IJG  Vol.6 No.2 , February 2015
Simultaneous Structure-Coupled Joint Inversion of Gravity and Magnetic Data Based on a Damped Least-Squares Technique
Author(s) Junjie Zhou1,2*, Chunxiao Xiu1,2, Xingdong Zhang1,2
ABSTRACT
The structure-coupled joint inversion method of gravity and magnetic data is a powerful tool for developing improved physical property models with high resolution and compatible features; however, the conventional procedure is inefficient due to the truncated singular values decomposition (SVD) process at each iteration. To improve the algorithm, a technique using damped leastsquares is adopted to calculate the structural term of model updates, instead of the truncated SVD. This produces structural coupled density and magnetization images with high efficiency. A so-called coupling factor is introduced to regulate the tuning of the desired final structural similarity level. Synthetic examples show that the joint inversion results are internally consistent and achieve higher resolution than separated. The acceptable runtime performance of the damped least squares technique used in joint inversion indicates that it is more suitable for practical use than the truncated SVD method.

Cite this paper
Zhou, J. , Xiu, C. , Zhang, X. (2015) Simultaneous Structure-Coupled Joint Inversion of Gravity and Magnetic Data Based on a Damped Least-Squares Technique. International Journal of Geosciences, 6, 172-179. doi: 10.4236/ijg.2015.62011.
References
[1]   Menichetti, V. and Guillen, A. (1983) Simultaneous Interactive Magnetic and Gravity Inversion. Geophysical Prospecting, 31, 929-944. http://dx.doi.org/10.1111/j.1365-2478.1983.tb01098.x

[2]   Serpa, L.F. and Cook, K.L. (1984) Simultaneous Inversion Modeling of Gravity and Aeromagnetic Data Applied to a Geothermal Study in Utah. Geophysics, 49, 1327-1337. http://dx.doi.org/10.1190/1.1441759

[3]   Zeyen, H. and Pous, J. (1993) 3-D Joint Inversion of Magnetic and Gravimetric Data with a Priori Information. Geophysical Journal International, 112, 244-256.
http://dx.doi.org/10.1111/j.1365-246X.1993.tb01452.x

[4]   Gallardo-Delgado, L., Pérez-Flores, M. and Gómez-Trevi?o, E. (2003) A Versatile Algorithm for Joint 3D Inversion of gravity and Magnetic data. Geophysics, 68, 949-959. http://dx.doi.org/10.1190/1.1581067

[5]   Pilkington, M. (2006) Joint Inversion of Gravity and Magnetic Data for Two-Layer Models. Geophysics, 71, L35-L42. http://dx.doi.org/10.1190/1.2194514

[6]   Gallardo, L.A., Pérez-Flores, M.A. and Gómez-Trevino, E. (2005) Refinement of Three-Dimensional Multilayer Models of Basins and Crustal Environments by Inversion of Gravity and Magnetic Data. Tectonophysics, 397, 37-54. http://dx.doi.org/10.1016/j.tecto.2004.10.010

[7]   Fregoso, E. and Gallardo, L.A. (2009) Cross-Gradients Joint 3D Inversion with Applications to Gravity and Magnetic data. Geophysics, 74, L31-L42. http://dx.doi.org/10.1190/1.3119263

[8]   Gallardo, L.A. and Meju, M.A. (2004) Joint Two-Dimensional DC Resistivity and Seismic Travel Time Inversion with cross-Gradients Constraints: Journal of Geophysical Research, 109, Article ID: B03311.
http://dx.doi.org/10.1029/2003JB002716

[9]   Linde, N., Binley, A., Tryggvason, A., et al. (2006) Improved Hydrogeophysical Characterization Using Joint Inversion of Cross-Hole Electrical Resistance and Ground-Penetrating Radar Traveltime Data. Water Resources Research, 42, Article ID: W12404. http://dx.doi.org/10.1029/2006WR005131

[10]   Gallardo, L.A., Fontes, S.L., Meju, M.A., et al. (2012) Robust Geophysical Integration through Structure-Coupled Joint Inversion and Multispectral Fusion of Seismic Reflection, Magnetotelluric, Magnetic, and Gravity Images: Example from Santos Basin, Offshore Brazil. Geophysics, 77, B237-B251.
http://dx.doi.org/10.1190/geo2011-0394.1

[11]   Zhdanov, M.S., Gribenko, A. and Wilson, G. (2012) Generalized Joint Inversion of Multimodal Geophysical Data Using Gramian Constraints. Geophysical Research Letters, 39, Article ID: L09301.
http://dx.doi.org/10.1029/2012GL051233

[12]   Shamsipour, P., Marcotte, D. and Chouteau, M. (2012) 3D Stochastic Joint Inversion of Gravity and Magnetic Data. Journal of Applied Geophysics, 79, 27-37.
http://dx.doi.org/10.1016/j.jappgeo.2011.12.012

[13]   Haber, E. and Oldenburg, D.W. (1997) Joint Inversion: A Structural Approach, Inverse Problems, 13, 63-77. http://dx.doi.org/10.1088/0266-5611/13/1/006

[14]   Li, Y. and Oldenburg, D.W. (1996) 3-D Inversion of Magnetic Data. Geophysics, 61, 394-408.
http://dx.doi.org/10.1190/1.1443968

 
 
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