Reliable Euler deconvolution solutions of gravity data throughout the β-VDR and THGED methods: Application to mineral exploration and geological structural mapping

Luan Thanh Pham; Saulo Pomponet Oliveira; Minh Le-Huy; Dat Viet Nguyen; Trang Quynh Nguyen-Dang; Than Duc Do; Kha Van Tran; Hong- Duyen Thi Nguyen; To- Nhu Thi Ngo; Hung Quang Pham

doi:10.15625/2615-9783/21009

Author affiliations

Authors

Luan Thanh Pham University of Science, Vietnam National University, Hanoi, Vietnam
Saulo Pomponet Oliveira Department of Mathematics and Graduate Program in Geology, Federal University of Parana', Curitiba, PR, Brazil
Minh Le-Huy Institute of Geophysics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
Dat Viet Nguyen University of Science, Vietnam National University, Hanoi, Vietnam
Trang Quynh Nguyen-Dang University of Science, Vietnam National University, Hanoi, Vietnam
Thanh Duc Do University of Science, Vietnam National University, Hanoi, Vietnam
Kha Van Tran Institute of Marine Geology and Geophysics, Vietnam Academy of Science and Technology, Hanoi, Vietnam
Hong-Duyen Thi Nguyen University of Science, Vietnam National University, Hanoi, Vietnam
To-Nhu Thi Ngo University of Science, Vietnam National University, Hanoi, Vietnam
Hung Quang Pham 1-Geophysics Department, Hanoi University of Mining and Geology, Hanoi, Vietnam; 2-Union of Geophysics, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/2615-9783/21009

Keywords:

Edge detection, stable finite difference, gravity data, Euler deconvolution

Abstract

Euler deconvolution (ED) is mainly used to estimate the locations and depths of magnetic bodies. This technique can also be applied to gravity anomalies but requires caution, as Euler solutions directly obtained from gravity anomalies may provide misleading results. In addition, the traditional Euler deconvolution generates many spurious solutions and is noise-sensitive. This research presents an improved method for the ED of gravity anomalies. This method is based on a finite-difference method (β-VDR) that provides robust vertical derivatives of gravity anomalies, and the total horizontal gradient-based edge detection method (THGED) used to select the Euler solutions, filtering out spurious solutions. Our method is exemplified with two synthetic gravity models and two real datasets from the Voisey's Bay deposit (Canada) and the Hanoi basin (Vietnam). The advantage of the proposed method is that it can provide the depths more accurately and is less sensitive to noise than some modified ED methods.

Downloads

Download data is not yet available.

References

Alamdar K., Kamkare-Rouhani A., Ansari A.H., 2015. Interpretation of the magnetic data from anomaly 2c of Soork iron ore using the combination of the Euler deconvolution and TDX filter. Arab J. Geosci., 8, 6021–6035.

Alvandi A., Ardestani V.E., 2023. Edge detection of potential field anomalies using the Gompertz function as a high-resolution edge enhancement filter. Bull. Geophys. Oceanogr., 64(3), 279–300.

Alvandi A., Ghanati R., 2023. Using magnetic data for estimating the location of lateral boundaries and the depth of the shallow salt dome of Aji-Chai, East Azerbaijan Province, Iran. Int. J. Min. Geo-Eng., 57(3), 251–258.

Alvandi A., Su K., Ai H., Ardestani V.E., Lyu C., 2023. Enhancement of Potential Field Source Boundaries Using the Hyperbolic Domain (Gudermannian Function). Minerals, 13, 1312.

Aprina P.U., Santoso D., Alawiyah S., Prasetyo N., Ibrahim K., 2024. Delineating geological structure utilizing integration of remote sensing and gravity data: a study from Halmahera, North Molucca, Indonesia. Vietnam J. Earth Sci., 46(2), 147–68.

Barbosa V.C.F., Silva J.B.C., Medeiros W.E., 1999. Stability analysis and improvement of structural index estimation in Euler deconvolution. Geophysics, 64(1), 48–60.

Beiki M., 2010. Analytic signals of gravity gradient tensor and their application to estimate source location. Geophysics, 75(6), I59–174.

Blakely R., Simpson R., 1986. Approximating edges of source bodies from magnetic or gravity anomalies. Geophysics, 51(7), 1494–1498.

Catalán M., Martín Davila J., 2003. A magnetic anomaly study offshore the Canary Archipelago. Mar. Geophys. Res., 24(1), 129–148.

Castro F.R., Oliveira S.P., de Souza J., Ferreira F.J.F., 2018. Combining tilt derivative filters: New approaches to enhance magnetic anomalies. Rev. Bras. Geofis., 36(3), 335–343.

