Three-dimensional modelling and inversion of dc resistivity data incorporating topography - II. Inversion

Alumbaugh, 2000, Image appraisal for 2-d and 3-d electromagnetic inversion, Geophysics, 65, 1455, 10.1190/1.1444834

Amestoy, 1996, An approximate minimum degree ordering algorithm, SIAM Journal on Matrix Analysis and Applications, 17, 886, 10.1137/S0895479894278952

Barker, 1989, Depth of investigation of collinear symmetrical four-electrode arrays, Geophysics, 54, 1031, 10.1190/1.1442728

Broyden, 1972, Numerical methods for unconstrained optimization

Constable, 1987, Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289, 10.1190/1.1442303

de Groot-Hedlin, 1990, Occams inversion: to generate smooth two-dimensional models from magnetotelluric data, Geophysics, 55, 1613, 10.1190/1.1442813

Druskin, 1998, On the uniqueness of inverse problems from incomplete boundary data, SIAM J. Appl. Math., 58, 1591, 10.1137/S0036139996298292

Ellis, 1994, The pole-pole 3-d dc-resistivity inverse problem: a conjugate gradient approach, Geophys. J. Int., 119, 187, 10.1111/j.1365-246X.1994.tb00921.x

Farquharson, 2004, A comparison of automatic techniques for estimating the regularization parameter in non-linear inverse problems, Geophys. J. Int., 156, 411, 10.1111/j.1365-246X.2004.02190.x

Friedel, 2003, Resolution, stability and efficiency of resistivity tomography estimated from a generalized inverse approach, Geophys. J. Int., 153, 305, 10.1046/j.1365-246X.2003.01890.x

Frommer, 1999, Fast cg-based methods for Tikhonov-Phillips regularization, SIAM J. Sci. Computing, 20, 1831, 10.1137/S1064827596313310

Geselowitz, 1971, An application of electrocardiographic lead theory to impedance plethysmography, IEEE Trans. Biomed. Eng., BME-18, 38, 10.1109/TBME.1971.4502787

Günther, T. , 2004. Inversion Methods and Resolution Analysis for the 2D/3D Reconstruction of Resistivity Structures from DC Measurements, PhD thesis, Freiberg University of Mining and Technology, available from http://fridolin.tu-freiberg.de.

Haber, 2005, Quasi-newton methods for large-scale electromagnetic inversion problems, Inverse Problems, 21, 305, 10.1088/0266-5611/21/1/019

Hansen, 1993, The use of the L-curve in the regularization of discrete ill-posed problems, SIAM J. Sci. Comput., 114, 1487, 10.1137/0914086

Kemna, 2000, Tomographic inversion of complex resistivity

Kershaw, 1978, The incomplete cholesky-conjugate gradient method for the iterative solution of systems of linear equations, J. Comput. Phys., 26, 43, 10.1016/0021-9991(78)90098-0

La Brecque, 1995, Proceedings I. International Symposium on Three-Dimensional Electromagnetics in Ridgefield, CT, Oct 4-6, 1995, 471

Li, 1999, 69th Annual Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 251

Loke, 1996, Practical techniques for 3d resistivity surveys and data inversion, Geophys. Prospect., 44, 499, 10.1111/j.1365-2478.1996.tb00162.x

McGillivray, 1990, Methods for calculating frechet derivatives and sensitivities for the non-linear inverse problem: a comparative study, Geophys. Prospect., 38, 499, 10.1111/j.1365-2478.1990.tb01859.x

Pain, 2003, Anisotropic resistivity inversion, Inverse Problems, 19, 1081, 10.1088/0266-5611/19/5/306

Park, 1991, Inversion of pole-pole data for 3-d resistivity structure beneath arrays of electrodes, Geophysics, 56, 951, 10.1190/1.1443128

Portniaguine, 1999, Focusing geophysical inversion images, Geophysics, 64, 874, 10.1190/1.1444596

Press, 19881992, Numerical Recipes in C: The art of scientific computing

Roy, 1971, Depth of investigation in direct current methods, Geophysics, 36, 943, 10.1190/1.1440226

Rücker, 2006, Three-dimensional modeling and inversion of dc resistivity data incorporating topography - I. Modelling, Geophys. J. Int., 10.1111/j.1365-246X.2006.03010.x

Sasaki, 1989, Two-dimensional joint inversion of magnetotelluric and dipole-dipole resistivity data, Geophysics, 54, 254, 10.1190/1.1442649

Sasaki, 1994, 3-d resistivity inversion using the finite-element method, Geophysics, 59, 1839, 10.1190/1.1443571

Si, H. , 2003. TetGen: A 3d delaunay tetrahedral mesh generator, http://tetgen.berlios.de.

Spitzer, 1998, The three-dimensional dc sensitivity for surface and subsurface sources, Geophys. J. Int., 134, 736, 10.1046/j.1365-246x.1998.00592.x

Sugimoto, 1999, Shallow high-resolution 2-d and 3-d electrical crosshole imaging, The Leading Edge, 18, 1425, 10.1190/1.1438244

Tikhonov, 1977, Solution of Ill-Posed Problems

Toledo, S. , Chen, D. & Rothkin, V. , 2001. Taucs-a library of sparse linear solvers, http://www.tau.ac.il/stoledo/taucs/.

Vogel, 1996, Non-convergence of the L-curve regularization parameter selection method, Inverse Problems, 12, 535, 10.1088/0266-5611/12/4/013

Yi, 2001, Three-dimensional imaging of subsurface structures using resistivity data, Geophys. Prospect., 49, 483, 10.1046/j.1365-2478.2001.00269.x

Yi, 2003, Enhancing the resolving power of least-squares inversion with active constraint balancing, Geophysics, 68, 931, 10.1190/1.1581045

Zhang, 1995, 3-d resistivity forward modeling and inversion using conjugate gradients, Geophysics, 60, 1313, 10.1190/1.1443868

Zhdanov, 2002, Geophysical Inverse Theory and Regularization Problems

Zhdanov, 1994, The Geoelectrical Methods in Geophysical Exploration, Methods in Geochemistry and Geophysics