Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Chinese Journal of Geophysics》 1995-01
Add to Favorite Get Latest Update

SOMEASPECTSFORSOLVINGILL-POSED EQUATION IN GEOPHYSICS

TANG LONG-JI;LI WEN;DENG YANG-SHENG(Department of Mathematics, Penn State University, Pa 16802, USA)  
In this paper,we study some problems and numerical methods for solving ill-posed equations which happen in geophysies.We mainly discuss three important numerical methodS:(1)Tikhonov regularization and adaptive regulariztion methods,(2) pre conditioner method;(3)numerical relative technique.Frist we give a survey of new development of these methods.Secondly,unlike much of the current emphasis on choice of regularization parameter in research on regularization method,we present several methods for properly choosing regularizer and establish a new framework of adaptive regularization algorithm.Thirdly,according to the characteristics of ill-posed equtions in geophysics, we extend the concept of preconditioner and give several methods of choosing preconditioner.Moreover we also discuss the application of these methods in geophysics.
【Fund】: 地震联合科学基金
【CateGory Index】: P3
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 9 Hits
1 Xiao Yingying;Shen Jin;Wang Yajing;Liu Wei;Sun Xianming;School of Electrical and Electronic Engineering,Shandong University of Technology;;Influence of initial model on regularized inversion of noisy dynamic light scattering data[J];强激光与粒子束;2014-12
2 NIE Zhi-xi;WANG Zhen-jie;School of Geosciences,China University of Petroleum;;The regularization method of the ground gravity downward continuation[J];地球物理学进展;2013-06
3 Lin Jun;Hui Fang;Sun Shuqin;Jiang Chuandong;Lin Tingting;Lab. of Geo-Exploration and Instrumentation Ministry of Education/College of Instrumentation and Electrical Engineering,Jilin University;;MRS Signal T_2 Inversion by Multi-Exponential Decomposition with Inequality Constraint[J];吉林大学学报(地球科学版);2013-06
4 LIN Ting-Ting,HUI Fang,JIANG Chuan-Dong,LIN Jun* Key Laboratory of Geo-Exploration Instrumentation,Ministry of Education,Jilin University,Changchun 130021,China;Layered multi-exponential inversion method on surface magnetic resonance sounding dataset[J];地球物理学报;2013-08
5 WANG Leyang1,2 XU Caijun1(1 School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China)(2 Faculty of Geomatics,East China Institute of Technology,56 Xuefu Road,Fuzhou 344000,China);Ridge Estimation Method in Inversion Problem with Ill-posed Constraint[J];武汉大学学报(信息科学版);2011-05
6 WANG Leyang,XU Caijun,WANG Jianjun School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;Research on Equality Constraint Inversion with Ill-posed Constraint Matrix[J];测绘学报;2009-05
7 Hu Yaxuan,Hao Ming,Wang Xiong,Wang Qingliang and Cui Duxin (Second Crust Monitoring and Application Center,CEA,Xi'an 710054);APPLICATION OF L-CURVE TO THE INVERSION OF PRESSURE SOURCE PARAMETERS IN VOLCANO AREA[J];大地测量与地球动力学;2009-02
8 GAN Fu-ping~(1,2),LI Jin-ming~1,LI Hua-qing~2,LU Cheng-jie~2,WEI Ji-yi~2(1.School of Geophysics and Information Technology,China University of Geosciences,Beijing 100083,China;2.Institute of Karst Geology,Guilin 541004,China);THE APPLICATION OF THE CROSS-HOLE ELECTROMAGNATIC WAVE-PENETRATING METHOD TO DETECTING KARST[J];物探与化探;2006-04