Castro F.R., Oliveira S.P., de Souza J., Ferreira F.J.F., 2020. Constraining Euler deconvolution solutions through combined tilt derivative filters. Pure Appl. Geophys., 177(10), 4883–4895.

Chen Q., Dong Y., Cheng S., Han L., Xu H., Chen H., 2014. Interpretation of fault system in the Tana Sag, Kenya, using edge recognition techniques and Euler deconvolution. J. Appl. Geophys., 109, 150–161.

Cooper G.R.J., 2004. Euler deconvolution applied to potential field gradients. Explor. Geophys., 35(3), 165–170.

Cordell L., 1979. Gravimetric expression of graben faulting in Santa Fe Country and the Espanola Basin. In 30th Field Conference New Mexico. New Mexico Geological Society Guidebook; New Mexico Geological Society: Socorro, NM, USA, 59–64.

Ekinci Y.L., Balkaya Ç., Şeren A., Kaya M.A., Lightfoot C.S., 2014. Geomagnetic and geoelectrical prospection for buried archaeological remains on the Upper City of Amorium, a Byzantine city in midwestern Turkey. J. Geophys. Eng., 11(1), 015012.

Ekinci Y.L., Ertekin C., 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). J Geophys. Eng., 10(3), 035005.

Ekinci Y.L., Yiğitbaş E., 2012. A geophysical approach to the igneous rocks in the Biga Peninsula (NW Turkey) based on airborne magnetic anomalies: Geological implications. Geodin. Acta, 25, 267–285.

Ekinci Y.L., Yiğitbaş E., 2015. Interpretation of gravity anomalies to delineate some structural features of Biga and Gelibolu peninsulas, and their surroundings (northwest Turkey). Geodin. Acta, 27(4), 300–319.

El Gout R., Khattach D., Houari M.R., Kaufmann O., Aqil H., 2010. Main structural lineaments of north-eastern Morocco derived from gravity and aeromagnetic data. J. Afr. Earth Sci., 58(2), 255–271.

EL Badrawy H.T., Araffa S.A.S., Gabr A.F., 2021. Application of the multi-potential geophysical techniques for groundwater evaluation in a part of Central Sinai Peninsula, Egypt. Acta Geodyn. Geomater, 18(1), 61–70.

Fairhead J.D., Bennett K.J., Gordon D.R.H., Huang D., 1994. Euler: Beyond the "black box". In 64th Annual International Meeting. Expanded Abstracts. SEG, 422–424.

Farquharson C.G., M.R Ash., H.G. Miller., 2008. Geologically constrained gravity inversion for the Voisey's Bay ovoid deposit. The Lead. Edge, 27(1), 64–69.

Florio G., Fedi M., Pašteka R., 2006. On the application of Euler deconvolution to the analytic signal. Geophysics, 71(6), L87SEGL93.

Ganguli S.S., Pal S.K., Sundaralingam K., Kumar P., 2021. Insights into the crustal architecture from the analysis of gravity and magnetic data across Salem-Attur Shear Zone (SASZ), Southern Granulite Terrane (SGT), India: an evidence of accretional tectonics. Episodes, 44, 419SEG442.

Huang L., Zhang H., Li C.F., Feng J., 2022. Ratio‐Euler deconvolution and its applications. Geophys. Prospect., 70(6), 1016–1032.

Huminicki M.A.E., P.J. Sylvester, R. Lastra, L.J. Cabri D., Evans-Lamswood D., D.H.C. Wilton, 2008. First report of platinum-group minerals from a hornblende gabbro dyke in the vicinity of the Southeast Extension Zone of the Voisey's Bay Ni-Cu-Co deposit, Labrador. Mineral. Petrol., 92(1–2), 129–164.

Jekeli C., 2009. On methods to select solutions in Euler deconvolution of gravitation and gradient measurements: Stud. Geophys. Geod., 53, 443–457.

Jorge V.T., Oliveira S.P., Pham L.T., Duong V.H.A., 2023. balanced edge detector for aeromagnetic data. Vietnam J. Earth Sci., 45(3), 326–37.

Kafadar O., Oksum E., 2024. Enhanced dip angle map using Kuwahara and Gaussian filters: an example from Burdur region, Türkiye. Turk. J. Earth Sci., 33(4), 395-406.

Kamto P.G., Oksum E., Pham L.T., Kamguia J., 2023. Contribution of advanced edge detection filters for the structural mapping of the Douala Sedimentary Basin along the Gulf of Guinea. Vietnam J. Earth Sci., 45(3), 287–302.

King A., 2007. Review of Geophysical Technology for Ni.-. Cu.-. PGE. deposits, in "Proceedings of Exploration 07: Fifth Decennial International Conference on Mineral Exploration" edited by B. Milkereit, 647–665.

