Studying the theoretical basis and advantages and disadvantages of Logistic methods of the total horizontal Gradient
- Authors: Dat Viet Nguyen 1, Thong Duy Kieu 2, Long Ngoc Nguyen 1, 3, Quynh Thanh Vo 1, Toan Quoc Nguyen 1, Hang Thu Thi Nguyen 2, Xuan Thanh Thi Pham 4*
Affiliations:
1 University of Science, Vietnam National University, Hanoi, Vietnam
2 Hanoi University of Mining and Geology, Hanoi, Vietnam
3 Union of Geophysics, Hanoi, Vietnam
4 VNU School of Interdisciplinary Studies, Vietnam National University, Hanoi, Vietnam
- *Corresponding:This email address is being protected from spambots. You need JavaScript enabled to view it.
- Received: 19th-Oct-2023
- Revised: 4th-Jan-2024
- Accepted: 13th-Jan-2024
- Online: 1st-Feb-2024
- Section: Geomatics and Land Administration
Abstract:
Edge detection is one of the most important steps in interpretation of magnetic and gravity data. In magnetic and gravity maps, it is difficult to distinguish adjacent sources due to their field superposition. Many different techniques have been used to determine the edges of sources. These techniques are based on vertical or horizontal gradients of magnetic and gravity data or combinations of them, and the edges of the geological structures are determined by maximum, minimum, or zero values in the output maps. One of the most popular techniques is the total horizontal gradient which is based on horizontal gradients of magnetic and gravity data. The capability of the total horizontal gradient technique in mapping the boundaries of deep bodies is very limited when competing with large-amplitude shallow bodies. Some enhanced modifications of the total horizontal gradient technique have been introduced to improve the boundary estimation results. These techniques are based on logistic functions and derivatives of the total horizontal gradient. In this study, we aim to estimate the effectiveness of the logistic filters of the total horizontal gradient. To obtain optimum results, these filters were tested on synthetic gravity and magnetic data and real magnetic data from the Zhurihe region (China). The findings show that the logistic filters can provide more accurate and sharper boundaries without false source edges than the total horizontal gradient. These techniques can determine the edges of shallow and deep structures at the same time. These results demonstrate that the logistic filters are useful tools for the qualitative interpretation of potential field data.
Bhaskara, R. D., and Ramesh B. N. (1991). A rapid method for three-dimensional modeling of magnetic anomalies. Geophysics, 56(11), 1729-1737. 
Cordell, L., and Grauch, V. J. S. (1985). Mapping basement magnetization zones from aeromagnetic data in the San Juan Basin, New Mexico. In The utility of regional gravity and magnetic anomaly maps (pp. 181-197). Society of Exploration Geophysicists.
Ekinci, Y. L., Ertekin, C., and Yiğitbaş, E. (2013). On the effectiveness of directional derivative based filters on gravity anomalies for source edge approximation: synthetic simulations and a case study from the Aegean graben system (western Anatolia, Turkey). Journal of Geophysics and Engineering, 10(3), 035005.
Ekka, M. S., Sahoo, S. D., Pal, S. K., Singha Roy, P. N., and Mishra, O. P. (2022). Comparative analysis of the structural pattern over the Indian Ocean basins using EIGEN6C4 Bouguer gravity data. Geocarto International, 37(26), 14198-14226.
Eldosouky, A. M., Pham, L. T., Mohmed, H., and Pradhan, B. (2020). A comparative study of THG, AS, TA, Theta, TDX and LTHG techniques for improving source boundaries detection of magnetic data using synthetic models: A case study from G. Um Monqul, North Eastern Desert, Egypt. Journal of African earth sciences, 170, 103940.
Eldosouky, A. M., El-Qassas, R. A., Pour, A. B., Mohamed, H., and Sekandari, M. (2021). Integration of ASTER satellite imagery and 3D inversion of aeromagnetic data for deep mineral exploration. Advances in Space Research, 68(9), 3641-3662.
Eldosouky, A. M., Pham, L. T., and Henaish, A. (2022). High precision structural mapping using edge filters of potential field and remote sensing data: A case study from Wadi Umm Ghalqa area, South Eastern Desert, Egypt. The Egyptian Journal of Remote Sensing and Space Science, 25(2), 501-513.
Ghosh, G. (2016). Magnetic data interpretation for the source-edge locations in parts of the tectonically active transition zone of the
Narmada-Son Lineament in Central India. Pure and Applied Geophysics, 173, 555-571.
Ma, G., Liu, C., and Li, L. (2014). Balanced horizontal derivative of potential field data to recognize the edges and estimate location parameters of the source. Journal of Applied Geophysics, 108, 12-18.
Melouah, O., and Pham, L. T. (2021). An improved ILTHG method for edge enhancement of geological structures: application to gravity data from the Oued Righ valley. Journal of African earth sciences, 177, 104162.