9 GU Yongwei 1 GUI Qingming 1 BIAN Shaofeng 2 GUO Jianfeng 1,3(1 Department of Mathematics and Physics, Information Engineering University, 160 Mail-box 2201, Zhengzhou 450001, China)(2 Institute of Navigation, Naval University of Engineering, 339 Jiefang Avenue, Wuhan 430033, China)(3 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077,China);Comparison Between Tikhonov Regularization and Truncated SVD in Geophysics[J];武汉大学学报(信息科学版);2005-03
【Citations】
Chinese Journal Full-text Database 4 Hits
1 Tang Longji Li Wen (Hunan Computing Center, Changsha, China);Numerical Solution for Ramm Integral Equation[J];应用数学;1992-03
2 YANG WEN-CAI(Beijing Computer Center, Ministry of Geology and Mineral Resources);A GENERALIZED INVERSION TECHNIQUE FOR POTENTIAL FIELD DATA PROCESSING[J];地球物理学报;1986-03
3 Zhu Ci-you(Nanjing University);THE PRE-CONDITIONING METHOD FOR SOLVING ILL-POSED LINEAR EQUATIONS ——AN APPLICATION OF THE THEORY OF NUMERICAL DEPENDENCE[J];高等学校计算数学学报;1981-02
4 He Xu - chu( Nanjing University );THEORY OF NUMERiCAL LiNEAR DEPENDENCE AND iTS APPLiCATiONS[J];高等学校计算数学学报;1979-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 YANG Wencai;HOU Zunze;XU Yixian;YAN Ping;College of Geosciences,Zhejiang University;Guizhou Henhao Sci-Tec company;;A Study on Thermal Deformation and Lower Crust Channel Flows in Qinghai—Xizang(Tibet) Plateau[J];地质论评;2017-05
2 LIN Dongfang;ZHU Jianjun;School of Geosciences and Info-Physics,Central South University;;Improved Ridge Estimation with Singular Value Correction Constraints[J];武汉大学学报(信息科学版);2017-12
3 YANG Wencai;Lab of Continental Tectonics and Dynamics,Institute of Geology,Chinese Academy of Geological Sciences;;Raise the Curtain on Formation and Evolution of Nanling Mountains[J];地质论评;2016-02
4 DENG Gong;LIANG Feng;LI Xiao-Ting;ZHAO Jun-Meng;LIU Hong-Bing;WANG Xun;Key Laboratory of Continental Collision and Plateau Uplift,Institute of Tibetan Plateau Research, Chinese Academy of Sciences;MLR Key Laboratory of Metallogeny and Mineral Assessment,Institute of Mineral Resources, Chinese Academy of Geological Sciences;State Key Laboratory of Coal Resources and Safe Mining,China University of Mining and Technology (Beijing);CAS Center for Excellence in Tibet Plateau Earth Sciences;;S-transform spectrum decomposition technique in the application of the extraction of weak seismic signals[J];地球物理学报;2015-12
5 YANG Wen-Cai;HOU Zun-Ze;YU Chang-Qing;State Key Lab of Continental Tectonics and Dynamics,Institute of Geology,CAGS;;3Dcrustal density structure of West Yunnan and its tectonic implications[J];地球物理学报;2015-11
6 YANG Wen-Cai;HOU Zun-Ze;YU Chang-Qing;State Key Lab of Continental Tectonics and Dynamics,Institute of Geology,CAGS;;Three-dimensional density structure of the Tibetan plateau and crustal mass movement[J];地球物理学报;2015-11
7 GUO Zhi-kui;ZHANG Qing-shan;CHEN Chao;DAI Ji-shu;CHEN Hai-di;SUN Kai;WANG Qiu-ge;Hubei Subsurface Multi-scale Imaging Key Laboratory,Institute of Geophysics and Geomatics,China University of Geosciences;Geophysical Exploration Academy of China Metallurgical Geology Bureau;;Extracting Weak Magnetic Signals at Depth from Aeromagnetic Anomaly Data[J];地质与勘探;2015-06
8 SONG Chao;GUO Zhi-qi;LU Qi;FENG Xuan;JIANG Yu-hang;LIU Cai;College of Georexploration Science and Technology,Jilin University;;Fluid type identification of sandstone based on support vector machine[J];地球物理学进展;2015-02
9 SUN Yanyun;YANG Wencai;HOU Zunze;YU Changqing;College of Earth Sciences,Chengdu University of Technology;School of Geophysics and Information Technology,China University of Geosciences;State Key Lab of Continental Tectonics and Dynamics,Institute of Geology,Chinese Academy of Geological Sciences;;Deformation Scratches and Crustal Structures in Qinghai—Xizang(Tibet) Plateau[J];地质论评;2015-02
