Enhancing potential fields using stable downward continuation and boundary filters: Application to the Central Highlands, Vietnam

Luan Pham Thanh; Saulo P. Oliveira; Long Duc Luu; Long Tuan Do

doi:10.15625/2615-9783/22702

Author affiliations

Authors

Luan Thanh Pham University of Science, Vietnam National University, Hanoi, Vietnam
Saulo P. Oliveira Department of Mathematics and Graduate Program in Geology, Federal University of Paraná, Curitiba, Brazil
Long Duc Luu University of Science, Vietnam National University, Hanoi, Vietnam
Long Tuan Do University of Science, Vietnam National University, Hanoi, Vietnam

DOI:

https://doi.org/10.15625/2615-9783/22702

Keywords:

Downward continuation, cubic Hermite interpolation, boundary filters, Central Highlands (Vietnam)

Abstract

The stable downward continuation method can enhance low amplitude anomalies and improve the resolution of potential fields. However, this method may be affected by the edge effect. In this paper, we improve the downward continuation results by using the cubic Hermite interpolation to extend data. Our synthetic model shows that the proposed extension can provide better estimates, especially at the edges, than using constant values. We further enhance downward continued data using boundary filters where the boundaries obtained from the downward continued data have a higher resolution. The methods are also applied to interpret RTP magnetic and Bouguer gravity anomalies of the Central Highlands (Vietnam), where the RTP magnetic data are determined from the multiple-stage RTP method, while the Bouguer gravity data are calculated using the Parker formula. The spectral analysis of potential fields reveals the depth of shallow sources in the area of about 1 km, which determines the height of the downward continuation. A new subsurface structural map is established for the Central Highlands from the filtered results of downward continued data, which will be a helpful document for detailed future explorations and geology studies of the area.

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References

Abdelrady M., Pham L.T., Mohamed A., Alarifi S.S., Duong V.H., Mohammed M.A.A., 2024. Application of the new edge filters of aeromagnetic data to detect the subsurface structural elements controlling the mineralization in the Barramiya area, Eastern Desert of Egypt. J. King Saud Univ. Sci., 36(11), 103539.

Ai H., Deniz Toktay H., Alvandi A., Pašteka R., Su K., Liu Q., 2024a. Advancing potential field data analysis: the modified horizontal gradient amplitude method (MHGA). Contrib Geophys Geodesy, 54(2), 119–143.

Ai H., Ekinci Y.L., Alvandi A., Deniz Toktay H., Balkaya Ç., Roy A., 2024b. Detecting edges of geologic sources from gravity or magnetic anomalies through a novel algorithm based on hyperbolic tangent function. Turk. J. Earth Sci., 33(6), 6.

Altınoğlu F.F., 2021. Structural interpretation of Buldan region in Western Anatolia by using magnetic and gravity data. ANAS Transactions Earth Sciences, 1, 47–55.

Altınoğlu F.F., 2023. Mapping of the Structural Lineaments and Sedimentary Basement Relief Using Gravity Data to Guide Mineral Exploration in the Denizli Basin. Minerals, 13(10), 1276.

Alvandi A., Ardestani V.E., Motavalli-Anbaran S.-H., 2024. Novel Detectors Based on the Elliott Function for Mapping Potential Field Data: Application to Aeromagnetic Data from Indiana, United States. Ann. Geoph., 67, 6.

Alvandi A., Ardestani V.E., Motavalli-Anbaran S.-H., 2025. Enhancement of the total horizontal gradient of potential field data using the Modified Gudermannian Function (MGTHG): application to aeromagnetic data from Georgia, USA. Bull. Geophys. Oceanogr., 66, 73–94.

Arisoy M.O., Dikmen U., 2011. Potensoft: MATLAB-based software for potential field data processing, modeling and mapping. Comput. Geosci., 37, 935–942.

Baranov W., 1975. Potential fields and their transformation in applied geophysics. Gebruder Borntraeger, Berlin-Stuttgart.

Beiki M., 2010. Analytic signals of gravity gradient tensor and their application to estimate source location. Geophysics, 75(6), I59–I74.

