A COMPARISON OF THE GAUSS-NEWTON AND QUASI-NEWTON METHODS IN RESISTIVITY IMAGING INVERSION
- DSpace Home
- →
- Геология России
- →
- ELibrary
- →
- View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.
A COMPARISON OF THE GAUSS-NEWTON AND QUASI-NEWTON METHODS IN RESISTIVITY IMAGING INVERSION
Loke M.H.; Dahlin T.
xmlui.dri2xhtml.METS-1.0.item-citation:
Journal of Applied Geophysics, 2002, 49, 3, 149-162
Date:
2002
Abstract:
The smoothness-constrained least-squares method is widely used for two-dimensional (2D) and three-dimensional (3D) inversion of apparent resistivity data sets. The Gauss-Newton method that recalculates the Jacobian matrix of partial derivatives for all iterations is commonly used to solve the least-squares equation. The quasi-Newton method has also been used to reduce the computer time. In this method, the Jacobian matrix for a homogeneous earth model is used for the first iteration, and the Jacobian matrices for subsequent iterations are estimated by an updating technique. Since the Gauss-Newton method uses the exact partial derivatives, it should require fewer iterations to converge. However, for many data sets, the quasi-Newton method can be significantly faster than the Gauss-Newton method. The effectiveness of a third method that is a combination of the Gauss-Newton and quasi-Newton methods is also examined. In this combined inversion method, the partial derivatives are directly recalculated for the first two or three iterations, and then estimated by a quasi-Newton updating technique for the later iterations.The three different inversion methods are tested with a number of synthetic and field data sets. In areas with moderate (less than 10:1) subsurface resistivity contrasts, the inversion models obtained by the three methods are similar. In areas with large resistivity contrasts, the Gauss-Newton method gives significantly more accurate results than the quasi-Newton method. However, even for large resistivity contrasts, the differences in the models obtained by the Gauss-Newton method and the combined inversion method are small. As the combined inversion method is faster than the Gauss-Newton method, it represents a satisfactory compromise between speed and accuracy for many data sets.
Files in this item
This item appears in the following Collection(s)
-
ELibrary
Метаданные публикаций с сайта https://www.elibrary.ru
Related items
Showing items related by title, author, creator and subject.
-
Newton R.J.; Bottrell S.H.; Dean S.P.; Hatfield D.; Raiswell R. (1995)The use of chromous chloride reduction as a preparation technique for isolation of pyrite sulphur for isotopic analysis has been assessed. A small but consistent fractionation is introduced by reduction of pyrite to H2S, ...
-
Aranovich L.Ya.; Newton R.C. (1996)Активность H2O в концентрированных NaCl р-рах измерялась при 600-900°C и 2-15 кбар и при концентрациях NaCl до насыщения по галиту при снижении равновесной дегидратации в бинарной системе синтетических брусит-периклаз. ...
-
Koziol A.M.; Newton R.C. (1998)The P-T equilibrium curve of the reaction of magnesite + enstatite = forsterite and CO2 was determined in the ranges 6-25 kbar and 700-1100 degrees C by 53 reversed experiments carried out in 1.91 cm diameter piston-cylinder ...
Search DSpace
Browse
-
All of DSpace
-
This Collection