|本期目录/Table of Contents|

[1]伍开江,周启友.基于序列二次规划方法的高密度电阻率反演[J].地球科学与环境学报,2005,27(03):63-67.
　WU Kai-jiang,ZHOU Qi-you.High density electrical resistivity inversion based on sequential quadratic programming method[J].Journal of Earth Sciences and Environment,2005,27(03):63-67.
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基于序列二次规划方法的高密度电阻率反演(PDF)
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《地球科学与环境学报》[ISSN:1672-6561/CN:61-1423/P]

卷:
第27卷
期数:
2005年第03期
页码:
63-67
栏目:
出版日期:
2005-09-15

文章信息/Info

Title:
High density electrical resistivity inversion based on sequential quadratic programming method
作者:
伍开江; 周启友
南京大学地球科学系,江苏南京210093
Author(s):
WU Kai-jiang; ZHOU Qi-you
Department of Earth Sciences, Nanjing University, Nanjing 210093,China
关键词:
电阻率; 反演; 有限元法; 参数优化; SQP方法
Keywords:
electrical resistivity;  inversion;  finite element method;  parameter optimization;  sequential quadratic programming method
分类号:
P631.3+22
DOI:
-
文献标志码:
A
摘要:
针对高密度电阻率成像法反演计算中存在的困难,探讨了基于序列二次规划(SQP)方法建立 可行的电阻率反演算法的问题。在对三维点电源二维地电体电位场模型有限元法正演计算的基础上, 建立了基于SQP方法的高密度电阻率成像法反演算法。根据勘测中测量电极间距的不同,提出按不同 的电极间距分别建立优化模型进行参数优化。通过对模拟电阻率模型和实际观测资料的反演计算,表 明该算法进行高密度电阻率反演是可行的,其具有对初始模型无特殊要求、收敛速度快的特点。这一反 演算法可望在高密度电阻率成像的反演计算中得到应用。
Abstract:
This paper developed a feasible inverse algorithm based on sequential quadratic programming(SQP)method to deal with the inversion problems of high density electrical resistivity tomography prospecting. Based on the forward calculation of electrical po- tential for three-dimensional point source and two-dimensional earth with finite element method, an inversion algorithm was built with SQP method. According to the difference of electrode intervals, the objective function of parameter optimization was formed re- spectively. Applications of the algorithm to artificial resistivity models and real data indicated thatitis feasible in high density electri- cal resistivity inversion and has the advantages of no particular constraints to the initial parameter and high convergence speed. So this algorithm has great potential applications in the high density electrical resistivity tomography prospecting.

参考文献/References:

[1] Dai ly W, Ramirez A , LaBrecque D, et al. Elect rical resis ti vi ty t omography of vadose zone w ater movem en t[J] . Wat er Resour Res , 1992, 28(5):1424 ～ 1442.
[2] Ramirer A , Daily W, Labrecque D, et al. Monit oring an underground s team injection process using elect rical resist ance tomography[ J] . Wat er Resou r Res , 1993 , 29(1):73～ 87.
[3] Binley A, H en ry-Poult er S , Sh aw B. Ex amin at ion of s olut e t ransport in an undis tu rbed soil column using elect ri cal resi stance t om og raphy[J] . Wat er Resour Res , 1996 , 32(4): 763 ～ 769.
[4] Guo Y Q , Bat oz J L, Naceu r H , et al. Recent development s on the analysi s and opt imum desi gn of sheet m et al f orming part s using a sim plified inverse approach[J] . Comput ers and S t ru ctures , 2000 , 78 :133 ～ 148.
[5] Kyoung K S , LeeW I. Solution of inverse heat conduction problems using maximum ent ropy method[J] . International Journal of H eat and Mass Transfer Volume, 2002 , 45:381 ～ 391.
[6] Villaf af ila A , Muj taba I M. Fresh w ater by reverse osm osis based desalinati on :simulat ion and opt imizat ion[J] . Desalinati on , 2003 , 155 :1 ～ 13.
[7] Tripp A C , Hohmann G W , Swif t C M J r. Tw o-dimensional resistivity inversion[J] . Geophysics , 1984, 49(10):1708～ 1717.
[8] Sasaki Y. Tw o-dim ensi onal joint inversion of magn et ot ellu ric and dipole-dipole resi st ivit y data[J] . Geophysics , 1989 , 54 (2):254 ～ 262.
[9] Sasaki Y. 3-D resi st ivi ty inversion u sing the f init e-elem ent method[J] . Geophysi cs , 1994 , 59 (11):1839 ～ 1848.
[10] S hima H. Tw o-dimen sional aut omati c resi sti vi ty inversion t echnique u sing alpha cent ers[J] . Geophysi cs , 1990 , 55(6): 682 ～ 694.
[11] Zhang J , Mackie R L , Madden T R. 3-D resis tivit y f orward m odeling and in version using conjugat e g radient s[J] . Geophy si cs , 1995 , 60(5):1313 ～ 1325.
[12] Zhou Q Y, S himada J , Sat o A. Three-dimensional soil resi st ivit y inversi on u sing patching method[J] . Jour Japan Soc En g Geol , 1999 , 39(6):524 ～ 532.
[13] 杨冰. 实用最优化方法 及计算机 程序[M] . 哈尔滨 :哈尔滨 船舶工程学院出版社 , 1994.
[14] 袁亚湘 , 孙文 瑜. 最优化理 论与方法[M] . 北 京 :科学 出版 社 , 1997.

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备注/Memo

备注/Memo:
[收稿日期]2004-09-26
[基金项目]国家自然科学基金项目(40371021)
[作者简介]伍开江(1979-),男,四川双流人,硕士研究生,从事高密度电阻率成像法的应用研究。
更新日期/Last Update: 1900-01-01