Koszowska E., Wolska A., Zuchiewicz W., Cuong N.Q., Pecskay Z., 2007. Crustal contamination of Late Neogene basalts in the Dien Bien Phu Basin, NW Vietnam: some insights from petrological and geochronological studies. J. Asian Earth Sci., 29(1), 1–17.

Kumar U., Pal S.K., Sahoo S.D., Narayan S., Saurabh Mondal S., Ganguli S.S., 2018. Lineament mapping over Sir Creek offshore and its surroundings using high resolution EGM2008 Gravity data: an integrated derivative approach. J. Geol Soc India., 91, 671–678.

Kumar U., Narayan S., Pal S.K., 2020. Structural and tectonic interpretation of EGM2008 gravity data around the Laccadive ridge in the Western Indian Ocean: an implication to continental crust. Geocarto Int., 37(11), 3179–3198.

Kumar U., Narayan S., Pal S.K., 2022. Structural and tectonic interpretation of EGM2008 gravity data around the Laccadive ridge in the Western Indian Ocean: an implication to continental crust. Geocarto Int., 37(11), 3179–3198.

Lelievre P.G., C.G. Farquharson, C.A. Hurich, 2012. Joint inversion of seismic traveltimes and gravity data on unstructured grids with application to mineral exploration. Geophysics, 77(1), K1–K15.

Li C., Naldrett A.J., 1999. Geology and petrology of the Voisey's Bay intrusion: reaction of olivine with sulfide and silicate liquids. Lithos, 47(1-2), 1–31.

Marson I., Klingele E.E., 1993. Advantages of using the vertical gradient of gravity for 3-D interpretation. Geophysics, 58(11), 1588–1595.

Melo F.F., Barbosa V.C.F., 2020. Reliable Euler deconvolution estimates throughout the vertical derivatives of the total-field anomaly. Comput Geosc., 138, 104436.

Melouah O., Ebong E.D., Abdelrahman K., Eldosouky A.M., 2023. Lithospheric structural dynamics and geothermal modeling of the Western Arabian Shield. Sci. Rep., 13, 11764.

Narayan, S., Sahoo S.D., Pal S.K., Kumar U., Pathak V.K., Majumdar T.J., Chouhan A., 2016. Delineation of structural features over a part of the Bay of Bengal using total and balanced horizontal derivative techniques. Geocarto Int., 32, 351–366.

Narayan S., Kumar U., Pal S.K., Sahoo S.D., 2021. New insights into the structural and tectonic settings of the Bay of Bengal using high-resolution earth gravity model data. Acta Geophys., 69, 2011–2033.

Nasuti Y., Nasuti A., Moghadas D. 2019. STDR: a novel approach for enhancing and edge detection of potential field data. Pure Appl. Geophys., 176(2), 827–841.

Oliveira S.P., Pham L.T., 2022. A stable finite difference method based on upward continuation to evaluate vertical derivatives of potential field data. Pure Appl. Geophys., 179(12), 4555–4566.

Oliveira S.P., Bongiolo A.deB.eS., Pham L.T., DE Castro L.G., Jorge V.T., 2023. On the practical implementation of the enhanced horizontal derivative filter for potential field data. Contrib. Geophys. Geod., 53(4), 319–331.

Pal S.K., Majumdar T.J., Pathak V.K., Narayan S., Kumar U., Goswami O.P., 2016a. Utilization of high-resolution EGM2008 gravity data for geological exploration over the Singhbhum-Orissa Craton, India. Geocarto Int., 31(7), 783–802.

Pal S.K., Narayan S., Majumdar T.J., Kumar U., 2016b. Structural mapping over the 85°E Ridge and surroundings using EIGEN6C4 high resolution global combined gravity field model: an integrated approach. Mar. Geophys. Res., 37(3), 159–184.

Paoletti V., Fedi M., Florio G., Supper R., Rapolla A., 2004. The new integrated aeromagnetic map of the Phlegrean Fields volcano and surrounding areas. Ann. Geophys., 47(5), 1569–1580.

Pašteka R., Richter P., 2005. Improvement of the Euler deconvolution algorithm by means of the introduction of regularized derivatives. Contrib. Geophys. Geod., 35(1), 1–18.

Pašteka R., Kušnirák D., 2020. Role of Euler Deconvolution in Near Surface Gravity and Magnetic Applications. In: Biswas A, Sharma SP, editors. Advances in Modeling and Interpretation in Near Surface Geophysics. Cham: Springer, 223–262.

Phach P.V., Lai V.C., Shakirov R.B., Le D.A., Tung D.X., 2020. Tectonic activities and evolution of the Red River Delta (North Viet Nam) in the Holocene. Geotecton, 54(1), 113–129.

