3D magnetotelluric inversion using a limited-memory quasi-Newton optimization

Geophysics

Volumn 74, Issue 3, 2009, Pages

  Avdeev, Dmitry ^a,b   Avdeeva, Anna ^a  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

^b PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DIGITAL STORAGE; ELECTROMAGNETIC FIELDS; MAGNETOTELLURICS; NEWTON-RAPHSON METHOD; UNDERGROUND STRUCTURES;

ADJOINT METHODS; FORWARD MODELING; IMPEDANCE MATRICES; INVERSION TECHNIQUES; LIMITED MEMORY QUASI NEWTONS; NON LINEAR INVERSION; PENALTY FUNCTION; TIKHONOV REGULARIZATION;

INTEGRAL EQUATIONS;

DATA INVERSION; ELECTRICAL CONDUCTIVITY; ELECTRICAL RESISTIVITY; ELECTROMAGNETIC FIELD; MAGNETOTELLURIC METHOD; NUMERICAL METHOD; OPTIMIZATION; THREE-DIMENSIONAL MODELING; UNDERGROUND CONSTRUCTION;

EID: 65549136157     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3114023     Document Type: Article

References (28)

1. Abubakar, A., T. M. Habashy, V. L. Druskin, L. Knizhnerman, and D. Alumbaugh, 2008, 2.5D forward and inverse modeling for interpreting low-frequency electromagnetic measurements: Geophysics, 73, no. 4, F165-F177. gpy GPYSA7 0016-8033 10.1190/1.2937466
2. Avdeev, D. B., 2005, Three-dimensional electromagnetic modelling and inversion from theory to application: Surveys in Geophysics, 26, 767-799. svg SUGEEC 0169-3298 10.1007/s10712-005-1836-x
3. Avdeev, D. B., A. V. Kuvshinov, O. V. Pankratov, and G. A. Newman, 1997, High-performance three-dimensional electromagnetic modeling using modified Neumann series: Wide-band numerical solution and examples: Journal of Geomagnetism and Geoelectricity, 49, 1519-1539. jgg JGEGAB 0022-1392
4. 2002, Three-dimensional induction logging problems, Part I - An integral equation solution and model comparisons: Geophysics, 67, 413-426. gpy GPYSA7 0016-8033 10.1190/1.1468601 413-426.
5. Avdeeva, A. D., and D. B. Avdeev, 2006, A limited-memory quasi-Newton inversion for 1D magnetotellurics: Geophysics, 71, no. 5, G191-G196. gpy GPYSA7 0016-8033 10.1190/1.2236381
6. Byrd, R. H., P. Lu, J. Nocedal, and C. Zhu, 1995, A limited memory algorithm for bound constrained optimization: SIAM Journal on Scientific Computing, 16, 1190-1208. 8sm SJOCE3 1064-8275 10.1137/0916069
7. Chen, J., D. W. Oldenburg, and E. Haber, 2005, Reciprocity in electromagnetics: Application to modeling marine magnetometric resistivity data: Physics of the Earth and Planetary Interiors, 150, 45-61. pei PEPIAM 0031-9201 10.1016/j.pepi.2004.08.015
8. Dorn, O., H. Bertete-Aguirre, J. G. Berryman, and G. C. Papanicolaou, 1999, A nonlinear inversion method for 3D electromagnetic imaging using adjoint fields: Inverse Problems, 15, 1523-1558. inp INPEEY 0266-5611 10.1088/0266-5611/15/6/309
9. Farquharson, C. G., and D. W. Oldenburg, 1998, Non-linear inversion using general measures of data misfit and model structure: Geophysical Journal International, 134, 213-227. gji GJINEA 0956-540X 10.1046/ j.1365-246x.1998.00555.x
10. Haber, E., 2005, Quasi-Newton methods for large-scale electromagnetic inverse problems: Inverse Problems, 21, 305-323. inp INPEEY 0266-5611 10.1088/0266-5611/21/1/019
