATION RESISTIVITIES AND THE DIAMETER OF INVADED ZONE[J];Chinese Journal of Geophysics;1992-05
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6 TANG LONG-JI;LI WEN;DENG YANG-SHENG(Department of Mathematics, Penn State University, Pa 16802, USA);SOMEASPECTSFORSOLVINGILL-POSED EQUATION IN GEOPHYSICS[J];Chinese Journal of Geophysics;1995-01
7 NIU YAN-LIANG;YANG WEN-CAI;WU YONG-GANG(Research Institute of Exploration and Development,Daqing Petroleum Administrative Bureau,Daqing 163712)(Institute of Geophysical and Geochemical Exploration,Ministry of Geology and Mineral Resources,Langjang 102849);SUCCESSIVE LINEARIZATION METHOD IN CROSS-HOLE TOMOGRAPHY[J];Chinese Journal of Geophysics;1995-03
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 LIU Dan,SUN Jin-wei,LIU Xin(Dept.of Automatic Measurement and Control,Harbin Institute of Technology,Harbin 150001,China);Robust Estimation for Signal Reconstruction of Nonlinear Multifunctional Sensor[J];Chinese Journal of Sensors and Actuators;2008-10
2 GUI Qing ining , , GUO Jian feng Institute of Geodesy and Geophysics, Chinese Academy of Sciences,Wuhan 430077,China;Institute of Surveying and Mapping,Information Engineering University, Zhengzhou 450052,China);Ridge Type-generalized Inverse Estimator of Parameters in Gauss-Markov Model and Its Optimality[J];Developments In Surveying and Mapping;2001-03
3 GUI Qing-ming ①② , GUO Jian feng ② ,BIAN Shao feng ②(①Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077,China;②Institute of Surveying and Mapping, Information Engineering University,Zhengzhou 450052,China);Ill-conditioning Diagnostics Based on Eigensystem[J];Developments In Surveying and Mapping;2002-02
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5 LIU Zhen-hua,WU Jie,ZHANG Jian-hua(Xi'an Shiyou University,Xi'an 710065,China);Sequent inversion for the logging data of array induction tool(AIT)[J];Progress in Geophysics;2006-04
6 WANG Zhao-lei,ZHOU Hui(College of Marine Geoscience,Ocean University of China,Qingdao 266003,China);Using different kinds of norms to suppress the effect of noise in the course of inversion[J];Progress in Geophysics;2007-03
7 SHEN CHONG YANG WANG QI WU YUN YOU XIN ZHAO GAN JIA SI YANG SHAO MIN(Institute of seismology, CSB, Wuhan 430071, China);GPS INVERSION OF KINEMATIC MODEL OF THE MAIN BOUNDARIES OF THE RHOMBUS BLOCK IN SICHUAN AND YUNNAN[J];Chinese Journal of Geophysics;2002-03
8 XU Tian-He, YANG Yuan-Xi Xi' an Research Institute of Surveying and Mapping, Xi' an 710054, China;CHAMP gravity field recovery using kinematic orbits[J];Chinese Journal of Geophysics;2005-02
9 Shen Chongyang Li Hui Fu Guangyu (Institute of Seismology , China Seismological Bureau, Wuhan 430071, China);STUDY ON A GRAVITY PRECURSOR MODE OF LUIANG EARTHQUAKE WITH Ms = 7. 0[J];Acta Seismologica Sinica;2003-02
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【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 LUAN WEN-GUI (Computing Center, Academia Sinica);ON THE CONTINUOUS DEPENDENCE OF THE SOLUTIONS FOR SEVERAL IMPROPERLY POSED PROBLEMS IN GEOPHYSICS[J];Chinese Journal of Geophysics;1982-04
2 LUAN WEN-GUI(Computing Center, Academia Sinica);THE STABILIZED ALGORITHM OF THE ANALYTIC CONTINUATION FOR THE POTENTIAL FIELD[J];Chinese Journal of Geophysics;1983-03
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