CSpace  > 系统科学研究所
On the adequacy of identified Cole-Cole models
Xiang, HP; Cheng, DZ; Schlindwein, FS; Jones, NB
2003-06-01
Source PublicationCOMPUTERS & GEOSCIENCES
ISSN0098-3004
Volume29Issue:5Pages:647-654
AbstractThe Cole-Cole model has been widely used to interpret electrical geophysical data. Normally an iterative computer program is used to invert the frequency domain complex impedance data and simple error estimation is obtained from the squared difference of the measured (field) and calculated values over the full frequency range. Recently a new direct inversion algorithm was proposed for the 'optimal' estimation of the Cole-Cole parameters, which differs from existing inversion algorithms in that the estimated parameters are direct solutions of a set of equations without the need for an initial guess for initialisation. This paper first briefly investigates the advantages and disadvantages of the new algorithm compared to the standard Levenberg-Marquardt "ridge regression" algorithm. Then, and more importantly, we address the adequacy of the models resulting from both the "ridge regression" and the new algorithm, using two different statistical tests and we give objective statistical criteria for acceptance or rejection of the estimated models. The first is the standard X(2) technique. The second is a parameter-accuracy based test that uses a joint multi-normal distribution. Numerical results that illustrate the performance of both testing methods are given. The main goals of this paper are (i) to provide the source code for the new "direct inversion" algorithm in Matlab and (ii) to introduce and demonstrate two methods to determine the reliability of a set of data before data processing, i.e., to consider the adequacy of the resulting Cole-Cole model. (C) 2003 Elsevier Science Ltd. All rights reserved.
Keywordinversion algorithm induced polarization statistical methods ridge regression multi-normal distributions Matlab
DOI10.1016/S0098-3004(03)00032-2
Language英语
WOS Research AreaComputer Science ; Geology
WOS SubjectComputer Science, Interdisciplinary Applications ; Geosciences, Multidisciplinary
WOS IDWOS:000183670200011
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18515
Collection系统科学研究所
Affiliation1.Cent S Univ, Dept Geol, Changsha 410083, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xiang, HP,Cheng, DZ,Schlindwein, FS,et al. On the adequacy of identified Cole-Cole models[J]. COMPUTERS & GEOSCIENCES,2003,29(5):647-654.
APA Xiang, HP,Cheng, DZ,Schlindwein, FS,&Jones, NB.(2003).On the adequacy of identified Cole-Cole models.COMPUTERS & GEOSCIENCES,29(5),647-654.
MLA Xiang, HP,et al."On the adequacy of identified Cole-Cole models".COMPUTERS & GEOSCIENCES 29.5(2003):647-654.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Xiang, HP]'s Articles
[Cheng, DZ]'s Articles
[Schlindwein, FS]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xiang, HP]'s Articles
[Cheng, DZ]'s Articles
[Schlindwein, FS]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xiang, HP]'s Articles
[Cheng, DZ]'s Articles
[Schlindwein, FS]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.