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Development of Sudan gravity field by combining local and global data

  • 3rd CAJG 2020
  • Published:
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Abstract

The legacy of Sudan gravity data was extensively collected over 15 years for oil exploration after small-scale gravity campaigns designated for groundwater investigations. However, the acquired gravity data sets were very sparse due to the large area of the country (Sudan and South Sudan). This study conducts an intensive procedure to refine and reconstruct the local gravity grid by selecting an appropriate geopotential model (GGM) to fill the gaps of un-surveyed areas. The digital elevation model is used to smooth the terrestrial gravity and reduce the gross error using the cross-validation technique. The best-fit agreement utilizing the standard deviation (SD) between the tested GGMs and ground data varies from a model to another. Three models, namely EGM2008, EIGEN-6C4, and XGM2019e, have close agreements with the ground data (8.35 to 8.77 mGals), while GOCO05C yields 10.75 mGal. XGM2019e has the lowest SD detected at d/o 760, and the satellite altimetry data are used over the Red Sea marine area. Investigations, comparisons, and spectral analysis are demonstrated to select the most suitable geopotential model to improve the Sudan gravity field.

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References

  • Abbak RA, Erol B, Ustun A (2012) Comparison of the KTH and remove-compute-restore techniques to geoid modelling in a mountainous area. Comput Geosci 48:31–40. https://doi.org/10.1016/j.cageo.2012.05.019

    Article  Google Scholar 

  • Abdalla A (2009) Determination of a gravimetric geoid model of Sudan using the KTH method. Master’s thesis Royal Institute of Technology (KTH), Stockholm

  • Abdalla A, Elmahal A (2016) Augmentation of vertical accuracy of digital elevation models using Gaussian linear convolution filter. In: 2016 conference of basic sciences and engineering studies (SGCAC). https://doi.org/10.1109/SGCAC.2016.7458031, pp 206–210

  • Abdalla A, Fairhead D (2011) A new gravimetric geoid model for Sudan using the KTH method. J Afr Earth Sci 60(4):213–221. https://doi.org/10.1016/j.jafrearsci.2011.02.012

    Article  Google Scholar 

  • Abdalla A, Green C (2016) Utilisation of Fast Fourier Transform and Least-squares Modification of Stokes formula to compile a gravimetric geoid model over Khartoum State: Sudan. Arab J Geosci 9(3):236. https://doi.org/10.1007/s12517-015-2117-8

    Article  Google Scholar 

  • Abdalla A, Mogren S (2015) Implementation of a rigorous least-squares modification of Stokes formula to compute a gravimetric geoid model over Saudi Arabia (SAGEO13). Can J Earth Sci 50(10):823–832. https://doi.org/10.1139/cjes-2014-0192

    Article  Google Scholar 

  • Abdalla A, Denker H, Müller J (2018) A Combined optimisation of local and global gravimetric data to improve geoid modelling in Sudan. In: Presented at the 2008 general assembly of the european geosciences union, vol 20

  • Ali AO (2011) A Geophysical Study of the East Nile Rift Basin – Sudan. MSc Thesis, University of Khartoum

  • Ali HO (1986) Gravity and seismic refraction measurements for deep groundwater search in southern Darfur region. Sudan J Univ Kuwait (Sci) 13(2):245–258

    Google Scholar 

  • Ali HO, Whiteley RJ (1981) Gravity exploration for groundwater in the Bara basin. Sudan Geoexploration 19(2):127–141. https://doi.org/10.1016/0016-7142(81)90025-9

    Article  Google Scholar 

  • Andersen OB, Knudsen P (2020) The DTU17 Global Marine Gravity Field: First Validation Results. In: Mertikas SP, Pail R (eds) Fiducial reference measurements for altimetry. Springer International Publishing, Cham, pp 83–87

  • Browne SE (1984) Gravity studies in the Sudan: A tectonic interpretation of some rifted sedimentary basins. PhD Thesis, University of Leeds

  • Claessens SJ, Hirt C, Amos MJ, Featherstone WE, Kirby JF (2009) Computation of a new gravimetric quasigeoid model for new zealand. Technical report prepared for land information New Zealand by western Australia centre for geodesy, Western Australia Centre for Geodesy Curtin University, Perth

  • Earthdata W (2021) Earth data website. https://earthdata.nasa.gov/. Accessed 15 June 2021

  • Ellmann A (2005) Computation of three stochastic modifications of Stokes’s formula for regional geoid determination. Comput Geosci 1(6):742–755. https://doi.org/10.1016/j.cageo.2005.01.008

    Article  Google Scholar 

  • Fairhead D (1988) African Gravity Project 1986-1988. Technical Report, compiled by the University of Leeds, UK

  • Fashir HH, Kadir MA (2000) The sudanese gravimetric geoid 1998: Stokesian Approach. IGeS Bullet 10:59–77

    Google Scholar 

  • Fecher T, Pail R, Gruber T, Schuh WD, Kusche J, Brockmann JM, Loth I, Müller S, Eicker A, Schall J, Mayer-Gürr T, Kvas A, Klinger B, Rieser D, Zehentner N, Baur O, Höck E, Krauss S, Jäggi A, Meyer U, Prange L, Maier A (2017) The GOCO Consortium, University of Bonn IoGaG, Graz University of Technology IoG, Austrian Academy of Sciences SRI, University of Bern AI GOCO05c: A new combined gravity field model based on full normal equations and regionally varying weighting. Surv Geophys 38(3):571–590. https://doi.org/10.1007/s10712-016-9406-y

