Abstract
Airborne gravity gradient data contain additional short-wavelength information about the buried geological bodies. This study develops a fast interpretation method based on the gravity gradient data for the sources’ spatial location and physical property parameters. This study analyzes the advantages of the source parameter inversion method based on tensor invariants. It proposes a normalized fast-imaging method based on tensor invariants to quickly estimate the spatial location parameters of sources through the local maximum value position of the imaging results. First, the tensor invariant characteristics and the imaging method’s effect in a simple model are analyzed using a theoretical model. Second, to analyze the imaging method’s application eff ect in complex model conditions, the method’s applicability is quantitatively analyzed using the data added with noise, superimposed anomalies of adjacent sources, and anomalies of deep and shallow geological bodies. The theoretical model’s simulation results show that the model’s imaging results in this study have satisfactory performance on the spatial position estimation of the sources. Finally, the method is applied to the gravity anomaly data corresponding to the Humble salt dome. The imaging results can effectively estimate the distribution of the salt dome’s horizontal and depths, verifying the practicability of the method.
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References
Barnes, G., and Barraud, J., 2012, Imaging geologic surfaces by inverting gravity gradient data with depth horizons: Geophysics, 77(1), G1–G11.
Beiki, M., and Pedersen, L. B., 2011, Window constrained inversion of gravity gradient tensor data using dike and contact models: Geophysics, 76(6), I59–I72.
Cao, J. L., Qin, P. B., Hou, Z. L., 2019, Evaluating gravity gradient components based on a reweighted inversion method, Applied Geophysics, 16, 491–506.
Carlos, C., 2015, Interpreting the direction of the gravity gradient tensor eigenvectors: Their relation to curvature parameters of the gravity field: Geophysics, 81(3), G49–G57.
Chauhan, M. S., Fedi, M., Mrinal, K. S., 2018, Gravity inversion by the Multi-HOmogeneity Depth Estimation method for investigating salt domes and complex sources: Geophysical Prospecting, 66, 175–191.
Cooper, G., 2004, The stable downward continuation of potential field data: Exploration Geophysics, 35, 260–265.
Dai, C. L., Shum, C. K., Guo, J. Y., et al., 2016, Improved source parameter constraints for five undersea earthquakes from north component of GRACE gravity and gravity gradient change measurements: Earth and Planetary Science Letters, 443, 118–128.
Fedi, M., and Florio, G., 2011, Normalized downward continuation of potential fields within the quasi-harmonic region: Geophysical Prospecting, 59(6), 1087–100.
Florio, G., Fedi, M., 2018, Depth estimation from downward continuation: An entropy-based approach to Normalized Full Gradient: Geophysics, 83(3), J33–J42.
Geng, M. X., Huang, D. N., Yu, P., et al., 2016, Three-dimensional constrained inversion of full tensor gradiometer data based on cokriging method: Chinese Journal of Geophysics, 59(5), 1849–1860.
Geng, M. X., Welford, J. K., Farquharson, C. G., et al., 2020, 3D joint inversion of airborne gravity gradiometry and magnetic data using a probabilistic method: Geophysics, 223(1), 301–322.
Guo, L., Meng, X., and Shi, L., 2011, 3D correlation imaging of the vertical gradient of gravity data: Journal of Geophysics and Engineer, 8, 6–12.
Hou, Z. L., Huang, D. N., Wang, E. D., et al., 2019, 3D density inversion of gravity gradiometry data with a multilevel hybrid parallel algorithm: Applied Geophysics, 16, 141–152.
Karsli, H., and Bayrak, Y., 2010, Application of the normalized total gradient (NTG) method to calculate envelope of seismic reflection signals: Journal of Applied Geophysics, 71(2), 90–97.
Li, L. L., Huang D. N., and Han, L. G., 2014, Application of the normalized total horizontal derivative (NTHD) in the interpretation of potential field data: Chinese Journal of Geophysics, 57(12), 4123–4131.
Mataragio, J., and Kieley, J., 2009, Application of full tensor gradient invariants in detection of intrusion-hosted sulphide mineralization: implications for deposition mechanisms, First Break, 27(7), 95–98.
Mehrdad, S., Hamid, A., and Saeed, H. N., 2018, Structure of giant buried mud volcanoes in the South Caspian Basin: Enhanced seismic image and field gravity data by using normalized full gradient method: Interpretation, 2018, 6(4), 1N–Y5.