Pham L.T., Kafadar O., Oksum E., Hoang Minh T., 2021. A comparative study on the peak detection methods used to interpret potential field data: a case study from Vietnam, Geocarto Int., 37(13), 3679–3696.

Pham L.T., 2023. A novel approach for enhancing potential fields: application to aeromagnetic data of the Tuangiao, Vietnam. Eur., Phys., J. Plus, 138(12), 1134.

Pham L.T., 2024a. An improved edge detector for interpreting potential field data. Earth Sci., Inform, 17, 2763–2774.

Pham L.T., 2024b. A stable method for detecting the edges of potential field sources. IEEE Trans. Geosci., Remote Sens., 62, 5912107.

Pham L.T., 2024c. Mapping the structural configuration of the northern part of the Central Indian Ridge from satellite gravity data using derivatives of the horizontal gradient. Advances in Space Research. https://doi.org/10.1016/j.asr.2024.05.054.

Pham L.T., Prasad K.N.D., 2023. Analysis of gravity data for extracting structural features of the northern region of the Central Indian Ridge. Vietnam J. Earth Sci., 45(2),147–63.

Pham L.T., Oliveira S.P., Abdelrahman K., Gomez-Ortiz D., Nguyen D.V., Vo Q.T., Eldosouky A.M., 2024a. Selection of Euler deconvolution solutions using the enhanced horizontal gradient and stable vertical differentiation. Open Geosci., 16(1), 20220637.

Pham L.T., Duong H.V., Kieu Duy T., Oliveira S.P., Lai G.M., Bui T.M., Oksum E., 2024b. An effective edge detection technique for subsurface structural mapping from potential field data. Acta Geophys., 72, 1661–1674.

Reid A.B., Allsop J.M., Granser H., Millett A.J., Somerton I.W., 1990. Magnetic interpretation in three dimensions using Euler deconvolution. Geophysics, 55(1), 80–91.

Reid A.B., FitzGerald D., McInerny P., 2003. Euler deconvolution of gravity data. SEG Technical Program Expanded Abstracts, 80–583.

Reid A.B., Ebbing J., Webb S.J., 2014. Avoidable Euler errors - the use and abuse of Euler deconvolution applied to potential fields. Geophys. Prospect., 62(5), 1162–1168.

Roest W.R.J., Verhoef J., Pilkington M., 1992. Magnetic interpretation using the 3-D analytic signal. Geophysics, 57(1), 116–125.

Ruppel A., Jacobs J., Eagles G., Läufer A., Jokat W., 2018. New geophysical data from a key region in East Antarctica: Estimates for the spatial extent of the Tonian Oceanic Arc Super Terrane (TOAST). Gondwana Res., 59, 97–107.

Saadi N.M., Aboud E., Saibi H., Watanabe K., 2008. Integrating data from remote sensing, geology and gravity for geological investigation in the Tarhunah area, Northwest Libya, Int. J. Digit. Earth, 1(4), 347–366.

Sahoo S., Narayan S., Pal S.K., 2022a. Fractal analysis of lineaments using CryoSat-2 and Jason-1 satellite-derived gravity data: Evidence of a uniform tectonic activity over the middle part of the Central Indian Ridge. Phys. Chem. Earth, 128, 103237.

Sahoo S., Narayan S., Pal S.K., 2022b. Appraisal of gravity-based lineaments around Central Indian Ridge (CIR) in different geological periods: Evidence of frequent ridge jumps in the southern block of CIR. J. Asian Earth Sci., 239, 105393.

Son V.T., Minh L.H., Hung L.V., 2005. Determining the horizontal position and depth of the density discontinuities in the Red Revier Delta by using the vertical derivative and Euler deconvolution for the gravity anomaly data. Geol. J., 287, 39–52 (in Vietnamese).

Thompson D.T., 1982. EULDPH: A new technique for making computer-assisted depth estimates from magnetic data. Geophysics, 47(1), 31–37.

Wilton D.H.C., G.M. Thompson, D., Evans Lamswood, 2021. MLA-SEM Characterization of Sulphide Weathering, Erosion, and Transport at the Voisey's Bay Orthomagmatic Ni-Cu-Co Sulphide Mineralization, Labrador, Canada. Minerals, 11, 1224.

Zhang C., Mushayandebvu M.F., Reid A.B., Fairhead J.D., Odegard M.E., 2000. Euler deconvolution of gravity tensor gradient data. Geophysics, 65, 512–520.

Zhang J., Zhao G., Shen W., Li S., Sun M., 2015. Aeromagnetic study of the Hengshan-WutaiFuping region: Unraveling a crustal profile of the Paleoproterozoic Trans-North China Orogen. Tectonophysics, 662, 208–218.