    Article  Google Scholar 

  • Förste C, Bruinsma S, Abrikosov O, Flechtner F, Marty JC, Lemoine JM, Dahle C, Neumayer H, Barthelmes F, König R, Biancale R (2014) EIGEN-6C4 - The latest combined global gravity field model including GOCE data up to degree and order 1949 of GFZ Potsdam and GRGS Toulouse. 16:3707. https://doi.org/10.5880/icgem.2015.1

  • Gadelmula A (1971) A Geophysical Survey of the Jebel Aulia Region and a Study of the Fault Solutions of Gravitational Anomalies. MSc Thesis, University of Khartoum

  • Godah W, Krynski J (2016) A new gravimetric geoid model for the area of sudan using the least squares collocation and a GOCE-based GGM. In: Jin S, Barzaghi R (eds) IGFS 2014. Springer International Publishing, Cham, International Association of Geodesy Symposia, pp 123–129. https://doi.org/10.1007/1345_2015_196

  • Grombein T, Seitz K, Heck B (2014) Topographic–isostatic reduction of GOCE gravity gradients. In: Rizos C, Willis P (eds) Earth on the edge: Science for a sustainable planet. International Association of Geodesy Symposia, https://doi.org/10.1007/978-3-642-37222-3_46. Springer, Berlin, pp 349–356

  • Heiskanen W, Moritz H (1967) Physical Geodesy. Series of books in geology, WH Freeman, San Francisco

  • Hunting G (1968) Water Survey and Development Project in Darfur Province. Report No.1, Preliminary Appraisal Annexures to NW

  • Ibrahim AE (1993) Interpretation of Gravity and Magnetic data from the Central African Rift System, Sudan. PhD Thesis, University of University of Leeds

  • JPL N (2013) NASA shuttle radar topography mission Global 1 arc second. https://doi.org/10.5067/MEASURES/SRTM/SRTMGL1.003

  • Kiamehr R (2007) Qualification and refinement of the gravity database based on cross-validation approach - A case study of Iran, vol 42

  • Nicod MA (1984) Oil and gas developments in North Africa in 1983. AAPG Bull 68(10):1493–1522. https://doi.org/10.1306/C1EA4761-16C9-11D7-8645000102C1865D

    Google Scholar 

  • Pavlis NK, Holmes SA, Kenyon SC, Factor JK (2012) The development and evaluation of the Earth Gravitational Model 2008 (EGM2008). J Geophys Res Solid Earth 117(B4):B04,406. https://doi.org/10.1029/2011JB008916

    Article  Google Scholar 

  • Rapp RH, Pavlis NK (1990) The development and analysis of geopotential coefficient models to spherical harmonic degree 360. J Geophys Res Solid Earth 95(B13):21,885–21,911. https://doi.org/10.1029/JB095iB13p21885

    Article  Google Scholar 

  • Reguzzoni M, Carrion D, De Gaetani CI, Albertella A, Rossi L, Sona G, Batsukh K, Toro Herrera JF, Elger K, Barzaghi R, Sansó F (2021) Open access to regional geoid models: the International Service for the Geoid. Earth Syst Sci Data 13(4):1653–1666. https://doi.org/10.5194/essd-13-1653-2021, publisher: Copernicus GmbH

    Article  Google Scholar 

  • Shako R, Förste C, Abrikosov O, Bruinsma S, Marty JC, Lemoine JM, Flechtner F, Neumayer H, Dahle C (2014) EIGEN-6C: A high-resolution global gravity combination model including GOCE data. In: Flechtner F, Sneeuw N, Schuh WD (eds) Observation of the system earth from space - CHAMP, GRACE, GOCE and future missions: GEOTECHNOLOGIEN Science Report No. 20, Advanced Technologies in Earth Sciences. https://doi.org/10.1007/978-3-642-32135-1_20. Springer, Berlin, pp 155–161

  • Sjöberg LE, Bagherbandi M (2017) Applications and Comparisons of LSMSA and RCR. In: Sjöberg LE, Bagherbandi M (eds) Gravity inversion and integration: Theory and applications in geodesy and geophysics. https://doi.org/10.1007/978-3-319-50298-4_6. Springer International Publishing, Cham, pp 181–202

  • Sneeuw N (1994) Global spherical harmonic analysis by least-squares and numerical quadrature methods in historical perspective. Geophys J Int 118(3):707–716. https://doi.org/10.1111/j.1365-246X.1994.tb03995.x

    Article  Google Scholar 

  • Ustun A, Abbak RA (2010) On global and regional spectral evaluation of global geopotential models. J Geophys Eng (Online) 7(4):369–379. https://doi.org/10.1088/1742-2132/7/4/003

    Article  Google Scholar 

  • Zingerle P, Pail R, Gruber T, Oikonomidou X (2020) The combined global gravity field model XGM2019e. J Geodesy 94(7):66. https://doi.org/10.1007/s00190-020-01398-0

    Article  Google Scholar 

Download references

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Correspondence to Ahmed Abdalla.

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Responsible Editor: Longjun Dong

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This paper was selected from the 3rd Conference of the Arabian Journal of Geosciences (CAJG), Tunisia 2020

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Abdalla, A. Development of Sudan gravity field by combining local and global data. Arab J Geosci 14, 2115 (2021). https://doi.org/10.1007/s12517-021-08450-z

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