Melouah, O., Eldosouky, A. M., and Ebong, E. D. (2021a). Crustal architecture, heat transfer modes and geothermal energy potentials of the Algerian Triassic provinces. Geothermics, 96, 102211.
Melouah, O., Steinmetz, R. L. L., and Ebong, E. D. (2021b). Deep crustal architecture of the eastern limit of the West African Craton: Ougarta Range and Western Algerian Sahara. Journal of African earth sciences, 183, 104321.
Oksum, E., Dolmaz, M. N., and Pham, L. T. (2019). Inverting gravity anomalies over the Burdur sedimentary basin, SW Turkey. Acta Geodaetica et Geophysica, 54, 445-460.
Pham, L. T., Oksum, E., and Do, T. D. (2018a). GCH_gravinv: A MATLAB-based program for inverting gravity anomalies over sedimentary basins. Computers and Geosciences, 120, 40-47.
Pham, L. T., Oksum, E., Do, T. D., and Huy, M. (2018b). New method for edges detection of magnetic sources using logistic function. Geofizicheskiy Zhurnal, 40(6), 127-135.
Pham, L. T., Oksum, E., Do, T. D., Le-Huy, M., Vu, M. D., and Nguyen, V. D. (2019a). LAS: A combination of the analytic signal amplitude and the generalised logistic function as a novel edge enhancement of magnetic data. Contributions to Geophysics and Geodesy, 49(4).
Pham, L. T., Oksum, E., and Do, T. D. (2019b). Edge enhancement of potential field data using the logistic function and the total horizontal gradient. Acta Geodaetica et Geophysica, 54, 143-155.
Pham, L. T., Van Vu, T., Le Thi, S., and Trinh, P. T. (2020). Enhancement of potential field source boundaries using an improved logistic filter. Pure and Applied Geophysics, 177, 5237-5249.
Pham, L. T., Eldosouky, A. M., Melouah, O., Abdelrahman, K., Alzahrani, H., Oliveira, S. P., and Andráš, P. (2021). Mapping subsurface structural lineaments using the edge filters of gravity data. Journal of King Saud University-Science, 33(8), 101594.
Pham, L. T., Nguyen Xuan, T., Eldosouky, A. M., Do, T. D., and Nguyen, T. Q. (2022a). The utility of the enhancement techniques for mapping subsurface structures from gravity data. Frontiers in Scientific Research and Technology, 3(1), 11-19.
Pham, L. T., Oksum, E., Kafadar, O., Trong, T. P., Viet, D. N., Thanh, Q. V., and Le Thi, S. (2022b). Determination of subsurface lineaments in the Hoang Sa islands using enhanced methods of gravity total horizontal gradient. Vietnam Journal of Earth Sciences, 44(3), 395-409.
Pham, L. T., Oksum, E., Eldosouky, A.M. (2023a). High precision subsurface structural mapping of the Trompsburg complex (South Africa) from gravity and magnetic data. Advances in Space Research, 71, 2348-2356.
Pham, L. T., Ghomsi, F. E. K., Vu, T. V., Oksum, E., Steffen, R., Tenzer, R. (2023b). Mapping the structural configuration of the western Gulf of Guinea using advanced gravity interpretation methods. Physics and Chemistry of the Earth, 129, 103341.
Pham, L. T., Van Duong, H., Kieu Duy, T. và nnk. (2023c). An effective edge detection technique for subsurface structural mapping from potential field data. Acta Geophys. https://doi.org/10.1007/s11600-023-01185-3
Trung, N. N., Van Kha, T., and Van Nam, B. (2022). Determination of vertical derivative of gravity anomalous by upward continuation and Taylor series transform methods: application to the Southwest sub-basin of the East Vietnam Sea. Vietnam Journal of Marine Science and Technology, 22(2), 1-10.
Rao, D. B., Prakash, M., and Babu, N. R. (1990). 3D and 2½ d modelling of gravity anomalies with variable density contrast. Geophysical prospecting, 38(4), 411-422.
Wijns, C., Perez, C., and Kowalczyk, P. (2005). Theta map: Edge detection in magnetic data. Geophysics, 70(4), L39-L43.
Yuan, Y., Gao, J.-Y., and Chen, L.-N. (2016). Advantages of horizontal directional Theta method to detect the edges of full tensor gravity gradient data. Journal of Applied Geophysics, 130, 53-61.
Zareie, V., and Moghadam, R. H. (2019). The application of theta method to potential field gradient tensor data for edge detection of complex geological structures. Pure and Applied Geophysics, 176, 4983-5001.
Zhou, S., Huang, D., and Jiao, J. (2017). Total horizontal derivatives of potential field three-dimensional structure tensor and their application to detect source edges. Acta Geodaetica et Geophysica, 52, 317-329.
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