10 YANG Wen-Cai;SUN Yan-Yun;HOU Zun-Ze;YU Chang-Qing;State Key Lab of Continental Tectonics and Dynamics,Institute of Geology,Chinese Academy of Geological Sciences;School of Geophysics and Information Technology,China University of Geosciences;;An multi-scale scratch analysis method for quantitative interpretation of regional gravity fields[J];地球物理学报;2015-02
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Hu Guangchun,Zhang Weiguang(Institute of Nuclear Physics and Chemistry,CAEP,P.O.Box 919-214,Mianyang 621900,China);Inversion of depth profile of tritium in tritium-titanium target[J];强激光与粒子束;2013-01
2 JIANG Tao1,2,LI Jiancheng1,2,WANG Zhengtao1,2,ZHANG Shoujian1,2 1.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;2.Key Laboratory of Geospace Environment and Geodesy,Ministry of Education,Wuhan University,Wuhan 430079,China;Solution of Ill-posed Problem in Downward Continuation of Airborne Gravity[J];测绘学报;2011-06
3 ZENG Qi, SHI Xue-ming, WU Yong-sheng, WANG Jia-ying (Institute of Geophysics and Geomatics,China University of Geosciences.Wuhan 430074,China);A study of one-dimensional magnetotelluric sounding inversion using the trust region algorithm[J];地球物理学进展;2011-03
4 Wang Yajing1,2,Shen Jin1,Zheng Gang2,Sun Xianming1,Liu Wei1(1.College of Electrical and Electronic Engineering,Shandong University of Technology,Zibo 255091,China;2.College of Optics and Electronic Information Engineering,Shanghai University ofScience and Technology,Shanghai 200093,China);Self-adaptive adjustment of inverse range of dynamic light scattering particle sizing based on multi-scale transform[J];强激光与粒子束;2010-12
5 DENG Kailiang1 BAO Jingyang1 HUANG Motao2 OUYANG Yongzhong2,3(1 Department of Hydrography and Cartography,Dalian Naval Academy,667 Jiefang Road,Dalian 116018,China)(2 Tianjin Institute of Hydrographic Surveying and Charting,40 Youyi Road,Tianjin 300061,China)(3 School of Geodesy and Geomatics,Wuhan University,129 Luoyu Road,Wuhan 430079,China);Simulation of Tikhonov Regulation Algorithm in Downward Continuation of Airborne Gravity Data[J];武汉大学学报(信息科学版);2010-12
6 GU Yongwei1,2,GUI Qingming2 1.Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China;2.Institute of Science,Information Engineering University,Zhengzhou 450001,China;Study of Regularization Based on Signal-to-noise Index in Airborne Gravity Downward to the Earth Surface[J];测绘学报;2010-05
7 Wang Zhongxing,Rong Liangliang,Lin Jun,Shang Xinlei,Duan Qingming,Jiang Chuandong(College of Instrumentation and Electrical Engineering,Jilin University,Changchun,130026,China);FID Signal Detection Based on DLIA Sampled by Quadruple Lamor Frequency[J];数据采集与处理;2010-05
8 WANG Leyang,XU Caijun,WANG Jianjun School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;Research on Equality Constraint Inversion with Ill-posed Constraint Matrix[J];测绘学报;2009-05
9 DAI Miao~(1,2),HU Xiang-Yun~(1 *),WU Hai-Bo~2, JIANG Long-Cong~1 , YANG Di-Kun~11 Institute of Geophysics and Geomatics , China University of Geosciences , Wuhan 430074, China2 Institute of Seismology , China Earthquake Administration , Wuhan 430071, China;Inversion of surface nuclear magnetic resonance[J];地球物理学报;2009-10
10 Wang Leyang and Xu Caijun(School of Geodesy and Geomatics,Wuhan University,Wuhan430079);COMPARATIVE RESEARCH ON EQUALITY CONSTRAINT INVERSION AND JOINT INVERSION[J];大地测量与地球动力学;2009-01