Nabighian, M. N., Ander, M. E., Grauch, V. J. S., 2005, Historical development of the gravity method in exploration: Geophysics, 70(6), 63–89.
Nettleton, L. L., 1976, Gravity and Magnetics in Oil Prospecting: McGraw-Hill Book Company Press, New York, 147–158.
Oruç, B., 2010, Depth estimation of simple causative sources from gravity gradient tensor invariants and vertical component: Pure and applied geophysics, 167(10), 1259–1272.
Oruc, B., Sertcelik, I., Kafadar, O., et al., 2013, Structural interpretation of the Erzurum Basin, eastern Turkey, using curvature gravity gradient tensor and gravity inversion of basement relief: Journal of Applied Geophysics, 88, 105–113.
Pasteka, R., Karcol, R., Kusnirak, D., et al., 2012, REGCONT: A Matlab based program for stable downward continuation of geophysical potential fields using Tikhonov regularization: Computers & Geosciences, 49, 278–289.
Pasteka, R., Kusnirak, D., and Karcol, R., 2018, Matlab tool REGCONT2: effective source depth estimation by means of Tikhonov’s regularized downwards continuation of potential fields: Contributions to Geophysics and Geodesy, 48(3), 231–254.
Pedersen, L., Rasmussen, T., 1990, The gradient tensor of potential field anomalies: Some implications on data collection and data processing of maps: Geophysics, 55(12), 1558–1566.
Rahimi, A., Naeeni, M. R., 2017, Source parameter estimation of Indian Ocean earthquake from observation of GRACE Gravity Gradient Tensor: Annals of Geophysics, 60(6), 1–13.
Sertcelik, I., Kafadar, O., 2012, Application of edge detection to potential field data using eigenvalue analysis of structure tensor: Journal of Applied Geophysics, 84, 127–136.
Uieda, L., Barbosa, V. C. F., 2012, Robust 3D gravity gradient inversion by planting anomalous densities: Geophysics, 77(4), G55–G66.
Xu, S. Z., Yang, J. Y., Yang, C., et al., 2007, The iteration method for downward continuation of a potential field from a horizontal plane: Geophysical Prospecting, 55, 883–889.
Zeng, H. L., Meng, X. H., Yao, C. L., et al., 2002, Detection of reservoirs from normalized full gradient of gravity anomalies and its application to Shengli oil field, east China: Geophysics, 67, 1138–1147.
Zhdanov, M. S., Liu, X., Wilson, G. A., et al., 2011, Potential field migration for rapid imaging of gravity gradiometry data: Geophysical Prospecting, 59(6), 1052–1071.
Zhou, W. N., 2015, Normalized full gradient of full tensor gravity gradient based on adaptive iterative Tikhonov regularization downward continuation: Journal of Applied Geophysics, 118, 75–83.
Zhou, W. N., Liu, C. Y., 2018, Depth from extreme points method for gravity gradient tensor data: Geophysical Prospecting, 66(2), 432–443.
Zhou, W.N., Zhang, C., and Zhang, D.L., 2021, Depth Estimation of Potential Field by Using a New Downward Continuation Based on the Continued Fraction in Space Domain: Earth and Space Science, 8, e2021EA001789.
Acknowledgments
This work was supported by National Key R&D Program of China (No. 2020YFE0201300), Natural Science Foundation of Jilin Province (No. 20210508033RQ), and Fundamental Research Funds for the Central Universities and Geological Survey Project (No. DD20190129). The authors also express their gratitude to the reviewers for their constructive comments. We also would like to thank the reviewers and editors for their valuable comments on this article.
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Zhou Shuai, associate professor, received a PhD degree from Jilin University, China, in 2017. He engaged in the processing and interpretation of gravity and magnetic data.
Jiao Jian, associate professor, received a PhD degree from Jilin University, China, in 2012. He engaged in the theory and application of airborne geophysics.
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Zhou, S., Wei, Y., Wu, Yg. et al. A fast imaging method for airborne gravity gradient data based on tensor invariants. Appl. Geophys. 19, 284–293 (2022). https://doi.org/10.1007/s11770-022-0971-1
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DOI: https://doi.org/10.1007/s11770-022-0971-1