Abstract
A maximum smoothness stabilizing functional constraint is normally used to stabilize the three-dimensional (3D) direct current (DC) resistivity and induce polarization (IP) data inversions process. These kinds of algorithms can converge stably, but the obtained solution is a smooth image, which in many practical situations does not describe the examined object properly. In this paper, we present a regularized inversion with image focusing of 3D DC resistivity and IP data. In the inversion approach, the minimum support functional constraint is incorporated into the objective functional, then the damped Gauss-Newton method is used to find the optimization of the objective function, and the preconditioned conjugate gradient algorithm is used to calculate the model updates. The model tests show that the proposed inversion approach owns good reliability and stability. The comparisons show that the program helps to generate more focused and resolved images of blocky geoelectrical structures and with better convergence than the traditional smoothing inversion approach.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
O. Portniaguine, and M. S. Zhdanov, Focusing geophysical inversion images, Geophysics, 64, pp. 874–887, 1999.
O. Portniaguine, and M. S. Zhdanov, 3D magnetic inversion with data compression and image focusing, Geophysics, 67(5), pp. 1532–1541, 2002.
M. S. Zhdanov, R. Ellis, and S. Mukherjee, Three-dimensional regularized focusing inversion of gravity gradient tensor data, Geophysics, 69, pp. 925–937, 2004.
C. DeGroot-Hedlin, and S. Constable, Inversion of magnetotelluric data for 2D structure with sharp resistivity contrasts, Geophysics, 69, pp. 78–86, 2004.
K. Yoshioka, and M. S. Zhdanov, Three-dimensional nonlinear regularized inversion of the induced polarization data based on the Cole-Cole model, Physics of the Earth and Planetary Interiors, 150, pp. 29–43, 2005.
R. Blaschek, A. Hördt, and A. Kemna, A new sensitivity-controlled focusing regularization scheme for the inversion of induced polarization data based on the minimum gradient support, Geophysics, 73(2), pp. F45–F54, 2008.
Y. Chen, T. Li, C. Fan, B. Xu, Y. Sun, The 3D focusing inversion of full tensor gravity gradient data based on conjugate gradient, Progress in geophysics (in Chinese), 29(3), pp. 1133–1142, 2014.
M. S. Zhdanov, Geophysical inverse theory and regularization problems, Elsevier Science, 2002.
A. N. Tikhonov, and V. Y. Arsenin, Solution of ill-posed problems, V. H. Winston and Sons, 1977.
A. Pidlisecky, E. Haber, and R. Knight, RESINVM3D: A 3D resistivity inversion package, Geophysics, 72(2), pp. H1–H10, 2007.
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 41204055, 41304054, 41304055, 41104074) and the Natural Science Foundation of Jiangxi province (20161BAB211027).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Ye, Y., Zhang, Z., Li, Z., Zhao, Y. (2017). Three-Dimensional Resistivity and Induced Polarization Data Inversion with Image Focusing. In: Di, Q., Xue, G., Xia, J. (eds) Technology and Application of Environmental and Engineering Geophysics. Springer Geophysics. Springer, Singapore. https://doi.org/10.1007/978-981-10-3244-8_13
Download citation
DOI: https://doi.org/10.1007/978-981-10-3244-8_13
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-3243-1
Online ISBN: 978-981-10-3244-8
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)