AN EFFECTIVE RIDGE-REGRESSION PROCEDURE FOR RESISTIVITY DATA INVERSION

被引:34
作者
MEJU, MA
机构
[1] Department of Geology, University of Leicester, Leicester
关键词
RESISTIVITY DEPTH SOUNDING; AUTOMATED DATA PROCESSING; RIDGE REGRESSION; REGRESSION ANALYSIS; GEOPHYSICS;
D O I
10.1016/0098-3004(92)90079-7
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The inversion of geoelectrical sounding data for the subsurface resistivity structure is a difficult task due to the nonlinear and nonunique nature of the problem. An effective algorithm for inverting resistivity data by ridge regression is described. It uses a line search procedure in a two-stage least-squares minimization process resulting in a stable and rapidly convergent algorithm. A FORTRAN-77 routine RIDGE based on the algorithm, its implementation and a driver program for magnetotelluric inversion MTINV, are discussed. The procedure is applied to magnetotelluric (MT) and transient electromagnetic (TEM) data to demonstrate its effectiveness and general applicability.
引用
收藏
页码:99 / 118
页数:20
相关论文
共 20 条
[11]  
Levenberg KA., 2018, Q APPL MATH, V2, P436, DOI [DOI 10.1090/QAM/10666, 10.1016/j.healun.2011.11.021, 10.1090/qam/10666]
[12]   TUTORIAL - A REVIEW OF LEAST-SQUARES INVERSION AND ITS APPLICATION TO GEOPHYSICAL PROBLEMS [J].
LINES, LR ;
TREITEL, S .
GEOPHYSICAL PROSPECTING, 1984, 32 (02) :159-186
[13]   GENERALIZED INVERSES, RIDGE REGRESSION, BIASED LINEAR ESTIMATION, AND NONLINEAR ESTIMATION [J].
MARQUARDT, DW .
TECHNOMETRICS, 1970, 12 (03) :591-+
[14]   AN ALGORITHM FOR LEAST-SQUARES ESTIMATION OF NONLINEAR PARAMETERS [J].
MARQUARDT, DW .
JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1963, 11 (02) :431-441
[15]  
MEJU M, 1988, THESIS U EDINBURGH
[16]  
MEJU MA, 1987, GEOPHYS J INT, V89, P485
[17]  
MEJU MA, 1991, GEOPHYS J INT, V104, P673
[18]   LEAST-SQUARES INVERSION OF ONE-DIMENSIONAL MAGNETOTELLURIC DATA - AN ASSESSMENT OF PROCEDURES EMPLOYED BY BROWN-UNIVERSITY [J].
PEDERSEN, J ;
HERMANCE, JF .
SURVEYS IN GEOPHYSICS, 1986, 8 (02) :187-231
[19]  
Raiche A.P., 1984, EXPLOR GEOPHYS, V15, P37, DOI DOI 10.1071/EG984037
[20]  
WORD DR, 1970, 82 U TEX EL GEOPH RE