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.

Cooper G.R.J., Cowan D.R., 2006. Enhancing potential field data using filters based on the local phase. Comput. Geosci., 32(10), 1585–1591.

Cooper G.R.J., Cowan D.R., 2008. Edge enhancement of potential field data using normalized statistics. Geophysics, 73(3), H1–H4.

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.

Fedi M., Florio G., 2002. A stable downward continuation by using ISVD method. Geophys. J. Int., 151, 146–156.

Ferreira F.J.F., de Souza J., Bongiolo A.B.S., de Castro L.G., 2013. Enhancement of the total horizontal gradient of magnetic anomalies using the tilt angle. Geophysics, 78(3), J33–J41.

Hướng N.-V., Unkel I., Dương N.-T., Thái N.-Đình, Đỗ T.Q., Đặng X.T., Nguyễn T.H., Đinh X.T., Nguyễn T. Ánh N., Nguyễn H Q., Đào T.H.,

Nguyễn T.H.T., Phạm L.T.N., Lê L.A., Vũ V.H., Ojala A.E., Schimmelmann A., Sauer P., 2023. Paleoenvironmental potential of lacustrine sediments in the Central Highlands of Vietnam: a review on the state of research. Vietnam J. Earth Sci., 45(2), 164–182.

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., Lemotio W., Kamguia J., 2023. Structural mapping of the Goulfey-Tourba (West and Central African Rift) sedimentary basin using high-resolution gravity data. Earth Sci. Res. J., 239–249.

Liu J., Wang X., Suo Y., Li S., Zhou J., 2023. A robust high-resolution potential-field edge detection filter with its application in the Indo-China Peninsula. Tectonophysics, 868, 230109.

Ma G., Huang D., Liu C., 2016. Step-edge detection filters for the interpretation of potential field data. Pure Appl. Geophys., 173 (3), 795–803.

Miller H.G., Singh V., 1994. Potential field tilt a new concept for location of potential field sources. J. Appl. Geoph., 32, 213–217.

Nabighian M.N., 1972, The analytic signal of two-dimensional magnetic bodies with polygonal cross-section: Its properties and use of automated anomaly interpretation: Geophysics, 37, 507–517. Doi: 10.1190/ 1.1440276.

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.

Narayan S., Sahoo S.D., Pal S.K., Kumar U., 2023. Comparative evaluation of five global gravity models over a part of the Bay of Bengal. Advances in Space Research, 71(5), 2416–2436.

Narayan S., Kumar U., Sahoo S.D., Pal S.K., 2024. Appraisal of lineaments patterns and crustal architectures around the Owen fracture zone, Arabian Sea, using global gravity model data. Acta Geophys., 72, 29–48.

Nasuti Y., Nasuti A., 2018. NTilt as an improved enhanced tilt derivative filter for edge detection of potential field anomalies. Geoph. J. Int., 214(1), 36–45.

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.

Nong A.T., Hauzenberger C.A., Gallhofer D., Skrzypek E., Dinh S.Q., 2022. Geochemical and zircon U-Pb geochronological constraints on late Mesozoic Paleo-Pacific subduction-related volcanism in southern Vietnam. Miner Petrol, 116, 349–368.

Oksum E., 2021. Grav3CH_inv: A GUI-based MATLAB code for estimating the 3-D basement depth structure of sedimentary basins with vertical and horizontal density variation. Comput. Geosci., 155, 104856.

Oruç B., 2014. Structural interpretation of southern part of western Anatolian using analytic signal of the second order gravity gradients and discrete wavelet transform analysis. J. Appl. Geophys., 103, 82–98

Oruç B., Balkan E., 2023. Mapping crustal structure and deformation using gravity data in the Bursa Basin and surroundings, Türkiye. Turkish Journal of Earth Sciences, 32(7), 7.

Pašteka R., Karcol R., Kusnirak D., Mojzes A., 2012. REGCONT: a Matlab based program for stable downward continuation of geophysical potential fields using Tikhonov regularization. Comput. Geosci., 49, 278–289.

Phach P.V., Anh L.D., 2018. Tectonic evolution of the southern part of Central Viet Nam and the adjacent area. Geodyn. Tectonophys., 9(3), 801–825.

Pham L.T., Oksum E., Do T.D., Huy M.L., 2018. New method for edges detection of magnetic sources using logistic function. Geofizicheskiy Zhurnal, 40(6), 127–135.

Pham L.T., Van Duong H., Kieu Duy T., Oliveira S.P., Giau L.M., Thanh B.M., Oksum E., 2023. An effective edge detection technique for subsurface structural mapping from potential field data. Acta Geophys., 72, 1661–1674.

Pham L.T., Oliveira S.P., Le-Huy M., Nguyen D.V., Nguyen-Dang T.Q., Do T.D., Tran K.V., Nguyen H.-D.T., Ngo T.-N.T., Pham H.Q., 2024. Reliable Euler deconvolution solutions of gravity data throughout the β-VDR and THGED methods: application to mineral exploration and geological structural mapping. Vietnam J. Earth Sci., 46(3), 432–448.

Saada A.S., Eleraki M., Mansour A., Eldosouky A.M., 2025. Insights on the structural framework of the Egyptian Eastern Desert derived from edge detectors of gravity data. Interpretation, 13, T71–T85.

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.

Saibi H., Aboud E., Ehara S., 2012a. Analysis and Interpretation of gravity data from the Aluto-Langano geothermal field of Ethiopia. Acta Geophys., 60(2), 318–336.

Saibi H., Aboud E., Setyawan A., Ehara S., Nishijima J., 2012b. Gravity data analysis of Ungaran volcano, Indonesia. Arab. J. Geosci., 5(5), 1047–1054.

Sandwell D.T., Muller R.D., Smith W.H.F., Garcia E., Francis R., 2014. New global marine gravity model from CryoSat-2 and Jason-1 reveals buried tectonic structure. Science, 346(6205), 65–67.

Stewart I.C.F., 2019. A simple approximation for low-latitude magnetic reduction-tothe-pole. J. Appl. Geophys, 166, 57–67.

Tatchum C.N., Tabod C.T., Koumetio F., Manguelle-Dicoum E., 2011. A gravity model study for differentiating vertical and dipping geological contacts with application to a Bouguer gravity anomaly over the Foumban shear zone, Cameroon. Geophysica, 47(1–2), 43–55.

Tran K.V., Nguyen T.N., 2020. A novel method for computing the vertical gradients of the potential field: application to downward continuation. Geoph. J. Int., 220(2), 1316–1329.

Trompat H., Boschetti F., Hornby P., 2003. Improved downward continuation of potential field data. Explor. Geophys, 34(4), 249–256.

Viet L.T, Tung V.D., Chi V.C., Huong N.T.T., Luan N.V., Nam D.H, Quynh B.V., 2016. Characteristics of fracture zones in Southern Tay Nguyen. Vietnam J Earth Sci, 38(1), 22–37 (in Vietnamese).

Vu D.T., Bonvalot S., Bruinsma S., Bui L.K., 2021. A local lithospheric structure model for Vietnam derived from a high‑resolution gravimetric geoid. Earth Planets Space, 73, 92.

Wijns C., Perez C., Kowalczyk P., 2005. Theta map: Edge detection in magnetic data. Geophysics, 70, 39–43.

Xu S., Yang J., Yang C., Xiao P., Chen S., Guo Z., 2007. The iteration method for downward continuation of a potential field from a horizontal plane. Geophys. Prospect., 55, 883–889.

Zhang H., Ravat D., Hu X., 2013. An improved and stable downward continuation of potential field data: the truncated Taylor series iterative downward continuation method, Geophysics, 78(5), J75–J86.

Zhang C., Lu Q., Yan J., Qi G., 2018. Numerical solutions of the mean-value theorem: New methods for downward continuation of potential fields, Geophys. Res. Lett., 45, 3461–3470.

Zhang X., Yu P., Tang R., Xiang Y., Zhao C.J., 2015. Edge enhancement of potential field data using an enhanced tilt angle. Explor. Geophys., 46(3), 276–283.