11. Haber, E., U. Ascher, and D. Oldenburg, 2000, On optimization techniques for solving nonlinear inverse problems: Inverse Problems, 16, 1263-1280. inp INPEEY 0266-5611 10.1088/0266-5611/16/5/309
12. Mackie, R. L., W. Rodi, and M. D. Watts, 2001, 3D magnetotelluric inversion for resource exploration: 71st Annual International Meeting, SEG, Expanded Abstracts, 1501-1504.
13. Mackie, R. L., J. T. Smith, and T. R. Madden, 1994, Three-dimensional electromagnetic modeling using finite difference equations: The magnetotelluric example: Radio Science, 29, 923-935. ras RASCAD 0048-6604 10.1029/94RS00326
14. Mackie, R. L., M. D. Watts, and W. Rodi, 2007, Joint 3D inversion of marine CSEM and MT data: 77th Annual International Meeting, SEG, Expanded Abstracts, 574-578.
15. McGillivray, P. R., and D. W. Oldenburg, 1990, Methods for calculating Frechet derivatives and sensitivities for the non-linear inverse problems: Geophysics, 60, 899-911. gpy GPYSA7 0016-8033 10.1190/1.1443825
16. Miensopust, M., 2008, Comparison of the 3D forward responses: Presented at the MT 3D Inversion Workshop, DIAS, accessed 11 July 2008, http://www.dias.ie/lang/en/cosmic/geo/mt_workshop2008.html.
17. Newman, G. A., and D. L. Alumbaugh, 2000, Three-dimensional magnetotelluric inversion using non-linear conjugate gradients: Geophysical Journal International, 140, 410-424. gji GJINEA 0956-540X 10.1046/j.1365-246x.2000.00007.x
18. Newman, G. A., and P. T. Boggs, 2004, Solution accelerators for large-scale three-dimensional electromagnetic inverse problem: Inverse Problems, 20, s151-170. inp INPEEY 0266-5611
19. Nocedal, J., and S. J. Wright, 1999, Numerical optimization: Springer.
20. Plessix, R.-E., and W. A. Mulder, 2008, Resistivity imaging with controlled-source electromagnetic data: Depth and data weighting: Inverse Problems, 24, 1-22. inp INPEEY 0266-5611
21. Rodi, W., 1976, A technique for improving the accuracy of finite element solution for magnetotelluric data: Geophysical Journal of the Royal Astronomical Society, 44, 483-506. gjr GEOJAN 0016-8009
22. Rodi, W., and R. L. Mackie, 2001, Nonlinear conjugate gradients algorithm for 2D magnetotelluric inversion: Geophysics, 66, 174-187. gpy GPYSA7 0016-8033 10.1190/1.1444893
23. Siripunvaraporn, W., G. Egbert, Y. Lenbury, and M. Uyeshima, 2005, Three-dimensional magnetotelluric inversion: Data-space method: Physics of the Earth and Planetary Interiors, 150, 3-14. pei PEPIAM 0031-9201 10.1016/j.pepi.2004.08.023
24. Tikhonov, A. N., and V. Y. Arsenin, 1977, Solutions of ill-posed problems: John Wiley & Sons, Inc.
25. Wannamaker, P. E., 1991, Advances in three-dimensional magnetotelluric modeling using integral equations: Geophysics, 56, 1716-1728. gpy GPYSA7 0016-8033 10.1190/1.1442984
26. Ward, S. H., and G. W. Hohmann, 1987, Electromagnetic theory for geophysical applications, in M. N. Nabighian, ed., Electromagnetic methods in applied geophysics: SEG, 131-311.
27. Weidelt, P., 1975, Inversion of two-dimensional conductivity structures: Physics of the Earth and Planetary Interiors, 10, 281-291. pei PEPIAM 0031-9201
28. Zhdanov, M. S., and E. Tolstaya, 2004, Minimum support nonlinear parameterization in the solution of a 3D magnetotelluric inverse problem: Inverse Problems, 20, 937-952. inp INPEEY 0266-5611 10.1088/ 0266-5611/20/3/017