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 XIU Wen-zheng;SHEN Jin;XU Min;ZHU Xin-jun;GAO Ming-liang;LIU Wei;WANG Ya-jing;School of Electrical and Electronic Engineering,Shandong University of Technology;School of Electrical Engineering and Automation,Tianjin Polytechnic University;;Multi-penalty Regularization Inversion in Dynamic Light Scattering[J];光子学报;2018-01
2 LI Hao;Methane & Fire Branch,Chongqing Research Institute of China Coal Technology & Engineering Group Corp.;;The application of radio wave tunnel penetration method to evaluating fracturing effect in underground coal mine[J];物探与化探;2017-04
3 YU Dongdong;WANG Leyang;School of Geomatics,East China Institute of Technology;Department of Civil Engineering,Jiangxi College of Construction;Key Laboratory of Watershed Ecology and Geographical Environment Monitoring,NASG;Jiangxi Province Key Lab for Digital Land;;The ill-posed total least squares algorithm in volcano inversion of Mogi model[J];测绘工程;2017-07
4 LIU Ke-xin;LI Kuang;WANG Zi-wei;LIANG Li-li;XU Hai-qing;Beijing IWHR Technology Co.Ltd;;Runoff Error Correction Method Based on Dynamic System Response with Regularization[J];中国农村水利水电;2017-07
5 KONG Qing-jie;ZHANG Yan-fei;LIU Shao-hua;KONG Yue-fan;ZHANG Zheng-feng;School of Computer Science and Information Technology,Northeast Normal University;Xinjiang Agricultural University Library;Institute of Geology and Geophysics,Chinese Academy of Sciences;Library of Dalian University of Foreign Languages;;Research on the visualization of the hotspot——based on the bibliometric analysis of 《Chinese Journal of Geophysics 》from 2011 to 2016[J];地球物理学进展;2016-06
6 Lin Jun;Zhang Yang;Key Laboratory for Geophysical Exploration Equipment of Ministry of Education;College of Instrumentation & Electrical Engineering,Jilin University;;Research status and expectation of surface nuclear magnetic resonance technique for groundwater detection[J];仪器仪表学报;2016-12
7 FAN Gui-ling;ZHANG Yu-cheng;Xijing University;;Spectrometric dark field in light scattering data mining system optimization design[J];激光杂志;2016-09
8 PAN Ke-Jia;TANG Jing-Tian;DU Hua-Kun;CAI Zhi-Jie;School of Mathematics and Statistics,Central South University;State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation(Chengdu University of Technology);Key Laboratory of Metallogenic Prediction of Nonferrous Metals,Ministry of Education/School of Geosciences and Info-Physics, Central South University;School of Mathematical Sciences,Fudan University;;Trust region inversion algorithm of high-resolution array lateral logging in axisymmetric formation[J];地球物理学报;2016-08
9 YANG Yang;LIU Yang;JI Yan-ju;LI Dong-sheng;College of Instrumentation and Electrical Engineering;Laboratory of Geo-Exploration Instrumentation,Ministry of Education,JiL in University;;Obtaining the transmitter current waveform based on deconvolution[J];地球物理学进展;2016-01
10 LIU Linan;YIN Xinghui;ZHAO Xiaomeng;The Fourth Department,Bengbu Naval Petty Officer Academy;College of Computer and Information,Hohai University;College of Mathematics,Physics and Information Engineering,Anhui Science and Technology University;;Simple iterative inversion algorithm based on precise integration method[J];河海大学学报(自然科学版);2015-06
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 He Xu - chu( Nanjing University );THEORY OF NUMERiCAL LiNEAR DEPENDENCE AND iTS APPLiCATiONS[J];高等学校计算数学学报;1979-01
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved