Making the link between geological and geophysical uncertainty: Geodiversity in the Ashanti Greenstone Belt

Geophysical Journal International

Volumn 195, Issue 2, 2013, Pages 903-922

  Lindsay, Mark D ^a,b   Perrouty, Stéphane ^b   Jessell, Mark W ^b   Aillères, Laurent ^a  

^a MONASH UNIVERSITY   (Australia)

^b Environmental Research Observatory (ORE) HYBAM Centre IRD d'Ile de France   (France)

Author keywords

Africa; Gravity anomalies and earth structure; Image processing; Spatial analysis

Indexed keywords

AFRICA; CRITICAL ASSESSMENT; GEOLOGICAL MODELING; GEOLOGICAL MODELLING; GRAVITY ANOMALIES AND EARTH STRUCTURES; MULTI VARIATE ANALYSIS; NON-UNIQUE SOLUTIONS; SPATIAL ANALYSIS;

GEOPHYSICS; IMAGE PROCESSING; INPUT OUTPUT PROGRAMS;

UNCERTAINTY ANALYSIS;

EARTH STRUCTURE; GEODIVERSITY; GEOPHYSICS; GRAVITY ANOMALY; IMAGE PROCESSING; MULTIVARIATE ANALYSIS; NUMERICAL MODEL; SPATIAL ANALYSIS; UNCERTAINTY ANALYSIS;

ASHANTI BELT; GHANA;

EID: 84885796890     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1093/gji/ggt311     Document Type: Article

References (59)

1. Adadey, K., Clarke, B., Théveniaut, H., Urien, P., Delor, C., Roig, J.Y. & Feybesse, J.-L., 2009. Geological map explanation - Map sheet 0503 B (1:100 000), CGS/BRGM/Geoman, Geological Survey Department of Ghana (GSD). No MSSP/2005/GSD/5a.
2. Allibone, A.H., McCuaig, T.C., Harris, D., Etheridge, M.A., Munroe, S., Bryne, D., Amanor, J. & Gyapong, W., 2002. Structural controls on gold mineralization at the Ashanti gold deposit, Obuasi, Ghana, in Integrated Methods for Discovery: Global Exploration in the 21st Century, pp. 65-93, eds Goldfarb, R.J. & Neilson, R.L., Society of Economic Geologists.
3. Barritt, S.D. & Kuma, J.S., 1998. Constrained gravity models and structural evolution of the Ashanti Belt, southwest Ghana, J. Afr. Earth Sci., 26(4), 539-550.
4. Betts, P.G., Valenta, R.K. & Finlay, J., 2003. Evolution of the MountWoods Inlier, northern Gawler Craton, Southern Australia: an integrated structural and aeromagnetic analysis, Tectonophysics, 366(1-2), 83-111.
5. Blenkinsop, T., Schmidt, M., Kumi, R. & Sangmoor, S., 1994. Structural geology of the Ashanti Gold Mine, in Geologisches Jahrbuch D100, pp. 131-153, ed. Oberthür, T., E Schweizerbart Science Publishers.
6. Bond, C.E., Gibbs, A.D., Shipton, Z.K. & Jones, S., 2007. What do you think this is? "Conceptual uncertainty" in geoscience interpretation, GSA Today, 17(11), 4-10.
7. Bond, C.E., Philo, C. & Shipton, Z.K., 2011. When there isn't a right answer: interpretation and reasoning, key skills for twenty-first century geoscience, Int. J. Sci. Educ., 33(5), 629-652.
8. Calcagno, P., Chil'es, J.P., Courrioux, G. & Guillen, A., 2008. Geological modelling from field data and geological knowledge: part I. Modelling method coupling 3D potential-field interpolation and geological rules, Phys. Earth planet. Inter., 171(1-4), 147-157.
9. Cherpeau, N., Caumon, G. & Lévy, B., 2010. Stochastic simulations of fault networks in 3D structural modeling (Simulations stochastiques de réseaux de failles en modélisation structurale 3D), C. R. Geosci., 342(9), 687-694.
10. Chugunov, N., Shepelyov, G. & Sternin, M., 2008. Probabilistic methods for uncertainty quantification, in Encyclopedia of Decision Making and Decision Support Technologies, pp. 732-742, IGI Global.
11. Feybesse, J.-L., Billa, M., Guerrot, C., Duguey, E., Lescuyer, J.-L., Milesi, J.-P. & Bouchot, V., 2006. The paleoproterozoic Ghanaian province: geodynamic model and ore controls, including regional stress modeling, Precambrian Res., 149(3-4), 149-196.
12. Foudil-Bey, N., 2012. Développement d'outils d'interprétation de données géophysiques, PhD thesis, Université du Québec en Abitibi- Témiscamingue et Université de Lorraine.
13. Gao, Y. & Leung, M.K.H., 2002. Face recognition using line edge map, IEEE Trans. Pattern Anal. Mach. Intell., 24(6), 764-779.
14. Gershon, N., 1998. Visualization of an imperfect world, IEEE Comput. Graph. Appl., 18(4), 43-45.
15. Gonzalez, R.C., Woods, R.E. & Eddins, S.L., 2003. Digital Image Processing using MATLAB, Vol. 11, Prentice Hall.
16. Gray, A., Abbena, E. & Salamon, S., 2006. Modern Differential Geometry of Curves and Surfaces with Mathematica, Chapman & Hall/ CRC.
17. Hastings, D.A., 1982. On the tectonics and metallogenesis of West Africa: a model incorporating new geophysical data, Geoexploration, 20(3-4), 295-313, 317-327.
18. Hirdes,W. & Nunoo, B., 1994. The Proterozoic paleoplacers at Tarkwa Gold Mine, SW Ghana: sedimentology, mineralogy, and precise age dating of the main reef and west reef, and bearing of the investigations on source area aspects, Geologisches Jahrbuch, D100, 247-311.
19. Holstein, H., 2003. Gravimagnetic anomaly formulas for polyhedra of spatially linear media, Geophysics, 68(1), 157-167.
20. Holstein, H., Schürholz, P., Starr, A. & Chakraborty,M., 1999. Comparison of gravimetric formulas for uniform polyhedra, Geophysics, 64(5), 1438- 1446.
21. Hotelling, H., 1931. The generalization of student's ratio, Ann. Math. Stat. 2(3), 360-378.
22. Huttenlocher, D.P., Klanderman, G.A. & Rucklidge,W.J., 1993. Comparing images using the Hausdorff distance, IEEE Trans. Pattern Anal. Mach. Intell., 15(9), 850-863.
23. Jessell, M.W., Ailleres, L. & de Kemp, E.A., 2010. Towards an integrated inversion of geoscientific data: what price of geology? Tectonophysics, 490(3-4), 294-306.
24. Jolliffe, I.T., 2002. Principal Component Analysis, 2nd edn, Springer.
25. Joly, A., Martelet, G., Chen, Y. & Faure, M., 2008. A multidisciplinary study of a syntectonic pluton close to a major lithospheric-scale fault- relationships between the Montmarault granitic massif and the Sillon Houiller Fault in the Variscan French Massif Central: 2. Gravity, aeromagnetic investigations, and 3-D geologic modeling, J. geophys. Res., 113, B01404, doi:10.1029/2006JB004744.
26. Krzanowski, W.J., 1995. Selection of variables, and assessment of their performance, in mixed-variable discriminant analysis, Comput. Stat. Data Anal., 19(4), 419-431.
27. Lajaunie, C., Courrioux, G. & Manuel, L., 1997. Foliation fields and 3D cartography in geology: principles of a method based on potential interpolation, Math. Geol., 29(4), 571-584.
28. Lindsay, M.D., Aill'eres, L., Jessell, M.W., de Kemp, E.A. & Betts, P.G., 2012. Locating and quantifying geological uncertainty in threedimensional models: analysis of the Gippsland Basin, southeastern Australia, Tectonophysics, 546-547, 10-27.
29. Lindsay, M.D., Jessell, M.W., Ailleres, L., Perrouty, S., de Kemp, E.A. & Betts, P.G., 2013. Geodiversity: exploration of 3Dgeological model space, Tectonophysics, 594, 27-37.
30. Lisle, R.J. & Robinson, J.M., 1995. The Mohr circle for curvature and its application to fold description, J. Struct. Geol., 17(5), 739- 750.
31. Lisle, R.J. & Toimil, N.C., 2007. Defining folds on three-dimensional surfaces, Geology, 35(6), 519-522.
32. Loh, G., Hirdes, W., Anani, C., Davis, D.W. & Vetter, U.K., 1999. Explanatory notes for the geological map of Southwest Ghana 1: 100,000, Geologisches Jahrbuch, Reihe B, Heft 93, 150p, Bundesanstalt für Geowissenschaften und Rohstoffe. Mallet, J.-L., 2002. Geomodeling, Oxford University Press, 599pp.
33. Mallet, J.-L., 2002. Geomodeling, Oxford University Press, 599pp.
34. Metelka, V., Baratoux, L., Naba, S. & Jessell, M.W., 2011. A geophysically constrained litho-structural analysis of the Eburnean greenstone belts and associated granitoid domains, Burkina Faso, West Africa, Precambrian Res., 190, 48-69.
35. Mynatt, I., Bergbauer, S. & Pollard, D.D., 2007. Using differential geometry to describe 3-D folds, J. Struct. Geol., 29(7), 1256-1266.
36. O'Gorman, L., Sammon, M.J. & Seul, M., 2008. Practical Algorithms for Image Analysis: Description, Examples, Programs, and Projects, Cambridge University Press.
37. Okabe, M., 1979. Analytical expressions for gravity anomalies due to homogeneous polyhedral bodies and translations into magnetic anomalies, Geophysics, 44(4), 730-741.
38. Olson, C.F. & Huttenlocher, D.P., 1997. Automatic target recognition by matching oriented edge pixels, IEEE Trans. Image Process., 6(1), 103- 113.
39. Perrouty, S., 2012. Evolution structurale de la Ceinture Minéralisée d'Ashanti, Sud-Ouest Ghana, PhD thesis, Université Toulouse III - Paul Sabatier.
40. Perrouty, S., Aill'eres, L., Jessell, M.W., Baratoux, L., Bourassa, Y. & Crawford, B., 2012. Revised Eburnean geodynamic evolution of the gold-rich southern Ashanti Belt, Ghana, with new field and geophysical evidence of pre-Tarkwaian deformations, Precambrian Res., 204-205, 12-39.
41. Pigios, J.-P., Groves, D.I., Fletcher, I.R., McNaughton, N.J. & Snee, L.W., 2003. Age constraints on Tarkwaian palaeoplacer and lode-gold formation in the Tarkwa-Damang district, SW Ghana, Miner. Deposita, 38, 695- 714.
42. Plouff, D., 1976. Gravity and magnetic fields of polygonal prisms and application to magnetic terrain corrections, Geophysics, 41(4), 727-741.
43. Polson, D. & Curtis, A., 2010. Dynamics of uncertainty in geological interpretation, J. geol. Soc., 167(1), 5-10.
44. Putz, M., Stüwe, K., Jessell, M. & Calcagno, P., 2006. Three-dimensional model and late stagewarping of the Plattengneis Shear Zone in the Eastern Alps, Tectonophysics, 412(1-2), 87-103.
45. Rankey, E.C. & Mitchell, J.C., 2003. That's why it's called interpretation: impact of horizon uncertainty of seismic attribute analysis, Leading Edge, 22(9), 820-824, 826, 828.
46. Rucklidge, W.J., 1997. Efficiently locating objects using the Hausdorff distance, Int. J. Comput. Vis., 24(3), 251-270.
47. Sestini, G., 1973. Sedimentology of a Paleoplacer: The Gold-Bearing Tarkwaian of Ghana, in Ores in Sediments, pp. 275-305, Springer.
48. Shannon, C.E., 1948. A mathematical theory of communication, Bell Syst. Tech. J., 27, 379-423.
49. Sim, D.-G., Kwon, O.-K. & Park, R.-H., 1999. Object matching algorithms using robust Hausdorff distance measures, IEEE Trans. Image Process., 8(3), 425-429.
50. Suzuki, S., Caumon, G. & Caers, J., 2008. Dynamic data integration for structural modeling: model screening approach using a distance-based model parameterization, Comput. Geosci., 12(1), 105-119.
51. Thomson, J., Hetzler, E., MacEachren, A., Gahegan, M. & Pavel, M., 2005. A typology for visualizing uncertainty, in Proceedings of SPIE, The International Society for Optical Engineering, Vol. 5669, pp. 146-157.
52. Thore, P., Shtuka, A., Lecour,M., Ait-Ettajer, T. & Cognot, R., 2002. Structural uncertainties: determination, management, and applications, Geophysics, 67(3), 840-852.
53. Tunks, A.J., Selley, D., Rogers, J.R. & Brabham, G., 2004. Vein mineralization at the Damang Gold Mine, Ghana: controls on mineralization, J. Struct. Geol., 26, 1257-1273.
54. Viard, T., Caumon, G. & Lévy, B., 2010. Adjacent versus coincident representations of geospatial uncertainty: which promote better decisions? Comput. Geosci., 37(4), 511-520.
55. Wang, L. & Suter, D., 2007. Learning and matching of dynamic shape manifolds for human action recognition, IEEE Trans. Image Process., 16(6), 1646-1661.
56. Wellmann, J.F. & Regenauer-Lieb, K., 2012. Uncertainties have a meaning: information entropy as a quality measure for 3-D geological models, Tectonophysics, 526-529, 207-216.
57. Wellmann, J.F., Horowitz, F.G., Schill, E. & Regenauer-Lieb, K., 2010. Towards incorporating uncertainty of structural data in 3D geological inversion, Tectonophysics, 490(3-4), 141-151.
58. Williams, H.A., Betts, P.G. & Ailleres, L., 2009. Constrained 3D modeling of the Mesoproterozoic Benagerie Volcanics, Australia, Phys. Earth planet. Inter., 173(3-4), 233-253.
59. Yeten,B., Brouwer,D.R., Durlofsky, L.J. & Aziz, K., 2004. Decision analysis under uncertainty for smart well deployment, J. Petrol. Sci. Eng., 43(3-4), 183-199.