Cross-gradients joint 3D inversion with applications to gravity and magnetic data

GEOPHYSICS

Volumn 74, Issue 4, 2009, Pages

  Fregoso, Emilia ^a   Gallardo, Luis A ^a,b  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

MAGNETIC STORAGE; MAGNETISM;

3-D INVERSIONS; EQUALITY CONSTRAINTS; JOINT INVERSION; MAGNETIC DATA; SOLUTION PROCEDURE; STATISTICAL FORMULATION; STRUCTURAL SIMILARITY; THREE-DIMENSIONAL ENVIRONMENT;

SINGULAR VALUE DECOMPOSITION;

ALGORITHM; DATA INTERPRETATION; DATA INVERSION; DECOMPOSITION ANALYSIS; GRAVITY SURVEY; MAGNETIC SURVEY; METHODOLOGY; NUMERICAL MODEL; THREE-DIMENSIONAL MODELING;

EID: 67650318269     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3119263     Document Type: Article

References (33)

1. Afnimar, K. Koketsu, and K. Nakagawa, 2002, Joint inversion of refraction and gravity data for the three-dimensional topography of a sediment-basement interface: Geophysical Journal International, 151, 243-254. gji GJINEA 0956-540X 10.1046/j.1365-246X.2002.01772.x
2. Bedrosian, P. A., N. Maercklin, U. Weckmann, Y. Bartov, T. Ryberg, and O. Ritter, 2007, Lithology-derived structure classification from the joint interpretation of magnetotelluric and seismic models: Geophysical Journal International, 170, 737-748. gji GJINEA 0956-540X 10.1111/ j.1365-246X.2007.03440.x
3. Bhaskara-Rao, D., M. J. Prakash, and N. Ramesh-Babu, 1990, 3D and 2 1/2 D modeling of gravity anomalies with variable density contrast: Geophysical Prospecting, 38, 411-422. 8uc GPPRAR 0016-8025 10.1111/ j.1365-2478.1990.tb01854.x
4. Bhattacharyya, B. K., 1966, A method for computing the total magnetization vector and the dimensions of a rectangular block-shaped body from magnetic anomalies: Geophysics, 31, 74-96. gpy GPYSA7 0016-8033 10.1190/1.1439765
5. Bosch, M., 1999, Lithologic tomography: From plural geophysical data to lithology estimation: Journal of Geophysical Research, 104, 749-766. jgr JGREA2 0148-0227 10.1029/1998JB900014
6. Bosch, M., and J. McGaughey, 2001, Joint inversion of gravity and magnetic data under lithologic constraints: The Leading Edge, 20, 877-881. lee LEEDFF 1070-485X 10.1190/1.1487299
7. Chen, J., S. Hubbard, J. Peterson, K. Williams, M. Fienen, P. Jardine, and D. Watson, 2006, Development of a joint hydrogeophysical inversion approach and application to a contaminated fractured aquifer: Water Resources Research, 42, W06425. wre WRERAQ 0043-1397 10.1029/2005WR004694
8. Chen, J., and Y. Rubin, 2003, An effective Bayesian model for lithofacies estimation using geophysical data: Water Resources Research, 39, 1118. wre WRERAQ 0043-1397 10.1029/2002WR001666
9. de Groot-Hedlin, C., and S. Constable, 1990, Occam's inversion to generate smooth, two-dimensional models from magnetotelluric data: Geophysics, 55, 1613-1624. gpy GPYSA7 0016-8033 10.1190/1.1442813
10. Ezzedine, S., Y. Rubin, and J. Chen, 1999, Bayesian method for hydrogeological site characterization using borehole and geophysical survey data: Theory and application to the Lawrence Livermore National Laboratory superfund site: Water Resources Research, 35, 2671-2683. wre WRERAQ 0043-1397 10.1029/1999WR900131
11. Gallardo, L. A., 2007, Multiple cross-gradient joint inversion for geospectral imaging: Geophysical Research Letters, 34, L19301. gpr GPRLAJ 0094-8276 10.1029/2007GL030409
12. Gallardo-Delgado, L. A., M. A. Pérez-Flores, and E. Gómez-Treviño, 2003, A versatile algorithm for joint 3D inversion of gravity and magnetic data: Geophysics, 68, 949-959. gpy GPYSA7 0016-8033 10.1190/1.1581067
13. Gallardo, L. A., and M. A. Meju, 2003, Characterization of heterogeneous near-surface materials by joint 2D inversion of DC resistivity and seismic data: Geophysical Research Letters, 30, 1658. gpr GPRLAJ 0094-8276 10.1029/2003GL017370
14. Gallardo, L. A., and M. A. Meju, 2004, Joint two-dimensional DC resistivity and seismic travel time inversion with cross-gradients constraints: Journal of Geophysical Research, 109, B03311. jgr JGREA2 0148-0227 10.1029/2003JB002716
15. Gallardo, L. A., and M. A. Meju, 2007, Joint 2D cross-gradients imaging of magnetotelluric and seismic travel-time data for structural and lithological classification: Geophysical Journal International, 169, 1261-1272. gji GJINEA 0956-540X 10.1111/j.1365-246X.2007.03366.x
16. Gallardo, L. A., M. A. Meju, and M. A. Perez-Flores, 2005, A quadratic programming approach for joint image reconstruction: Mathematical and geophysical examples: Inverse Problems, 21, 435-452. inp INPEEY 0266-5611 10.1088/0266-5611/21/2/002
17. Haber, E., and D. Oldenburg, 1997, Joint inversion: A structural approach: Inverse Problems, 13, 63-77. inp INPEEY 0266-5611 10.1088/ 0266-5611/13/1/006
18. Kowalsky, M. B., J. Chen, and S. S. Hubbard, 2006, Joint inversion of Geophysical and hydrological data for improved subsurface characterization: The Leading Edge, 25, 730-734. lee LEEDFF 1070-485X 10.1190/1.2210057
19. Li, Y., and D. W. Oldenburg, 1998, 3-D inversion of gravity data: Geophysics, 63, 109-119. gpy GPYSA7 0016-8033 10.1190/1.1444302
20. Linde, N., A. Binley, A. Tryggvason, L. B. Pedersen, and A. Revil, 2006, Improved hydrogeophysical characterization using joint inversion of crosshole electrical resistance and ground penetrating traveltime data: Water Resources Research, 42, W12404. wre WRERAQ 0043-1397 12410.11029/ 12006WR005131
21. Linde, N., A. Tryggvason, J. E. Peterson, and S. S. Hubbard, 2008, Joint inversion of crosshole radar and seismic traveltimes acquired at the South Oyster bacterial transport site: Geophysics, 73, no. 4, G29-G37. gpy GPYSA7 0016-8033 10.1190/1.2937467
22. Lines, L. R., and S. Treitel, 1984, Tutorial: A review of least-squares inversion and its application to geophysical problems: Geophysical Prospecting, 32, 159-186. 8ac ZZZZZZ 0964-4563 10.1111/ j.1365-2478.1984.tb00726.x
23. Marquardt, D. W., 1970, Generalized inverses, ridge regression, biased linear estimation., and nonlinear estimation: Technometrics, 12, 591-612. thn TCMTA2 0040-1706 10.2307/1267205
24. Musil, M., H. R. Maurer, and A. G. Green, 2003, Discrete tomography and joint inversion for loosely connected or unconnected physical properties: Application to crosshole seismic and georadar data sets: Geophysical Journal International, 153, 389-402. gji GJINEA 0956-540X 10.1046/j.1365-246X.2003.01887.x
25. Pérez-Flores, M. A., F. Suárez-Vidal, L. A. Gallardo-Delgado, A. González-Fernández, and R. Vázquez, 2004, Structural pattern of the Todos Santos Coastal Plain, based on geophysical data: Ciencias Marinas, 30, 349-364.
26. Pilkington, M., 2006, Joint inversion of gravity and magnetic data for two-layer models: Geophysics, 71, no. 3, L35-L42. gpy GPYSA7 0016-8033 10.1190/1.2194514
27. Portniaguine, O., and M. S. Zhdanov, 2002, 3-D magnetic inversion with data compression and image focusing: Geophysics, 67, 1532-1541. gpy GPYSA7 0016-8033 10.1190/1.1512749
28. Saunders, J. H., J. V. Herwanger, C. C. Pain, M. H. Worthington, and C. R. E. de Oliveira, 2005, Constrained resistivity inversion using seismic data: Geophysical Journal International, 160, 785-796. gji GJINEA 0956-540X 10.1111/j.1365-246X.2005.02566.x
29. Strang, G., 1980, Linear algebra and its applications: 2nd edition, Academic Press.
30. Tarantola, A., and B. Valette, 1982, Generalized non-linear inverse problems solved using the least-squares criterion: Reviews of Geophysics and Space Physics, 20, 219-232. rgh RGPSBL 0034-6853 10.1029/ RG020i002p00219
31. Tryggvason, A., and N. Linde, 2006, Local earthquake (LE) tomography with joint inversion for P- and S-wave velocities using structural constraints: Geophysical Research Letters, 33, L07303. gpr GPRLAJ 0094-8276 10.1029/2005GL025485
32. Zeyen, H., and J. Pous, 1993, 3-D joint inversion of magnetic and gravimetric data with a priori information: Geophysical Journal International, 112, 244-256. gji GJINEA 0956-540X 10.1111/ j.1365-246X.1993.tb01452.x
33. Zhang, J., and F. D. Morgan, 1997, Joint seismic and electrical tomography: Ninth Symposium on the Application of Geophysics to Engineering and Environmental Problems, EEGS, 391-395.